CAASPP Mathematics 3 — Questions and Answers
Question 1: Which of the following is the prime factorization of 60?
- 2 × 30
- 2² × 3 × 5 (Correct answer)
- 3 × 4 × 5
- 2 × 3 × 10
Correct answer: 2² × 3 × 5
60 = 4 × 15 = 2² × 3 × 5, which are all prime factors.
Question 2: A triangle has angles measuring 45° and 75°. What is the measure of the third angle?
- 30°
- 60° (Correct answer)
- 90°
- 120°
Correct answer: 60°
The sum of angles in a triangle is 180°, so 180 − 45 − 75 = 60°.
Question 3: If y = 2x − 3 and x = 5, what is the value of y?
- 4
- 7 (Correct answer)
- 10
- 13
Correct answer: 7
Substitute x = 5: y = 2(5) − 3 = 10 − 3 = 7.
Question 4: A car travels 240 miles in 4 hours. What is its average speed in miles per hour?
- 40 mph
- 50 mph
- 60 mph (Correct answer)
- 80 mph
Correct answer: 60 mph
Speed = distance ÷ time = 240 ÷ 4 = 60 mph.
Question 5: What is 15% of 80?
- 10
- 12 (Correct answer)
- 15
- 20
Correct answer: 12
15% of 80 = 0.15 × 80 = 12.
Question 6: Which of the following sets of numbers is ordered from least to greatest?
- −2, −5, 0, 3
- −5, −2, 0, 3 (Correct answer)
- 0, −2, −5, 3
- 3, 0, −2, −5
Correct answer: −5, −2, 0, 3
On a number line, −5 < −2 < 0 < 3, so −5, −2, 0, 3 is correct.
Question 7: A cylinder has a radius of 3 inches and a height of 10 inches. Using π ≈ 3.14, what is the approximate volume?
- 94.2 in³
- 188.4 in³
- 282.6 in³ (Correct answer)
- 565.2 in³
Correct answer: 282.6 in³
V = πr²h = 3.14 × 9 × 10 = 282.6 in³.
CAASPP Mathematics 3
Which of the following is the prime factorization of 60?