MPT Problem Solving 3 — Questions and Answers
Question 1: A recipe calls for 2.5 cups of flour to make 24 cookies. How many cups are needed to make 60 cookies?
- 5.5 cups
- 6 cups
- 6.25 cups (Correct answer)
- 5.75 cups
Correct answer: 6.25 cups
Rate = 2.5/24 cups per cookie; for 60: (2.5/24) × 60 = 6.25 cups.
Question 2: Two friends split a bill so that one pays twice as much as the other. If the total bill is $93, how much does the person paying more contribute?
- $31
- $46
- $62 (Correct answer)
- $58
Correct answer: $62
Let x = smaller share; x + 2x = 93 → x = 31; larger share = 2×31 = $62.
Question 3: A ladder 10 feet long leans against a wall. If the base is 6 feet from the wall, how high up the wall does the ladder reach?
- 6 feet
- 7 feet
- 8 feet (Correct answer)
- 9 feet
Correct answer: 8 feet
h = √(10² − 6²) = √(100 − 36) = √64 = 8 feet.
Question 4: A $200 item is discounted by 15%, then the discounted price is taxed at 8%. What is the final price?
- $183.60 (Correct answer)
- $176.40
- $184.00
- $179.80
Correct answer: $183.60
Discounted: 200 × 0.85 = $170; with tax: 170 × 1.08 = $183.60.
Question 5: Train A leaves at 9:00 AM going 60 mph. Train B leaves the same station at 10:00 AM going 80 mph in the same direction. At what time will Train B catch Train A?
- 12:00 PM
- 1:00 PM (Correct answer)
- 11:00 AM
- 2:00 PM
Correct answer: 1:00 PM
Train A has 1-hr head start = 60 miles; relative speed = 20 mph; catch-up time = 60/20 = 3 hrs after 10 AM = 1:00 PM.
Question 6: A cylinder has radius 3 cm and height 10 cm. What is its volume? (Use π ≈ 3.14)
- 282.6 cm³ (Correct answer)
- 94.2 cm³
- 188.4 cm³
- 565.2 cm³
Correct answer: 282.6 cm³
V = π r² h = 3.14 × 9 × 10 = 282.6 cm³.
Question 7: If 30% of a number is 45, what is 80% of that number?
- 108
- 112
- 120 (Correct answer)
- 90
Correct answer: 120
0.30 × N = 45 → N = 150; 80% of 150 = 0.80 × 150 = 120.
MPT Problem Solving 3
A recipe calls for 2.5 cups of flour to make 24 cookies.
How many cups are needed to make 60 cookies?