CLEP College Math Practice Questions with Answers: 15 Problems to Try First

The CLEP College Mathematics exam is designed around college-level math for non-mathematics majors. The College Board’s official exam page describes an exam with about 60 questions in 90 minutes, with some pretest questions that are not scored. It also lists a built-in TI-30XS MultiView scientific calculator for the computer-based test, a 20-80 score scale, and a credit-granting score recommendation of 50 for 3 semester hours.

ViewMath is not affiliated with or endorsed by the College Board or CLEP. These are original practice questions, not released CLEP questions. Always verify current exam details and your college’s credit policy at clep.collegeboard.org and with your institution.

CLEP College Mathematics Content Areas

The official College Board outline lists these approximate content weights:

Content Area	Approximate Weight
Algebra and Functions	20%
Financial Mathematics	20%
Logic and Sets	15%
Data Analysis and Statistics	15%
Counting and Probability	10%
Geometry	10%
Numbers	10%

That mix matters. A student who only reviews algebra may still be underprepared for logic, sets, financial math, probability, and statistics.

15 CLEP College Math Practice Questions

1. Logic. What is the contrapositive of the statement “If it is raining, then the ground is wet”?

(A) If it is not raining, then the ground is not wet
(B) If the ground is not wet, then it is not raining
(C) If the ground is wet, then it is raining
(D) If it is not raining, then the ground is wet

2. Sets. In a class of 30 students, 18 study Spanish, 12 study French, and 5 study both. How many students study neither language?

3. Financial Math. $2,000 is invested at 4% annual interest compounded quarterly. What is the balance after 3 years? Use A = P(1 + r/n)^nt.

4. Percent. A laptop originally costs $950 and is on sale for $760. What is the percent discount?

5. Linear Equation. Solve: 2(3x – 4) + 5 = 3(x + 1).

6. Functions. If f(x) = x² – 3x + 2, what is f(-1)?

7. Numbers. Which number is not prime: 2, 17, 51, or 37?

8. Data Analysis. A data set is 4, 9, 11, 5, 7, 6, 8, 10, 12, 8. Find the mean and median.

9. Counting. A committee of 3 people is selected from 8 volunteers. How many different committees are possible?

10. Probability. A card is drawn from a standard 52-card deck. What is the probability that the card is a heart or a king?

11. Geometry. A circle has circumference 20π cm. What is its area?

12. Logic. Which statement is logically equivalent to “If p, then q”?

(A) If q, then p
(B) If not p, then not q
(C) If not q, then not p
(D) If q, then not p

13. Simple vs. Compound Interest. Maria invests $1,000 at 5% simple interest for 4 years. Diego invests $1,000 at 5% interest compounded annually for 4 years. How much more money does Diego have than Maria at the end?

14. Permutations. In how many different ways can 5 students be arranged in a row?

15. Irrational Numbers. Which is irrational: √16, 0.333…, √7, or 22/7?

Answers with Explanations

(B). The contrapositive of “If P, then Q” is “If not Q, then not P.”
5 students. At least one language: 18 + 12 – 5 = 25. Neither: 30 – 25 = 5.
About $2,253.65. A = 2000(1 + 0.04/4)¹² = 2000(1.01)¹² = 2000(1.126825…) = $2,253.65.
20%. The discount is 950 – 760 = 190, and 190/950 = 0.20.
x = 2. 2(3x – 4) + 5 = 6x – 8 + 5 = 6x – 3. The right side is 3x + 3. So 6x – 3 = 3x + 3, 3x = 6, and x = 2.
6. f(-1) = (-1)² – 3(-1) + 2 = 1 + 3 + 2.
51. 51 = 3 × 17, so it is composite.
Mean = 8; median = 8. The sum is 80, so the mean is 80/10. In order, the middle two values are 8 and 8.
56. Use combinations: C(8,3) = (8 × 7 × 6)/(3 × 2 × 1) = 56.
4/13. Hearts = 13, kings = 4, and the king of hearts is counted twice. Favorable cards = 13 + 4 – 1 = 16, so 16/52 = 4/13.
100π cm². Since C = 2πr = 20π, r = 10. Area = πr² = 100π.
(C). The contrapositive “If not q, then not p” is logically equivalent to “If p, then q.”
$15.51 more. Maria has $1,000 + $200 = $1,200. Diego has 1000(1.05)⁴ = $1,215.51. Difference: $15.51.
120. There are 5! = 5 × 4 × 3 × 2 × 1 arrangements.
√7. √16 = 4, 0.333… = 1/3, and 22/7 is a ratio of integers. √7 is irrational.

How to Use These Questions

Do not just check the answer and move on. Use the official content weights to decide what to study next.

If you missed questions 3, 4, or 13, review financial math first.
If you missed questions 1, 2, or 12, spend time on logic statements and Venn diagrams.
If you missed questions 9 or 14, review combinations versus permutations.
If you missed questions 5 or 6, rebuild algebra fluency before taking a full practice test.
If you missed question 8, practice mean, median, range, standard deviation basics, and interpreting data displays.

Two-Week CLEP College Math Study Plan

Day	Focus	Task
1-2	Diagnostic review	Try a mixed set and start an error log.
3-4	Algebra and functions	Linear equations, functions, graphs, and models.
5-6	Financial math	Percent, simple interest, compound interest, APR, and annuities basics.
7-8	Logic and sets	Conditionals, contrapositives, Venn diagrams, and set notation.
9-10	Statistics and probability	Mean, median, data interpretation, combinations, and probability.
11	Geometry and numbers	Area, volume, circles, rational and irrational numbers.
12-13	Timed mixed practice	Work in 90-minute blocks when possible.
14	Final repair	Redo missed problems and memorize formulas you keep forgetting.

ViewMath CLEP College Math Resources

ViewMath CLEP College Math materials focus on the algebra, financial math, logic, statistics, probability, geometry, and number skills that appear in the College Board outline. Use the practice questions above as a diagnostic, then choose a workbook or practice test based on the areas you missed.