Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 4

Question 1

A 120-meter rope is cut into two pieces in the ratio 3:5. What is the length of the shorter piece?

Accepted Answer

45 m

Answer

40 m

Answer

50 m

Answer

55 m

Question 2

A runner finishes a 10-km race in 50 minutes. What is the runner's average speed in kilometers per hour?

Accepted Answer

12 km/h

Answer

10 km/h

Answer

11 km/h

Answer

14 km/h

Question 3

A saline solution is prepared by mixing 15 g of salt with 285 g of water. What percent of the solution by weight is salt?

Accepted Answer

5%

Answer

3%

Answer

4%

Answer

6%

Question 4

If 8 identical pens cost $6.00, what is the cost, in dollars, of 20 such pens?

Accepted Answer

$15.00

Answer

$13.00

Answer

$14.50

Answer

$16.00

Question 5

A tank is filled at a rate of 6 liters per minute and drained at a rate of 4 liters per minute simultaneously. At this net rate, how many minutes will it take to accumulate 50 liters?

Accepted Answer

25

Answer

20

Answer

30

Answer

35

Question 6

Two towns are 3.5 inches apart on a map where 0.5 inches represents 12 miles. What is the actual distance between the towns?

Accepted Answer

84 miles

Answer

72 miles

Answer

78 miles

Answer

80 miles

Question 7

A car averages 28 miles per gallon on the highway and uses 7.5 gallons for a road trip. How far, in miles, did the car travel?

Accepted Answer

210 miles

Answer

196 miles

Answer

200 miles

Answer

215 miles