MSAP Numerical Reasoning 2

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?

Accepted Answer

4 km

Answer

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?

Accepted Answer

$5.00

Answer

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?

Accepted Answer

6.25 cups

Answer

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?

Accepted Answer

15

Answer

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?

Accepted Answer

36 liters

Answer

8 × (450 ÷ 100) = 8 × 4.5 = 36 liters.

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