# Full-Length CLEP College Mathematics Practice Test

Taking a Full-length CLEP College Mathematics practice test is the best way to help you get familiar with the test format and feel more confident. Not only will this help you measure your exam readiness and solidify the concepts you’ve learned, but it is the best way to simulate test day.
To help you get the best out of this complete and realistic CLEP College Mathematics practice test and prepare your mind and body for the actual test, we recommend that you treat this practice test as a real test. Prepare scratch papers, pencil, a timer, and a calculator and take the test in one sitting and follow the time limits to the minute.
Take the following full-length CLEP College Mathematics practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.
Good luck!

## The Absolute Best Book to Ace the CLEP College Mathematics Test

Time to refine your Math skill with a practice test

Take practice CLEP College Mathematics Tests to simulate the test day experience. After you’ve

Before You Start

• You’ll need a pencil, a calculator and a timer to take the test.
• For each question, there are four possible answers. Choose which one is best.
• It’s okay to guess. There is no penalty for wrong answers.
• After you’ve finished the test, review the answer key to see where you went wrong.

Good Luck!

## CLEP College Mathematics Practice Test

60 questions
Total time for this section: 90 Minutes
You can use a scientific calculator on this test.

1- What is the equation of the graph?

☐A. $$x^2+6x+5$$

☐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 of 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 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 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–miles 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 dollar. Its price decreased by $$15\%$$ in January and later increased by $$20\%$$ in February. What is the final price of the computer in D dollar?

☐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 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 as that of Ava. If the score of Mia was 30, what is the score of 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 point (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 is 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 of 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 $1,200 per year starting from$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 of 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 minutes. 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. $$5x^2+x-3$$

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