NWEA Math 5 — Questions and Answers
Question 1: A circle has a radius of 6. What is its approximate circumference? (Use π ≈ 3.14)
- 18.84
- 28.26
- 37.68 (Correct answer)
- 113.04
Correct answer: 37.68
Circumference = 2πr = 2 × 3.14 × 6 = 37.68.
Question 2: Which property is shown by: 7 × (3 + 4) = 7 × 3 + 7 × 4?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
The distributive property states a(b + c) = ab + ac.
Question 3: What is the greatest common factor (GCF) of 24 and 36?
- 4
- 6
- 12 (Correct answer)
- 72
Correct answer: 12
Factors of 24: 1,2,3,4,6,8,12,24; Factors of 36: 1,2,3,4,6,9,12,18,36; GCF = 12.
Question 4: If a set of test scores is 70, 80, 85, 90, 95, what is the mean score?
- 82
- 84 (Correct answer)
- 85
- 86
Correct answer: 84
Sum = 420; mean = 420 ÷ 5 = 84.
Question 5: A scale drawing uses 1 inch = 20 feet. If a room measures 3.5 inches on the drawing, how long is the actual room?
- 35 feet
- 60 feet
- 70 feet (Correct answer)
- 75 feet
Correct answer: 70 feet
Actual length = 3.5 × 20 = 70 feet.
Question 6: Which inequality is represented by: a number is at least 15?
- n < 15
- n ≤ 15
- n > 15
- n ≥ 15 (Correct answer)
Correct answer: n ≥ 15
'At least 15' means 15 or more, which is represented by n ≥ 15.
Question 7: What is the slope of a line passing through the points (2, 3) and (6, 11)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.
A circle has a radius of 6.
What is its approximate circumference? (Use π ≈ 3.14)