Full-Length CLEP College Mathematics Practice Test

B. \(x^2+2x+4\)

C. \(2x^2-4x+4\)

D. \(2x^2+4x+2\)

2- Right triangle ABC has two legs of lengths 8 cm (AB) and 15 cm (AC). What is the length of the third side (BC)?

A. 11 cm

B. 13 cm

C. 15 cm

D. 17 cm

3- If A={1,5,10,15,20}, B={3,6,9,12}, and C={2,4,6,8,10,12,14}, then which of the following set is (A∪B)∩C?

A. \({1,3,5,6,9,10,12,15,20}\)

B. \({2,3,4,6,8,9,10,12,14}\)

C. \({10,15,20}\)

D. \({6,10,12}\)

4- If \(6n+3≥2\), what is the least possible value of \(6n-4\)?

A. \(-2\)

B. \(-3\)

C. \(-4\)

D. \(-5\)

5- A ladder leans against a wall forming a \(60^\circ\) angle between the ground and the ladder. If the bottom of the ladder is 35 feet away from the wall, how long is the ladder?

A. 23 feet

B. 35 feet

C. 55 feet

D. 70 feet

6- If \(A={1,4,7,10,13,16,19}\) and \(B={1,4,8,12,16,20}\), how many elements are in \(A∩B\)?

A. 1

B. 3

C. 5

D. 7

7- What is the solution to the following inequality?
\(|x+8|≤5\)

A. \(x≥-3 ∪ x≤-13\)

B. \(-13≤x≤-3\)

C. \(x≥-3\)

D. \(x≤-13\)

E. Set of real numbers

8- A bank is offering \(5.5\%\) simple interest on a savings account. If you deposit $12,000, how much interest will you earn in eight years?

A. $3,850

B. $4,640

C. $5,280

D. $,6230

9- The area of a circle is less than 81 π. Which of the following can be the circumference of the circle?

A. 16 π

B. 18 π

C. 21 π

D. 25 π

10- Which of the following values for \(x\) and \(y\) satisfy the following system of equations?
\(2x+4y=-10\)
\(6x+3y=6\)

A. \(x=-3,y=-4\)

B. \(x=-3,y=4\)

C. \(x=3,y=4\)

D. \(x=3,y=-4\)

11- If \(80\%\) of A is \(16\%\) of B, then B is what percent of A?

A. \(0.5\%\)

B. \(5\%\)

C. \(50\%\)

D. \(500\%\)

12- The price of a car was $30,000 in 2015, $24,000 in 2016, and $19,200 in 2017. What is the rate of depreciation of the price of a car per year?

A. \(15\%\)

B. \(20\%\)

C. \(25\%\)

D. \(30\%\)

13- The width of a box is one-fourth of its length. The height of the box is one second of its width. If the length of the box is 48 cm, what is the volume of the box?

A. 2,563 \(cm^3\)

B. 2,874 \(cm^3\)

C. 3,456 \(cm^3\)

D. 3,982 \(cm^3\)

14- How many possible outfit combinations come from five shirts, four slacks, and three ties?

A. 32

B. 48

C. 54

D. 60

15- If \(60\%\) of a class are girls, and \(22\%\) of girls play tennis, what percent of the class play tennis?

A. \(8.8\%\)

B. \(13.2\%\)

C. \(18.3\%\)

D. \(23.4\%\)

16- A $64 shirt now selling for $48 is discounted by what percent?

A. \(20\%\)

B. \(25\%\)

C. \(30\%\)

D. \(35\%\)

17- 48 is What percent of 24?

A. \(50\%\)

B. \(150\%\)

C. \(200\%\)

D. \(250\%\)

18- If the area of a trapezoid is 120 cm, what is the perimeter of the trapezoid?

A. 36 cm

B. 48 cm

C. 56 cm

D. 64 cm

19- In four successive hours, a car travels 55 km, 68 km, 48 km, and 72 km. In the next four hours, it travels with an average speed of 64 km per hour. Find the total distance the car traveled in 8 hours.

A. 395 km

B. 483 km

C. 499 km

D. 517 km

20- How long does a 468–mile trip take moving at 72 miles per hour (mph)?

A. 6 hours

B. 6 hours and 25 minutes

C. 6 hours and 30 minutes

D. 6 hours and 40 minutes

21- In the \(xy\)-plane, the point \((5, -2)\) and \((3, 4)\) are on line A. Which of the following points could also be on line A? (Select one or more answer choices)

A. \((-1,1)\)

B. \((2,3)\)

C. \((3,2)\)

D. \((4,1)\)

22- One-third of 27 is equal to \(\frac{3}{4}\) of what number?

A. 10

B. 12

C. 15

D. 18

23- The marked price of a computer is D dollars. Its price decreased by \(15\%\) in January and later increased by \(20\%\) in February. What is the final price of the computer in D dollars?

A. 0.80 D

B. 0.85 D

C. 0.95 D

D. 1.02 D

24- A line in the \(xy\)-plane passes through the origin and has a slope of \(\frac{1}{4}\). Which of the following points lies on the line?

A. \((2, 1)\)

B. \((3, -1)\)

C. \((4, 1)\)

D. \((4, 2)\)

25- How many tiles of 11 \(cm^2\) is needed to cover a floor of dimension 8 \(cm\) by 22 \(cm\)?

A. 9

B. 14

C. 16

D. 19

26- Which of the following lists shows the fractions in order from least to greatest?
\(\frac{7}{9},\frac{3}{5},\frac{4}{7},\frac{5}{13}\)

A. \(\frac{3}{5}, \frac{4}{7}, \frac{7}{9}, \frac{5}{13}\)

B. \(\frac{4}{7}, \frac{5}{13},\frac{4}{7}, \frac{7}{9}\)

C. \(\frac{4}{7}, \frac{4}{7}, \frac{5}{13},\frac{7}{9}\)

D. \(\frac{5}{13}, \frac{4}{7}, \frac{4}{7},\frac{7}{9}\)

27- A boat sails 12 miles south and then 16 miles east. How far is the boat from its start point?

A. 14 miles

B. 18 miles

C. 20 miles

D. 24 miles

28- The ratio of boys and girls in a class is 5: 7. If there are 60 students in the class, how many more boys should be enrolled to make the ratio 1: 1?

A. 10

B. 14

C. 16

D. 18

29- Sophia purchased a sofa for $535.44. The sofa is regularly priced at $582. What was the percent discount Sophia received on the sofa?

A. \(8\%\)

B. \(12\%\)

C. \(15\%\)

D. \(20\%\)

30- The score of Emma was twice that of Ava, and the score of Mia was half that of Ava. If the score of Mia was 30, what is the score, Emma?

A. 30

B. 55

C. 75

D. 120

31- A bag contains 19 balls: two green, six black, eight blue, a brown, a red, and one white. If 18 balls are removed from the bag at random, what is the probability that a red ball has been removed?

A. \(\frac{13}{19}\)

B. \(\frac{14}{19}\)

C. \(\frac{17}{19}\)

D. \(\frac{18}{19}\)

32- The average of five consecutive numbers is 45. What is the smallest number?

A. 35

B. 39

C. 40

D. 43

33- Which of the following could be the product of two consecutive prime numbers?

A. 2

B. 10

C. 14

D. 15

34- In the XY plane, the points (4, 2) and (6, 8) are on line A. Which of the following equations of lines is parallel to line A?

A. \(y=2x-5\)

B. \(y=\frac{1}{2}x+3\)

C. \(y=3x-1\)

D. \(y=\frac{1}{3}x+3\)

35- A chemical solution contains \(15\%\) alcohol. If there are 36 mL of alcohol, what is the volume of the solution?

A. 210 ml

B. 240 ml

C. 290 ml

D. 340 ml

36- The average weight of 24 girls in a class is 68 kg, and the average weight of 16 boys in the same class is 75 kg. What is the average weight of all the 40 students in that class?

A. 69.5

B. 70.8

C. 72.8

D. 73.2

37- Which of the following numbers is NOT a solution to the inequality \(3x-6≥2x-8\)?

A. \(-3\)

B. \(-2\)

C. \(-1\)

D. \(0\)

38- If the following equations are true, what is the value of \(x\)?
\(a=\sqrt{5}\)
\(6a=\sqrt{3x}\)

A. 15

B. 20

C. 45

D. 60

39- The surface area of a cylinder is 130π \(cm^2\). If its height is 8 \(cm\), what is the radius of the cylinder?

A. 5 cm

B. 7 cm

C. 13 cm

D. 15 cm

40- In 1875, the average worker’s income increased by $1,200 per year, starting from a $14,400 annual salary. Which equation represents income greater than average? (\(I =\) income, \(x =\) number of years after 1875)

A. \(I > 1,200 x + 14,400\)

B. \(I > – 1,200 x + 14,400\)

C. \(I < -1,200 x + 14,400\)

D. \(I < 1,200 x – 14,400\)

41- If the function \(g(x)\) has four distinct zeros, which of the following could represent the graph of \(g(x)\)?

A.

B.

C.

D.

42- If \(30\%\) of \(x\) equal to \(45\%\) of 24, then what is the value of \((x-6)^2\)?

A. 625

B. 793

C. 842

D. 900

43- A rope weighs 600 grams per meter in length. What is the weight in kilograms of 14.6 meters of this rope? (1 kilograms = 1000 grams)

A. 0.0876

B. 0.876

C. 8.76

D. 87.60

44- If \(y=5a^2 b-3ab^3\), what is \(y\) when \(a = 2\) and \(b = -1\)?

A. \(-16\)

B. \(-14\)

C. \(14\)

D. \(16\)

45- A boat sails 36 miles south and then 77 miles east. How far is the boat from its start point?

A. 65 miles

B. 79 miles

C. 85 miles

D. 91 miles

46- For what real value of \(x\) is the equation below true?
\(x^3-7x^2+4x-28=0\)

A. 3

B. 5

C. 7

D. 9

47- If \(f(x)=7^x\) and \(g(x)=\log_{7}{x}\), which of the following expressions is equal to \(f(7g(p))\)?

A. \(7P\)

B. \(7^p\)

C. \(p^7\)

D. \(p^{-7}\)

48- The cost of using a car is $0.98 per minute. Which of the following equations represents the total cost c, in dollars, for h hours of using the car?

A. \(c=\frac{60h}{0.98}\)

B. \(c=\frac{0.98}{60h}\)

C. \(c=0.98 (60h)\)

D. \(c=60h+0.98\)

49- Mary’s average score after 3 tests is 90. What score on the 4th test would bring Mary’s average up to exactly 92?

A. 95

B. 96

C. 97

D. 98

50- The equation \(x^2=24-5x\) has how many distinct real solutions?

A. 0

B. 1

C. 2

D. 3

51- In the following equation when \(z\) is divided by 2, what is the effect on \(x\)?
\(x=\frac{8y+\frac{r}{r+1}}{\frac{6}{z}}\)

A. \(x\) is divided by 2

B. \(x\) is divided by 4

C. \(x\) does not change

D. \(x\) is multiplied by 2

52- If \(f(x)=x^3-4x^2+3x-6\) and \(g(x)=3\), what is the value of \(f(g(x))\)?

A. \(-8\)

B. \(-6\)

C. \(6\)

D. \(8\)

53- \(a\) is \(b\%\) of what number?

A. \(\frac{100a}{b}\)

B. \(\frac{100b}{a}\)

C. \(\frac{a}{100b}\)

D. \(\frac{b}{100a}\)

54- In the \(xy\)-plane, the line determined by the points (7, m) and (m, 14) passes through the origin. Which of the following could be the value of m?

A. \(\sqrt{2}\)

B. \(\sqrt{7}\)

C. \(2\sqrt{7}\)

D. \(7\sqrt{2}\)

55- A function \(g(5)=7\) and \(g(8)=6\). A function \(f(7)=3\) and \(f(6)=4\). What is the value of \(f(g(8))\)?

A. 3

B. 4

C. 6

D. 7

56- Which of the following points lies on the line \(3x-2y=12\)?

A. \((-1, 2)\)

B. \((1, 3)\)

C. \((2, -3)\)

D. \((2, 2)\)

57- Point A lies on the line with equation \(3y+3=6(x-4)\). If the \(x\)-coordinate of A is 7, what is the \(y\)-coordinate of A?

A. 3

B. 5

C. 7

D. 9

58- If \(|a|<1\), then which of the following is true? (\(b>0\))?
I. \(-b<ba <b\)
II. \(-a<a^2<a\) if \(a<0\)
III. \(-5<4a-3<7\)

A. I only

B. III only

C. I and III only

D. I, II, and III

59- \(\frac{c-d}{c}=a\)
In the equation above, if \(c\) is negative and \(d\) is positive, which of the following must be true?

A. \(a<1\)

B. \(a=0\)

C. \(a>1\)

D. \(a<-1\)

60- If \(f(x)=2x^2-5x+1\) and \(g(x)=-3x^2-6x+4\), then find \((f-g)(x)\)?

A. \(-x^2+x-1\)

B. \(x^2-x+1\)

C. \(-5x^2-x+3\)

D. \(5x^2+x-3\)

The Best Books to Ace the CLEP College Mathematics Test

Answers and Explanations

Recommended EffortlessMath Books

For a workbook to pair with this practice test, the CLEP College Mathematics for Beginners walks through every CLEP topic with worked examples. For full credit-by-exam prep with multiple timed practice tests, see the CLEP College Mathematics Test Prep Bundle.

Frequently Asked Questions

How many questions are on the CLEP College Math?

60 multiple-choice questions in a 90-minute time window. That’s exactly 1 minute 30 seconds per question. Most questions are standard four-choice multiple-choice; a few involve using the on-screen graphing calculator for computation or basic graphing.

Is a calculator allowed?

Yes — the on-screen graphing calculator built into the test interface. You cannot bring your own calculator. The on-screen tool has full scientific and graphing functionality (similar to a TI-84). Practice with the official CLEP practice calculator before test day so the layout feels familiar.

What’s a passing CLEP College Math score?

The ACE-recommended passing score is 50 on the 20-80 scaled scoring range. Most participating colleges accept 50 and award 3 credits. Some accept lower scores; some require 60+. Check your specific institution’s CLEP policy before taking the exam.

What topics are on the CLEP College Math?

Algebra and functions (~20%), counting and probability (~10%), data analysis and statistics (~15%), financial mathematics (~20%), geometry (~10%), logic and sets (~15%), and numbers (~10%). No calculus, no trigonometry, no advanced algebra — this is general-education math for non-STEM majors.

How long is the full test?

90 minutes of testing time. Allow 30-45 additional minutes for check-in and post-test survey at the test center. Plan on about 2.5 hours from arrival to departure on test day.

Is the CLEP College Math computer-adaptive?

No. The CLEP College Math is fixed-form — every test-taker sees a comparable set of 60 questions at a similar difficulty distribution. You can flag questions and return to them within the 90-minute window.

How does this compare to CLEP College Algebra?

CLEP College Math is broader and shallower, designed as a general-ed math credit for non-STEM majors. CLEP College Algebra is narrower and deeper, designed as a prerequisite credit for college algebra (often required for STEM, business, or pre-professional tracks). They’re separate exams with separate study guides.

Can I retake the CLEP College Math?

Yes, after a 3-month waiting period from your previous attempt. There’s no career cap on attempts. Each attempt costs the full exam fee plus any test center sitting fee, so prepare thoroughly before each sitting.

How should I prepare for this practice test?

Take it under realistic conditions: 90 minutes, on-screen calculator only (or any scientific calculator if you don’t have the CLEP practice calculator), no breaks beyond a quick stretch. After you finish, review every missed question and identify the topic. Spend the next 2-4 weeks drilling those topics before taking another full-length practice test.

Where can I find more CLEP College Math practice?

EffortlessMath has the CLEP College Math Formula Cheat Sheet, the Top 10 CLEP College Math practice questions, the CLEP College Mathematics for Beginners workbook covering every topic, and the CLEP College Math Test Prep Bundle with multiple timed practice tests.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• CLEP College Math Formula Cheat Sheet
• Top 10 CLEP College Math practice questions
• All free CLEP College Math practice tests
• How to find the slope of a line
• How to use the Pythagorean theorem