CHSPE CHSPE Math 5 — Questions and Answers
Question 1: A rectangular garden is 12 m long and 8 m wide. If you want to fence the entire garden, how many meters of fencing are needed?
- 96 m
- 40 m (Correct answer)
- 20 m
- 48 m
Correct answer: 40 m
Perimeter = 2(12 + 8) = 2(20) = 40 m.
Question 2: Which of the following is NOT a rational number?
- 0.333...
- √9
- √7 (Correct answer)
- −5/2
Correct answer: √7
√7 ≈ 2.6457... is a non-terminating, non-repeating decimal, so it is irrational.
Question 3: If f(x) = 2x + 5, what is f(−3)?
- −1 (Correct answer)
- 1
- 11
- −11
Correct answer: −1
f(−3) = 2(−3) + 5 = −6 + 5 = −1.
Question 4: A test has 50 questions. Maria answered 38 correctly. What percent did she answer correctly?
- 70%
- 72%
- 76% (Correct answer)
- 80%
Correct answer: 76%
38/50 × 100 = 76%.
Question 5: What is the volume of a rectangular prism with length 6 cm, width 4 cm, and height 3 cm?
- 72 cm³ (Correct answer)
- 48 cm³
- 36 cm³
- 86 cm³
Correct answer: 72 cm³
Volume = l × w × h = 6 × 4 × 3 = 72 cm³.
Question 6: Simplify: (3x²y)(4xy³)
- 12x²y⁴
- 12x³y⁴ (Correct answer)
- 7x³y⁴
- 12x³y³
Correct answer: 12x³y⁴
Multiply coefficients (3×4=12) and add exponents for like bases: x²⁺¹=x³ and y¹⁺³=y⁴.
Question 7: The ages of five students are: 14, 16, 15, 14, 16. What is the mode?
- 15
- 14 and 16 (Correct answer)
- 14
- 16
Correct answer: 14 and 16
Both 14 and 16 appear twice, making this a bimodal data set with modes 14 and 16.
A rectangular garden is 12 m long and 8 m wide.
If you want to fence the entire garden, how many meters of fencing are needed?