IAAT Ratios and Proportional Reasoning

Question 1

A recipe calls for 3 cups of flour for every 2 cups of sugar. If you use 9 cups of flour, how many cups of sugar do you need?

Accepted Answer

6 cups

Answer

The ratio 3:2 scales by a factor of 3 when flour becomes 9, so sugar = 2 × 3 = 6 cups.

Question 2

The ratio of boys to girls in a class is 4:5. If there are 20 boys, how many girls are there?

Accepted Answer

25

Answer

If 4 parts = 20 boys, then 1 part = 5, so 5 parts (girls) = 25.

Question 3

Which of the following ratios is equivalent to 6:9?

Accepted Answer

2:3

Answer

Dividing both 6 and 9 by 3 gives 2:3, which is the simplified form.

Question 4

A car travels 150 miles in 3 hours. At the same rate, how many miles will it travel in 5 hours?

Accepted Answer

250 miles

Answer

The rate is 150 ÷ 3 = 50 miles per hour; 50 × 5 = 250 miles.

Question 5

If 5 notebooks cost $7.50, what is the cost of 8 notebooks at the same rate?

Accepted Answer

$12.00

Answer

Unit cost = $7.50 ÷ 5 = $1.50 per notebook; 8 × $1.50 = $12.00.

IAAT - Iowa Algebra Aptitude Test Practice Test