Unit Rates and Ratios Quiz

Aria is baking her famous cookies and needs 3 cups of flour for every 2 cups of sugar. If she has 9 cups of flour, how many cups of sugar does she need to keep her cookies delicious?

• 4 cups

• 5 cups

• 6 cups

• 7 cups

Answer explanation

Aria needs 3 cups of flour for every 2 cups of sugar. With 9 cups of flour, we set up a ratio: 9 flour / 3 flour = 3. Then, 3 * 2 sugar = 6 cups of sugar. Thus, she needs 6 cups of sugar.

Liam and Abigail are on a road trip adventure! They drove 180 miles in just 3 hours. Can you help them figure out their car's speed in miles per hour?

• 50 miles per hour

• 55 miles per hour

• 60 miles per hour

• 65 miles per hour

Answer explanation

To find the speed, divide the distance by the time. Liam and Abigail drove 180 miles in 3 hours. So, 180 miles ÷ 3 hours = 60 miles per hour. Therefore, the correct answer is 60 miles per hour.

Zoe decided to go on an adventure walk and covered 12 miles in 4 hours. Can you help her figure out her walking speed in miles per hour?

• 2 miles per hour

• 3 miles per hour

• 4 miles per hour

• 5 miles per hour

Answer explanation

To find Zoe's walking speed, divide the distance by the time: 12 miles ÷ 4 hours = 3 miles per hour. Therefore, the correct answer is 3 miles per hour.

Hannah and Priya are planning a road trip and are using a map with a scale of 1 inch representing 5 miles. If the distance between their starting point and destination is 3 inches on the map, how many miles will they actually travel?

• 10 miles

• 15 miles

• 20 miles

• 25 miles

Answer explanation

The map scale indicates that 1 inch equals 5 miles. Since the distance on the map is 3 inches, the actual distance is 3 inches x 5 miles/inch = 15 miles. Therefore, they will travel 15 miles.

Abigail and Kai are building a treehouse and need to convert 48 inches to feet to make sure their ladder is the right size. Can you help them by using the appropriate unit rate?

• 2 feet

• 3 feet

• 4 feet

• 5 feet

Answer explanation

To convert inches to feet, divide the number of inches by 12. So, 48 inches ÷ 12 = 4 feet. Therefore, the correct answer is 4 feet.

Zoe and Ava are on a cycling adventure! They pedal their way through a scenic route, covering 24 miles in just 2 hours. Can you figure out their speed in miles per hour?

• 10 miles per hour

• 11 miles per hour

• 12 miles per hour

• 13 miles per hour

Answer explanation

To find the speed, divide the distance by the time. Zoe and Ava covered 24 miles in 2 hours. So, 24 miles ÷ 2 hours = 12 miles per hour. Therefore, the correct answer is 12 miles per hour.

Emma and Abigail are building a miniature city for their school project. They made a scale model of a skyscraper that stands 10 inches tall. If the real skyscraper is 100 feet tall, what is the scale factor of their model?

• 1:5

• 1:10

• 1:12

• 1:15

Answer explanation

To find the scale factor, convert the real skyscraper's height to inches: 100 feet = 1200 inches. The scale factor is the ratio of model height to real height: 10 inches / 1200 inches = 1/120, which simplifies to 1:10.

Abigail is planning a fun science experiment and needs to convert 5 gallons of water into quarts. Can you help her by using the appropriate unit rate?

• 10 quarts

• 15 quarts

• 20 quarts

• 25 quarts

Answer explanation

To convert gallons to quarts, use the conversion factor: 1 gallon = 4 quarts. Therefore, 5 gallons x 4 quarts/gallon = 20 quarts. The correct answer is 20 quarts.