NAEP Mathematics Grade 5 — Questions and Answers
Question 1: What is the greatest common factor (GCF) of 24 and 36?
- 6
- 8
- 12 (Correct answer)
- 18
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 2: A scale drawing uses a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?
- 150 miles
- 175 miles (Correct answer)
- 200 miles
- 125 miles
Correct answer: 175 miles
3.5 × 50 = 175 miles.
Question 3: Which inequality represents 'a number n is at most 15'?
- n > 15
- n < 15
- n ≥ 15
- n ≤ 15 (Correct answer)
Correct answer: n ≤ 15
'At most 15' means n can equal 15 or be less, so n ≤ 15.
Question 4: A shirt costs $40 and is on sale for 25% off. What is the sale price?
- $25
- $28
- $30 (Correct answer)
- $32
Correct answer: $30
Discount = 25% × $40 = $10; sale price = $40 − $10 = $30.
Question 5: What is the value of −3 × (−4) + (−2)?
- 10 (Correct answer)
- 14
- −14
- −10
Correct answer: 10
−3 × (−4) = 12, then 12 + (−2) = 10.
Question 6: The ratio of boys to girls in a class is 3:4. If there are 28 students total, how many are boys?
- 12 (Correct answer)
- 16
- 14
- 10
Correct answer: 12
Total ratio parts = 3 + 4 = 7; boys = (3/7) × 28 = 12.
Question 7: Which graph shape would best represent the relationship between the number of items purchased and the total cost at a constant price per item?
- A curve that decreases
- A horizontal line
- A straight line through the origin (Correct answer)
- A zigzag line
Correct answer: A straight line through the origin
A constant price per item creates a proportional relationship, shown as a straight line through the origin.
NAEP Mathematics Grade 5
What is the greatest common factor (GCF) of 24 and 36?