FRACTIONS
PERCENTAGES
RATIO
RATES
MIXED CHALLENGE
EXAM CHALLENGE
100

Simplify 12/18.

2/3

100

Convert 0.35 into a percentage.

35%

100

Simplify the ratio 15:25.

3:5

100

Is 60 km/h a ratio or a rate?

A rate.

100

Write 75% as a fraction in simplest form.

3/4

100

Simplify the fraction 24/36.

2/3

200

Write 3/4 as an equivalent fraction with a denominator of 20.

15/20

200

Convert 3/5 into a percentage.

60%

200

How many total parts are in the ratio 4:7?

11 parts

200

A car travels 180 km in 3 hours. Calculate its average speed.

60 km/h

200

Write the ratio 2:3 as a fraction of the total for the first quantity.

2/5

200

Calculate 35% of 200.

70

300

Calculate 2/3 + 1/6.

5/6

300

Calculate 25% of 160.

40

300

Divide $330 in the ratio 4:7.

$120 and $210

300

Four kilograms of apples cost $18. What is the cost per kilogram?

$4.50 per kg

300

Calculate 15% of 240.

36

300

Divide $420 in the ratio 2:5.

$120 and $300

400

Calculate 3/4 of 68.

51

400

A pair of shoes costs $120 and is discounted by 20%. What is the sale price?

$96

400

A class has 36 students. The ratio of boys to girls is 5:4. How many boys and girls are there?

20 boys and 16 girls.

400

A cyclist travels at 15 km/h for 4 hours. How far do they travel?

60 km

400

drink is made using concentrate and water in the ratio 2:5. If the total drink is 840 mL, how much concentrate and water are needed?

240 mL concentrate and 600 mL water.

400

A car travels 240 km in 4 hours. At the same speed, how far will it travel in 6 hours?

360 km


500

A student eats 2/5 of a pizza at lunch and 1/4 at dinner. What fraction of the pizza is left?

7/20

500

A class has 30 students. 18 students passed an exam. What percentage passed, and what percentage did not pass?

60% passed and 40% did not pass.

500

A quantity is shared in the ratio 3:5. The smaller share is 96. What is the total quantity?

256

500

A 750 g packet costs $6. A 1 kg packet costs $7.50. Which is the better buy?

They are equal in value. Both cost $8 per kg.

500

A jacket is reduced by 20% and now costs $96. What was its original price?

$120


500

A class has 40 students. 60% are girls. The ratio of boys to girls is 2:3. How many students are in the class, and how many boys and girls are there?

24 girls and 16 boys.