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CLEP College Mathematics Practice Test

10 free sample questions with answers and explanations. See how you'd score on the real CLEP exam.

Question 1Unit 1: Logic & Sets

A length of 15 kilometers is equivalent to how many meters?

A
A) 15000 m
B
B) 1500 m
C
C) 150 m
D
D) 15 m

Explanation

15000 is correct because since 1 kilometer equals 1000 meters, then 15 kilometers equals 15 * 1000 = 15000 meters.

Question 2Unit 1: Logic & Sets

What is the absolute value of -25?

A
A) -25
B
B) 25
C
C) 0
D
D) -1

Explanation

25 is correct because the absolute value of a number is its distance from zero, regardless of direction, so |-25| = 25.

Question 3Unit 1: Logic & Sets

What is the value of 4.2 * 10^3 in standard notation?

A
A) 4200
B
B) 420
C
C) 42
D
D) 4.2

Explanation

4200 is correct because the exponent 3 means the decimal point is moved 3 places to the right, resulting in 4200.

Question 4Unit 1: Logic & Sets

A car travels 2500 meters in 1 minute. What is the speed in kilometers per hour?

A
A) 150 km/h
B
B) 100 km/h
C
C) 90 km/h
D
D) 60 km/h

Explanation

150 is correct because 2500 meters equals 2.5 kilometers, and since there are 60 minutes in an hour, the speed is 2.5 km/min * 60 min/h = 150 km/h.

Question 5Unit 1: Logic & Sets

Which of the following statements is true about the number 0.1010010001...?

A
A) It is rational
B
B) It is irrational
C
C) It is an integer
D
D) It is a natural number

Explanation

Irrational is correct because the given number 0.1010010001... has a non-repeating pattern, which means it cannot be expressed as a finite decimal or fraction.

Question 6Unit 1: Logic & Sets

What type of number is π?

A
A) Rational
B
B) Irrational
C
C) Integer
D
D) Natural number

Explanation

Irrational is correct because π cannot be expressed as a finite decimal or fraction, since its decimal representation goes on indefinitely in a seemingly random pattern.

Question 7Unit 1: Logic & Sets

Given sets A = {x | x > 3} and B = {x | x < 5}, what is their intersection?

A
A) {x | x < 3}
B
B) {x | x > 5}
C
C) {x | x > 0}
D
D) {x | 3 < x < 5}

Explanation

{x | 3 < x < 5} is correct because the intersection of two sets includes only the elements that satisfy both conditions, which in this case is x being greater than 3 and less than 5.

Question 8Unit 1: Logic & Sets

If U = {1, 2, 3, 4, 5} and A = {1, 2, 3}, what is the complement of A?

A
A) {1, 2, 3}
B
B) {4, 5}
C
C) {1, 2, 3, 4, 5}
D
D) {}

Explanation

{4, 5} is correct because the complement of a set includes all elements in the universal set that are not in the given set.

Question 9Unit 1: Logic & Sets

Given sets A = {1, 2, 3} and B = {3, 4, 5}, what is their intersection?

A
A) {1, 2, 3, 4, 5}
B
B) {1, 2}
C
C) {3}
D
D) {4, 5}

Explanation

{3} is correct because the intersection of two sets includes only the elements that are common to both sets.

Question 10Unit 1: Logic & Sets

What is the union of sets A = {1, 2, 3} and B = {3, 4, 5}?

A
A) {1, 2, 3, 4, 5}
B
B) {1, 2, 3}
C
C) {3, 4, 5}
D
D) {3}

Explanation

{1, 2, 3, 4, 5} is correct because the union of two sets includes all elements from both sets, without duplicates.

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