Test Prep PRAXIS PRAXIS-MATHEMATICS-SECTION Questions & Answers

• Question 21:

  Albert is driving at 80 miles per hour. How far will he go in 45 minutes?

  A. 60 miles

  B. 45 miles

  C. 80 miles

  D. 180 miles

  E. 90 miles

  Correct Answer: A

  Explanation: 45 minutes is three-quarters of an hour, which can be rewritten as the decimal 0.75. Multiply this decimal by his speed.

• Question 22:

  Solve for x: (7x/5) + 9 = 23

  A. 10

  B. 9

  C. 11

  D. 7

  E. 8

  Correct Answer: A

  Explanation: In order to find x, you must subtract 9 from 23, then multiply the difference by 5, and finally divide the product by 7.

• Question 23:

  A number is multiplied by 6 and then has 4 subtracted from it. The answer is 14. Which of the following equations matches these statements?

  A. 14 = 4 - 6x

  B. 4x – 6 = 14

  C. 6x – 4 = 14

  D. 6(x – 4) = 14

  E. -6x = -14

  Correct Answer: C

  Explanation: In this equation, the order of operations will dictate that the multiplication takes place before the subtraction.

• Question 24:

  John's sock drawer contains 4 pairs of green socks, 7 pairs of black socks, and 7 pairs of red socks. If

  John reaches into the drawer at random, what are his chances of NOT selecting a pair of green socks?

  A. 1/3

  B. 7/9

  C. 2/5

  D. 10/18

  E. 3/4

  Correct Answer: B

  Explanation: 14 of the 18 pairs of socks are not green; the fraction 14/18 can be simplified as 7/9.

• Question 25:

  Randy got the following test scores in science class: 76, 98, 78, 80, and 54. What is the median test score?

  A. 77

  B. 98

  C. 54

  D. 84

  E. 78

  Correct Answer: E

  Explanation: The median is the piece of data that is in the middle position when the entire set is placed in order from least to greatest.

• Question 26:

  If a recipe for cookies calls for ¾ of a cup of sugar, and you want to quadruple the recipe, how many cups of sugar will you need?

  A. 3 cups

  B. 4 cups

  C. 2 ¾ cups

  D. 3 ½ cups

  E. 3 ¾ cups

  Correct Answer: A

  Explanation: The fraction ?is equivalent to the decimal 0.75. Multiply this decimal by 4.

• Question 27:

  Which of the following numbers has the greatest absolute value: 17, -9, 15.5, -20, 19?

  A. -20

  B. 19

  C. 15.5

  D. - 9

  E. 12

  Correct Answer: A

  Explanation: Absolute value is the number of integers away from zero, so the absolute value of -20 is greater than the absolute value of 19 by one unit.

• Question 28:

  Written in scientific notation, the number 173,000,000,000 is:

  A. 17.3 x 1010

  B. 173 x 109

  C. 1.73 x 1011

  D. 1.73 x 1010

  E. 172 x 1012

  Correct Answer: C

  Explanation: Place a decimal point at the end of the number and then move it eleven places to the left, until it creates a number between one and ten.

• Question 29:

  If John scores 20% of his team's points in a basketball game, how many points does the team score if John scores 14 points?

  A. 66

  B. 74

  C. 72

  D. 68

  E. 70

  Correct Answer: E

  Explanation: 20% is one-fifth, so multiply John's point total by 5.

• Question 30:

  3/8 + 1/3 + 1/8 =

  A. 5/6

  B. 3/4

  C. 1/2

  D. 3/5

  E. 2/5

  Correct Answer: A

  Explanation: Convert the fractions so that they have a common denominator of 24.