PAPA Mathematics Skills & Reasoning 3

Question 1

The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many students are in the class total?

Accepted Answer

64

Answer

If 3 parts = 24, then 1 part = 8; total parts = 8, so total students = 8 × 8 = 64.

Question 2

Solve for x: 3(x − 4) = 2x + 5

Accepted Answer

x = 17

Answer

3x − 12 = 2x + 5 → x = 17.

Question 3

A data set has values: 4, 7, 7, 9, 13. What is the mean?

Accepted Answer

8

Answer

Mean = (4 + 7 + 7 + 9 + 13) ÷ 5 = 40 ÷ 5 = 8.

Question 4

What is 15% of 360?

Accepted Answer

54

Answer

15% × 360 = 0.15 × 360 = 54.

Question 5

Which inequality represents 'five less than twice a number is at most 11'?

Accepted Answer

2n − 5 ≤ 11

Answer

'Twice a number' is 2n, 'five less than' that is 2n − 5, and 'at most 11' means ≤ 11.

(PAPA) Pre-service Academic Performance Assessment Practice Test