IAR Test 5th Grade Math 1 — Questions and Answers
Question 1: Which expression shows the correct use of parentheses to make the equation true? ___ = 32: 4 × (2 + 6)
- 4 × 2 + 6 = 32
- 4 × (2 + 6) = 32 (Correct answer)
- (4 × 2) + 6 = 14
- 4 + 2 × 6 = 16
Correct answer: 4 × (2 + 6) = 32
Using parentheses first: 2 + 6 = 8, then 4 × 8 = 32, so 4 × (2 + 6) = 32.
Question 2: What is the value of 3.45 × 10²?
- 0.0345
- 34.5
- 345 (Correct answer)
- 3450
Correct answer: 345
Multiplying by 10² moves the decimal point 2 places to the right: 3.45 → 345.
Question 3: What is 2/3 + 3/4?
- 5/7
- 5/12
- 17/12 (Correct answer)
- 6/7
Correct answer: 17/12
Converting to a common denominator of 12: 8/12 + 9/12 = 17/12.
Question 4: A rectangular box is 5 cm long, 3 cm wide, and 4 cm tall. What is its volume?
- 12 cubic cm
- 20 cubic cm
- 47 cubic cm
- 60 cubic cm (Correct answer)
Correct answer: 60 cubic cm
Volume = length × width × height = 5 × 3 × 4 = 60 cubic centimeters.
Question 5: A point is located at (3, 5) on a coordinate plane. Which quadrant is it in?
- Quadrant II
- Quadrant I (Correct answer)
- Quadrant III
- Quadrant IV
Correct answer: Quadrant I
Both coordinates are positive (x=3, y=5), so the point is in Quadrant I.
Question 6: What is 3/5 × 2/7?
- 5/12
- 6/35 (Correct answer)
- 1/2
- 6/12
Correct answer: 6/35
Multiply the numerators (3 × 2 = 6) and the denominators (5 × 7 = 35) to get 6/35.
Question 7: A student measured rainfall over 4 days: 1/4 inch, 1/2 inch, 3/4 inch, and 1/4 inch. What was the total rainfall?
- 1 inch
- 1 3/4 inches (Correct answer)
- 2 inches
- 2 1/4 inches
Correct answer: 1 3/4 inches
1/4 + 2/4 + 3/4 + 1/4 = 7/4 = 1 3/4 inches total.
IAR Test 5th Grade Math 1
Which expression shows the correct use of parentheses to make the equation true? ___ = 32: 4 × (2 + 6)