By Carla Kirkland, Chan Cleveland

The Praxis Core will test your general math knowledge. You are not expected to be a math genius, but you should definitely come prepared. Make sure you know key math formulas and have prepared by taking practice exams.

Sample Questions

  1. A hat contains four red marbles, two blue marbles, seven green marbles, and one orange marble. If two marbles are picked out of the hat randomly, what is the probability that one will be orange and one will be blue?

    • (A) 98 percent

    • (B) 1/98

    • (C) 3/14

    • (D) 1/7

    • (E) 3 percent

  2. What is the value of 5 + 7 + (–6) – 5 + 22?

    • (A) 33

    • (B) 35

    • (C) 23

    • (D) 45

    • (E) –45

  3. In the following proportion, what is the value of x?

    image0.jpg

    • (A) 33

    • (B) 96

    • (C) 4

    • (D) 3

    • (E) 1/2

  4. For the following right triangle, what is the value of j?

    image1.jpg

    • (A) 65

    • (B) 32

    • (C) 9,409

    • (D) 72

    • (E) 5,184

  5. What is the median of the following set of data?

    image2.jpg

    • (A) 127.5

    • (B) 447.5

    • (C) 37

    • (D) 858

    • (E) 260.5

  6. The following two preceding rectangles are similar. What is the value of q?

    image3.jpg

    • (A) 2.5

    • (B) 5/2

    • (C) 10

    • (D) –11

    • (E) 11

  7. If 7k – 2k + 28 = 10k + 3, what is the value of –8k – 17?

    • (A) –5

    • (B) –57

    • (C) 10

    • (D) 5

    • (E) 57

  8. If x is 20 less than y and y is 14 more than z, how much greater than x is z?

    • (A) –6

    • (B) –34

    • (C) 34

    • (D) 6

    • (E) 40

  9. If a coin is flipped four times, what is the probability that it will land on heads all four times?

    • (A) 1/16

    • (B) 1/2

    • (C) 1/8

    • (D) 1/4

    • (E) 1/1

  10. During the 2013–2014 baseball season, Mark hit the ball 48 out of 60 times he was up at bat. What percentage did Mark strike out?

    • (A) 80 percent

    • (B) 20 percent

    • (C) 50 percent

    • (D) 30 percent

    • (E) 60 percent

  11. In the following diagram, what is the value of w?

    image4.jpg

    • (A) 94

    • (B) 86

    • (C) 46

    • (D) 100

    • (E) 40

  12. What is the range of the following set of data?

    image5.jpg

    • (A) 101

    • (B) 2

    • (C) 100

    • (D) 9

    • (E) 99

  13. A circle has an area of 25ð. What is the circumference of the circle?

    • (A) 10π

    • (B) 5

    • (C) 5π

    • (D) 10

    • (E) 25

  14. What is the solution to the following system of equations?

    image6.jpg

    • (A) (0, 0)

    • (B) (4, 7)

    • (C) (11, 15.5)

    • (D) (7, 4)

    • (E) (0, 11)

  15. Ware’s scores in a gymnastics competition were 7, 9, 5, 10, 9, and 4. What is the mode of his set of scores?

    • (A) 4

    • (B) 10

    • (C) 9

    • (D) 8

    • (E) 7.3

Answers

  1. B. 1/98

  2. C. 23

  3. C.4

  4. D. 72

  5. A. 127.5

  6. C. 10

  7. B. –57

  8. D.6

  9. A. 1/16

  10. B. 20 percent

  11. A. 94

  12. E. 99

  13. A. 10ð

  14. B. (4, 7)

  15. C. 9