FREE
PSAT Math Practice Tests

Free PSAT Math Practice Tests

Our completely free PSAT Math practice tests are the perfect way to brush up your skills. Take one of our many PSAT Math practice tests for a run-through of commonly asked questions. You will receive incredibly detailed scoring results at the end of your PSAT Math practice test to help you identify your strengths and weaknesses. Pick one of our PSAT Math practice tests now and begin!

Practice Tests by Concept

Algebra practice test

Questions: 7
Test Difficulty:
Average Time Spent: 5 mins

Algebraic fractions practice test

Questions: 20
Test Difficulty:
Average Time Spent: 27 mins

How to evaluate a fraction practice test

Questions: 3
Test Difficulty:
Average Time Spent: 5 mins

How to find excluded values practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 15 secs

How to find inverse variation practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

How to simplify a fraction practice test

Questions: 6
Test Difficulty:
Average Time Spent: 7 mins

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

Questions: 8
Test Difficulty:
Average Time Spent: 4 mins

Algebraic functions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 24 secs

How to find domain and range of the inverse of a relation practice test

Questions: 1
Test Difficulty:
Average Time Spent: 12 secs

How to find f(x) practice test

Questions: 40
Test Difficulty:

How to find the domain of a function practice test

Questions: 7
Test Difficulty:
Average Time Spent: 1 mins 53 secs

Distributive property practice test

Questions: 10
Test Difficulty:
Average Time Spent: 14 mins

How to use foil in the distributive property practice test

Questions: 10
Test Difficulty:
Average Time Spent: 15 mins

Equations / inequalities practice test

Questions: 1
Test Difficulty:
Average Time Spent: 40 secs

Equations / solution sets practice test

Questions: 1
Test Difficulty:
Average Time Spent: 9 secs

How to factor an equation practice test

Questions: 1
Test Difficulty:
Average Time Spent: 21 secs

How to find the solution for a system of equations practice test

Questions: 6
Test Difficulty:
Average Time Spent: 7 mins

Inequalities practice test

Questions: 20
Test Difficulty:
Average Time Spent: 16 mins

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

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

Quadratic equations practice test

Questions: 29
Test Difficulty:
Average Time Spent: 21 mins

Exponents practice test

Questions: 1
Test Difficulty:
Average Time Spent: 17 secs

Exponential operations practice test

Questions: 1
Test Difficulty:
Average Time Spent: 29 secs

How to divide exponents practice test

Questions: 1
Test Difficulty:
Average Time Spent: 4 secs

How to subtract exponents practice test

Questions: 4
Test Difficulty:
Average Time Spent: 12 mins

How to use foil practice test

Questions: 3
Test Difficulty:

Squaring / square roots / radicals practice test

Questions: 5
Test Difficulty:
Average Time Spent: 12 mins

Expressions practice test

Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 55 secs

Evaluating and simplifying expressions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 10 secs

How to evaluate algebraic expressions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 7 secs

Rational expressions practice test

Questions: 3
Test Difficulty:
Average Time Spent: 39 secs

How to add rational expressions with a common denominator practice test

Questions: 2
Test Difficulty:
Average Time Spent: 29 secs

Variables practice test

Questions: 4
Test Difficulty:
Average Time Spent: 4 mins

How to use the direct variation formula practice test

Questions: 3
Test Difficulty:
Average Time Spent: 4 mins

Factoring polynomials practice test

Questions: 13
Test Difficulty:
Average Time Spent: 20 mins

Polynomials practice test

Questions: 8
Test Difficulty:

Binomials practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 16 secs

Trinomials practice test

Questions: 6
Test Difficulty:

Arithmetic practice test

Questions: 12
Test Difficulty:
Average Time Spent: 11 mins

Basic squaring / square roots practice test

Questions: 9
Test Difficulty:
Average Time Spent: 3 mins

How to simplify square roots practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 15 secs

Square roots and operations practice test

Questions: 6
Test Difficulty:
Average Time Spent: 5 mins

How to add square roots practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 10 secs

How to divide square roots practice test

Questions: 1
Test Difficulty:
Average Time Spent: 36 secs

How to find the square of an integer practice test

Questions: 1
Test Difficulty:
Average Time Spent: 31 secs

How to multiply square roots practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 12 secs

How to square a decimal practice test

Questions: 1
Test Difficulty:
Average Time Spent: 18 secs

Decimals practice test

Questions: 20
Test Difficulty:

How to multiply decimals practice test

Questions: 4
Test Difficulty:
Average Time Spent: 4 mins

Fractions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 10 secs

General fractions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 20 secs

How to find the lowest / least common denominator practice test

Questions: 1
Test Difficulty:
Average Time Spent: 6 secs

Proportion / ratio / rate practice test

Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 25 secs

How to find rate practice test

Questions: 1
Test Difficulty:
Average Time Spent: 6 secs

Whole and part practice test

Questions: 11
Test Difficulty:

Integers practice test

Questions: 1
Test Difficulty:
Average Time Spent: 16 secs

Basic operations practice test

Questions: 10
Test Difficulty:

Counting / sets practice test

Questions: 10
Test Difficulty:
Average Time Spent: 9 mins

Even / odd numbers practice test

Questions: 1
Test Difficulty:
Average Time Spent: 23 secs

How to multiply odd numbers practice test

Questions: 1
Test Difficulty:
Average Time Spent: 9 secs

Negative numbers practice test

Questions: 4
Test Difficulty:

Permutation / combination practice test

Questions: 15
Test Difficulty:
Average Time Spent: 16 mins

Sequences practice test

Questions: 28
Test Difficulty:

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

Questions: 3
Test Difficulty:
Average Time Spent: 5 mins

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

Questions: 7
Test Difficulty:
Average Time Spent: 6 mins

Percentage practice test

Questions: 40
Test Difficulty:

Percent of change practice test

Questions: 16
Test Difficulty:

Whole and part practice test

Questions: 15
Test Difficulty:

Data analysis practice test

Questions: 3
Test Difficulty:
Average Time Spent: 10 mins

Statistics practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 29 secs

How to find arithmetic mean practice test

Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 8 secs

How to find mode practice test

Questions: 7
Test Difficulty:
Average Time Spent: 5 mins

How to find the probability of an outcome practice test

Questions: 1
Test Difficulty:
Average Time Spent: 56 secs

Venn diagrams practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 57 secs

How to find the intersection of a venn diagram practice test

Questions: 1
Test Difficulty:
Average Time Spent: 36 secs

How to find the union of a venn diagram practice test

Questions: 7
Test Difficulty:
Average Time Spent: 19 mins

Geometry practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 7 secs

Coordinate geometry practice test

Questions: 1
Test Difficulty:
Average Time Spent: 43 secs

How to find the equation of a circle practice test

Questions: 14
Test Difficulty:
Average Time Spent: 10 mins

Graphing practice test

Questions: 14
Test Difficulty:

How to graph a quadratic function practice test

Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 35 secs

Lines practice test

Questions: 1
Test Difficulty:
Average Time Spent: 20 secs

Midpoint formula practice test

Questions: 10
Test Difficulty:
Average Time Spent: 5 mins

How to find the endpoints of a line segment practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 16 secs

How to find the midpoint of a line segment practice test

Questions: 7
Test Difficulty:
Average Time Spent: 3 mins

Parallel lines practice test

Questions: 12
Test Difficulty:
Average Time Spent: 6 mins

Perpendicular lines practice test

Questions: 1
Test Difficulty:
Average Time Spent: 4 secs

How to find out if lines are perpendicular practice test

Questions: 1
Test Difficulty:
Average Time Spent: 5 secs

Points and distance formula practice test

Questions: 14
Test Difficulty:
Average Time Spent: 8 mins

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

Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 6 secs

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

Questions: 10
Test Difficulty:
Average Time Spent: 4 mins

How to find slope of a line practice test

Questions: 6
Test Difficulty:
Average Time Spent: 6 mins

Plane geometry practice test

Questions: 1
Test Difficulty:
Average Time Spent: 20 secs

Circles practice test

Questions: 40
Test Difficulty:

Clock math practice test

Questions: 5
Test Difficulty:

Radius practice test

Questions: 40
Test Difficulty:

Sectors practice test

Questions: 13
Test Difficulty:

Hexagons practice test

Questions: 5
Test Difficulty:
Average Time Spent: 20 mins

Lines practice test

Questions: 11
Test Difficulty:

Other polygons practice test

Questions: 15
Test Difficulty:

How to find an angle in a polygon practice test

Questions: 9
Test Difficulty:
Average Time Spent: 10 mins

Quadrilaterals practice test

Questions: 37
Test Difficulty:

Rectangles practice test

Questions: 18
Test Difficulty:

How to find the perimeter of a rectangle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Rhombuses practice test

Questions: 2
Test Difficulty:

Squares practice test

Questions: 14
Test Difficulty:

Triangles practice test

Questions: 1
Test Difficulty:
Average Time Spent: 6 secs

Right triangles practice test

Questions: 1
Test Difficulty:
Average Time Spent: 5 secs

Solid geometry practice test

Questions: 40
Test Difficulty:

Cones practice test

Questions: 8
Test Difficulty:

Cubes practice test

Questions: 27
Test Difficulty:

Cylinders practice test

Questions: 28
Test Difficulty:

Prisms practice test

Questions: 21
Test Difficulty:

Pyramids practice test

Questions: 2
Test Difficulty:

Spheres practice test

Questions: 21
Test Difficulty:

Practice Quizzes

PSAT Math Problem Set 3 Practice Test

Questions: 12
Test Difficulty:
Average Time Spent: 3 mins

PSAT Mathematics Problem Set 2 Practice Test

Questions: 12
Test Difficulty:
Average Time Spent: 9 mins

PSAT Mathematics Problem Set 1 Practice Test

Questions: 10
Test Difficulty:
Average Time Spent: 4 mins

Are you worried about taking the Math section of the PSAT/NMSQT? Many students find themselves worrying about this section for a number of reasons. Perhaps you’re worried about the section because math is a subject in which small mistakes can quickly derail problems, or perhaps you fear that you will not have enough time to work all of the problems. You can calm your apprehension by learning about the structure of the section and the types of questions it asks, as well as by using some great free resources to study.

Every PSAT contains two math sections, each twenty-five minutes long. Altogether, you are asked to solve 38 math questions on a PSAT. Twenty-eight of these questions are multiple-choice and provide you with answer choices from which to choose. The other ten problems, however, are grid-in questions, which ask you to calculate your answer, write it in a given box on your answer sheet, and fill in the bubbles corresponding to each number underneath the box, just like how you bubble in your name on answer sheets. You are allowed to use certain specific kinds of calculators on the PSAT Math section, so make sure that the calculator you plan to use is one of the kinds allowed before test day.

In need of resources that can help you review the mathematical concepts covered on the PSAT’s Math section? Free PSAT Math Practice Tests from Varsity Tutors can help you with all your studying needs. Taking a Practice Test is like taking a twelve-question quiz on topics covered on the PSAT’s Math section. If you miss a question, a full explanation is provided, so you can figure out precisely where you went wrong instead of just realizing you missed the question and moving on without learning from your mistake. If you figure out that you need to focus on one particular area of math—how to multiply fractions, for example, or how to work with exponents—Varsity Tutors’ Practice Tests can help you do that, too, as Practice Test questions are also organized by content. So, you can focus on whatever aspect of math you need to in order to make your studying time as productive as possible. Doing well on the PSAT’s Math section shouldn’t seem as impossible as it may initially appear after you consider what great free Practice Tests and other PSAT Math resources you have access to for free on Varsity Tutors’ Learning Tools site.

 

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