PAPA Mathematics Skills & Reasoning 5

Question 1

A student scored 78, 85, 91, and 72 on four tests. What score is needed on a fifth test to achieve an average of 84?

Accepted Answer

94

Answer

Required total = 84 × 5 = 420; sum of four scores = 326; fifth score = 420 − 326 = 94.

Question 2

Which of the following correctly applies the distributive property to 7(3x − 4)?

Accepted Answer

21x − 28

Answer

7 × 3x = 21x and 7 × (−4) = −28, giving 21x − 28.

Question 3

What is the least common multiple (LCM) of 8 and 12?

Accepted Answer

24

Answer

Multiples of 8: 8, 16, 24; multiples of 12: 12, 24; the LCM is 24.

Question 4

The graph of y = −2x + 6 crosses the y-axis at which point?

Accepted Answer

(0, 6)

Answer

The y-intercept is the constant term when x = 0, which is (0, 6).

Question 5

A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of drawing a blue marble?

Accepted Answer

3/10

Answer

P(blue) = 3 ÷ (5 + 3 + 2) = 3/10.

(PAPA) Pre-service Academic Performance Assessment Practice Test