CHSPE CHSPE Math 4 — Questions and Answers
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?
- 1/4 (Correct answer)
- 1/3
- 1/6
- 3/12
Correct answer: 1/4
Total = 12 marbles; P(blue) = 3/12 = 1/4.
Question 2: If y = 3x² and x = −2, what is y?
- −12
- 12 (Correct answer)
- −36
- 36
Correct answer: 12
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?
- 6
- 8
- 12 (Correct answer)
- 18
Correct answer: 12
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)
- 15.70 cm
- 78.50 cm
- 31.40 cm (Correct answer)
- 25.14 cm
Correct answer: 31.40 cm
C = 2πr = 2 × 3.14 × 5 = 31.40 cm.
Question 5: Which property is illustrated by: 5(3 + 7) = 5(3) + 5(7)?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
Multiplying a number by a sum equals multiplying each addend separately — this is the distributive property.
Question 6: A line segment goes from point (1, 2) to point (5, 8). What is the midpoint?
- (3, 4)
- (2, 3)
- (3, 5) (Correct answer)
- (4, 6)
Correct answer: (3, 5)
Midpoint = ((1+5)/2, (2+8)/2) = (3, 5).
Question 7: A worker earns $12.50 per hour and works 38 hours in a week. What are the total earnings?
- $465.00
- $475.00 (Correct answer)
- $485.00
- $455.00
Correct answer: $475.00
12.50 × 38 = $475.00.
CHSPE CHSPE Math 4
A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles.
What is the probability of randomly picking a blue marble?