Writing and Simplifying Ratios
Equivalent Ratios/Dividing Ratios
Rates
Calculating Percent/Percent of a number
Percent Increase and Decrease/ Percent Change
100

Nathan has 8 m&m's and Betty has 6 m&m's. Write a ratio for Nathan and Betty's m&m's.

8:6 or 4:3

100

Write an equivalent ratio for 5:8 

many answers:

10:16, 50:80, 25:40 

100

You pay $12 for 3 notebooks. What is the cost per notebook?

$4

100

15 is what percent of 60?

25%
100

A $50 jumper increases in price by 10%. What is the new price?

$55

200

A recipe calls for 250 mL milk and 400 mL water. Write the ratio of milk to water in simplest form.

250:400 = 5:8 

200

Divide $30 in the ratio 1 : 2.

$10 and $20

200

A runner covers 400 m in 50 seconds. What is their speed in m/s?

8m/s

200

What is 60% of 250?

150

200

A $60 pair of shoes decreases in price by 25%. What is the sale price?

$45
300

A school has 48 students in Year 7, 36 in Year 8, and 60 in Year 9. Write the ratio of Year 7 : Year 8 : Year 9.

48:36:60 

Simplest form 4: 3: 5

300

Is 12: 18 and 24:38 equivalent ratios?

no

300

If 5 kg of apples cost $15, what is the cost per kilogram?

$3 per kg

300

A student answered 45 questions correctly out of 50. What percent did they get correct?

90%

300

A phone’s price increases from $800 to $880. What is the percent increase?

10%

400

Simplify 144 : 108.

4:3

400

Divide 72 m of ribbon in the ratio 5 : 3.

45m and 27m

400

A cyclist travels at 24 km/h for 2.5 hours. How far do they travel?

60km

400

A jumper is on sale for 20% off. If the original price was $80, what is the sale price?

$64

400

A population of 5,000 changes to 4,500. What is the percent change? 

10% decrease

500

Simplify the ratio 2.4 : 0.6.

4:1

500

Divide $450 in the ratio 3 : 4 : 5.

$90, $120, and $150

500

A car travels 150 km in 2 hours. What is its average speed in m/s?

1.25m/s

500

What is 25% of 42?

10.5

500

A bike’s price increases by 15% to $460. What was the original price?

$400