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Free CLEP College Mathematics Practice Test (2026)

This is a set of 25 original practice questions that follow the official CLEP College Mathematics content outline and its topic weights, each with a short explanation. It's free, with no sign-up and nothing to download, and you can use a scientific calculator, as you can on the real exam.

These are practice questions we wrote from the official outline. This is not the real exam, and a practice score doesn't predict your CLEP score.

Practice questions

Question 1 of 25

A store's monthly sales rose from $80,000 to $100,000. By what percent would sales now have to fall to return to $80,000?

Question 2 of 25

Which of the following equations has a graph in the xy-plane that is symmetric about the x-axis?

Question 3 of 25

What is the negation of the statement "If the store is open, then the lights are on"?

Question 4 of 25

A survey asked 20 households how many people live in each one. Four households have 1 person, 7 have 2 people, 3 have 3 people, 2 have 4 people and 4 have 5 people. What is the median number of people per household?

Question 5 of 25

Five friends line up in a row for a photo. Two of them, Ana and Ben, insist on standing next to each other. How many different orders are possible?

Question 6 of 25

A dealer sold two used cars for $12,000 each. On one car the dealer made a profit of 20% of its cost, and on the other the dealer took a loss of 20% of its cost. Overall, the dealer

Question 7 of 25

Town A has 20,000 residents and gains 600 residents each year. Town B has 20,000 residents and grows by 2.5% each year. Which statement is true?

Question 8 of 25

How many positive integers are divisors of 72?

Question 9 of 25

In logic notation, ∨ means "or," ¬ means "not" and → means "if … then." For which truth values of p and q is the statement (p ∨ q) → ¬p false?

Question 10 of 25

Which of these savings accounts has the highest effective annual yield? (Daily compounding uses a 365-day year.)

Question 11 of 25

On a history exam, the class mean was 75 with a standard deviation of 5, and Ana scored 85. On a math exam, the class mean was 80 with a standard deviation of 10, and Ana scored 90. Compared with her classmates, on which exam did Ana do better?

Question 12 of 25

A country taxes income at 10% on the first $10,000 and at 20% on any income above $10,000. How much tax is owed on an income of $25,000?

Question 13 of 25

Triangle PQR is inscribed in a circle, and side PQ is a diameter of the circle. If angle P measures 34°, what is the measure of angle Q?

Question 14 of 25

A fair six-sided die is rolled 3 times. What is the probability of getting at least one 6?

Question 15 of 25

Consider the statement "If it rains, then the game is canceled." The converse of this statement is logically equivalent to which of the following?

Question 16 of 25

Maria invests $8,000 for 2 years at 6% annual interest. How much more interest does she earn if the interest is compounded annually instead of being simple interest?

Question 17 of 25

Which of the following data sets has the largest standard deviation?

Question 18 of 25

The pH of a solution is defined as pH = −log[H⁺], where [H⁺] is the hydrogen-ion concentration and log is the base-10 logarithm. Solution P has a pH of 3, and solution Q has a pH of 5. How does the hydrogen-ion concentration of P compare with that of Q?

Question 19 of 25

Which of the following statements is always true?

Question 20 of 25

How much must be deposited today in an account that pays 5% interest compounded annually in order to have $10,000 at the end of 4 years?

Question 21 of 25

Sets S and T are subsets of a universal set U, and S ⊆ T. Which of the following must be true? (S′ and T′ are the complements of S and T in U.)

Question 22 of 25

Events X and Y are mutually exclusive, with P(X) = 0.3 and P(Y) = 0.5. Which statement is true?

Question 23 of 25

Phone plan A costs $30 a month plus $0.10 per minute of calls. Plan B costs $45 a month with unlimited calls. For which numbers of minutes m in a month does plan A cost less than plan B?

Question 24 of 25

The mean of six numbers is 15. When one of the numbers is removed, the mean of the remaining five numbers is 14. What number was removed?

Question 25 of 25

A 6-foot-tall person stands on level ground 12 feet from the base of a lamppost whose light is 15 feet above the ground. How long is the person's shadow?

What the CLEP College Mathematics exam covers

The official outline's topics and their share of the exam College Board, checked 25 Oct 2026. See the official exam page.

  • Algebra and Functions20%
  • Counting and Probability10%
  • Data Analysis and Statistics15%
  • Financial Mathematics20%
  • Geometry10%
  • Logic and Sets15%
  • Numbers10%

Sources

Every fact on this page, the official page it comes from, the words it says there, and the day we read it.

  1. College Board: clep.collegeboard.org/clep-exams/college-mathematicsCollege Mathematics exam content outline: Algebra and Functions 20%; Counting and Probability 10%; Data Analysis and Statistics 15%; Financial Mathematics 20%; Geometry 10%; Logic and Sets 15%; Numbers 10%Checked 25 Oct 2026

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