PAPA Mathematics Skills & Reasoning 3 — Questions and Answers
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?
- 40
- 56
- 64 (Correct answer)
- 72
Correct answer: 64
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
- x = 17 (Correct answer)
- x = 7
- x = 1
- x = −7
Correct answer: x = 17
3x − 12 = 2x + 5 → x = 17.
Question 3: A data set has values: 4, 7, 7, 9, 13. What is the mean?
- 7
- 8 (Correct answer)
- 9
- 10
Correct answer: 8
Mean = (4 + 7 + 7 + 9 + 13) ÷ 5 = 40 ÷ 5 = 8.
Question 4: What is 15% of 360?
- 48
- 52
- 54 (Correct answer)
- 60
Correct answer: 54
15% × 360 = 0.15 × 360 = 54.
Question 5: Which inequality represents 'five less than twice a number is at most 11'?
- 2n − 5 ≥ 11
- 2n − 5 ≤ 11 (Correct answer)
- 5 − 2n ≤ 11
- 2n + 5 ≤ 11
Correct answer: 2n − 5 ≤ 11
'Twice a number' is 2n, 'five less than' that is 2n − 5, and 'at most 11' means ≤ 11.
Question 6: A triangle has sides of 5, 12, and 13. What type of triangle is it?
- Acute
- Obtuse
- Right (Correct answer)
- Equilateral
Correct answer: Right
Since 5² + 12² = 25 + 144 = 169 = 13², it satisfies the Pythagorean theorem and is a right triangle.
Question 7: Convert 0.004 to a fraction in simplest form.
- 4/100
- 1/250 (Correct answer)
- 2/500
- 4/1000
Correct answer: 1/250
0.004 = 4/1000 = 1/250 after dividing numerator and denominator by 4.
PAPA Mathematics Skills & Reasoning 3
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?