Vocabulary
Ratios
Rates
Proportional Reasoning
Bonus
100

Two equivalent ratios

What is a proportion?

100

If I have four stripped circles, 2 triangles, and two white circles. How many white circles to all shapes do I have?

What is 2 to 8

100

How much can Julian run in an hour. If he can run 35 miles in 5 hours

What is 6 miles per hour

100

There are 8 cups of sugar for 40 cookies. How many cups of sugar do I need for 20 cookies.

What is 4 cups of sugar?


100

Alan’s car drove 100 miles in 50 minutes and Sally’s car drove 56 miles in 14 minutes. Who drove the fastest in a minute?

Who is Sally. She drove 4 miles in 1 minute and Alan drove 2 miles in 1 minute.

200

A ratio that compares two different units

What is a rate?

200

A soccer team played 28 games and won 4 out of every 7 games. There were no tied games. How many games did they lose? 

What is 12 games lost?

200

If Natalia saved $42 in 7 days, How much does she save per day?

What is $6 a day

200

Will spent $6 downloading 5 songs to his iPhone. At this rate, how many songs could he download for $12?

What is 10 songs?

200

A golden rectangle has a length to width ratio called the golden ratio, which is approximately 1.62. 

If the width of a golden rectangle is 6.4 m, what is the length? Give your answer to the nearest tenth of a metre. 

What is 10.4 m? 
300

A comparison of two numbers (quantities)

What is a ratio?

300

A pet store has 5 cats, 7 dogs, 3 rabbits, and 5 birds. What does the ratio 1/4 compare?

What is cats to all animals in simplest form.

300

Trevor rode his mountain bike 98 km in 3.5 hours. Jillian rode 75 km in 2.5 hours. Who is the faster cyclist?  

Who is Jillian?

300

The ratio of red tiles to black tiles is 4 to 6. If 24 red tiles were used to complete the project how many black tiles were used?

What is 36 black tiles

300

Mark estimates frogs eat six insects per hour. Assume a frog rests for 8 hours each day and doesn't eat while resting. How many insects would the frog eat in August? 

What is 2976 insects? 

400

If two ratios have the same value when smplified, then they are called....

What is equivalent ratios?

400

The ratio of the width to the length of thee Canadian flag is 1:2. 

The flag on the cover of an atlas is 12 cm wide. How long is it? 

What is 24 cm?

400

Chad went to the bank to get some U.S. dollars for a trip to the Grand Canyon. He paid $500 CAD and received $361.21 USD. What was the conversion rate for exchanging Canadian dollars to U.S dollars? Give your answer to four decimal places. 

What is 0.7224? 

400

A breakfast cereal contains corn, wheat, and rice in the ratio of 3 to 4 to 2. If a box of cereal contains 225 g of corn, how much rice does it contain? 

What is 150 g of rice? 

400

Two circles have radii with a ratio of 1 to 2. What is the ratio of their circumferences? 

What is 1 to 2?

500

There are 48 passengers on a transit bus. At the next stop, 16 passengers got off and 12 others got on the bus. What is the ratio of the passengers who got on the bus at the stop compared to the new total then on the bus? Express your answer as a percent.

What is 27%?

500

Express 60 km/h in meters per second to the nearest hundredth.  

What is 16.67 m/s?

500

The height of an object compared to the length of its shadow is constant for all objects at any given time. If a 15m tree casts a 9m shadow, what is the height of a student who casts a 1.08 m shadow? 

What is 1.8 m tall? 

500

If a:b = 4:5, find the ratio of 5a:7b. 

What is 20 : 35? (or 4:7 if simplified) 

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