Ratios
Unit Rates
Proportions
Algebraic
100

The ratio of Jared's stamps to Paulo's stamps is 4:7.

If Jared has 36 stamps, how many stamps does Paulo have?

63
100

5 identical objects have a combined mass of 375 g. What is the unit rate per object? 

75 g per object

100

A 4x6 inch photo is enlarged 15x. What are the dimensions of the new photo?

60x90 inches. 

100

Write 2:5 as a percentage. 

40%

200

In a bag of Halloween candy, the ratio of gummy bears to chocolate bars is 20:3.

If there are 160 gummy bears, how many chocolate bars are there?

24

200

At the 2024 Paris Olympics, Noah Lyles ran 100 meters in 9.784 seconds. 

What was Noah Lyles' unit rate for the 100 meter? 

10.22 meters/second

200

A recipe for salad dressing calls for 15 mL of vinegar for every 45 mL of olive oil.

You decide to increase the recipe. If you are using 225 mL of olive oil, how much vinegar will you need? 

75 mL

200

Find x in the equivalent ratio 2:7 = x:21

x=6

300

An oil tank has a capacity of 20 L. It is half full.

The ratio of oil in Tank A compared to Tank B is 2:5

How much oil is in Tank B?

25 L

300

If the conversion rate of Canadian dollars to US dollars is $1 CAD = $0.72 USD, how many US dollars is $35 CAD worth? 

$25.20

300

You can make $15 an hour shelving books at the library. 

If shifts are 6 hours and you work 3 days a week, how much will you make in a week? 

$270

300

Solve for x if:

4/3 = 16/x

x=12

400

In the school band, the ratio of girls to boys is 17:8. What percent of the band are boys?

32%

400

A 500 mL bottle of ketchup costs $3.50 while a 750 mL bottle costs $5. Which bottle is the better buy?

The 750 mL bottle. 

400

A recipe for brownies calls for 1 and 1/2 cups of sugar, and 3/4 cups of flour. If you are tripling the recipe how many cups of sugar and flour will you need? 

4 and 1/2 cups of sugar, and 2 and 1/4 cups of flour.

400

Is 435:5 proportional to 6960:85? 

No.

500

The ratio of the cost of a shirt to the cost of a hat is 5:4.

The ratio of the cost of the hat to the cost of jeans is 2:5.

What is the ratio of the cost of the shirt to the cost of the jeans?

1:2

500

Which is faster, 100 meters per second, or 320 km per hour? 

100 meters per second.

500

A computer monitor has a screen ratio of 21:9 width:height. 

If the monitor has a height of 1080 pixels, how many pixels wide is the screen? 

2520 pixels

500

Express 36% of 50 as a simplified fraction. 

9/25