Percentage Increase-Decrease Crack the Safe. Report a problem. Categories & Grades. Math / Number / Fractions, decimals, percentage, equivalence; 5th; 6th; 7th; 8th; 9th; View more. Tes Classic Free License. How can I re-use this? Other resources by this author. Welcome to The Mixed Percent Problems with Whole Number Amounts and All Percents (A) Math Worksheet from the Percents Worksheets Page at Math-Drills.com. This Percents Worksheet may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math. Maths worksheets percentage increase and decrease generated on lbartman.com show printable version!!! Hide the show to save images bellow, right click on shown image then save as.png.
GRE math questions cover a wide range of topics including arithmetic, algebra, geometry, and data interpretation. With so many areas to study, practice is the key to mastering the GRE math section.
Don’t worry—Magoosh is here to help! The GRE math practice questions in this post will help you identify which areas you need to work on and how well you’re prepared for the exam. Keep going for an in-depth look at 15 easy, medium, and hard GRE quantitative practice questions with answers and explanations.
GRE Math Practice Questions: What to Expect
For each of the five question types you’ll see in the GRE Quant section, we’ve included easy, medium, and hard questions for you to try. For every question in our product, Magoosh tracks how students perform on it so we can make sure each question is perfectly calibrated to mirror the real GRE!
Here’s how we categorize them:
- Magoosh students (who are already determined to do well and have usually put in some study time!) answer “easy” questions correctly about 70% of the time.
They answer “medium” questions right about 60% of the time, and “hard” questions right about 50% of the time.
Use the table below to jump to each practice question. If you’re returning to this post, skip to the answers and important takeaways.
Question Type | Easy | Medium | Hard |
---|---|---|---|
Quantitative Comparison | Question 1 | Question 2 | Question 3 |
Multiple-Choice | Question 4 | Question 5 | Question 6 |
Numeric Entry | Question 7 | Question 8 | Question 9 |
Multiple-Answer | Question 10 | Question 11 | Question 12 |
Data Interpretation | Question 13 | Question 14 | Question 15 |
To study on the go, download the PDF version of these GRE Math practice questions and explanations!
GRE Quantitative Comparison Questions
Quantitative Comparison questions (also referred to as Quantitative Reasoning questions) don’t ask you to solve problems. Instead, they ask you to compare two quantities. On the official GRE, these could be equations, variables, angle measurements, or other quantities. Then, you choose the answer that best describes how they are related.
We’ve provided clickable radio buttons for you to select your answer as you go through these GRE math practice questions. This way, you can keep track of your answers and check your work at the end. However, please note that there’s no option to submit them!
Question 1
Difficulty: Easy
The revenue generated by Company X is divided between Doug and Moira in a 6 to 5 ratio respectively.
Column A | Column B |
---|---|
Moira’s share when the revenue generated by Company X is $15,700 | $7,900 |
The quantity in Column A is greater
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
Question 2
Difficulty: Medium
Column A | Column B |
---|---|
Length of arc ABC | 6 |
The quantity in Column A is greater
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
Question 3
Difficulty: Hard
- The greatest prime factor of 144 is x
- The greatest prime factor of 96 is y
Column A | Column B |
---|---|
x | y |
The quantity in Column A is greater
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
GRE Multiple-Choice Questions
For GRE multiple-choice questions, solve the problem on-screen and select the answer (one of five) that best answers it.
We’ve provided clickable radio buttons for you to select your answer as you go through these GRE math practice questions. This way, you can keep track of your answers and check your work at the end. However, please note that there’s no option to submit them!
Question 4
Difficulty: Easy
The price of a pair of sneakers was $80 for the last six months of last year. On January first, the price increased 20%. After the price increase, an employee bought these sneakers with a 10% employee discount. What price did the employee pay?
$70.40
$82.00
$83.33
$86.40
$88.00
$82.00
$83.33
$86.40
$88.00
Question 5
Difficulty: Medium
If 6k2 + k = 2 and k > 0, then k must equal which of the following?
1
2
3
1
2
3
Question 6
Difficulty: Hard
In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?
20
40
216
720
729
20
40
216
720
729
GRE Numeric Entry Questions
On GRE Numeric Entry questions, you solve a given problem by typing your answer into a box provided on-screen.
We’ve provided text boxes for you to type your answer as you go through these GRE math practice questions. This way, you can keep track of your answers and check your work at the end. However, please note that there’s no option to submit them!
Question 7
Difficulty: Easy
Dharik lives in a house on a straight street. For years, there have been 16 houses on his street to the right of his house and 17 houses on his street to the left of his house. Last year, 5 new houses were built on the same street even further to the left of those houses to the left of Dharik’s house. If these are the only houses on this street, how many houses are on this street?
Check the answer here!
Question 8
Difficulty: Medium
If what is the value of n?
Check the answer here!
Question 9
Difficulty: Hard
In the diagram, point D is the center of the medium-sized circle that passes through C and E, and it is also the center of the largest circle that passes through A and G. Each of the diameters of the small circles with centers B and F equals the radius of the medium-sized circle with center D. The shaded area is what fraction of the largest circle?
Check the answer here!
GRE Multiple-Answer Questions
If you encounter a question on GRE quantitative that appears to be multiple choice but does not specify that there is only one correct answer, you have found a multiple-answer question! Select all correct answer choices for this question type.
We’ve provided check boxes for you to mark your answer(s) as you go through these GRE math practice questions. This way, you can keep track of your answers and check your work at the end. However, please note that there’s no option to submit them!
Question 10
Difficulty: Easy
In a population of chickens, the average (arithmetic mean) weight is 6.3 pounds, and the standard deviation is 1.2 pounds. Which of the following weights (in pounds) are within 1.5 units of standard deviation of the mean?
Indicate all weights.
4.4
4.6
5.1
5.2
6.9
7.6
7.7
8.2
4.4
4.6
5.1
5.2
6.9
7.6
7.7
8.2
Question 11
Difficulty: Medium
If x > 0 which of the following expressions are equal to 3.6% of ?
Indicate all such expressions.
3 percent of 20x
x percent of
3x percent of 0.2
0.05 percent of 3x
3 percent of 20x
x percent of
3x percent of 0.2
0.05 percent of 3x
Question 12
Difficulty: Hard
A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible?
9! + 10!
2 × 10!
9! × 10!
19!
20!
2 × 10!
9! × 10!
19!
20!
GRE Data Interpretation Questions
GRE Data Interpretation questions are similar to multiple choice questions, with a twist: they ask you to look at graphics (primarily charts, graphs, and tables) and solve questions based on those.
We’ve provided clickable radio buttons for you to select your answer as you go through these GRE math practice questions. This way, you can keep track of your answers and check your work at the end. However, please note that there’s no option to submit them!
Question 13
Difficulty: Easy
Animal | Percent |
---|---|
Lions | 32% |
Leopards | 16% |
Ocelots | 20% |
Tigers | 8% |
Bobcats | 24% |
If there are 44 leopards at the zoo, what is the zoo’s total animal population?
225
275
325
350
375
275
325
350
375
Question 14
Difficulty: Medium
In the diagram above, each of fifteen private colleges is represented by a dot and an X on a vertical line. The X indicates the college’s annual income from tuition in 2008. The dot, above or below on the same dashed vertical line, indicates the college’s annual income in 2008 from investments such as endowments. The base of the vertical dashed line indicates the number of students at that college in 2008.
For how many colleges shown is the investment income in 2008 more than double the same college’s tuition income in 2008?
none
one
two
three
four
one
two
three
four
Percentage Problems In Math
Question 15
Difficulty: Hard
The following chart shows the population of Jenkinsville and the number of televisions in the town through the middle of part of the 20th century.
The ratio of people to televisions in Jenkinsville decreased by approximately what percent from 1955 to 1960?
Give your answer to the nearest integer percent and do not enter the percent sign.
GRE Math Practice Questions: Answers
GRE Quantitative Comparison Explanations
Question 1
Difficulty: Easy
Answer: The quantity in Column B is greater
Watch the video explanation here! Or, go back up to Question 1.
Answer: The quantity in Column B is greater
Watch the video explanation here! Or, go back up to Question 1.
Question 2
Difficulty: Medium
Answer: The quantity in Column A is greater
Watch the video explanation here! Or, go back up to Question 2.
Answer: The quantity in Column A is greater
Watch the video explanation here! Or, go back up to Question 2.
Question 3
Difficulty: Hard
Answer: The two quantities are equal
Watch the video explanation here! Or, go back up to Question 3.
Answer: The two quantities are equal
Watch the video explanation here! Or, go back up to Question 3.
GRE Multiple-Choice Explanations
Question 4
Difficulty: Easy
Answer: $86.40
Watch the video explanation here! Or, go back up to Question 4.
Answer: $86.40
Watch the video explanation here! Or, go back up to Question 4.
Question 5
Difficulty: Medium
Answer: 1/2
Watch the video explanation here! Or, go back up to Question 5.
Answer: 1/2
Watch the video explanation here! Or, go back up to Question 5.
Question 6
Difficulty: Hard
Answer: 20
Watch the video explanation here! Or, go back up to Question 6.
Answer: 20
Watch the video explanation here! Or, go back up to Question 6.
GRE Numeric Entry Explanations
Question 7
Difficulty: Easy
Answer: 39
Watch the video explanation here! Or, go back up to Question 7.
Answer: 39
Watch the video explanation here! Or, go back up to Question 7.
Question 8
Difficulty: Medium
Answer: 1
Watch the video explanation here! Or, go back up to Question 8.
Answer: 1
Watch the video explanation here! Or, go back up to Question 8.
Question 9
Difficulty: Hard
Answer: 5/8
Watch the video explanation here! Or, go back up to Question 9.
Answer: 5/8
Watch the video explanation here! Or, go back up to Question 9.
GRE Multiple-Answer Explanations
Question 10
Difficulty: Easy
Answers: 4.6, 5.1, 5.2, 6.9, 7.6, 7.7
Watch the video explanation here! Or, go back up to Question 10.
Answers: 4.6, 5.1, 5.2, 6.9, 7.6, 7.7
Watch the video explanation here! Or, go back up to Question 10.
Question 11
Difficulty: Medium
Answers: x percent of 3/2; 3x/200
Answers: x percent of 3/2; 3x/200
Watch the video explanation here! Or, go back up to Question 11.
Question 12
Difficulty: Hard
Answer: 2 × 10!
Watch the video explanation here! Or, go back up to Question 12.
Answer: 2 × 10!
Watch the video explanation here! Or, go back up to Question 12.
GRE Data Interpretation Explanations
Question 13
Difficulty: Easy
Answer: 275
Watch the video explanation here! Or, go back up to Question 13.
Answer: 275
Watch the video explanation here! Or, go back up to Question 13.
Question 14
Difficulty: Medium
Answer: one
Watch the video explanation here! Or, go back up to Question 14.
Answer: one
Watch the video explanation here! Or, go back up to Question 14.
Question 15
Difficulty: Hard
Answer: 33
Watch the video explanation here! Or, go back up to Question 15.
Answer: 33
Watch the video explanation here! Or, go back up to Question 15.
GRE Math Practice Questions: An Important Takeaway
How did your mini-GRE math practice test go? If you missed some (or even all) of the GRE math sample questions, don’t despair! You can still get the GRE score you want—and get into the graduate schools of your choice. With one big caveat…
When practicing GRE math problems, the key is to figure out why you answered questions incorrectly. Are you having trouble with Data Interpretation content? Or is Numeric Entry an issue for you? For a lot of students, it’s Quantitative Comparisons that prove tricky.
At first, this process can be frustrating. But remember, by forcing yourself to figure out the answer instead of immediately turning to an explanation during your GRE math practice, you will understand the problem at a deeper level and be less likely to miss a similar problem in the future. GRE math practice questions can help you get there. This is the best (and really the only) way to improve your score on the GRE. With enough GRE quantitative practice, you’ll get the score you want!
Special thank you to our contributor, Rachel Kapelke-Dale, for helping with this post!
Editor’s Note: This post was originally published in 2012 and has been updated for freshness, accuracy, and comprehensiveness.
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By Jacob Sullum
Growing familiarity with marijuana has been accompanied by growing support for legalization because people discovered through personal experience that the government was lying to them about the drug’s hazards. But it is easier to demonize less popular drugs such as crack cocaine and methamphetamine, which in the public mind are still linked, as marijuana once was, with addiction, madness, and violence. Any attempt to question the use of force in dealing with these drugs therefore must begin by separating reality from horror stories.
That is where Carl Hart comes in. Hart, a neuropsychopharmacologist at Columbia who grew up in one of Miami’s rougher neighborhoods, has done bold, path-breaking research that challenges widely accepted beliefs about crack and meth. In his inspiring and fascinating new memoir High Price, he describes both how he overcame his early disadvantages to secure a tenured position at an Ivy League university and how he came to question everything he thought he knew about drugs as he learned to think critically about the issue.
Before he became a scientist, Hart believed that people who use crack generally get hooked on it and thereby lose control of their behavior. But when he looked at the data on patterns of drug use as an academic, he could plainly see that only a small minority of people who try crack become heavy users. “Even at the peak [of] widespread use,” he writes, “only 10–20 percent of crack cocaine users became addicted.” According to the National Survey on Drug Use and Health, just 3 percent of Americans who have tried this reputedly irresistible and inescapable drug have smoked it in the last month.
Contrary to what anti-drug ads claim, Hart observes, addiction “is not an equal-opportunity disorder.” He notes that even rats, whose voracious consumption of cocaine in certain contrived conditions supposedly shows how powerfully addictive that drug is, tend to use it in moderation when they have other options, such as food, sex, or an interesting environment to explore.
Crack “gained the popularity that it did in the hood…because there weren’t that many other affordable sources of pleasure and purpose,” Hart writes. “And that was why, despite years of media-hyped predictions that crack’s expansion across classes was imminent, it never ‘ravaged’ the suburbs.”
Furthermore, Hart’s own research with heavy crack smokers found that, in contrast with the stereotypical addict who cannot help but immediately consume whatever crack is available, they frequently rejected the drug in favor of small cash payments or vouchers. He got similar results with meth snorters, even though he deliberately recruited frequent consumers who had no interest in stopping. These findings underline a crucial truth that Hart emphasizes: “The effects of drugs on human behavior and physiology are determined by a complex interaction between the individual drug user and her or his environment.”
Free Math Percentage Problems
Hart debunks various other misconceptions about crack and meth. He notes that the vast majority of violence attributed to crack grew out of black-market disputes, as opposed to the drug’s pharmacological effects. His studies found that cocaine and methamphetamine do increase heart rate and blood pressure, but the effect of typical doses is not dangerous in otherwise healthy people. He argues that research linking meth to brain damage confuses correlation with causation and fails to show that meth users’ cognitive capabilities are outside the normal range. And in case you were wondering, “There is no empirical evidence to support the claim that methamphetamine causes one to become physically unattractive.”
Hart is well aware of the hostility he is apt to provoke by challenging the myths underlying the war on drugs. He describes a 2005 meeting with journalists, arranged by the Office of National Drug Control Policy, where he tried to put the dangers of methamphetamine in perspective, noting that the drug is a government-approved treatment for narcolepsy and attention deficit hyperactivity disorder (ADHD). He cited his own research finding that methamphetamine has “the same effects” as a more familiar ADHD drug, Adderall, which has a “nearly identical” chemical structure. He added that pilots and soldiers commonly use amphetamines to stay alert.
Yet for some reason amphetamine use in these contexts is not considered alarming, physically dangerous, dentally destructive, or apt to produce outbursts of irrational, murderous violence. Hart’s calm and accurate presentation contrasted sharply with the tales of chemical slavery, degradation, and monstrous mayhem told by the other “experts” invited to the meeting: a cop, a prosecutor, and a self-identified meth addict. “My fellow panelists were horrified,” he says.
Math Percentage Problems Worksheets
Jacob Sullum ([email protected]), a senior editor at Reason magazine and a nationally syndicated columnist, is the author of Saying Yes: In Defense of Drug Use(Tarcher/Penguin). Follow him on Twitter: @jacobsullum.