Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 3

Question 1

A cyclist rides at a constant speed and covers 48 miles in 3 hours. How long, in hours, will it take the cyclist to cover 80 miles at the same speed?

Accepted Answer

5

Answer

4

Answer

4.5

Answer

5.5

Question 2

Alloy A contains copper and zinc in a ratio of 3:7. How many grams of copper are in 200 grams of Alloy A?

Accepted Answer

60 g

Answer

40 g

Answer

50 g

Answer

70 g

Question 3

A store marks up all items by 40%. If the store's cost for a jacket is $75, what is the selling price?

Accepted Answer

$105

Answer

$100

Answer

$110

Answer

$115

Question 4

A water tank loses water at a rate of 0.5 gallons per minute. How many gallons does the tank lose in 2 hours and 30 minutes?

Accepted Answer

75

Answer

60

Answer

65

Answer

70

Question 5

Light travels at approximately 3 × 10⁸ meters per second. How many kilometers does light travel in 5 seconds? (1 km = 1,000 m)

Accepted Answer

1.5 × 10⁶ km

Answer

1.5 × 10⁹ km

Answer

1.5 × 10⁸ km

Answer

1.5 × 10⁷ km

Question 6

In a school, the ratio of boys to girls is 4:5. If there are 360 students in total, how many are boys?

Accepted Answer

160

Answer

140

Answer

150

Answer

170

Question 7

A car travels 400 km on 50 liters of fuel. If the price of fuel is $1.20 per liter, what is the fuel cost per kilometer?

Accepted Answer

$0.15

Answer

$0.10

Answer

$0.12

Answer

$0.18