CHSPE CHSPE Math 4

Question 1

A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of randomly picking a blue marble?

Accepted Answer

1/4

Answer

Total = 12 marbles; P(blue) = 3/12 = 1/4.

Question 2

If y = 3x² and x = −2, what is y?

Accepted Answer

12

Answer

y = 3(−2)² = 3(4) = 12; squaring a negative gives a positive.

Question 3

What is the greatest common factor (GCF) of 36 and 48?

Accepted Answer

12

Answer

Factors of 36: 1,2,3,4,6,9,12,18,36; Factors of 48: 1,2,3,4,6,8,12,16,24,48; GCF = 12.

Question 4

A circle has a radius of 5 cm. What is its circumference? (Use π ≈ 3.14)

Accepted Answer

31.40 cm

Answer

C = 2πr = 2 × 3.14 × 5 = 31.40 cm.

Question 5

Which property is illustrated by: 5(3 + 7) = 5(3) + 5(7)?

Accepted Answer

Distributive property

Answer

Multiplying a number by a sum equals multiplying each addend separately — this is the distributive property.

California High School Proficiency Exam Practice Test