8th Grade Ratios and Proportions Quiz

An amusement park sold 59 child tickets. The other 6 tickets it sold were adult tickets. What is the ratio of the number of adult tickets to the number of child tickets? Write your answer as two numbers separated by a colon (for example, 2:3).

Select all ratios equivalent to 10:22.

• 40:88

• 50:110

• 56:55

• 22:10

• 15:33

Alex sells t-shirts wholesale. He sells 4000 shirts for $10,000 to a department store, and 200 shirts for $500 to a boutique. Which customer pays Alex more per shirt?

• The department store pays more

• The boutique pays more

• Both customers pay the same

• Not enough information

Chris runs a radio station. His morning slot allots 1,134 minutes to play 378 songs. On average, how long is each song in minutes?

Which ratio is greater? 16:8 or 14:7

• 16:8

• 14:7

• The ratios form a proportion

• Not enough information

Lisa is monitoring the population of red kangaroos in the deserts of Australia. Lisa catches 149 red kangaroos, tags them, and releases them. A little while later, a helicopter pilot takes an aerial photograph of 944 red kangaroos, 42 of which are marked. To the nearest whole number, what is the best estimate for the red kangaroo population?

In Beverly Hills, two Hollywood actors own houses that are just 39 kilometers apart. On a map of stars' houses, these two houses are 6 centimeters away from each other. What is the scale of the map? Write your answer in simplest form using whole numbers, units, and no spaces. Ex. 1cm=1km

Tammy uses x-many liters of water and y-many scoops of sugar to make various amounts of lemonade.

x (liters)|y (scoops)

4L|16scoops

5L|20scoops

7L|28scoops

8L|32scoops

Do x and y have a proportional relationship? If so, what is the constant of proportionality? [___] scoops per liter

• no

• yes, 16

• yes, 12

• yes, 4

• yes, lemonade

Stan can fill his bottle with x-many ounces of water in y-many seconds at the water fountain.

x (ounces)|y (seconds)

4oz|36s

5oz|45s

9oz|81s

11oz|99s

Do x and y have a proportional relationship? What is the equation that describes this relationship?

• no

• yes, y = 4x

• yes, x = 4y

• yes, y = 9x

• yes, x = 9y