Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 7

Question 1

A hose fills a 2,400-gallon pool in 8 hours. A second hose fills it in 12 hours. How many hours will it take both hoses together to fill the pool?

Accepted Answer

4.8 hr

Answer

3.6 hr

Answer

4.0 hr

Answer

5.2 hr

Question 2

A wheel has a radius of 35 cm. How many full rotations does the wheel make when it travels 440 meters? (Use π ≈ 22/7)

Accepted Answer

200

Answer

150

Answer

180

Answer

220

Question 3

A recipe requires 2.5 cups of milk for every 3 cups of flour. If a chef has 9 cups of flour, how many cups of milk are needed?

Accepted Answer

7.5

Answer

6.5

Answer

7.0

Answer

8.0

Question 4

A town's population grows at a constant rate. Its population was 15,000 in 2010 and 18,000 in 2015. What will the population be in 2020 at this rate?

Accepted Answer

21,000

Answer

19,500

Answer

20,500

Answer

22,000

Question 5

A metal pipe is 4 meters long and weighs 24 kg. What is the weight, in kg, of a pipe of the same material that is 6.5 meters long?

Accepted Answer

39 kg

Answer

36.5 kg

Answer

38 kg

Answer

40.5 kg

Question 6

In a class, 60% of students passed a math test and 80% passed an English test. If 30 students passed both and every student passed at least one test, how many students are in the class?

Accepted Answer

75

Answer

60

Answer

90

Answer

100

Question 7

A substance's speed of sound is 340 m/s. How long, in milliseconds, does it take sound to travel 85 meters? (1 s = 1,000 ms)

Accepted Answer

250 ms

Answer

200 ms

Answer

225 ms

Answer

275 ms