Praxis Core Math Sample Questions
Many test takers complain that the math section of the Praxis Core is the most intimidating. However, if you prepare and know a few key formulas, test day won’t be an issue for you.
Sample Questions

Which of the following numbers is a counterexample to the preceding statement?

(A) 65

(B) 37

(C) 17

(D 101

(E) 2


What is the greatest common factor of 42 and 28?

(A) 1

(B) 21

(C) 2

(D) 7

(E) 14


If 3x – 7 = 17, then what is the value of –8x + 21?

(A) 115

(B) –3

(C) 85

(D) –85

(E) –43


The following pyramid has a square base, a height of 9 cm, and a volume of 432 cm^{3}. What is the surface area of the pyramid rounded to the nearest whole number?

(A) 108 cm^{3}

(B) 135 cm^{3}

(C) 2,808 cm^{3}

(D) 260 cm^{3}

(E) 520 cm^{3}


Which statement about the following set of data is false?

(A) The mean is greater than the median.

(B) The median is greater than the mean.

(C) The mean is greater than the mode.

(D) The mode is less than the median.

(E) The mean and the median are greater than the mode.


Why is the following relation NOT a function?

(A) The range element –2 is followed by a domain element 1 greater than itself in the next ordered pair.

(B) 3 is paired with its square.

(C) 3 is an element of both the domain and range.

(D) The range element 9 is paired with two domain elements.

(E) The domain element –1 is paired with two range elements.


What is the perimeter of the following right triangle?

(A) 186 miles

(B) 30 miles

(C) 338 miles

(D) 12 miles

(E) 60 miles


What is the product of 2, –1, 4, –3, and 6?

(A) 12

(B) 144

(C) –144

(D) 24

(E) –48


Which number is not represented in the following stemandleaf plot?

(A) 30

(B) 23

(C) 60

(D) 51

(E) 45


27 is 75 percent of what number?

(A) 36

(B) 20.25

(C) 277.7

(D) 0.36

(E) 2.025


If the following quadrilateral is translated 7 units up and 4 units left, what will be the coordinates of the new vertices?

(A) (3, –3), (5, 3), (–6, –4), and (–6, 5)

(B) (–10, 1), (–12, 7), (–1, 0), (–1, 9)

(C) (7, 4), ( 9, 10), (–2, 3), and (–2, 12)

(D) (–7, 4), (–9, 10), (2, 3), and (2, 12)

(E) (4, –7), (10, –9), (3, 2), and (12, 2)


If Adam eats 1/4 of a pie and Wade eats half as much of the pie as Adam eats, what fraction of the pie does Wade eat?

(A) 1/4

(B) 1/8

(C) 3/4

(D) 1/16

(E) 1/6


If 3q + 5 = 35, what is the value of q?

(A) 40/3

(B) 30

(C) 35

(D) 1/16

(E) 10


The following table shows the percentages of categories chosen, in terms of national origin, as favorites in a poll of members of a volunteer service organization. If 500 members were polled, how many more members chose Mexican than Greek and Japanese combined?

(A) 10

(B) 2

(C) 4

(D) 24

(E) 120


A polling company plans to poll workers of a large corporation on an issue not concerning the corporation. Which of the following methods would most likely involve polling an unbiased sample?

(A) Asking the president of the company questions and using his answers to represent the company

(B) Asking questions of every tenth worker who walks through the main entrance for work

(C) Polling every third cafeteria worker who enters the cafeteria for work

(D) Asking people questions as they stand in the lobby awaiting an executive meeting

(E) Conducting interviews of people who work in the mailroom

Answers

A. 65

E. 14

E. –43

D. 260 cm^{3}

A. The mean is greater than the median.

E. The domain element –1 is paired with two range elements.

B. 30 miles

B. 144

C. 60

A. 36

D. (–7, 4), (–9, 10), (2, 3), and (2, 12)

B. 1/8

E. 10

A. 10

B. Asking questions of every tenth worker who walks through the main entrance for work