FAST Mathematical: Ratios and Proportional Relationships

Question 1

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 8 cups of flour, how many cups of sugar are needed?

Accepted Answer

12 cups

Answer

The ratio is 2:3, so 8 ÷ 2 × 3 = 12 cups of sugar.

Question 2

A car travels 150 miles in 3 hours. What is the unit rate in miles per hour?

Accepted Answer

50 mph

Answer

150 miles ÷ 3 hours = 50 miles per hour.

Question 3

Which equation represents a proportional relationship between x and y?

Accepted Answer

y = 3x

Answer

A proportional relationship has the form y = kx passing through the origin; y = 3x satisfies this.

Question 4

On a map, 1 inch represents 25 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?

Accepted Answer

87.5 miles

Answer

3.5 inches × 25 miles per inch = 87.5 miles.

Question 5

If 4 notebooks cost $12.00, how much would 7 notebooks cost at the same rate?

Accepted Answer

$21.00

Answer

The unit rate is $12 ÷ 4 = $3 per notebook; 7 × $3 = $21.

FAST - Florida State Assessment Readiness Practice Test