GMAS Mathematics Content Areas 3 — Questions and Answers
Question 1: What is the perimeter of a square with a side length of 9 inches?
- 18 inches
- 27 inches
- 36 inches (Correct answer)
- 81 inches
Correct answer: 36 inches
Perimeter of a square = 4 × side = 4 × 9 = 36 inches.
Question 2: Which inequality represents 'x is at least 7'?
- x < 7
- x > 7
- x ≤ 7
- x ≥ 7 (Correct answer)
Correct answer: x ≥ 7
'At least 7' means x can equal 7 or be greater, so x ≥ 7.
Question 3: A car travels 180 miles in 3 hours. What is its average speed in miles per hour?
- 45 mph
- 54 mph
- 60 mph (Correct answer)
- 75 mph
Correct answer: 60 mph
Speed = distance ÷ time = 180 ÷ 3 = 60 mph.
Question 4: 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 5: Solve for y: 3y - 9 = 15
- y = 2
- y = 4
- y = 6
- y = 8 (Correct answer)
Correct answer: y = 8
3y = 15 + 9 = 24, so y = 24 ÷ 3 = 8.
Question 6: A cylinder has a radius of 5 cm and a height of 10 cm. Using π ≈ 3.14, what is its volume?
- 157 cm³
- 314 cm³
- 785 cm³ (Correct answer)
- 1570 cm³
Correct answer: 785 cm³
Volume = π × r² × h = 3.14 × 25 × 10 = 785 cm³.
Question 7: Which number is irrational?
- √16
- √25
- √36
- √50 (Correct answer)
Correct answer: √50
√50 cannot be expressed as a simple fraction; √16=4, √25=5, √36=6 are all rational.
GMAS Mathematics Content Areas 3
What is the perimeter of a square with a side length of 9 inches?