Ratios & Proportions Quiz

Question 1

Simplify the ratio 12:8.

Accepted Answer

3:2

Answer

6:4

Answer

4:3

Answer

2:3

Question 2

Share £60 in the ratio 2:3.

Accepted Answer

£24 and £36

Answer

£20 and £40

Answer

£30 and £30

Answer

£12 and £18

Question 3

If a map scale is 1:50,000, what does 2 cm on the map represent in real life?

Accepted Answer

1 km

Answer

50 m

Answer

500 m

Answer

2 km

Question 4

A recipe uses flour and sugar in the ratio 5:2. If you use 200g of sugar, how much flour do you need?

Accepted Answer

500g

Answer

80g

Answer

100g

Answer

400g

Question 5

Are these ratios equivalent? 3:4 and 9:12

Accepted Answer

Yes

Answer

No

Answer

Only if the units are the same

Answer

Cannot tell

Question 6

If 5 apples cost £2.50, how much do 8 apples cost?

Accepted Answer

£4.00

Answer

£3.00

Answer

£3.50

Answer

£4.50

Question 7

Simplify the ratio 15:25:35.

Accepted Answer

3:5:7

Answer

5:7:9

Answer

5:8:10

Answer

1:2:3

Question 8

If 3 workers take 12 days to complete a job, how many days would 9 workers take?

Accepted Answer

4 days

Answer

2 days

Answer

3 days

Answer

6 days

Question 9

What is the ratio of vowels to consonants in the word EDUCATION?

Accepted Answer

5:4

Answer

4:5

Answer

3:6

Answer

6:3

Question 10

A car travels 240 km in 3 hours. At the same speed, how far will it travel in 5 hours?

Accepted Answer

400 km

Answer

300 km

Answer

360 km

Answer

480 km

Question 11

Three friends share a prize of £900 in the ratio 1:2:3. What is the largest share?

Accepted Answer

£450

Answer

£150

Answer

£300

Answer

£600

Question 12

If y is directly proportional to x, and y=20 when x=4, what is y when x=7?

Accepted Answer

35

Answer

28

Answer

40

Answer

56

Question 13

What is 3/5 written as a ratio?

Accepted Answer

3:5

Answer

5:3

Answer

3:8

Answer

5:8

Question 14

The ratio of boys to girls in a class is 3:4. There are 21 boys. How many students in total?

Accepted Answer

49

Answer

28

Answer

35

Answer

42

Question 15

If x:y = 2:5 and y = 35, find x.

Accepted Answer

14

Answer

7

Answer

10

Answer

70

Question 16

A scale drawing uses 1 cm to represent 5 m. A wall is 9 cm on the drawing. How long is the real wall?

Accepted Answer

45 m

Answer

9 m

Answer

14 m

Answer

50 m

Question 17

Increase £80 in the ratio 5:4.

Accepted Answer

£100

Answer

£64

Answer

£160

Answer

£200

Question 18

If it takes 6 hours to fill a tank with 4 pipes, how long with 8 pipes?

Accepted Answer

3 hours

Answer

1.5 hours

Answer

2 hours

Answer

12 hours

Question 19

Write 40% as a ratio in simplest form.

Accepted Answer

2:5

Answer

40:100

Answer

4:10

Answer

2:3

Question 20

Gold alloy contains gold and silver in the ratio 7:3. How much gold is in 500g of the alloy?

Accepted Answer

350g

Answer

150g

Answer

200g

Answer

300g