WVGSA Mathematics 3 — Questions and Answers
Question 1: A triangle has angles measuring 45° and 65°. What is the measure of the third angle?
- 60°
- 70° (Correct answer)
- 80°
- 90°
Correct answer: 70°
The sum of angles in a triangle is 180°, so 180 − 45 − 65 = 70°.
Question 2: Simplify: 4x + 2y − x + 3y
- 3x + 5y (Correct answer)
- 5x + 5y
- 3x + y
- 5x + y
Correct answer: 3x + 5y
Combine like terms: (4x − x) + (2y + 3y) = 3x + 5y.
Question 3: What is 15% of 200?
- 25
- 30 (Correct answer)
- 35
- 40
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 4: A sequence begins 2, 6, 18, 54, … What is the next term?
- 108
- 162 (Correct answer)
- 216
- 270
Correct answer: 162
Each term is multiplied by 3, so 54 × 3 = 162.
Question 5: Which equation represents the line passing through (0, 3) with a slope of 2?
- y = 3x + 2
- y = 2x − 3
- y = 2x + 3 (Correct answer)
- y = x + 3
Correct answer: y = 2x + 3
Using slope-intercept form y = mx + b with m = 2 and b = 3 gives y = 2x + 3.
Question 6: A rectangular prism has a length of 5 m, width of 3 m, and height of 4 m. What is its volume?
- 47 m³
- 60 m³ (Correct answer)
- 65 m³
- 80 m³
Correct answer: 60 m³
Volume = l × w × h = 5 × 3 × 4 = 60 m³.
Question 7: If f(x) = 2x − 5, what is f(4)?
- 1
- 2
- 3 (Correct answer)
- 4
Correct answer: 3
f(4) = 2(4) − 5 = 8 − 5 = 3.
WVGSA Mathematics 3
A triangle has angles measuring 45° and 65°.
What is the measure of the third angle?