# Free GRE Math Practice Tests

### All GRE Math Resources

## Practice Tests by Concept

### How to solve for a variable as part of a fraction practice test

**Average Time Spent**: 2 mins 19 secs

### How to find the solution to an inequality with addition practice test

**Average Time Spent**: 1 mins 3 secs

### How to find the solution to an inequality with division practice test

**Average Time Spent**: 3 mins

### How to find the solution to an inequality with multiplication practice test

**Average Time Spent**: 27 secs

### How to find the solution to an inequality with subtraction practice test

**Average Time Spent**: 6 mins

### How to find out when an equation has no solution practice test

**Average Time Spent**: 1 mins 12 secs

### How to find the solution to a rational equation with lcd practice test

**Average Time Spent**: 5 mins

### How to find the solution to an equation practice test

**Average Time Spent**: 1 hrs 1 mins

### How to find the solution to a quadratic equation practice test

**Average Time Spent**: 3 mins

### How to find a rational number from an exponent practice test

**Average Time Spent**: 43 secs

### How to find an exponent from a rational number practice test

**Average Time Spent**: 1 mins 21 secs

### How to add rational expressions with a common denominator practice test

**Average Time Spent**: 2 mins 20 secs

### How to add rational expressions with different denominators practice test

**Average Time Spent**: 2 mins 25 secs

### How to subtract rational expressions with different denominators practice test

**Average Time Spent**: 2 mins 0 secs

### Factoring common factors of squares and square roots practice test

**Average Time Spent**: 2 mins 21 secs

### How to find the common factor of square roots practice test

**Average Time Spent**: 1 mins 40 secs

### How to find the common factors of squares practice test

**Average Time Spent**: 2 mins 4 secs

### How to find the square root of a decimal practice test

**Average Time Spent**: 50 secs

### How to find the decimal equivalent of a fraction practice test

**Average Time Spent**: 44 secs

### How to find the fractional equivalent of a decimal practice test

**Average Time Spent**: 2 mins 45 secs

### How to order decimals from least to greatest or from greatest to least practice test

**Average Time Spent**: 2 mins 19 secs

### How to convert decimals to scientific notation practice test

**Average Time Spent**: 42 secs

### How to find a solution to a compound fraction practice test

**Average Time Spent**: 30 secs

### How to find the decimal equivalent of a fraction practice test

**Average Time Spent**: 2 mins 26 secs

### How to find the fractional equivalent of a decimal practice test

**Average Time Spent**: 2 mins 20 secs

### How to find a fraction from a percentage practice test

**Average Time Spent**: 54 secs

### How to find fractional percentages practice test

**Average Time Spent**: 2 mins 43 secs

### How to find percentage from a fraction practice test

**Average Time Spent**: 1 mins 12 secs

### How to find the amount of rational numbers between two numbers practice test

**Average Time Spent**: 3 mins

### How to find the lowest / least common denominator practice test

**Average Time Spent**: 1 mins 16 secs

### How to find out a mixed fraction from an improper fraction practice test

**Average Time Spent**: 47 secs

### How to find out an improper fraction from a mixed fraction practice test

**Average Time Spent**: 58 secs

### How to order fractions from least to greatest or from greatest to least practice test

**Average Time Spent**: 3 mins

### How to find the ratio of a fraction practice test

**Average Time Spent**: 2 mins 11 secs

### How to find the volume of a solution practice test

**Average Time Spent**: 1 hrs 4 mins

### How to find the reciprocal of a fraction practice test

**Average Time Spent**: 47 secs

### How to find the part from the whole practice test

**Average Time Spent**: 1 mins 54 secs

### How to find the number of integers between two other integers practice test

**Average Time Spent**: 5 mins

### How to find the greatest common factor practice test

**Average Time Spent**: 1 mins 6 secs

### Graphing an inequality with a number line practice test

**Average Time Spent**: 4 mins

### How to graph an inequality with a number line practice test

**Average Time Spent**: 4 mins

### How to find the next term in an arithmetic sequence practice test

**Average Time Spent**: 3 mins

### How to find the nth term of an arithmetic sequence practice test

**Average Time Spent**: 3 mins

### How to find the answer to an arithmetic sequence practice test

**Average Time Spent**: 31 secs

### How to find the common difference in sequences practice test

**Average Time Spent**: 2 mins 8 secs

### How to find the missing number in a set practice test

**Average Time Spent**: 1 mins 47 secs

### How to find decimal equivalent to a percentage practice test

**Average Time Spent**: 27 secs

### How to find percentage equivalent to a decimal practice test

**Average Time Spent**: 59 secs

### How to find fractional percentages practice test

**Average Time Spent**: 1 mins 51 secs

### How to find the amount of sales tax practice test

**Average Time Spent**: 2 mins 30 secs

### How to find the part from the whole practice test

**Average Time Spent**: 1 mins 8 secs

### How to find the whole from the part practice test

**Average Time Spent**: 2 mins 16 secs

### How to find the greatest or least number of combinations practice test

**Average Time Spent**: 1 hrs 9 mins

### How to find the probability of an outcome practice test

**Average Time Spent**: 23 mins

### How to find the intersection of a venn diagram practice test

**Average Time Spent**: 2 mins 17 secs

### How to find the union of a venn diagram practice test

**Average Time Spent**: 1 mins 44 secs

### How to find the length of a line with distance formula practice test

**Average Time Spent**: 2 mins 33 secs

### How to find the endpoints of a line segment practice test

**Average Time Spent**: 58 secs

### How to find the midpoint of a line segment practice test

**Average Time Spent**: 1 mins 9 secs

### How to find out if a point is on a line with an equation practice test

**Average Time Spent**: 6 mins

### How to find the equation of parallel lines practice test

**Average Time Spent**: 1 mins 33 secs

### How to find the slope of parallel lines practice test

**Average Time Spent**: 1 mins 36 secs

### How to find out if lines are perpendicular practice test

**Average Time Spent**: 3 mins

### How to find the equation of a perpendicular line practice test

**Average Time Spent**: 5 mins

### How to find the slope of a perpendicular line practice test

**Average Time Spent**: 10 mins

### How to find the equation of a curve practice test

**Average Time Spent**: 1 mins 10 secs

### How to find the length of a chord practice test

**Average Time Spent**: 1 mins 23 secs

### How to find the distance between clock hands practice test

**Average Time Spent**: 2 mins 48 secs

### How to find the length of the diameter practice test

**Average Time Spent**: 2 mins 5 secs

### How to find the ratio of diameter and circumference practice test

**Average Time Spent**: 4 mins

### How to find the angle for a percentage of a circle practice test

**Average Time Spent**: 3 mins

### How to find the percentage of a sector from an angle practice test

**Average Time Spent**: 5 mins

### How to find an angle in a pentagon practice test

**Average Time Spent**: 2 mins 7 secs

### How to find an angle in a parallelogram practice test

**Average Time Spent**: 1 mins 18 secs

### How to find the length of the side of a parallelogram practice test

**Average Time Spent**: 4 mins

### How to find the area of a rectangle practice test

**Average Time Spent**: 2 mins 53 secs

### How to find the length of the diagonal of a rectangle practice test

**Average Time Spent**: 1 mins 42 secs

### How to find the length of the side of a rectangle practice test

**Average Time Spent**: 1 mins 24 secs

### How to find the perimeter of a rectangle practice test

**Average Time Spent**: 2 mins 42 secs

### How to find the length of the diagonal of a square practice test

**Average Time Spent**: 3 mins

### How to find the length of the side of a square practice test

**Average Time Spent**: 4 mins

### How to find an angle in an acute / obtuse triangle practice test

**Average Time Spent**: 2 mins 1 secs

### How to find the area of an acute / obtuse triangle practice test

**Average Time Spent**: 1 mins 38 secs

### How to find the length of the side of an acute / obtuse triangle practice test

**Average Time Spent**: 1 mins 46 secs

### How to find the area of an equilateral triangle practice test

**Average Time Spent**: 1 mins 13 secs

### How to find the height of an equilateral triangle practice test

**Average Time Spent**: 1 mins 56 secs

### How to find the perimeter of an equilateral triangle practice test

**Average Time Spent**: 40 secs

### Acute / obtuse isosceles triangles practice test

**Average Time Spent**: 1 mins 58 secs

### How to find an angle in an acute / obtuse isosceles triangle practice test

**Average Time Spent**: 1 mins 44 secs

### How to find the perimeter of an acute / obtuse isosceles triangle practice test

**Average Time Spent**: 43 secs

### How to find the length of the hypotenuse of a right triangle : pythagorean theorem practice test

**Average Time Spent**: 4 mins

### How to find the length of the side of a right triangle practice test

**Average Time Spent**: 4 mins

### How to find the perimeter of a right triangle practice test

**Average Time Spent**: 5 mins

### How to find the length of an edge of a cube practice test

**Average Time Spent**: 1 mins 27 secs

### How to find the surface area of a cube practice test

**Average Time Spent**: 2 mins 35 secs

### How to find the surface area of a cylinder practice test

**Average Time Spent**: 7 mins

### How to find the surface area of a prism practice test

**Average Time Spent**: 1 mins 12 secs

### How to find the surface area of a sphere practice test

**Average Time Spent**: 1 mins 52 secs

### All GRE Math Resources

## Practice Quizzes

### All GRE Math Resources

### All GRE Math Resources

### All GRE Math Resources

### All GRE Math Resources

### GRE Quantitative Reasoning Problem Set 62 Practice Test

**Average Time Spent**: 7 mins

### GRE Quantitative Reasoning Problem Set 61 Practice Test

**Average Time Spent**: 4 mins

### GRE Quantitative Reasoning Problem Set 60 Practice Test

**Average Time Spent**: 4 mins

### GRE Quantitative Reasoning Problem Set 59 Practice Test

**Average Time Spent**: 5 mins

### All GRE Math Resources

### GRE Quantitative Reasoning Problem Set 58 Practice Test

**Average Time Spent**: 13 mins

### GRE Quantitative Reasoning Problem Set 57 Practice Test

**Average Time Spent**: 3 mins

### GRE Quantitative Reasoning Problem Set 56 Practice Test

**Average Time Spent**: 7 mins

### GRE Quantitative Reasoning Problem Set 55 Practice Test

**Average Time Spent**: 18 mins

### GRE Quantitative Reasoning Problem Set 54 Practice Test

**Average Time Spent**: 6 mins

### GRE Quantitative Reasoning Problem Set 53 Practice Test

**Average Time Spent**: 3 mins

### GRE Quantitative Reasoning Problem Set 52 Practice Test

**Average Time Spent**: 2 mins 8 secs

### All GRE Math Resources

### GRE Quantitative Reasoning Problem Set 51 Practice Test

**Average Time Spent**: 1 mins 26 secs

### GRE Quantitative Reasoning Problem Set 50 Practice Test

**Average Time Spent**: 6 mins

### GRE Quantitative Reasoning Problem Set 49 Practice Test

**Average Time Spent**: 2 mins 11 secs

### GRE Quantitative Reasoning Problem Set 48 Practice Test

**Average Time Spent**: 3 mins

### GRE Quantitative Reasoning Problem Set 47 Practice Test

**Average Time Spent**: 2 mins 1 secs

### GRE Quantitative Reasoning Problem Set 46 Practice Test

**Average Time Spent**: 2 mins 38 secs

### GRE Quantitative Reasoning Problem Set 45 Practice Test

**Average Time Spent**: 5 mins

### GRE Quantitative Reasoning Problem Set 44 Practice Test

**Average Time Spent**: 4 mins

### GRE Quantitative Reasoning Problem Set 43 Practice Test

**Average Time Spent**: 2 mins 57 secs

### GRE Quantitative Reasoning Problem Set 42 Practice Test

**Average Time Spent**: 1 mins 51 secs

### All GRE Math Resources

### GRE Quantitative Reasoning Problem Set 41 Practice Test

**Average Time Spent**: 1 mins 38 secs

### GRE Quantitative Reasoning Problem Set 40 Practice Test

**Average Time Spent**: 3 mins

### GRE Quantitative Reasoning Problem Set 39 Practice Test

**Average Time Spent**: 1 mins 26 secs

### GRE Quantitative Reasoning Problem Set 38 Practice Test

**Average Time Spent**: 6 mins

### GRE Quantitative Reasoning Problem Set 37 Practice Test

**Average Time Spent**: 2 mins 14 secs

### GRE Quantitative Reasoning Problem Set 36 Practice Test

**Average Time Spent**: 2 mins 3 secs

### GRE Quantitative Reasoning Problem Set 35 Practice Test

**Average Time Spent**: 5 mins

### GRE Quantitative Reasoning Problem Set 34 Practice Test

**Average Time Spent**: 2 mins 25 secs

### GRE Quantitative Reasoning Problem Set 32 Practice Test

**Average Time Spent**: 1 mins 28 secs

### GRE Quantitative Reasoning Problem Set 31 Practice Test

**Average Time Spent**: 22 mins

### All GRE Math Resources

### GRE Quantitative Reasoning Problem Set 28 Practice Test

**Average Time Spent**: 3 mins

### GRE Quantitative Reasoning Problem Set 27 Practice Test

**Average Time Spent**: 7 mins

### GRE Quantitative Reasoning Problem Set 25 Practice Test

**Average Time Spent**: 9 mins

### GRE Quantitative Reasoning Problem Set 23 Practice Test

**Average Time Spent**: 1 mins 23 secs

### GRE Quantitative Reasoning Problem Set 22 Practice Test

**Average Time Spent**: 16 mins

### GRE Quantitative Reasoning Problem Set 21 Practice Test

**Average Time Spent**: 6 mins

### GRE Quantitative Reasoning Problem Set 19 Practice Test

**Average Time Spent**: 3 mins

### GRE Quantitative Reasoning Problem Set 18 Practice Test

**Average Time Spent**: 2 mins 18 secs

### GRE Quantitative Reasoning Problem Set 17 Practice Test

**Average Time Spent**: 2 mins 56 secs

### GRE Quantitative Reasoning Problem Set 16 Practice Test

**Average Time Spent**: 4 mins

### All GRE Math Resources

### GRE Quantitative Reasoning Problem Set 15 Practice Test

**Average Time Spent**: 1 mins 57 secs

### GRE Quantitative Reasoning Problem Set 14 Practice Test

**Average Time Spent**: 4 mins

### GRE Quantitative Reasoning Problem Set 13 Practice Test

**Average Time Spent**: 3 mins

### GRE Quantitative Reasoning Problem Set 11 Practice Test

**Average Time Spent**: 8 mins

### GRE Quantitative Reasoning Problem Set 10 Practice Test

**Average Time Spent**: 12 mins

### GRE Quantitative Reasoning Problem Set 8 Practice Test

**Average Time Spent**: 14 mins

### All GRE Math Resources

Our free GRE Quantitative Practice Tests are each a selection of 10 to 12 questions, which will give you a cross-section of topics from the Quantitative section of the GRE exam. You might think of them as little quizzes, which you can use to hone your skills.

## GRE Quantitative Section

**What is the format of the GRE Quantitative section?**

The GRE Quantitative section contains two 35-minute sections of 20 problems each. The sections are adaptive, meaning that the difficulty of the second quantitative section is based on your performance on the first quantitative section.

**What does the GRE Quantitative section test?**

The GRE Quantitative section tests arithmetic, algebra, geometry, and data analysis.

Arithmetic GRE Quantitative questions test properties and types of integers, such as divisibility, factorization, prime numbers, remainders and odd and even integers; arithmetic operations, exponents and roots; and concepts such as estimation, percent, ratio, rate, absolute value, the number line, decimal representation and sequences of numbers.

Algebra GRE Quantitative questions test operations with exponents; factoring and simplifying algebraic expressions; relations, functions, equations and inequalities; solving linear and quadratic equations and inequalities; solving simultaneous equations and inequalities; setting up equations to solve word problems; and coordinate geometry, including graphs of functions, equations and inequalities, intercepts and slopes of lines.

Geometry GRE Quantitative questions test parallel and perpendicular lines, circles, triangles (including isosceles, equilateral and 30°-60°-90° triangles ), quadrilaterals, other polygons, congruent and similar figures, three-dimensional figures, area, perimeter, volume, the Pythagorean theorem and angle measurement in degrees. The ability to construct proofs is not tested.

Data analysis GRE Quantitative questions test basic descriptive statistics, such as mean, median, mode, range, standard deviation, interquartile range, quartiles and percentiles; interpretation of data in tables and graphs, such as line graphs, bar graphs, circle graphs, boxplots, scatterplots and frequency distributions; elementary probability, such as probabilities of compound events and independent events; random variables and probability distributions, including normal distributions; and counting methods, such as combinations, permutations and Venn diagrams. Inferential statistics is NOT tested.

**What types of problems are on the GRE Quantitative section?**

The GRE Quantitative section is made up of three basic problem types: Quantitative Comparison; Multiple Choice (some of which require you to select multiple correct answers); and Numeric Entry. Some of the Multiple Choice and Numeric Entry problems are based on data interpretation sets, where multiple questions are asked about a single set of data.

Quantitative Comparison problems ask you to compare two quantities. Usually, one of these quantities is expressed in terms that require some computation, in order to solve it or reduce it into a form that can be compared.

Multiple Choice questions ask you to select one or more correct answers to an equation or story problem, or a question about a data set.

Numeric Entry problems ask you about equation or story problems, or may concern a data set, but instead of having potential answers presented to you, as with Multiple Choice questions, you type out the answer into a blank box yourself.

**Are there significant differences between the kinds of problems on the Quantitative section of the GRE revised General Test and those from the previous GRE format given before August 2011? **

While the differences on the new GRE Quantitative section are less significant than the changes made to the GRE Verbal section, they are still worth noting and considering during your preparation. The main differences involve the inclusion of problems that have multiple correct answers, so be sure to read all of the answer choices, even after you have identified a correct option. Also new to the revised test are problems where you enter an actual number, as opposed to the earlier GRE Quantitative format, which consisted entirely of Multiple Choice and Quantitative Comparison questions. In general, the revised Quantitative section focuses more on using math in different situations, i.e. data analysis, rather than merely manipulating numbers, which was the old version’s focus.

**Can I use a calculator on the GRE Quantitative section?**

You absolutely may, but not your own. A digital calculator is provided for you to use as part of the testing software. This decreases the amount of time required for computing, leaving more time to test for comprehension of mathematical principles. It is recommended that you familiarize yourself with the format and capabilities of this calculator before taking the test.

**I haven’t taken any math classes in college—will I survive the GRE Quantitative section?**

You will certainly want to review your old notes, but you don’t need to worry. The GRE Quantitative section does not require any concepts that are not covered in high school math; however, you may want to brush up on arithmetic, algebra, geometry, and basic data analysis, as these are the concepts that the GRE Quantitative section tests.

**What is the score scale for the GRE Quantitative section?**

The GRE Quantitative section, formally scored in ten-point increments on a 200-800 scale, is now scored in single-point increments on a 130-170 scale. The 50^{th }percentile for a given test will normally fall in the 151-152 range.

**Should I guess on the GRE Quantitative section?**

There is no penalty for guessing—your score is based on a tally of how many questions you answer correctly in the two Quantitative sections; however, you will still want to guess in an educated and strategic manner when you are unsure of the correct answer(s) by trying to eliminate answers that you are sure are incorrect and guessing between the remaining possible answers.** **

**Does the difficulty of a GRE Quantitative section question vary based on my answer to the previous question?**

No. This was true of the previous GRE format (making it beneficial to spend a bit more time on the earlier problems in a section), but now this is not the case within a section. In the revised format, you may skip and return to problems, and change answers within the section you are currently on should you wish to do so. There remains an adaptive element to the GRE Quantitative section, though: your performance on the first Quantitative section will determine the difficulty of the second Quantitative section. This arrangement allows the GRE to find your precise score within your score range.** **

**Can I cancel my score report for one section?**

While you are now able to *see *your scores before deciding whether to report them officially, you may not report isolated scores; if you want to cancel one score from a testing date, you must cancel them all from that date.

**How should I study for the GRE Quantitative section?**

Varsity Tutors offers free GRE Quantitative Practice Tests for you to use in preparing for the GRE’s Quantitative section. Our free GRE Quantitative Practice Tests are written by teachers, professors, content specialists, and tutors. Explanations are given for each question, so if you miss a question, you can find out where you went wrong. Varsity Tutors also offers free GRE Quantitative Diagnostic Tests, free GRE Quantitative Flashcards, free GRE Quantitative Questions of the Day, and other free GRE Quantitative resources.

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