CBEST Math: Computation and Problem-Solving 5 — Questions and Answers
Question 1: A plumber charges a $45 flat fee plus $30 per hour. If the total bill is $165, how many hours did the plumber work?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
$165 − $45 = $120 remaining, and $120 ÷ $30 = 4 hours.
Question 2: What is the area of a triangle with a base of 14 cm and a height of 9 cm?
- 46 cm²
- 63 cm² (Correct answer)
- 126 cm²
- 252 cm²
Correct answer: 63 cm²
Area = ½ × base × height = ½ × 14 × 9 = 63 cm².
Question 3: If a shirt originally costs $60 and is now priced at $45, what is the percent decrease?
- 15%
- 20%
- 25% (Correct answer)
- 33%
Correct answer: 25%
Decrease = $15; percent decrease = 15/60 × 100 = 25%.
Question 4: Which of the following fractions is between 1/3 and 1/2?
- 1/4
- 2/5 (Correct answer)
- 3/8
- 5/12
Correct answer: 2/5
1/3 ≈ 0.333 and 1/2 = 0.5; 2/5 = 0.4, which lies between them.
Question 5: A store buys an item for $40 and marks it up 35%. What is the selling price?
- $14.00
- $52.00
- $54.00 (Correct answer)
- $56.00
Correct answer: $54.00
35% of $40 = $14, so selling price = $40 + $14 = $54.
Question 6: On a number line, which value is between −3/4 and −1/4?
- −1
- −1/2 (Correct answer)
- 0
- 1/4
Correct answer: −1/2
−1/2 = −0.5, which lies between −0.75 and −0.25.
Question 7: A class of 30 students took a test. The scores were: 10 students scored 70, 12 students scored 80, and 8 students scored 90. What is the class average?
- 78
- 79 (Correct answer)
- 80
- 81
Correct answer: 79
Total = (10×70)+(12×80)+(8×90) = 700+960+720 = 2380; average = 2380/30 ≈ 79.3, closest to 79.
A plumber charges a $45 flat fee plus $30 per hour.
If the total bill is $165, how many hours did the plumber work?