ITBS Mathematical Problem Solving 4 — Questions and Answers
Question 1: A rectangular room is 15 feet long and 10 feet wide. Carpet costs $3.50 per square foot. How much will it cost to carpet the entire room?
- $350.00
- $437.50
- $525.00 (Correct answer)
- $612.50
Correct answer: $525.00
Area = 15 × 10 = 150 sq ft; 150 × $3.50 = $525.00.
Question 2: If 5 workers can build a fence in 12 days, how many days will it take 10 workers to build the same fence?
- 3 days
- 6 days (Correct answer)
- 8 days
- 24 days
Correct answer: 6 days
Doubling the workers halves the time: 12 ÷ 2 = 6 days.
Question 3: A class of 30 students took a test. 60% scored above 80. How many students scored 80 or below?
- 12 (Correct answer)
- 15
- 18
- 20
Correct answer: 12
60% above 80 means 40% scored 80 or below: 40% × 30 = 12 students.
Question 4: A cylinder has a radius of 5 cm and a height of 10 cm. Using π ≈ 3.14, what is the approximate volume?
- 157 cm³
- 314 cm³
- 785 cm³ (Correct answer)
- 1,570 cm³
Correct answer: 785 cm³
V = π × r² × h = 3.14 × 25 × 10 = 785 cm³.
Question 5: A store is having a 30% off sale. A jacket originally costs $80. What is the sale price?
- $24
- $50
- $54
- $56 (Correct answer)
Correct answer: $56
Discount = 30% × $80 = $24; sale price = $80 − $24 = $56.
Question 6: Two buses leave the same station at 9:00 AM. Bus A travels north at 45 mph and Bus B travels south at 55 mph. How far apart are they after 2 hours?
- 90 miles
- 110 miles
- 180 miles
- 200 miles (Correct answer)
Correct answer: 200 miles
Bus A travels 45 × 2 = 90 miles and Bus B travels 55 × 2 = 110 miles; total distance = 90 + 110 = 200 miles.
Question 7: The ratio of boys to girls in a club is 3:5. If there are 40 members total, how many are boys?
- 8
- 12
- 15 (Correct answer)
- 25
Correct answer: 15
Total ratio parts = 3 + 5 = 8; boys = (3/8) × 40 = 15.
ITBS Mathematical Problem Solving 4
A rectangular room is 15 feet long and 10 feet wide.
Carpet costs $3.50 per square foot.
How much will it cost to carpet the entire room?