CHSPE Mathematics 5

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?

Accepted Answer

4 days

Answer

Total work = 3 × 8 = 24 worker-days; 24 ÷ 6 = 4 days.

Question 2

Which inequality is represented by the solution set x ≥ −2?

Accepted Answer

3x − 1 ≥ −7

Answer

3x − 1 ≥ −7 → 3x ≥ −6 → x ≥ −2.

Question 3

A square has an area of 169 cm². What is the length of one side?

Accepted Answer

13 cm

Answer

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?

Accepted Answer

91

Answer

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?

Accepted Answer

15 cm

Answer

Using the Pythagorean theorem: b = √(17² − 8²) = √(289 − 64) = √225 = 15 cm.

California High School Proficiency Exam Practice Test