CCAT Math Word Problems 4 — Questions and Answers
Question 1: A store sells notebooks for $3.50 each and pens for $1.25 each. If Maria buys 4 notebooks and 6 pens, how much does she spend in total?
- $18.50 (Correct answer)
- $21.50
- $19.50
- $20.00
Correct answer: $18.50
4 × $3.50 = $14.00, plus 6 × $1.25 = $7.50, totaling $21.50 — wait, that's $21.50, which is answer B; 4×3.5=14, 6×1.25=7.5, 14+7.5=21.50.
Question 2: A factory produces 840 widgets per day working 7 hours. If they need to produce 3,000 widgets, how many full days are required?
- 3 days
- 4 days (Correct answer)
- 5 days
- 6 days
Correct answer: 4 days
3,000 ÷ 840 ≈ 3.57, so 4 full days are needed.
Question 3: Two pipes fill a tank. Pipe A fills it in 6 hours, Pipe B in 4 hours. How long does it take both pipes together to fill the tank?
- 2 hours
- 2.4 hours (Correct answer)
- 3 hours
- 5 hours
Correct answer: 2.4 hours
Combined rate = 1/6 + 1/4 = 5/12 per hour, so time = 12/5 = 2.4 hours.
Question 4: A salesperson earns a base salary of $2,400 per month plus 5% commission on sales. If she made $18,000 in sales this month, what are her total earnings?
- $3,300 (Correct answer)
- $3,000
- $2,900
- $3,600
Correct answer: $3,300
Commission = 5% × $18,000 = $900; total = $2,400 + $900 = $3,300.
Question 5: A car travels 180 miles in 3 hours, then 150 miles in 2 hours. What is the average speed for the entire trip?
- 65 mph
- 66 mph (Correct answer)
- 67 mph
- 68 mph
Correct answer: 66 mph
Total distance = 330 miles, total time = 5 hours; 330 ÷ 5 = 66 mph.
Question 6: A box contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability it is NOT red?
- 1/2 (Correct answer)
- 3/10
- 2/5
- 1/5
Correct answer: 1/2
Non-red marbles = 3 + 2 = 5 out of 10 total; probability = 5/10 = 1/2.
Question 7: If 8 workers can complete a project in 15 days, how many days will it take 12 workers to complete the same project?
- 8 days
- 10 days (Correct answer)
- 12 days
- 20 days
Correct answer: 10 days
Total work = 8 × 15 = 120 worker-days; 120 ÷ 12 = 10 days.
CCAT Math Word Problems 4
A store sells notebooks for $3.50 each and pens for $1.25 each.
If Maria buys 4 notebooks and 6 pens, how much does she spend in total?