Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 11

Question 1

A basketball player made 24 out of 30 free throws. What percent of free throws did she make?

Accepted Answer

80%

Answer

24 ÷ 30 = 0.8 = 80%.

Question 2

A solution of 40 liters is 15% alcohol. How many liters of pure alcohol are in the solution?

Accepted Answer

6 liters

Answer

15% of 40 = 0.15 × 40 = 6 liters.

Question 3

If a car travels at 55 mph, how many feet does it travel in one second? (1 mile = 5,280 feet; 1 hour = 3,600 seconds)

Accepted Answer

80.7 ft/s

Answer

55 × 5,280 ÷ 3,600 = 290,400 ÷ 3,600 ≈ 80.7 ft/s.

Question 4

A store is having a 30%-off sale. After the discount, a jacket costs $84. What was the original price?

Accepted Answer

$120.00

Answer

If 70% of the original price = $84, then original = $84 ÷ 0.70 = $120.

Question 5

A square photo with sides of 5 cm is enlarged so that its area doubles. What is the side length of the enlarged photo, to the nearest tenth of a cm?

Accepted Answer

7.1 cm

Answer

Original area = 25 cm²; new area = 50 cm²; new side = √50 ≈ 7.07 ≈ 7.1 cm.

Bluebook SAT Practice Test