GRE Complete Prep
Master the Graduate Record Examination with comprehensive prep covering Verbal Reasoning, Quantitative Reasoning, and Analytical Writing. Learn test strategies and build the skills needed for graduate school admission.
Overview
Master the Graduate Record Examination with comprehensive prep covering Verbal Reasoning, Quantitative Reasoning, and Analytical Writing. Learn test strategies and build the skills needed for graduate school admission.
What you'll learn
- Master GRE question types
- Develop effective time management
- Build vocabulary systematically
- Strengthen quantitative skills
Course Modules
25 modules 1 Understanding the GRE
Learn about the GRE structure, scoring, and what graduate schools look for in applicants.
30m
Understanding the GRE
Learn about the GRE structure, scoring, and what graduate schools look for in applicants.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain GRE General Test
- Define and explain ScoreSelect
- Define and explain Section-Level Adaptation
- Define and explain Percentile Ranking
- Define and explain Verbal Score
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
The Graduate Record Examination (GRE) is your gateway to graduate and business school admissions.
In this module, we will explore the fascinating world of Understanding the GRE. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
GRE General Test
What is GRE General Test?
Definition: Standardized exam measuring verbal, quantitative, and analytical writing skills for graduate admissions
When experts study gre general test, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding gre general test helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: GRE General Test is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
ScoreSelect
What is ScoreSelect?
Definition: GRE feature allowing test-takers to choose which scores to send to schools
The concept of scoreselect has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about scoreselect, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about scoreselect every day.
Key Point: ScoreSelect is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Section-Level Adaptation
What is Section-Level Adaptation?
Definition: Test format where difficulty of second section depends on first section performance
To fully appreciate section-level adaptation, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of section-level adaptation in different contexts around you.
Key Point: Section-Level Adaptation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Percentile Ranking
What is Percentile Ranking?
Definition: Score comparison showing how you performed relative to other test-takers
Understanding percentile ranking helps us make sense of many processes that affect our daily lives. Experts use their knowledge of percentile ranking to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Percentile Ranking is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Verbal Score
What is Verbal Score?
Definition: Score from 130-170 measuring reading comprehension and vocabulary
The study of verbal score reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Verbal Score is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: The GRE Ecosystem
The GRE General Test measures skills developed over time: verbal reasoning, quantitative reasoning, and analytical writing. It's accepted by thousands of graduate programs worldwide, including MBA programs. The adaptive format adjusts difficulty based on performance within each section.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? The GRE was first administered in 1936 to just four graduate schools!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| GRE General Test | Standardized exam measuring verbal, quantitative, and analytical writing skills for graduate admissions |
| ScoreSelect | GRE feature allowing test-takers to choose which scores to send to schools |
| Section-Level Adaptation | Test format where difficulty of second section depends on first section performance |
| Percentile Ranking | Score comparison showing how you performed relative to other test-takers |
| Verbal Score | Score from 130-170 measuring reading comprehension and vocabulary |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what GRE General Test means and give an example of why it is important.
In your own words, explain what ScoreSelect means and give an example of why it is important.
In your own words, explain what Section-Level Adaptation means and give an example of why it is important.
In your own words, explain what Percentile Ranking means and give an example of why it is important.
In your own words, explain what Verbal Score means and give an example of why it is important.
Summary
In this module, we explored Understanding the GRE. We learned about gre general test, scoreselect, section-level adaptation, percentile ranking, verbal score. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
2 Text Completion Strategies
Master techniques for filling in blanks with the most appropriate words in context.
30m
Text Completion Strategies
Master techniques for filling in blanks with the most appropriate words in context.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Context Clue
- Define and explain Transition Word
- Define and explain Positive/Negative Charge
- Define and explain Pivot Word
- Define and explain Same Direction
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Text Completion questions test your ability to analyze context and select precise vocabulary.
In this module, we will explore the fascinating world of Text Completion Strategies. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Context Clue
What is Context Clue?
Definition: Word or phrase in a sentence that hints at the meaning of an unknown word
When experts study context clue, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding context clue helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Context Clue is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Transition Word
What is Transition Word?
Definition: Words like however, therefore, and although that signal relationships between ideas
The concept of transition word has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about transition word, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about transition word every day.
Key Point: Transition Word is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Positive/Negative Charge
What is Positive/Negative Charge?
Definition: The general emotional direction a blank must take based on context
To fully appreciate positive/negative charge, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of positive/negative charge in different contexts around you.
Key Point: Positive/Negative Charge is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Pivot Word
What is Pivot Word?
Definition: A transition that indicates a shift in direction or contrast
Understanding pivot word helps us make sense of many processes that affect our daily lives. Experts use their knowledge of pivot word to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Pivot Word is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Same Direction
What is Same Direction?
Definition: When a transition maintains the meaning established by prior context
The study of same direction reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Same Direction is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Decoding Text Completion
Text Completion questions have 1-3 blanks with 3-5 answer choices per blank. For multi-blank questions, you must get all blanks correct—no partial credit. The key strategy is to use context clues, transition words, and sentence logic to predict answers before looking at choices.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? Triple-blank text completions have a 1 in 125 chance of guessing correctly!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Context Clue | Word or phrase in a sentence that hints at the meaning of an unknown word |
| Transition Word | Words like however, therefore, and although that signal relationships between ideas |
| Positive/Negative Charge | The general emotional direction a blank must take based on context |
| Pivot Word | A transition that indicates a shift in direction or contrast |
| Same Direction | When a transition maintains the meaning established by prior context |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Context Clue means and give an example of why it is important.
In your own words, explain what Transition Word means and give an example of why it is important.
In your own words, explain what Positive/Negative Charge means and give an example of why it is important.
In your own words, explain what Pivot Word means and give an example of why it is important.
In your own words, explain what Same Direction means and give an example of why it is important.
Summary
In this module, we explored Text Completion Strategies. We learned about context clue, transition word, positive/negative charge, pivot word, same direction. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
3 Sentence Equivalence
Learn to identify pairs of words that create sentences with equivalent meanings.
30m
Sentence Equivalence
Learn to identify pairs of words that create sentences with equivalent meanings.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Synonym Pair
- Define and explain Contextual Fit
- Define and explain Equivalent Meaning
- Define and explain Decoy Answer
- Define and explain Word Charge
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Sentence Equivalence questions require selecting two words that produce similar sentence meanings.
In this module, we will explore the fascinating world of Sentence Equivalence. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Synonym Pair
What is Synonym Pair?
Definition: Two words with similar meanings that might be correct answers
When experts study synonym pair, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding synonym pair helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Synonym Pair is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Contextual Fit
What is Contextual Fit?
Definition: How well a word works within the specific meaning of a sentence
The concept of contextual fit has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about contextual fit, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about contextual fit every day.
Key Point: Contextual Fit is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Equivalent Meaning
What is Equivalent Meaning?
Definition: When two completed sentences convey essentially the same idea
To fully appreciate equivalent meaning, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of equivalent meaning in different contexts around you.
Key Point: Equivalent Meaning is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Decoy Answer
What is Decoy Answer?
Definition: An answer choice designed to seem correct but that creates a different meaning
Understanding decoy answer helps us make sense of many processes that affect our daily lives. Experts use their knowledge of decoy answer to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Decoy Answer is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Word Charge
What is Word Charge?
Definition: The positive, negative, or neutral connotation of a word
The study of word charge reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Word Charge is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Mastering Sentence Equivalence
Each Sentence Equivalence question presents a single sentence with one blank and six answer choices. You must select exactly two answers that create sentences with equivalent meanings. The trap: two words might be synonyms but not fit the context, or two words might fit but create different meanings.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? Sentence Equivalence only appears in the Verbal section and always has exactly 6 answer choices.
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Synonym Pair | Two words with similar meanings that might be correct answers |
| Contextual Fit | How well a word works within the specific meaning of a sentence |
| Equivalent Meaning | When two completed sentences convey essentially the same idea |
| Decoy Answer | An answer choice designed to seem correct but that creates a different meaning |
| Word Charge | The positive, negative, or neutral connotation of a word |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Synonym Pair means and give an example of why it is important.
In your own words, explain what Contextual Fit means and give an example of why it is important.
In your own words, explain what Equivalent Meaning means and give an example of why it is important.
In your own words, explain what Decoy Answer means and give an example of why it is important.
In your own words, explain what Word Charge means and give an example of why it is important.
Summary
In this module, we explored Sentence Equivalence. We learned about synonym pair, contextual fit, equivalent meaning, decoy answer, word charge. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
4 Reading Comprehension Passages
Develop strategies for efficiently reading and understanding complex academic passages.
30m
Reading Comprehension Passages
Develop strategies for efficiently reading and understanding complex academic passages.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Main Idea
- Define and explain Author Purpose
- Define and explain Passage Structure
- Define and explain Supporting Detail
- Define and explain Inference
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
GRE passages span humanities, social sciences, and natural sciences at a graduate level.
In this module, we will explore the fascinating world of Reading Comprehension Passages. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Main Idea
What is Main Idea?
Definition: The central point or argument of a passage
When experts study main idea, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding main idea helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Main Idea is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Author Purpose
What is Author Purpose?
Definition: The reason why the author wrote the passage
The concept of author purpose has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about author purpose, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about author purpose every day.
Key Point: Author Purpose is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Passage Structure
What is Passage Structure?
Definition: How a passage is organized (chronological, cause-effect, compare-contrast)
To fully appreciate passage structure, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of passage structure in different contexts around you.
Key Point: Passage Structure is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Supporting Detail
What is Supporting Detail?
Definition: Specific information used to support the main argument
Understanding supporting detail helps us make sense of many processes that affect our daily lives. Experts use their knowledge of supporting detail to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Supporting Detail is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Inference
What is Inference?
Definition: A conclusion drawn from evidence rather than explicit statements
The study of inference reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Inference is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Strategic Reading for the GRE
GRE reading passages come in three lengths: long (450+ words), short (150-200 words), and paragraph argument (1-2 sentences). Rather than reading every word carefully, focus on understanding the main idea, author's purpose, and paragraph structure. Annotate mentally or briefly note key points and transitions.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? GRE passages are often taken from real academic journals and modified for the test!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Main Idea | The central point or argument of a passage |
| Author Purpose | The reason why the author wrote the passage |
| Passage Structure | How a passage is organized (chronological, cause-effect, compare-contrast) |
| Supporting Detail | Specific information used to support the main argument |
| Inference | A conclusion drawn from evidence rather than explicit statements |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Main Idea means and give an example of why it is important.
In your own words, explain what Author Purpose means and give an example of why it is important.
In your own words, explain what Passage Structure means and give an example of why it is important.
In your own words, explain what Supporting Detail means and give an example of why it is important.
In your own words, explain what Inference means and give an example of why it is important.
Summary
In this module, we explored Reading Comprehension Passages. We learned about main idea, author purpose, passage structure, supporting detail, inference. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
5 Reading Comprehension Question Types
Master the different question types and the strategies specific to each.
30m
Reading Comprehension Question Types
Master the different question types and the strategies specific to each.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Detail Question
- Define and explain Inference Question
- Define and explain Function Question
- Define and explain Select-in-Passage
- Define and explain Multiple Answer
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
GRE reading questions range from factual recall to complex inference and application.
In this module, we will explore the fascinating world of Reading Comprehension Question Types. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Detail Question
What is Detail Question?
Definition: A question asking what the passage explicitly states
When experts study detail question, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding detail question helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Detail Question is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Inference Question
What is Inference Question?
Definition: A question requiring conclusions based on passage information
The concept of inference question has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about inference question, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about inference question every day.
Key Point: Inference Question is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Function Question
What is Function Question?
Definition: A question about why the author included specific content
To fully appreciate function question, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of function question in different contexts around you.
Key Point: Function Question is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Select-in-Passage
What is Select-in-Passage?
Definition: Questions requiring you to click on a specific sentence in the text
Understanding select-in-passage helps us make sense of many processes that affect our daily lives. Experts use their knowledge of select-in-passage to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Select-in-Passage is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Multiple Answer
What is Multiple Answer?
Definition: Reading questions where more than one answer may be correct
The study of multiple answer reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Multiple Answer is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Categorizing Question Types
Key question types include: Main Idea (what's the central point?), Detail (what does the passage say?), Inference (what can be concluded?), Function (why did the author include this?), Strengthen/Weaken (what affects the argument?), and Select-in-Passage (click the sentence that does X). Each type requires a different approach.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? Select-in-Passage questions are unique to the computer-based GRE and don't appear in paper tests!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Detail Question | A question asking what the passage explicitly states |
| Inference Question | A question requiring conclusions based on passage information |
| Function Question | A question about why the author included specific content |
| Select-in-Passage | Questions requiring you to click on a specific sentence in the text |
| Multiple Answer | Reading questions where more than one answer may be correct |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Detail Question means and give an example of why it is important.
In your own words, explain what Inference Question means and give an example of why it is important.
In your own words, explain what Function Question means and give an example of why it is important.
In your own words, explain what Select-in-Passage means and give an example of why it is important.
In your own words, explain what Multiple Answer means and give an example of why it is important.
Summary
In this module, we explored Reading Comprehension Question Types. We learned about detail question, inference question, function question, select-in-passage, multiple answer. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
6 GRE Vocabulary Building
Build a strong vocabulary foundation using effective memorization and context strategies.
30m
GRE Vocabulary Building
Build a strong vocabulary foundation using effective memorization and context strategies.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Word Root
- Define and explain Prefix
- Define and explain Suffix
- Define and explain Spaced Repetition
- Define and explain Word Family
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
GRE vocabulary emphasizes words commonly used in academic and professional contexts.
In this module, we will explore the fascinating world of GRE Vocabulary Building. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Word Root
What is Word Root?
Definition: The core meaning element of a word, often from Latin or Greek
When experts study word root, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding word root helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Word Root is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Prefix
What is Prefix?
Definition: A word part added before the root that modifies meaning
The concept of prefix has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about prefix, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about prefix every day.
Key Point: Prefix is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Suffix
What is Suffix?
Definition: A word part added after the root that often indicates part of speech
To fully appreciate suffix, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of suffix in different contexts around you.
Key Point: Suffix is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Spaced Repetition
What is Spaced Repetition?
Definition: A learning technique that reviews material at increasing intervals
Understanding spaced repetition helps us make sense of many processes that affect our daily lives. Experts use their knowledge of spaced repetition to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Spaced Repetition is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Word Family
What is Word Family?
Definition: A group of related words sharing the same root
The study of word family reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Word Family is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Strategic Vocabulary Acquisition
Rather than memorizing dictionary definitions, learn words in context through quality reading. Focus on high-frequency GRE words and learn word families together (e.g., prescient, prescience). Use spaced repetition, create vivid associations, and practice using new words in sentences. Understanding roots, prefixes, and suffixes helps decode unfamiliar words on test day.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? Many GRE words come from Latin and Greek roots—knowing 30 roots can help you decode hundreds of words!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Word Root | The core meaning element of a word, often from Latin or Greek |
| Prefix | A word part added before the root that modifies meaning |
| Suffix | A word part added after the root that often indicates part of speech |
| Spaced Repetition | A learning technique that reviews material at increasing intervals |
| Word Family | A group of related words sharing the same root |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Word Root means and give an example of why it is important.
In your own words, explain what Prefix means and give an example of why it is important.
In your own words, explain what Suffix means and give an example of why it is important.
In your own words, explain what Spaced Repetition means and give an example of why it is important.
In your own words, explain what Word Family means and give an example of why it is important.
Summary
In this module, we explored GRE Vocabulary Building. We learned about word root, prefix, suffix, spaced repetition, word family. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
7 Critical Reasoning
Analyze arguments, identify assumptions, and evaluate reasoning patterns.
30m
Critical Reasoning
Analyze arguments, identify assumptions, and evaluate reasoning patterns.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Premise
- Define and explain Conclusion
- Define and explain Assumption
- Define and explain Strengthen
- Define and explain Weaken
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Critical Reasoning questions test your ability to analyze and evaluate arguments.
In this module, we will explore the fascinating world of Critical Reasoning. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Premise
What is Premise?
Definition: A statement offered as evidence or support for a conclusion
When experts study premise, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding premise helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Premise is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Conclusion
What is Conclusion?
Definition: The main claim or point that an argument is trying to establish
The concept of conclusion has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about conclusion, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about conclusion every day.
Key Point: Conclusion is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Assumption
What is Assumption?
Definition: An unstated belief necessary for an argument to be valid
To fully appreciate assumption, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of assumption in different contexts around you.
Key Point: Assumption is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Strengthen
What is Strengthen?
Definition: To add evidence that makes an argument more convincing
Understanding strengthen helps us make sense of many processes that affect our daily lives. Experts use their knowledge of strengthen to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Strengthen is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Weaken
What is Weaken?
Definition: To provide information that undermines an argument's reasoning
The study of weaken reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Weaken is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Argument Analysis
Every argument has premises (evidence) and a conclusion. The gap between them is the assumption—what must be true for the argument to work. Strengthen questions add support; Weaken questions attack assumptions. Evaluate questions ask what information would help assess the argument. Always identify the conclusion first.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? Critical Reasoning questions originally came from the GMAT and were added to make the GRE more business-school friendly!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Premise | A statement offered as evidence or support for a conclusion |
| Conclusion | The main claim or point that an argument is trying to establish |
| Assumption | An unstated belief necessary for an argument to be valid |
| Strengthen | To add evidence that makes an argument more convincing |
| Weaken | To provide information that undermines an argument's reasoning |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Premise means and give an example of why it is important.
In your own words, explain what Conclusion means and give an example of why it is important.
In your own words, explain what Assumption means and give an example of why it is important.
In your own words, explain what Strengthen means and give an example of why it is important.
In your own words, explain what Weaken means and give an example of why it is important.
Summary
In this module, we explored Critical Reasoning. We learned about premise, conclusion, assumption, strengthen, weaken. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
8 Analytical Writing: Issue Essay
Learn to analyze complex issues and develop persuasive, well-structured arguments.
30m
Analytical Writing: Issue Essay
Learn to analyze complex issues and develop persuasive, well-structured arguments.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Thesis Statement
- Define and explain Topic Sentence
- Define and explain Counterargument
- Define and explain Specific Example
- Define and explain Transitional Phrase
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
The Issue Essay asks you to present your perspective on a broad intellectual topic.
In this module, we will explore the fascinating world of Analytical Writing: Issue Essay. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Thesis Statement
What is Thesis Statement?
Definition: A clear sentence stating your position on the issue
When experts study thesis statement, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding thesis statement helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Thesis Statement is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Topic Sentence
What is Topic Sentence?
Definition: The main idea sentence that begins each body paragraph
The concept of topic sentence has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about topic sentence, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about topic sentence every day.
Key Point: Topic Sentence is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Counterargument
What is Counterargument?
Definition: An opposing viewpoint that you acknowledge and address
To fully appreciate counterargument, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of counterargument in different contexts around you.
Key Point: Counterargument is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Specific Example
What is Specific Example?
Definition: Concrete evidence from history, current events, or experience
Understanding specific example helps us make sense of many processes that affect our daily lives. Experts use their knowledge of specific example to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Specific Example is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Transitional Phrase
What is Transitional Phrase?
Definition: Words connecting ideas between sentences and paragraphs
The study of transitional phrase reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Transitional Phrase is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Crafting a Compelling Issue Essay
You have 30 minutes to analyze an issue statement and argue your position. Success requires: a clear thesis stating your position, 2-3 well-developed body paragraphs with specific examples, consideration of counterarguments, and sophisticated vocabulary and sentence variety. Plan for 5 minutes, write for 22, and proofread for 3.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? ETS publishes all possible Issue and Argument prompts in their pool—over 150 topics each!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Thesis Statement | A clear sentence stating your position on the issue |
| Topic Sentence | The main idea sentence that begins each body paragraph |
| Counterargument | An opposing viewpoint that you acknowledge and address |
| Specific Example | Concrete evidence from history, current events, or experience |
| Transitional Phrase | Words connecting ideas between sentences and paragraphs |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Thesis Statement means and give an example of why it is important.
In your own words, explain what Topic Sentence means and give an example of why it is important.
In your own words, explain what Counterargument means and give an example of why it is important.
In your own words, explain what Specific Example means and give an example of why it is important.
In your own words, explain what Transitional Phrase means and give an example of why it is important.
Summary
In this module, we explored Analytical Writing: Issue Essay. We learned about thesis statement, topic sentence, counterargument, specific example, transitional phrase. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
9 Analytical Writing: Argument Essay
Develop skills to critique the reasoning and evidence in a given argument.
30m
Analytical Writing: Argument Essay
Develop skills to critique the reasoning and evidence in a given argument.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Logical Flaw
- Define and explain Unsupported Assumption
- Define and explain False Causation
- Define and explain Sampling Error
- Define and explain Alternative Explanation
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
The Argument Essay requires you to analyze the logical soundness of someone else's argument.
In this module, we will explore the fascinating world of Analytical Writing: Argument Essay. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Logical Flaw
What is Logical Flaw?
Definition: An error in reasoning that weakens an argument
When experts study logical flaw, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding logical flaw helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Logical Flaw is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Unsupported Assumption
What is Unsupported Assumption?
Definition: A claim taken for granted without evidence
The concept of unsupported assumption has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about unsupported assumption, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about unsupported assumption every day.
Key Point: Unsupported Assumption is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
False Causation
What is False Causation?
Definition: Assuming one event caused another just because it came first
To fully appreciate false causation, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of false causation in different contexts around you.
Key Point: False Causation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Sampling Error
What is Sampling Error?
Definition: Drawing conclusions from an unrepresentative group
Understanding sampling error helps us make sense of many processes that affect our daily lives. Experts use their knowledge of sampling error to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Sampling Error is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Alternative Explanation
What is Alternative Explanation?
Definition: A different possible cause for an observed outcome
The study of alternative explanation reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Alternative Explanation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Dissecting Arguments
Unlike the Issue Essay, you don't give your opinion on the topic—you critique the argument's reasoning. Common flaws include: unsupported assumptions, weak analogies, questionable statistics, false causation, and sampling errors. Explain why each flaw weakens the argument and what evidence would strengthen it.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? The Argument Essay was designed to test skills needed for graduate-level research critique!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Logical Flaw | An error in reasoning that weakens an argument |
| Unsupported Assumption | A claim taken for granted without evidence |
| False Causation | Assuming one event caused another just because it came first |
| Sampling Error | Drawing conclusions from an unrepresentative group |
| Alternative Explanation | A different possible cause for an observed outcome |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Logical Flaw means and give an example of why it is important.
In your own words, explain what Unsupported Assumption means and give an example of why it is important.
In your own words, explain what False Causation means and give an example of why it is important.
In your own words, explain what Sampling Error means and give an example of why it is important.
In your own words, explain what Alternative Explanation means and give an example of why it is important.
Summary
In this module, we explored Analytical Writing: Argument Essay. We learned about logical flaw, unsupported assumption, false causation, sampling error, alternative explanation. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
10 Arithmetic and Number Properties
Review fundamental number concepts and properties essential for GRE Quant.
30m
Arithmetic and Number Properties
Review fundamental number concepts and properties essential for GRE Quant.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Prime Number
- Define and explain Factor
- Define and explain Multiple
- Define and explain Remainder
- Define and explain Divisibility Rule
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Strong arithmetic foundations are essential for success on GRE Quantitative Reasoning.
In this module, we will explore the fascinating world of Arithmetic and Number Properties. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Prime Number
What is Prime Number?
Definition: A positive integer greater than 1 with exactly two factors: 1 and itself
When experts study prime number, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding prime number helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Prime Number is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Factor
What is Factor?
Definition: A number that divides evenly into another number
The concept of factor has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about factor, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about factor every day.
Key Point: Factor is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Multiple
What is Multiple?
Definition: The product of a number and any integer
To fully appreciate multiple, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of multiple in different contexts around you.
Key Point: Multiple is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Remainder
What is Remainder?
Definition: The amount left over after division
Understanding remainder helps us make sense of many processes that affect our daily lives. Experts use their knowledge of remainder to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Remainder is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Divisibility Rule
What is Divisibility Rule?
Definition: A shortcut to determine if one number divides evenly into another
The study of divisibility rule reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Divisibility Rule is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Number Fundamentals
Master properties of integers, primes, factors, multiples, and remainders. Understand odd/even rules, positive/negative multiplication, and divisibility tests. Know absolute value, order of operations, and number line concepts. These basics appear in many GRE problems and are essential for efficient solving.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? The number 1 is neither prime nor composite—it's a common GRE trap!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Prime Number | A positive integer greater than 1 with exactly two factors: 1 and itself |
| Factor | A number that divides evenly into another number |
| Multiple | The product of a number and any integer |
| Remainder | The amount left over after division |
| Divisibility Rule | A shortcut to determine if one number divides evenly into another |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Prime Number means and give an example of why it is important.
In your own words, explain what Factor means and give an example of why it is important.
In your own words, explain what Multiple means and give an example of why it is important.
In your own words, explain what Remainder means and give an example of why it is important.
In your own words, explain what Divisibility Rule means and give an example of why it is important.
Summary
In this module, we explored Arithmetic and Number Properties. We learned about prime number, factor, multiple, remainder, divisibility rule. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
11 Fractions, Decimals, and Percents
Master conversions and operations with fractions, decimals, and percentages.
30m
Fractions, Decimals, and Percents
Master conversions and operations with fractions, decimals, and percentages.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Common Denominator
- Define and explain Percent Change
- Define and explain Compound Percent
- Define and explain Reciprocal
- Define and explain Decimal Equivalent
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Fluency with fractions, decimals, and percents is crucial for GRE math efficiency.
In this module, we will explore the fascinating world of Fractions, Decimals, and Percents. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Common Denominator
What is Common Denominator?
Definition: A shared denominator needed to add or subtract fractions
When experts study common denominator, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding common denominator helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Common Denominator is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Percent Change
What is Percent Change?
Definition: The ratio of change to original value, expressed as a percentage
The concept of percent change has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about percent change, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about percent change every day.
Key Point: Percent Change is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Compound Percent
What is Compound Percent?
Definition: Successive percent changes applied to updated values
To fully appreciate compound percent, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of compound percent in different contexts around you.
Key Point: Compound Percent is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Reciprocal
What is Reciprocal?
Definition: A fraction flipped (a/b becomes b/a), used in division
Understanding reciprocal helps us make sense of many processes that affect our daily lives. Experts use their knowledge of reciprocal to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Reciprocal is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Decimal Equivalent
What is Decimal Equivalent?
Definition: The decimal form of a fraction or percent
The study of decimal equivalent reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Decimal Equivalent is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Converting and Computing
Know common fraction-decimal-percent equivalents by heart (1/4 = 0.25 = 25%). For fraction operations, find common denominators for addition/subtraction, multiply straight across, and flip to divide. For percent problems, translate to equations: "is" means equals, "of" means multiply. Understand percent change: (new - old)/old × 100.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? A 25% increase followed by a 20% decrease returns you to exactly the original value!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Common Denominator | A shared denominator needed to add or subtract fractions |
| Percent Change | The ratio of change to original value, expressed as a percentage |
| Compound Percent | Successive percent changes applied to updated values |
| Reciprocal | A fraction flipped (a/b becomes b/a), used in division |
| Decimal Equivalent | The decimal form of a fraction or percent |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Common Denominator means and give an example of why it is important.
In your own words, explain what Percent Change means and give an example of why it is important.
In your own words, explain what Compound Percent means and give an example of why it is important.
In your own words, explain what Reciprocal means and give an example of why it is important.
In your own words, explain what Decimal Equivalent means and give an example of why it is important.
Summary
In this module, we explored Fractions, Decimals, and Percents. We learned about common denominator, percent change, compound percent, reciprocal, decimal equivalent. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
12 Ratios and Proportions
Apply ratio and proportion concepts to solve comparison and scaling problems.
30m
Ratios and Proportions
Apply ratio and proportion concepts to solve comparison and scaling problems.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Ratio
- Define and explain Proportion
- Define and explain Ratio Multiplier
- Define and explain Cross-Multiplication
- Define and explain Rate
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Ratio problems appear frequently on the GRE in various formats and applications.
In this module, we will explore the fascinating world of Ratios and Proportions. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Ratio
What is Ratio?
Definition: A comparison of two quantities, often written as a:b or a/b
When experts study ratio, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding ratio helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Ratio is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Proportion
What is Proportion?
Definition: An equation stating that two ratios are equal
The concept of proportion has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about proportion, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about proportion every day.
Key Point: Proportion is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Ratio Multiplier
What is Ratio Multiplier?
Definition: A variable (x) used to find actual values from a ratio
To fully appreciate ratio multiplier, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of ratio multiplier in different contexts around you.
Key Point: Ratio Multiplier is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Cross-Multiplication
What is Cross-Multiplication?
Definition: A technique for solving proportions: a/b = c/d → ad = bc
Understanding cross-multiplication helps us make sense of many processes that affect our daily lives. Experts use their knowledge of cross-multiplication to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Cross-Multiplication is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Rate
What is Rate?
Definition: A ratio comparing quantities with different units
The study of rate reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Rate is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Working with Ratios
A ratio compares quantities; a proportion says two ratios are equal. Use the ratio multiplier technique: if a:b = 3:5, then a = 3x and b = 5x for some value x. Cross-multiply to solve proportions. For rate problems, remember rate × time = work (or distance). Multi-step ratio problems often require finding a common term.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? The golden ratio (approximately 1.618) appears throughout art, architecture, and nature!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Ratio | A comparison of two quantities, often written as a:b or a/b |
| Proportion | An equation stating that two ratios are equal |
| Ratio Multiplier | A variable (x) used to find actual values from a ratio |
| Cross-Multiplication | A technique for solving proportions: a/b = c/d → ad = bc |
| Rate | A ratio comparing quantities with different units |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Ratio means and give an example of why it is important.
In your own words, explain what Proportion means and give an example of why it is important.
In your own words, explain what Ratio Multiplier means and give an example of why it is important.
In your own words, explain what Cross-Multiplication means and give an example of why it is important.
In your own words, explain what Rate means and give an example of why it is important.
Summary
In this module, we explored Ratios and Proportions. We learned about ratio, proportion, ratio multiplier, cross-multiplication, rate. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
13 Algebra Fundamentals
Build core algebra skills for equations, expressions, and inequalities.
30m
Algebra Fundamentals
Build core algebra skills for equations, expressions, and inequalities.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Linear Equation
- Define and explain Inequality
- Define and explain FOIL Method
- Define and explain Factoring
- Define and explain Variable Isolation
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Algebraic manipulation is tested throughout GRE Quantitative Reasoning.
In this module, we will explore the fascinating world of Algebra Fundamentals. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Linear Equation
What is Linear Equation?
Definition: An equation where the highest power of the variable is 1
When experts study linear equation, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding linear equation helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Linear Equation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Inequality
What is Inequality?
Definition: A statement comparing expressions using <, >, ≤, or ≥
The concept of inequality has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about inequality, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about inequality every day.
Key Point: Inequality is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
FOIL Method
What is FOIL Method?
Definition: First, Outer, Inner, Last—a technique for multiplying binomials
To fully appreciate foil method, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of foil method in different contexts around you.
Key Point: FOIL Method is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Factoring
What is Factoring?
Definition: Breaking an expression into a product of simpler expressions
Understanding factoring helps us make sense of many processes that affect our daily lives. Experts use their knowledge of factoring to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Factoring is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Variable Isolation
What is Variable Isolation?
Definition: Rearranging an equation to get a variable alone on one side
The study of variable isolation reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Variable Isolation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Algebraic Foundations
Master solving linear equations and inequalities (remember to flip the sign when multiplying/dividing by negatives). Know FOIL for expanding and factoring for simplifying quadratics. Understand how to translate word problems into equations. Practice isolating variables and simplifying expressions quickly.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? The word "algebra" comes from the Arabic "al-jabr," meaning "the reunion of broken parts"!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Linear Equation | An equation where the highest power of the variable is 1 |
| Inequality | A statement comparing expressions using <, >, ≤, or ≥ |
| FOIL Method | First, Outer, Inner, Last—a technique for multiplying binomials |
| Factoring | Breaking an expression into a product of simpler expressions |
| Variable Isolation | Rearranging an equation to get a variable alone on one side |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Linear Equation means and give an example of why it is important.
In your own words, explain what Inequality means and give an example of why it is important.
In your own words, explain what FOIL Method means and give an example of why it is important.
In your own words, explain what Factoring means and give an example of why it is important.
In your own words, explain what Variable Isolation means and give an example of why it is important.
Summary
In this module, we explored Algebra Fundamentals. We learned about linear equation, inequality, foil method, factoring, variable isolation. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
14 Functions and Coordinate Geometry
Understand function notation, graphs, and coordinate plane concepts.
30m
Functions and Coordinate Geometry
Understand function notation, graphs, and coordinate plane concepts.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Function Notation
- Define and explain Slope
- Define and explain Y-Intercept
- Define and explain Parabola
- Define and explain Midpoint Formula
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Functions and coordinate geometry connect algebra to visual representations.
In this module, we will explore the fascinating world of Functions and Coordinate Geometry. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Function Notation
What is Function Notation?
Definition: Writing f(x) to represent a function's output for input x
When experts study function notation, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding function notation helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Function Notation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Slope
What is Slope?
Definition: The steepness of a line, calculated as rise over run
The concept of slope has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about slope, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about slope every day.
Key Point: Slope is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Y-Intercept
What is Y-Intercept?
Definition: The point where a line crosses the y-axis
To fully appreciate y-intercept, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of y-intercept in different contexts around you.
Key Point: Y-Intercept is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Parabola
What is Parabola?
Definition: The U-shaped graph of a quadratic function
Understanding parabola helps us make sense of many processes that affect our daily lives. Experts use their knowledge of parabola to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Parabola is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Midpoint Formula
What is Midpoint Formula?
Definition: The point exactly between two coordinates: ((x₁+x₂)/2, (y₁+y₂)/2)
The study of midpoint formula reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Midpoint Formula is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Functions and the Coordinate Plane
Understand f(x) notation—f(3) means substitute 3 for x. Know linear function slope-intercept form (y = mx + b) and point-slope form. Calculate slope as rise/run. For quadratics, find the vertex and understand parabola shapes. Master distance and midpoint formulas for coordinate problems.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? The slope of a vertical line is undefined because you can't divide by zero!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Function Notation | Writing f(x) to represent a function's output for input x |
| Slope | The steepness of a line, calculated as rise over run |
| Y-Intercept | The point where a line crosses the y-axis |
| Parabola | The U-shaped graph of a quadratic function |
| Midpoint Formula | The point exactly between two coordinates: ((x₁+x₂)/2, (y₁+y₂)/2) |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Function Notation means and give an example of why it is important.
In your own words, explain what Slope means and give an example of why it is important.
In your own words, explain what Y-Intercept means and give an example of why it is important.
In your own words, explain what Parabola means and give an example of why it is important.
In your own words, explain what Midpoint Formula means and give an example of why it is important.
Summary
In this module, we explored Functions and Coordinate Geometry. We learned about function notation, slope, y-intercept, parabola, midpoint formula. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
15 Exponents and Roots
Master the rules of exponents and operations with radical expressions.
30m
Exponents and Roots
Master the rules of exponents and operations with radical expressions.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Exponent Rule
- Define and explain Negative Exponent
- Define and explain Fractional Exponent
- Define and explain Radical
- Define and explain Perfect Square
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Exponent rules appear throughout GRE Quant and are essential for efficient problem-solving.
In this module, we will explore the fascinating world of Exponents and Roots. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Exponent Rule
What is Exponent Rule?
Definition: Rules governing operations with powers (multiply, divide, power of power)
When experts study exponent rule, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding exponent rule helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Exponent Rule is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Negative Exponent
What is Negative Exponent?
Definition: An exponent indicating a reciprocal: x⁻ⁿ = 1/xⁿ
The concept of negative exponent has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about negative exponent, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about negative exponent every day.
Key Point: Negative Exponent is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Fractional Exponent
What is Fractional Exponent?
Definition: An exponent representing a root: x^(m/n) = ⁿ√(xᵐ)
To fully appreciate fractional exponent, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of fractional exponent in different contexts around you.
Key Point: Fractional Exponent is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Radical
What is Radical?
Definition: An expression containing a root symbol (√)
Understanding radical helps us make sense of many processes that affect our daily lives. Experts use their knowledge of radical to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Radical is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Perfect Square
What is Perfect Square?
Definition: A number that is the square of an integer
The study of perfect square reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Perfect Square is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Powers and Roots
Know the exponent rules: multiply bases means add exponents, divide means subtract, power of a power means multiply. Negative exponents mean reciprocals. Fractional exponents connect to roots: x^(1/2) = √x. Simplify radicals by factoring out perfect squares. Watch for traps with negative bases raised to even/odd powers.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? Any non-zero number raised to the power of 0 equals 1, but 0⁰ is considered undefined!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Exponent Rule | Rules governing operations with powers (multiply, divide, power of power) |
| Negative Exponent | An exponent indicating a reciprocal: x⁻ⁿ = 1/xⁿ |
| Fractional Exponent | An exponent representing a root: x^(m/n) = ⁿ√(xᵐ) |
| Radical | An expression containing a root symbol (√) |
| Perfect Square | A number that is the square of an integer |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Exponent Rule means and give an example of why it is important.
In your own words, explain what Negative Exponent means and give an example of why it is important.
In your own words, explain what Fractional Exponent means and give an example of why it is important.
In your own words, explain what Radical means and give an example of why it is important.
In your own words, explain what Perfect Square means and give an example of why it is important.
Summary
In this module, we explored Exponents and Roots. We learned about exponent rule, negative exponent, fractional exponent, radical, perfect square. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
16 Word Problems and Applications
Translate real-world scenarios into mathematical equations and solve.
30m
Word Problems and Applications
Translate real-world scenarios into mathematical equations and solve.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Work Rate
- Define and explain Combined Rate
- Define and explain Mixture Problem
- Define and explain Distance Formula
- Define and explain Weighted Average
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Word problems test your ability to extract mathematical relationships from text.
In this module, we will explore the fascinating world of Word Problems and Applications. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Work Rate
What is Work Rate?
Definition: The fraction of a job completed per unit of time
When experts study work rate, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding work rate helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Work Rate is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Combined Rate
What is Combined Rate?
Definition: The sum of individual rates when working together
The concept of combined rate has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about combined rate, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about combined rate every day.
Key Point: Combined Rate is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Mixture Problem
What is Mixture Problem?
Definition: A problem involving combining quantities with different properties
To fully appreciate mixture problem, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of mixture problem in different contexts around you.
Key Point: Mixture Problem is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Distance Formula
What is Distance Formula?
Definition: Distance = Rate × Time (d = rt)
Understanding distance formula helps us make sense of many processes that affect our daily lives. Experts use their knowledge of distance formula to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Distance Formula is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Weighted Average
What is Weighted Average?
Definition: An average accounting for different weights or quantities
The study of weighted average reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Weighted Average is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: From Words to Math
Common types include: work rate problems (combined rates), mixture problems (weighted averages), age problems, and distance-rate-time problems. Define variables clearly, set up equations methodically, and always check if your answer makes sense in context. Picking smart numbers can simplify complex scenarios.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? The famous "two trains leaving at different times" problem has been on standardized tests since the 1940s!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Work Rate | The fraction of a job completed per unit of time |
| Combined Rate | The sum of individual rates when working together |
| Mixture Problem | A problem involving combining quantities with different properties |
| Distance Formula | Distance = Rate × Time (d = rt) |
| Weighted Average | An average accounting for different weights or quantities |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Work Rate means and give an example of why it is important.
In your own words, explain what Combined Rate means and give an example of why it is important.
In your own words, explain what Mixture Problem means and give an example of why it is important.
In your own words, explain what Distance Formula means and give an example of why it is important.
In your own words, explain what Weighted Average means and give an example of why it is important.
Summary
In this module, we explored Word Problems and Applications. We learned about work rate, combined rate, mixture problem, distance formula, weighted average. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
17 Geometry Foundations
Review essential geometry concepts including lines, angles, and triangles.
30m
Geometry Foundations
Review essential geometry concepts including lines, angles, and triangles.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Supplementary Angles
- Define and explain Pythagorean Theorem
- Define and explain Special Right Triangle
- Define and explain Triangle Inequality
- Define and explain Pythagorean Triple
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Geometry questions test spatial reasoning and formula application.
In this module, we will explore the fascinating world of Geometry Foundations. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Supplementary Angles
What is Supplementary Angles?
Definition: Two angles that sum to 180 degrees
When experts study supplementary angles, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding supplementary angles helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Supplementary Angles is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Pythagorean Theorem
What is Pythagorean Theorem?
Definition: In a right triangle, a² + b² = c² where c is the hypotenuse
The concept of pythagorean theorem has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about pythagorean theorem, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about pythagorean theorem every day.
Key Point: Pythagorean Theorem is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Special Right Triangle
What is Special Right Triangle?
Definition: 30-60-90 or 45-45-90 triangles with fixed side ratios
To fully appreciate special right triangle, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of special right triangle in different contexts around you.
Key Point: Special Right Triangle is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Triangle Inequality
What is Triangle Inequality?
Definition: Any side of a triangle must be less than the sum of the other two
Understanding triangle inequality helps us make sense of many processes that affect our daily lives. Experts use their knowledge of triangle inequality to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Triangle Inequality is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Pythagorean Triple
What is Pythagorean Triple?
Definition: Three integers satisfying a² + b² = c² (like 3-4-5)
The study of pythagorean triple reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Pythagorean Triple is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Lines, Angles, and Triangles
Know angle relationships: supplementary (180°), complementary (90°), vertical (equal). For triangles, interior angles sum to 180°. Special triangles: 30-60-90 (sides 1:√3:2) and 45-45-90 (sides 1:1:√2). The Pythagorean theorem (a² + b² = c²) applies to right triangles. Triangle inequality: any side < sum of other two sides.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? The 3-4-5 right triangle was used by ancient Egyptians to create perfect right angles for pyramids!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Supplementary Angles | Two angles that sum to 180 degrees |
| Pythagorean Theorem | In a right triangle, a² + b² = c² where c is the hypotenuse |
| Special Right Triangle | 30-60-90 or 45-45-90 triangles with fixed side ratios |
| Triangle Inequality | Any side of a triangle must be less than the sum of the other two |
| Pythagorean Triple | Three integers satisfying a² + b² = c² (like 3-4-5) |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Supplementary Angles means and give an example of why it is important.
In your own words, explain what Pythagorean Theorem means and give an example of why it is important.
In your own words, explain what Special Right Triangle means and give an example of why it is important.
In your own words, explain what Triangle Inequality means and give an example of why it is important.
In your own words, explain what Pythagorean Triple means and give an example of why it is important.
Summary
In this module, we explored Geometry Foundations. We learned about supplementary angles, pythagorean theorem, special right triangle, triangle inequality, pythagorean triple. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
18 Circles, Quadrilaterals, and Polygons
Master formulas and properties for circles and multi-sided figures.
30m
Circles, Quadrilaterals, and Polygons
Master formulas and properties for circles and multi-sided figures.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Circumference
- Define and explain Arc Length
- Define and explain Sector
- Define and explain Parallelogram
- Define and explain Interior Angle Sum
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Know the essential formulas for common shapes—they're not provided on the GRE.
In this module, we will explore the fascinating world of Circles, Quadrilaterals, and Polygons. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Circumference
What is Circumference?
Definition: The perimeter of a circle, calculated as 2πr
When experts study circumference, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding circumference helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Circumference is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Arc Length
What is Arc Length?
Definition: A portion of the circumference determined by a central angle
The concept of arc length has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about arc length, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about arc length every day.
Key Point: Arc Length is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Sector
What is Sector?
Definition: A pie-slice region of a circle bounded by two radii and an arc
To fully appreciate sector, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of sector in different contexts around you.
Key Point: Sector is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Parallelogram
What is Parallelogram?
Definition: A quadrilateral with two pairs of parallel sides
Understanding parallelogram helps us make sense of many processes that affect our daily lives. Experts use their knowledge of parallelogram to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Parallelogram is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Interior Angle Sum
What is Interior Angle Sum?
Definition: The total of all interior angles: (n-2)×180° for n-sided polygon
The study of interior angle sum reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Interior Angle Sum is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Beyond Triangles
Circle formulas: Area = πr², Circumference = 2πr. Know arc length and sector area proportions. Quadrilaterals: rectangle area = lw, square area = s², parallelogram area = bh, trapezoid area = ½(b₁+b₂)h. For regular polygons, interior angle = (n-2)×180°/n where n is the number of sides.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? A circle's area can be estimated by squaring the diameter and multiplying by 0.785!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Circumference | The perimeter of a circle, calculated as 2πr |
| Arc Length | A portion of the circumference determined by a central angle |
| Sector | A pie-slice region of a circle bounded by two radii and an arc |
| Parallelogram | A quadrilateral with two pairs of parallel sides |
| Interior Angle Sum | The total of all interior angles: (n-2)×180° for n-sided polygon |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Circumference means and give an example of why it is important.
In your own words, explain what Arc Length means and give an example of why it is important.
In your own words, explain what Sector means and give an example of why it is important.
In your own words, explain what Parallelogram means and give an example of why it is important.
In your own words, explain what Interior Angle Sum means and give an example of why it is important.
Summary
In this module, we explored Circles, Quadrilaterals, and Polygons. We learned about circumference, arc length, sector, parallelogram, interior angle sum. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
19 Data Interpretation
Analyze charts, graphs, and tables to answer quantitative questions.
30m
Data Interpretation
Analyze charts, graphs, and tables to answer quantitative questions.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Bar Graph
- Define and explain Line Graph
- Define and explain Pie Chart
- Define and explain Axis Scale
- Define and explain Data Estimation
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Data interpretation questions test your ability to extract and analyze information from visual data.
In this module, we will explore the fascinating world of Data Interpretation. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Bar Graph
What is Bar Graph?
Definition: A chart using rectangular bars to represent quantities
When experts study bar graph, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding bar graph helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Bar Graph is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Line Graph
What is Line Graph?
Definition: A chart showing data points connected by lines, often for trends
The concept of line graph has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about line graph, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about line graph every day.
Key Point: Line Graph is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Pie Chart
What is Pie Chart?
Definition: A circular chart divided into sectors representing proportions
To fully appreciate pie chart, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of pie chart in different contexts around you.
Key Point: Pie Chart is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Axis Scale
What is Axis Scale?
Definition: The range and intervals shown on a graph's axes
Understanding axis scale helps us make sense of many processes that affect our daily lives. Experts use their knowledge of axis scale to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Axis Scale is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Data Estimation
What is Data Estimation?
Definition: Approximating values when exact reading isn't possible
The study of data estimation reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Data Estimation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Reading Data Displays
GRE data sets include bar graphs, line graphs, pie charts, and tables. Always read titles, axis labels, and legends carefully. Estimate when precision isn't required. For percent questions, identify what the whole represents. Watch for scale changes and misleading visual representations.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? Data interpretation questions often come in sets of 3, all based on the same data display!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Bar Graph | A chart using rectangular bars to represent quantities |
| Line Graph | A chart showing data points connected by lines, often for trends |
| Pie Chart | A circular chart divided into sectors representing proportions |
| Axis Scale | The range and intervals shown on a graph's axes |
| Data Estimation | Approximating values when exact reading isn't possible |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Bar Graph means and give an example of why it is important.
In your own words, explain what Line Graph means and give an example of why it is important.
In your own words, explain what Pie Chart means and give an example of why it is important.
In your own words, explain what Axis Scale means and give an example of why it is important.
In your own words, explain what Data Estimation means and give an example of why it is important.
Summary
In this module, we explored Data Interpretation. We learned about bar graph, line graph, pie chart, axis scale, data estimation. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
20 Statistics and Probability
Apply statistical measures and probability concepts to GRE problems.
30m
Statistics and Probability
Apply statistical measures and probability concepts to GRE problems.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Mean
- Define and explain Median
- Define and explain Standard Deviation
- Define and explain Probability
- Define and explain Combination
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Statistics and probability appear throughout GRE Quant, from basic to complex.
In this module, we will explore the fascinating world of Statistics and Probability. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Mean
What is Mean?
Definition: The average of a set of numbers (sum divided by count)
When experts study mean, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding mean helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Mean is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Median
What is Median?
Definition: The middle value when data is arranged in order
The concept of median has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about median, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about median every day.
Key Point: Median is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Standard Deviation
What is Standard Deviation?
Definition: A measure of how spread out values are from the mean
To fully appreciate standard deviation, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of standard deviation in different contexts around you.
Key Point: Standard Deviation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Probability
What is Probability?
Definition: The likelihood of an event, from 0 (impossible) to 1 (certain)
Understanding probability helps us make sense of many processes that affect our daily lives. Experts use their knowledge of probability to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Probability is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Combination
What is Combination?
Definition: A selection where order does not matter
The study of combination reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Combination is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Statistical Reasoning
Master mean, median, mode, and range. Understand standard deviation conceptually (spread from mean). For probability: P(event) = favorable outcomes / total outcomes. Know P(A and B), P(A or B), and complementary probability. Combinations and permutations: order matters for permutations, not for combinations.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? The birthday paradox: in a group of 23 people, there's a 50% chance two share a birthday!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Mean | The average of a set of numbers (sum divided by count) |
| Median | The middle value when data is arranged in order |
| Standard Deviation | A measure of how spread out values are from the mean |
| Probability | The likelihood of an event, from 0 (impossible) to 1 (certain) |
| Combination | A selection where order does not matter |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Mean means and give an example of why it is important.
In your own words, explain what Median means and give an example of why it is important.
In your own words, explain what Standard Deviation means and give an example of why it is important.
In your own words, explain what Probability means and give an example of why it is important.
In your own words, explain what Combination means and give an example of why it is important.
Summary
In this module, we explored Statistics and Probability. We learned about mean, median, standard deviation, probability, combination. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
21 Quantitative Comparison Strategies
Master the unique format of Quantitative Comparison questions.
30m
Quantitative Comparison Strategies
Master the unique format of Quantitative Comparison questions.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Quantitative Comparison
- Define and explain Cannot Be Determined
- Define and explain Extreme Values
- Define and explain Common Simplification
- Define and explain Constraint Analysis
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Quantitative Comparison is a question type unique to the GRE.
In this module, we will explore the fascinating world of Quantitative Comparison Strategies. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Quantitative Comparison
What is Quantitative Comparison?
Definition: A question type comparing two quantities with four possible relationships
When experts study quantitative comparison, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding quantitative comparison helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Quantitative Comparison is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Cannot Be Determined
What is Cannot Be Determined?
Definition: The answer when the relationship varies depending on values used
The concept of cannot be determined has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about cannot be determined, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about cannot be determined every day.
Key Point: Cannot Be Determined is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Extreme Values
What is Extreme Values?
Definition: Testing 0, 1, -1, fractions, and large numbers to find patterns
To fully appreciate extreme values, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of extreme values in different contexts around you.
Key Point: Extreme Values is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Common Simplification
What is Common Simplification?
Definition: Performing identical operations on both quantities
Understanding common simplification helps us make sense of many processes that affect our daily lives. Experts use their knowledge of common simplification to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Common Simplification is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Constraint Analysis
What is Constraint Analysis?
Definition: Using given conditions to limit the possible values
The study of constraint analysis reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Constraint Analysis is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: QC Techniques
QC questions present Quantity A and Quantity B with four answer choices: A>B, B>A, A=B, or cannot be determined. Key strategies: simplify both sides identically, plug in extreme values (0, 1, negatives, fractions), and look for patterns. "Cannot be determined" is only correct when different valid values give different relationships.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? QC questions are designed to be solved faster than Problem Solving—aim for 1-2 minutes each!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Quantitative Comparison | A question type comparing two quantities with four possible relationships |
| Cannot Be Determined | The answer when the relationship varies depending on values used |
| Extreme Values | Testing 0, 1, -1, fractions, and large numbers to find patterns |
| Common Simplification | Performing identical operations on both quantities |
| Constraint Analysis | Using given conditions to limit the possible values |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Quantitative Comparison means and give an example of why it is important.
In your own words, explain what Cannot Be Determined means and give an example of why it is important.
In your own words, explain what Extreme Values means and give an example of why it is important.
In your own words, explain what Common Simplification means and give an example of why it is important.
In your own words, explain what Constraint Analysis means and give an example of why it is important.
Summary
In this module, we explored Quantitative Comparison Strategies. We learned about quantitative comparison, cannot be determined, extreme values, common simplification, constraint analysis. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
22 Time Management and Test Strategy
Develop pacing strategies and test-taking techniques for optimal performance.
30m
Time Management and Test Strategy
Develop pacing strategies and test-taking techniques for optimal performance.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Section Adaptation
- Define and explain Mark and Review
- Define and explain Time Per Question
- Define and explain On-Screen Calculator
- Define and explain Strategic Skipping
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Strategic time management can significantly impact your GRE score.
In this module, we will explore the fascinating world of Time Management and Test Strategy. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Section Adaptation
What is Section Adaptation?
Definition: How the GRE adjusts difficulty based on first-section performance
When experts study section adaptation, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding section adaptation helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Section Adaptation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Mark and Review
What is Mark and Review?
Definition: GRE feature allowing you to flag questions for later review
The concept of mark and review has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about mark and review, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about mark and review every day.
Key Point: Mark and Review is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Time Per Question
What is Time Per Question?
Definition: Average time allocation for optimal pacing
To fully appreciate time per question, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of time per question in different contexts around you.
Key Point: Time Per Question is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
On-Screen Calculator
What is On-Screen Calculator?
Definition: The basic calculator provided during Quant sections
Understanding on-screen calculator helps us make sense of many processes that affect our daily lives. Experts use their knowledge of on-screen calculator to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: On-Screen Calculator is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Strategic Skipping
What is Strategic Skipping?
Definition: Temporarily passing difficult questions to attempt easier ones first
The study of strategic skipping reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Strategic Skipping is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Maximizing Your Score
Verbal: ~1.5 minutes per question. Quant: ~1.75 minutes per question. Use the mark and review feature strategically—skip time-consuming questions initially. For section adaptation, a strong first section is crucial. Use scratch paper effectively and practice with the on-screen calculator to save time.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? The GRE gives you a 10-minute break after the third section—use it to refresh!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Section Adaptation | How the GRE adjusts difficulty based on first-section performance |
| Mark and Review | GRE feature allowing you to flag questions for later review |
| Time Per Question | Average time allocation for optimal pacing |
| On-Screen Calculator | The basic calculator provided during Quant sections |
| Strategic Skipping | Temporarily passing difficult questions to attempt easier ones first |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Section Adaptation means and give an example of why it is important.
In your own words, explain what Mark and Review means and give an example of why it is important.
In your own words, explain what Time Per Question means and give an example of why it is important.
In your own words, explain what On-Screen Calculator means and give an example of why it is important.
In your own words, explain what Strategic Skipping means and give an example of why it is important.
Summary
In this module, we explored Time Management and Test Strategy. We learned about section adaptation, mark and review, time per question, on-screen calculator, strategic skipping. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
23 Practice Test Analysis
Learn to analyze practice tests for targeted improvement.
30m
Practice Test Analysis
Learn to analyze practice tests for targeted improvement.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Error Log
- Define and explain Content Gap
- Define and explain Careless Error
- Define and explain PowerPrep
- Define and explain Score Simulation
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Effective practice test analysis is key to score improvement.
In this module, we will explore the fascinating world of Practice Test Analysis. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Error Log
What is Error Log?
Definition: A systematic record of mistakes and their causes
When experts study error log, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding error log helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Error Log is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Content Gap
What is Content Gap?
Definition: A topic or skill area needing additional study
The concept of content gap has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about content gap, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about content gap every day.
Key Point: Content Gap is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Careless Error
What is Careless Error?
Definition: A mistake made despite knowing the correct approach
To fully appreciate careless error, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of careless error in different contexts around you.
Key Point: Careless Error is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
PowerPrep
What is PowerPrep?
Definition: Free official GRE practice tests from ETS
Understanding powerprep helps us make sense of many processes that affect our daily lives. Experts use their knowledge of powerprep to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: PowerPrep is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Score Simulation
What is Score Simulation?
Definition: Practice tests that estimate your actual GRE score
The study of score simulation reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Score Simulation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Learning from Practice
After each practice test, categorize every wrong answer: content gap, careless error, or time pressure. Track patterns across tests. For content gaps, study the underlying concept. For careless errors, develop checking habits. For time issues, practice pacing. Use official ETS materials—they're closest to real test difficulty.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? ETS offers two free PowerPrep practice tests that use retired questions from real GREs!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Error Log | A systematic record of mistakes and their causes |
| Content Gap | A topic or skill area needing additional study |
| Careless Error | A mistake made despite knowing the correct approach |
| PowerPrep | Free official GRE practice tests from ETS |
| Score Simulation | Practice tests that estimate your actual GRE score |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Error Log means and give an example of why it is important.
In your own words, explain what Content Gap means and give an example of why it is important.
In your own words, explain what Careless Error means and give an example of why it is important.
In your own words, explain what PowerPrep means and give an example of why it is important.
In your own words, explain what Score Simulation means and give an example of why it is important.
Summary
In this module, we explored Practice Test Analysis. We learned about error log, content gap, careless error, powerprep, score simulation. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
24 Building Your Study Plan
Create a personalized, effective study schedule for GRE preparation.
30m
Building Your Study Plan
Create a personalized, effective study schedule for GRE preparation.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Diagnostic Test
- Define and explain Study Schedule
- Define and explain Spaced Practice
- Define and explain Content Review
- Define and explain Test Simulation
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
A well-structured study plan maximizes your preparation efficiency.
In this module, we will explore the fascinating world of Building Your Study Plan. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Diagnostic Test
What is Diagnostic Test?
Definition: An initial test to identify strengths and weaknesses
When experts study diagnostic test, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding diagnostic test helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Diagnostic Test is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Study Schedule
What is Study Schedule?
Definition: A structured plan allocating time to different topics
The concept of study schedule has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about study schedule, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about study schedule every day.
Key Point: Study Schedule is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Spaced Practice
What is Spaced Practice?
Definition: Distributing study over time rather than cramming
To fully appreciate spaced practice, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of spaced practice in different contexts around you.
Key Point: Spaced Practice is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Content Review
What is Content Review?
Definition: Studying concepts, formulas, and strategies
Understanding content review helps us make sense of many processes that affect our daily lives. Experts use their knowledge of content review to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: Content Review is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Test Simulation
What is Test Simulation?
Definition: Taking practice tests under realistic conditions
The study of test simulation reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Test Simulation is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Planning Your Prep
Start with a diagnostic test to identify weaknesses. Allocate 2-4 months for comprehensive prep. Balance content review, practice problems, and full tests. Schedule regular practice tests (every 2-3 weeks). Front-load your weaker areas. The final two weeks should focus on review and test simulation.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? Research shows that spaced practice over 3 months beats cramming for the same total hours!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Diagnostic Test | An initial test to identify strengths and weaknesses |
| Study Schedule | A structured plan allocating time to different topics |
| Spaced Practice | Distributing study over time rather than cramming |
| Content Review | Studying concepts, formulas, and strategies |
| Test Simulation | Taking practice tests under realistic conditions |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Diagnostic Test means and give an example of why it is important.
In your own words, explain what Study Schedule means and give an example of why it is important.
In your own words, explain what Spaced Practice means and give an example of why it is important.
In your own words, explain what Content Review means and give an example of why it is important.
In your own words, explain what Test Simulation means and give an example of why it is important.
Summary
In this module, we explored Building Your Study Plan. We learned about diagnostic test, study schedule, spaced practice, content review, test simulation. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
25 Test Day and Beyond
Prepare for test day logistics and understand score reporting.
30m
Test Day and Beyond
Prepare for test day logistics and understand score reporting.
Learning Objectives
By the end of this module, you will be able to:
- Define and explain Test Center
- Define and explain Unofficial Score
- Define and explain Official Score Report
- Define and explain ScoreSelect
- Define and explain Score Validity
- Apply these concepts to real-world examples and scenarios
- Analyze and compare the key concepts presented in this module
Introduction
Proper test day preparation ensures you perform at your best.
In this module, we will explore the fascinating world of Test Day and Beyond. You will discover key concepts that form the foundation of this subject. Each concept builds on the previous one, so pay close attention and take notes as you go. By the end, you'll have a solid understanding of this important topic.
This topic is essential for understanding how the subject works and how experts organize their knowledge. Let's dive in and discover what makes this subject so important!
Test Center
What is Test Center?
Definition: The physical location where you take the computer-based GRE
When experts study test center, they discover fascinating details about how systems work. This concept connects to many aspects of the subject that researchers investigate every day. Understanding test center helps us see the bigger picture. Think about everyday examples to deepen your understanding — you might be surprised how often you encounter this concept in the world around you.
Key Point: Test Center is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Unofficial Score
What is Unofficial Score?
Definition: Preliminary Verbal and Quant scores shown immediately after testing
The concept of unofficial score has been studied for many decades, leading to groundbreaking discoveries. Research in this area continues to advance our understanding at every scale. By learning about unofficial score, you are building a strong foundation that will support your studies in more advanced topics. Experts around the world work to uncover new insights about unofficial score every day.
Key Point: Unofficial Score is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Official Score Report
What is Official Score Report?
Definition: The complete score report including AWA, sent after 10-15 days
To fully appreciate official score report, it helps to consider how it works in real-world applications. This universal nature is what makes it such a fundamental concept in this field. As you learn more, try to identify examples of official score report in different contexts around you.
Key Point: Official Score Report is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
ScoreSelect
What is ScoreSelect?
Definition: Option to choose which test date scores to send to schools
Understanding scoreselect helps us make sense of many processes that affect our daily lives. Experts use their knowledge of scoreselect to solve problems, develop new solutions, and improve outcomes. This concept has practical applications that go far beyond the classroom.
Key Point: ScoreSelect is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
Score Validity
What is Score Validity?
Definition: How long scores remain acceptable (5 years for GRE)
The study of score validity reveals the elegant complexity of how things work. Each new discovery opens doors to understanding other aspects and how knowledge in this field has evolved over time. As you explore this concept, try to connect it with what you already know — you'll find that everything is interconnected in beautiful and surprising ways.
Key Point: Score Validity is a fundamental concept that you will encounter throughout your studies. Make sure you can explain it in your own words!
🔬 Deep Dive: Test Day Success
The night before: review notes briefly, pack your ID and confirmation, and sleep well. Test day: eat a balanced meal, arrive early, and stay calm. At the test center: use your break wisely, stay focused. After: you'll see unofficial Verbal and Quant scores immediately. Official scores with AWA arrive in 10-15 days. Use ScoreSelect to send only your best scores.
This is an advanced topic that goes beyond the core material, but understanding it will give you a deeper appreciation of the subject. Researchers continue to study this area, and new discoveries are being made all the time.
Did You Know? GRE scores are valid for 5 years, giving you flexibility in your application timeline!
Key Concepts at a Glance
| Concept | Definition |
|---|---|
| Test Center | The physical location where you take the computer-based GRE |
| Unofficial Score | Preliminary Verbal and Quant scores shown immediately after testing |
| Official Score Report | The complete score report including AWA, sent after 10-15 days |
| ScoreSelect | Option to choose which test date scores to send to schools |
| Score Validity | How long scores remain acceptable (5 years for GRE) |
Comprehension Questions
Test your understanding by answering these questions:
In your own words, explain what Test Center means and give an example of why it is important.
In your own words, explain what Unofficial Score means and give an example of why it is important.
In your own words, explain what Official Score Report means and give an example of why it is important.
In your own words, explain what ScoreSelect means and give an example of why it is important.
In your own words, explain what Score Validity means and give an example of why it is important.
Summary
In this module, we explored Test Day and Beyond. We learned about test center, unofficial score, official score report, scoreselect, score validity. Each of these concepts plays a crucial role in understanding the broader topic. Remember that these ideas are building blocks — each module connects to the next, helping you build a complete picture. Keep reviewing these concepts and you'll be well prepared for what comes next!
Ready to master GRE Complete Prep?
Get personalized AI tutoring with flashcards, quizzes, and interactive exercises in the Eludo app