Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 15

Question 1

A store increases the price of a shirt from $40 to $52. What is the percent increase?

Accepted Answer

30%

Answer

Percent increase = (52 − 40)/40 × 100 = 12/40 × 100 = 30%.

Question 2

Kira can read 40 pages in 50 minutes. At this rate, how many pages can she read in 2 hours 15 minutes?

Accepted Answer

108 pages

Answer

Rate = 40/50 = 4/5 pages per minute; 2 hr 15 min = 135 minutes; pages = 135 × 4/5 = 108.

Question 3

A road map has a scale of 1 in : 40 miles. Two cities are 3.25 inches apart on the map. What is the actual distance?

Accepted Answer

130 miles

Answer

Actual distance = 3.25 × 40 = 130 miles.

Question 4

A bank offers 5% annual simple interest. How much interest does $4,000 earn over 30 months?

Accepted Answer

$500

Answer

30 months = 2.5 years; I = 4,000 × 0.05 × 2.5 = $500.

Question 5

At a factory, 3 machines produce 720 parts per hour. How many parts do 7 machines of the same type produce in 2.5 hours?

Accepted Answer

4,200 parts

Answer

Rate per machine = 720 ÷ 3 = 240 parts/hr; 7 machines × 240 × 2.5 = 4,200 parts.

Bluebook SAT Practice Test