CHSPE Mathematics 2 — Questions and Answers
Question 1: A store marks up the cost of an item by 40%. If the cost is $35, what is the selling price?
- $40.00
- $45.50
- $49.00 (Correct answer)
- $75.00
Correct answer: $49.00
40% of $35 is $14, and $35 + $14 = $49.00.
Question 2: Which of the following is equivalent to 3x² − 12x?
- 3x(x − 4) (Correct answer)
- 3(x² − 4)
- x(3x − 12)
- 3x(x + 4)
Correct answer: 3x(x − 4)
Factor out 3x from each term: 3x² − 12x = 3x(x − 4).
Question 3: If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many students are in the class total?
- 40
- 56
- 64 (Correct answer)
- 72
Correct answer: 64
24 boys ÷ 3 = 8 per part; 8 parts × (3+5) = 64 students total.
Question 4: What is the slope of the line passing through (2, 5) and (6, 13)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 − 5) ÷ (6 − 2) = 8 ÷ 4 = 2.
Question 5: A triangle has angles measuring 45° and 75°. What is the measure of the third angle?
- 50°
- 55°
- 60° (Correct answer)
- 80°
Correct answer: 60°
The angles of a triangle sum to 180°, so 180 − 45 − 75 = 60°.
Question 6: Simplify: (2³ × 2⁴) ÷ 2²
- 2³
- 2⁵ (Correct answer)
- 2⁷
- 2⁹
Correct answer: 2⁵
2³ × 2⁴ = 2⁷, then 2⁷ ÷ 2² = 2⁵.
Question 7: A rectangle has a perimeter of 54 cm and a width of 9 cm. What is its area?
- 162 cm² (Correct answer)
- 180 cm²
- 189 cm²
- 216 cm²
Correct answer: 162 cm²
Length = (54 ÷ 2) − 9 = 18 cm; Area = 18 × 9 = 162 cm².
CHSPE Mathematics 2
A store marks up the cost of an item by 40%.
If the cost is $35, what is the selling price?