WVGSA Mathematics 4 — Questions and Answers
Question 1: Which of the following is an example of an irrational number?
- 0.75
- −6
- √7 (Correct answer)
- 3/4
Correct answer: √7
√7 cannot be expressed as a fraction of integers, making it irrational.
Question 2: Solve for x: 5x − 3 = 22
- x = 4
- x = 5 (Correct answer)
- x = 6
- x = 7
Correct answer: x = 5
5x = 22 + 3 = 25, so x = 25 ÷ 5 = 5.
Question 3: A circle has a radius of 6 cm. What is its circumference? (Use π ≈ 3.14)
- 18.84 cm
- 37.68 cm (Correct answer)
- 113.04 cm
- 28.26 cm
Correct answer: 37.68 cm
Circumference = 2πr = 2 × 3.14 × 6 = 37.68 cm.
Question 4: Which graph represents a proportional relationship?
- A curve that passes through (0, 4)
- A straight line through the origin (Correct answer)
- A horizontal line at y = 3
- A line with a y-intercept of 5
Correct answer: A straight line through the origin
A proportional relationship is represented by a straight line passing through the origin (0, 0).
Question 5: What is the median of the data set: 4, 7, 9, 3, 5?
- 5 (Correct answer)
- 7
- 4
- 9
Correct answer: 5
Ordered: 3, 4, 5, 7, 9 — the middle value is 5.
Question 6: A car travels 240 miles in 4 hours. What is its average speed in miles per hour?
- 50 mph
- 55 mph
- 60 mph (Correct answer)
- 65 mph
Correct answer: 60 mph
Speed = distance ÷ time = 240 ÷ 4 = 60 mph.
Question 7: What is the Greatest Common Factor (GCF) of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48: 1,2,3,4,6,8,12,16,24,48; the greatest common factor is 12.
WVGSA Mathematics 4
Which of the following is an example of an irrational number?