Podcast
Questions and Answers
What is 25% of 120?
What is 25% of 120?
What is the square of 7?
What is the square of 7?
What percent of 80 is 16?
What percent of 80 is 16?
If a number is multiplied by itself and results in 121, what is the original number?
If a number is multiplied by itself and results in 121, what is the original number?
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What is 0.2 expressed as a percentage?
What is 0.2 expressed as a percentage?
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Which of the following numbers is divisible by both 4 and 5?
Which of the following numbers is divisible by both 4 and 5?
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What is the result of the operation $-4 - (-10)$?
What is the result of the operation $-4 - (-10)$?
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Which of the following statements about integers is TRUE?
Which of the following statements about integers is TRUE?
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If the digits of the number 234 are summed, what is the sum tested for divisibility by 9?
If the digits of the number 234 are summed, what is the sum tested for divisibility by 9?
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Which of the following sums results in a negative number?
Which of the following sums results in a negative number?
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Which of the following numbers is NOT a prime number?
Which of the following numbers is NOT a prime number?
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If $X = -8$ and $Y = 3$, what is $Y - X$?
If $X = -8$ and $Y = 3$, what is $Y - X$?
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What is the prime factorization of 30?
What is the prime factorization of 30?
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If xy = 20 and both x and y are positive integers, which of the following pairs could represent (x, y)?
If xy = 20 and both x and y are positive integers, which of the following pairs could represent (x, y)?
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Which of the following is NOT a prime number?
Which of the following is NOT a prime number?
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Wendy missed 12 questions out of 80 on an exam. What percent of the questions did she miss?
Wendy missed 12 questions out of 80 on an exam. What percent of the questions did she miss?
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How is the expression '5 is 30% of 25' written mathematically?
How is the expression '5 is 30% of 25' written mathematically?
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What would be the result of converting the fraction 3/4 into a percent?
What would be the result of converting the fraction 3/4 into a percent?
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Which statement correctly describes the relationship between prime factorization and integer properties?
Which statement correctly describes the relationship between prime factorization and integer properties?
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What is the sum of the first 5 prime numbers?
What is the sum of the first 5 prime numbers?
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Study Notes
SAT Test Study Guide
- The SAT is an aptitude test measuring intellectual abilities in math and English.
- The test aims to assess a student's potential for college success, not their existing knowledge.
- Three hours is the total duration, but only two and a half hours count towards the score.
- An experimental section is also included, but not counted in the final score.
- The SAT score is a significant factor in college admissions.
Math
- Math skills in addition, subtraction, multiplication, and division are tested.
- A calculator is allowed, thus questions are not solely arithmetic.
- Knowing the order of operations is crucial.
- The test focuses on critical math skills requiring quick, strategic, and accurate thinking.
Mathematical Reasoning
- Questions gradually increase in difficulty within each section.
- Questions use word problems, algebraic manipulations, and geometry concepts.
Hand-calculated responses (with Grid-ins)
- Answers are entered directly onto a grid rather than multiple choice.
- Both decimals and fractions are acceptable.
- Mixed numbers are not acceptable—use decimal or fraction.
- Negative answers are not permitted.
Question Types
- The SAT tests various math question types like arithmetic, divisibility, multiplication, addition, subtraction, even/odd numbers, prime numbers, percents, squares/exponents/roots, and averages.
Arithmetic
- The questions can be solved using addition, subtraction, multiplication, or division.
Divisibility
- Factors of integers are integers that divide without a remainder.
- Rules for divisibility by 2, 3, 4, 5, 9, and 10 are provided.
Multiplication
- Positive x Positive = Positive
- Negative x Negative = Positive
- Negative x Positive = Negative
Addition
- Positive + Positive = Positive
- Negative + Negative = Negative
- Negative + Positive = Sign of the larger absolute value is kept after subtraction (absolute value from the larger one )
Subtraction
- A - B = A + (-B)
Evens and Odds
- Even numbers are divisible by 2.
- Odd numbers are not divisible by 2.
Prime Numbers
- Prime numbers are greater than 1 and only have two factors: 1 and themselves.
- Techniques for prime factorization are outlined.
Percentages
- Percent means hundredths.
- Converting a number into a percentage involves multiplying by 100.
Square of a Number
- Squaring a number means multiplying the same number by itself
Exponents
- Mathematical notation representing repeated multiplication of a number (base) by itself.
Roots
- Square roots (√ and cube roots (∛ are tested extensively.
Averages
- The average (mean) is calculated by summing up all numbers and then dividing by the total count.
Critical Reading
- The critical reading section tests a test taker's ability to understand, analyze, and evaluate written passages.
- Passage topics are diverse and from various sources.
- Questions assess a test taker's comprehension of the passages and the ability to draw conclusions.
Flying Over the Passage
- The recommended strategy is "flyover"—quickly read the passage to understand the main idea.
Creating a Tentative Summary
- After a flyover, take a few seconds to create a mental summary of the read passage.
Openings and Endings
- Focus on opening and closing sentences of each paragraph for main ideas.
Extraneous Information
- Watch out for answer choices that seem right but are not supported by the passage.
Using Kitchen Logic
- When faced with a question about the passage's main idea or topic, imagine you have to explain the passage to someone.
Getting into the Author's Mind
- Try to understand the passage from the author's perspective.
- Identify attitude words to understand the author's emotional tone.
Emotional Words
- Identify words in the passage that convey the author's emotions.
Finding the Key Words
- Key words within the questions or answer choices are used to quickly identify necessary information within the passage.
Making Proper Inferences
- Make logical conclusions based on the passage with your own analysis, not by direct statements in the passage.
Applying Ideas for Generalizations
- Answer generalization questions by using your own insight with context.
Using Context Clues
- Use the words surrounding a difficult word or phrase to infer its meaning.
Breaking Down Passage Organization:
- Identify the organization method by understanding how the opening section relates to the rest of the passage.
First Word Analysis
- Use first words of answer options to decide if those words match a probable primary purpose or a possible inference.
Understanding the Intimidation
- Passages used for the test will be unfamiliar and from various sources (books, journals, etc.).
Finding Your Optimal Pace
- Develop a comfortable reading speed that balances comprehension with appropriate time management.
Don't be a Perfectionist
- Avoid getting overly absorbed in individual questions, as time is a critical factor.
- Be prepared to guess when necessary.
Factually Correct, but Actually Wrong
- Avoid answer choices that appear factually correct but do not answer the question accurately.
Different Viewpoints
- Passages may contain viewpoints from different experts or individuals.
- Identify who is expressing each viewpoint.
Sentence Completions
- These questions provide partially completed sentences, and demand completion with the correct word or phrase.
- Careful reading and trying different options are vital to selecting the best answer.
Multiple Blanks
- The more information a sentence/passage provides, the more effectively you can assess available choices.
Writing an Essay
- The essay section assesses the ability to communicate effectively while following a structure.
- Main ideas should be clearly outlined with good reasoning and examples to support the case.
- The planning stage (4 minutes) involves defining the topic, good points, suitable examples, and essay flow.
Planning Stage
- Outline the topic and define the best angle to approach the topic with.
- Jot down supporting evidence and examples.
- Decide what order to present your supporting ideas.
Sticking to the Plan
- Follow the plan during the writing phase (17 minutes).
- Write a well-developed and concise essay.
Reviewing the Plan
- Review and make necessary changes and editations for improvement in clarity to the essay.
- Ensure a logical flow in all parts of the essay.
Brainstorming Smart
- Brainstorm about the topic first, then brainstorm about the points backing the topic.
Making the Cuts
- Select only the best and most applicable points and examples from brainstorm notes
Ending at the Start
- When writing an essay, create body paragraphs first, then construct the introduction.
Staying Consistent
- Maintain a consistent idea flow between the introduction, body, and conclusion.
- Support claims using evidence and examples.
Maintaining the Flow
- Use transitional words to improve the flow of the essay (First, Second, Lastly, etc.)
Backing up Your Points
- Each point/statement should be supported with appropriate examples from the writer's own experience or observations.
Using Proper Grammar
- Review usage and grammar as necessary for better essay structure.
Watching Your Vocabulary
- Use a cautious approach when choosing vocabulary.
Avoiding Tunnel Vision
- Explore different angles and perspectives regarding the topic in the essay.
- Avoid focusing on one main idea throughout the essay to improve the quality of the essay.
Just Do It
- Don't overthink your introduction - start directly expressing the main idea of your chosen topic
Conclusion Is Review
- The conclusion serves as a concise summary, revisiting main points and effectively finalizing your argument.
Communicating Reason, not Passion
- Emphasize logical and well-supported arguments, using examples rather than simply expressing personal feeling.
Answering the Why?
- Ensure all provided examples and reasoning directly address the question posed in the essay prompt.
Studying That Suits You
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Description
Test your knowledge with this short quiz on basic math concepts. Questions include finding percentages, squares, and more. Perfect for beginners or anyone looking to brush up on their math skills.
