MSAP Numerical Reasoning 2 — Questions and Answers
Question 1: A map uses a scale of 1:50,000. If two towns are 8 cm apart on the map, what is the actual distance in kilometers?
- 2 km
- 4 km (Correct answer)
- 6 km
- 8 km
Correct answer: 4 km
8 cm × 50,000 = 400,000 cm = 4 km.
Question 2: If 3 apples cost $1.50, how much do 10 apples cost at the same rate?
- $4.50
- $5.00 (Correct answer)
- $5.50
- $6.00
Correct answer: $5.00
Each apple costs $1.50 ÷ 3 = $0.50; 10 × $0.50 = $5.00.
Question 3: A recipe requires 2.5 cups of flour for 12 cookies. How much flour is needed for 30 cookies?
- 5.25 cups
- 5.5 cups
- 6 cups
- 6.25 cups (Correct answer)
Correct answer: 6.25 cups
2.5 × (30 ÷ 12) = 2.5 × 2.5 = 6.25 cups.
Question 4: The ratio of boys to girls in a class is 3:5. If there are 40 students in total, how many are boys?
- 12
- 15 (Correct answer)
- 18
- 24
Correct answer: 15
Boys make up 3/8 of the class: 3/8 × 40 = 15.
Question 5: A car uses 8 liters of fuel per 100 km. How many liters are needed for a 450 km journey?
- 32 liters
- 34 liters
- 36 liters (Correct answer)
- 38 liters
Correct answer: 36 liters
8 × (450 ÷ 100) = 8 × 4.5 = 36 liters.
Question 6: A job pays $25 per hour plus a $50 daily bonus. What is the total pay for working 7 hours in a day?
- $200
- $225 (Correct answer)
- $250
- $275
Correct answer: $225
25 × 7 = $175 in hourly pay, plus $50 bonus = $225.
Question 7: A container holds 75% of its capacity when it contains 60 liters. What is the full capacity of the container?
- 70 liters
- 75 liters
- 80 liters (Correct answer)
- 85 liters
Correct answer: 80 liters
If 60 liters = 75%, then full capacity = 60 ÷ 0.75 = 80 liters.
MSAP Numerical Reasoning 2
A map uses a scale of 1:50,000.
If two towns are 8 cm apart on the map, what is the actual distance in kilometers?