PAPA Mathematics Skills & Reasoning 2 — Questions and Answers
Question 1: A school library has 1,240 books. If 35% are fiction, how many non-fiction books are there?
- 434
- 806 (Correct answer)
- 434
- 434
Correct answer: 806
65% of 1,240 = 0.65 × 1,240 = 806 non-fiction books.
Question 2: Simplify: (3x² − 5x + 2) − (x² − 3x − 4)
- 2x² − 2x − 2
- 2x² − 8x + 6
- 2x² − 2x + 6 (Correct answer)
- 4x² − 8x − 2
Correct answer: 2x² − 2x + 6
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?
- 55 mph
- 60 mph (Correct answer)
- 65 mph
- 70 mph
Correct answer: 60 mph
Speed = distance ÷ time = 270 ÷ 4.5 = 60 mph.
Question 4: What is the value of |−15| + |8| − |−3|?
- −10
- 20 (Correct answer)
- 26
- −26
Correct answer: 20
Absolute values: 15 + 8 − 3 = 20.
Question 5: If f(x) = 2x² − 4x + 1, what is f(3)?
- 7 (Correct answer)
- 10
- 13
- 19
Correct answer: 7
f(3) = 2(9) − 4(3) + 1 = 18 − 12 + 1 = 7.
Question 6: A rectangle has a perimeter of 56 cm and a length of 18 cm. What is its width?
- 10 cm (Correct answer)
- 19 cm
- 38 cm
- 20 cm
Correct answer: 10 cm
Perimeter = 2(l + w): 56 = 2(18 + w) → w = 28 − 18 = 10 cm.
Question 7: Which of the following is equivalent to 2⁻³?
- −8
- −6
- 1/8 (Correct answer)
- 1/6
Correct answer: 1/8
A negative exponent means the reciprocal: 2⁻³ = 1/2³ = 1/8.
PAPA Mathematics Skills & Reasoning 2
A school library has 1,240 books.
If 35% are fiction, how many non-fiction books are there?