Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 9

Question 1

A swimming pool holds 54,000 liters of water. A pump drains it at 150 liters per minute. How many hours will it take to drain the pool completely?

Accepted Answer

6 hours

Answer

3 hours

Answer

4 hours

Answer

9 hours

Question 2

In a bag of mixed nuts, the ratio of almonds to cashews is 5:3 and the ratio of cashews to walnuts is 3:4. What is the ratio of almonds to walnuts?

Accepted Answer

5:4

Answer

3:4

Answer

5:3

Answer

4:5

Question 3

Using the formula °C = (°F − 32) × 5/9, what is 95°F in Celsius?

Accepted Answer

35°C

Answer

30°C

Answer

32°C

Answer

37°C

Question 4

A train covers 480 km in 4 hours and a bus covers the same distance in 6 hours. How much faster, in km/h, is the train than the bus?

Accepted Answer

40 km/h

Answer

20 km/h

Answer

30 km/h

Answer

50 km/h

Question 5

A chemical solution requires alcohol and water in a ratio of 2:7 by volume. How many mL of alcohol are needed to prepare 630 mL of the solution?

Accepted Answer

140 mL

Answer

90 mL

Answer

126 mL

Answer

180 mL

Question 6

If 4 kg of coffee beans cost $28, what is the cost of 11 kg of the same beans?

Accepted Answer

$77.00

Answer

$72.50

Answer

$80.50

Answer

$84.00

Question 7

A scale diagram has 1 cm representing 5 m. A rectangular room on the diagram measures 3 cm by 4.5 cm. What is the actual area of the room in square meters?

Accepted Answer

337.5 m²

Answer

67.5 m²

Answer

270 m²

Answer

675 m²