PAPA Mathematics Skills & Reasoning 2

Question 1

A school library has 1,240 books. If 35% are fiction, how many non-fiction books are there?

Accepted Answer

806

Answer

65% of 1,240 = 0.65 × 1,240 = 806 non-fiction books.

Question 2

Simplify: (3x² − 5x + 2) − (x² − 3x − 4)

Accepted Answer

2x² − 2x + 6

Answer

Distributing the subtraction: 3x² − x² = 2x², −5x + 3x = −2x, 2 + 4 = 6, giving 2x² − 2x + 6.

Question 3

A car travels 270 miles in 4.5 hours. What is its average speed in miles per hour?

Accepted Answer

60 mph

Answer

Speed = distance ÷ time = 270 ÷ 4.5 = 60 mph.

Question 4

What is the value of |−15| + |8| − |−3|?

Accepted Answer

20

Answer

Absolute values: 15 + 8 − 3 = 20.

Question 5

If f(x) = 2x² − 4x + 1, what is f(3)?

Accepted Answer

7

Answer

f(3) = 2(9) − 4(3) + 1 = 18 − 12 + 1 = 7.

(PAPA) Pre-service Academic Performance Assessment Practice Test