NAEP Mathematics Grade 4 — Questions and Answers
Question 1: A cylinder has a radius of 3 cm and a height of 10 cm. What is its approximate volume? (Use π ≈ 3.14)
- 94.2 cm³
- 282.6 cm³ (Correct answer)
- 188.4 cm³
- 376.8 cm³
Correct answer: 282.6 cm³
Volume = π × r² × h = 3.14 × 9 × 10 = 282.6 cm³.
Question 2: If y = 2x + 3, what is the value of y when x = 5?
- 11
- 10
- 13 (Correct answer)
- 15
Correct answer: 13
y = 2(5) + 3 = 10 + 3 = 13.
Question 3: A student scored 82, 90, 78, and 94 on four tests. What is the mean score?
- 85
- 86
- 88
- 84 (Correct answer)
Correct answer: 84
(82 + 90 + 78 + 94) ÷ 4 = 344 ÷ 4 = 86.
Question 4: Which expression is equivalent to 4(3x − 2)?
- 12x − 2
- 7x − 6
- 12x − 8 (Correct answer)
- 12x + 8
Correct answer: 12x − 8
Apply the distributive property: 4 × 3x − 4 × 2 = 12x − 8.
Question 5: On a coordinate plane, point A is at (2, 5) and point B is at (2, −3). What is the distance between them?
- 5
- 6
- 8 (Correct answer)
- 10
Correct answer: 8
Since the x-coordinates are the same, distance = |5 − (−3)| = |8| = 8.
Question 6: A recipe calls for 2½ cups of sugar. If you want to make 3 batches, how much sugar do you need?
- 6 cups
- 7 cups
- 7½ cups (Correct answer)
- 8 cups
Correct answer: 7½ cups
2½ × 3 = 5/2 × 3 = 15/2 = 7½ cups.
Question 7: A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 11
Correct answer: 10
Using the Pythagorean theorem: √(6² + 8²) = √(36 + 64) = √100 = 10.
NAEP Mathematics Grade 4
A cylinder has a radius of 3 cm and a height of 10 cm.
What is its approximate volume? (Use π ≈ 3.14)