CCAT Math Word Problems 2 — Questions and Answers
Question 1: A store sells notebooks for $3.50 each. A customer buys 8 notebooks and pays with a $50 bill. How much change do they receive?
- $18.00
- $22.00 (Correct answer)
- $28.00
- $32.00
Correct answer: $22.00
Cost = 8 x $3.50 = $28.00. Change = $50.00 - $28.00 = $22.00.
Total cost: 8 x $3.50 = $28.00. The customer pays $50.00. Change = $50.00 - $28.00 = $22.00.
Question 2: A train travels 360 miles in 4.5 hours. What is its average speed in miles per hour?
- 70 mph
- 75 mph
- 80 mph (Correct answer)
- 85 mph
Correct answer: 80 mph
Speed = Distance / Time = 360 / 4.5 = 80 mph.
Speed = 360 miles / 4.5 hours = 80 miles per hour. Verify: 80 x 4.5 = 360.
Question 3: A recipe calls for 2.5 cups of flour for 12 cookies. How many cups are needed for 36 cookies?
- 5 cups
- 6.5 cups
- 7.5 cups (Correct answer)
- 8 cups
Correct answer: 7.5 cups
36 cookies is 3 times 12, so 3 x 2.5 = 7.5 cups.
Ratio: 36/12 = 3. Flour needed = 2.5 x 3 = 7.5 cups.
Question 4: A project team has 5 members. Each member works 6 hours per day for 10 days. What is the total number of person-hours worked?
- 150
- 200
- 250
- 300 (Correct answer)
Correct answer: 300
Total = 5 x 6 x 10 = 300 person-hours.
Person-hours = 5 members x 6 hours/day x 10 days = 300 person-hours.
Question 5: A car was worth $24,000 when new and depreciated by 15% in the first year. What is its value after one year?
- $19,200
- $20,400 (Correct answer)
- $21,600
- $22,000
Correct answer: $20,400
Depreciation = 15% of $24,000 = $3,600. New value = $24,000 - $3,600 = $20,400.
15% of $24,000 = 0.15 x 24,000 = $3,600. Value after depreciation = $24,000 - $3,600 = $20,400. Alternatively: 24,000 x 0.85 = $20,400.
Question 6: Two workers together paint a fence in 6 hours. Worker A alone takes 10 hours. How long would Worker B take alone?
- 12 hours
- 15 hours (Correct answer)
- 18 hours
- 20 hours
Correct answer: 15 hours
Combined rate = 1/6. A's rate = 1/10. B's rate = 1/6 - 1/10 = 2/30 = 1/15. B takes 15 hours.
Combined rate = 1/6 per hour. Worker A rate = 1/10. Worker B rate = 1/6 - 1/10 = 5/30 - 3/30 = 2/30 = 1/15. Time for B = 15 hours.
CCAT Math Word Problems 2
A store sells notebooks for $3.50 each.
A customer buys 8 notebooks and pays with a $50 bill.
How much change do they receive?