Question 1

A map has a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them?

Accepted Answer

175 miles. Multiply the map distance (3.5 inches) by the scale factor (50 miles/inch): 3.5 × 50 = 175 miles.

Question 2

A recipe calls for 2 cups of flour for every 3 cups of sugar. How many cups of flour are needed if you use 9 cups of sugar?

Accepted Answer

6 cups of flour. Set up the proportion 2/3 = x/9, then cross-multiply: 3x = 18, so x = 6.

Question 3

In a class of 40 students, the ratio of boys to girls is 3:5. How many girls are in the class?

Accepted Answer

25 girls. The total ratio parts = 8. Each part = 40 ÷ 8 = 5 students. Girls = 5 × 5 = 25.

Question 4

A car travels 240 miles on 8 gallons of gas. At the same rate, how many gallons are needed to travel 390 miles?

Accepted Answer

13 gallons. The rate is 30 miles per gallon. 390 ÷ 30 = 13 gallons.

Question 5

If 5 workers can complete a job in 12 days, how many days will it take 10 workers to complete the same job?

Accepted Answer

6 days. This is an inverse proportion. 5 × 12 = 10 × d, so d = 60 ÷ 10 = 6 days.

ASVAB Arithmetic Reasoning Mastery

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