CHSPE Mathematics 5 — Questions and Answers
Question 1: If 3 workers can complete a job in 8 days, how many days will it take 6 workers to complete the same job?
- 2 days
- 4 days (Correct answer)
- 6 days
- 12 days
Correct answer: 4 days
Total work = 3 × 8 = 24 worker-days; 24 ÷ 6 = 4 days.
Question 2: Which inequality is represented by the solution set x ≥ −2?
- 2x + 3 < 7
- 3x − 1 ≥ −7 (Correct answer)
- x + 5 > 3
- −x ≤ −2
Correct answer: 3x − 1 ≥ −7
3x − 1 ≥ −7 → 3x ≥ −6 → x ≥ −2.
Question 3: A square has an area of 169 cm². What is the length of one side?
- 11 cm
- 12 cm
- 13 cm (Correct answer)
- 14 cm
Correct answer: 13 cm
Side = √169 = 13 cm.
Question 4: A student scored 82, 90, 74, and 88 on four tests. What score is needed on the fifth test to have a mean of 85?
- 89
- 91 (Correct answer)
- 93
- 95
Correct answer: 91
Target total = 85 × 5 = 425; current total = 334; 425 − 334 = 91.
Question 5: In a right triangle, one leg is 8 cm and the hypotenuse is 17 cm. What is the other leg?
- 9 cm
- 12 cm
- 15 cm (Correct answer)
- 18 cm
Correct answer: 15 cm
Using the Pythagorean theorem: b = √(17² − 8²) = √(289 − 64) = √225 = 15 cm.
Question 6: What is 15% of 240?
- 30
- 36 (Correct answer)
- 42
- 45
Correct answer: 36
15% × 240 = 0.15 × 240 = 36.
Question 7: Which of the following represents a function?
- A circle centered at the origin
- {(1,2),(1,3),(2,4)}
- {(2,5),(3,5),(4,5)} (Correct answer)
- x = 4
Correct answer: {(2,5),(3,5),(4,5)}
A function requires each x-value to map to exactly one y-value; {(2,5),(3,5),(4,5)} satisfies this.
CHSPE Mathematics 5
If 3 workers can complete a job in 8 days, how many days will it take 6 workers to complete the same job?