Pre-Professional Skills Test (PPST) - Mathematics Section v1.0

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Exam contains 46 questions

If Edgar eats 8 2/3 doughnuts in a week and Ellen eats 4 ֲ½ doughnuts in a week, how many more doughnuts will Edgar have eaten?

  • A. 3 1/5
  • B. 4 1/6
  • C. 4 1/2
  • D. 4
  • E. 4 3/4


Answer : B

Explanation: Convert the fractions to the lowest common denominator, sixths, before you subtract.

If Isaac scored 16 points in the first half of a basketball game and half as many in the second half, how many did he score in the game in all?

  • A. 16
  • B. 20
  • C. 22
  • D. 24
  • E. 28


Answer : D

Explanation: Divide 16 by 2 and add 8 to the dividend.

A T-shirt that was selling for $24 has had its price reduced by 15%. How much does it cost now?

  • A. $20.75
  • B. $20.40
  • C. $20
  • D. $21
  • E. $21.50


Answer : B

Explanation: Multiply the original price by 0.15, and then subtract this amount from the original price.

If the value of x is between 0.00776 and 0.0506, which of the following numbers could be x?

  • A. 0.008
  • B. 0.890
  • C. 0.0008
  • D. 0.8009
  • E. 0.809


Answer : A

Explanation: When solving this sort of problem, it may help to write the two given numbers so that one is under the other and the decimal points are aligned.

George buys 6 T-shirts for $5 each and 4 pairs of jeans for $8.50 each. He uses the following expression to calculate the total amount of money spent: 6 (5) + 4
(8.5). Which of the following expressions could George also have used?

  • A. 2 (5 + 8.5) + 4 (8.5)
  • B. 4 (5 + 8.5) + 2 (5)
  • C. (4 + 2) + (5 + 8.5)
  • D. 8.5 (2 + 4) + 5 (2 +4)
  • E. 6(4) + 5(8.5)


Answer : B

Explanation: George bought four items at both $5 and $8.5, but he also bought two more items at $5.

Don gets paid $9 an hour, but if he works more than 30 hours in a week his rate of pay is increased by ֲ½. How much would Don get paid for a 38-hour work week?

  • A. $342
  • B. $390
  • C. $367
  • D. $378
  • E. $365


Answer : D

Explanation: The problem can be solved with the following expression: 30 (9) + 8 (9 x 1.5)

What percent of 38 is 16?

  • A. 16%
  • B. 40%
  • C. 35%
  • D. 38%
  • E. 42%


Answer : E

Explanation: Divide 16 by 38 and multiply by 100.

Solve: 3/5 ג€" (-2) =

  • A. - 12/5
  • B. 5/13
  • C. - 13/5
  • D. 13/5
  • E. - 5/13


Answer : D

Explanation: Subtracting a negative number is the same as adding it.

Solve: 3 1/5 x 5 =

  • A. 14
  • B. 15 1/2
  • C. 10 5/15
  • D. 16
  • E. 13


Answer : D

Explanation: Before multiplying, convert the mixed number to an improper fraction.

17/68 =

  • A. 30%
  • B. 1/3
  • C. 45%
  • D. 1/4
  • E. 2/5


Answer : D

Explanation: The simplest form of this fraction can be found by dividing both sides by 17.

The five starters on a basketball team each scored at least 5 points and no more than 17 points in a basketball game. Which of the following values is a reasonable estimate of the average score of each player?

  • A. 6
  • B. 17
  • C. 20
  • D. 22
  • E. 12


Answer : E

Explanation: It is reasonable to assume that the average score will be close to the middle of the range.

Identify the missing term in the following geometric progression: 16, -4, 1, -1/4, ג€¦

  • A. 1/8
  • B. 2/6
  • C. 1/16
  • D. - 2/6
  • E. 1/3


Answer : C

Explanation: Each successive term is found by dividing the previous term by -4.

What is the volume of a rectangular solid that is 8 inches long, 6 inches wide, and 4 inches tall?

  • A. 192 cubic inches
  • B. 184 cubic inches
  • C. 194 square inches
  • D. 192 square inches
  • E. 194 cubic inches


Answer : A

Explanation: Volume is found by multiplying length, width, and height.

Which of the following units of measurement could not be used to report the length of a pencil?

  • A. inches
  • B. centimeters
  • C. millimeters
  • D. liters
  • E. square meters


Answer : D

Explanation: Liters are a unit of volume, not length.

12x ג€" 4x + 8 =

  • A. 16x
  • B. 10x
  • C. x
  • D. 8x + 8
  • E. 20x


Answer : D

Explanation: Remember that unlike terms cannot be combined.

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Exam contains 46 questions

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