HSPT Mathematics — Questions and Answers
Question 1: What is the area of a circle with a radius of 7? (Use π ≈ 3.14)
- 21.98
- 43.96
- 153.86 (Correct answer)
- 49
Correct answer: 153.86
Area of a circle = πr² = 3.14 × 7² = 3.14 × 49 = 153.86 square units.
Question 2: Solve for x: 2(x + 3) = 14
- 4 (Correct answer)
- 5.5
- 7
- 8
Correct answer: 4
Distribute: 2x + 6 = 14. Subtract 6: 2x = 8. Divide by 2: x = 4.
Question 3: What is the volume of a rectangular prism with length 5, width 3, and height 4?
- 12
- 60 (Correct answer)
- 30
- 24
Correct answer: 60
Volume of a rectangular prism = length × width × height = 5 × 3 × 4 = 60 cubic units.
Question 4: If a shirt originally costs $40 and is on sale for 25% off, what is the sale price?
- $10
- $15
- $25
- $30 (Correct answer)
Correct answer: $30
25% of $40 = $10 discount. Sale price = $40 - $10 = $30. Alternatively, $40 × 0.75 = $30.
Question 5: What is the slope of a line passing through points (2, 3) and (6, 11)?
- 1
- 2 (Correct answer)
- 4
- 8
Correct answer: 2
Slope = (y₂ - y₁)/(x₂ - x₁) = (11 - 3)/(6 - 2) = 8/4 = 2.
Question 6: Simplify: 4/6 + 1/3
- 5/9
- 5/6
- 1 (Correct answer)
- 2/3
Correct answer: 1
Find a common denominator: 4/6 + 2/6 = 6/6 = 1. Note that 1/3 = 2/6.
HSPT Mathematics
What is the area of a circle with a radius of 7? (Use π ≈ 3.14)