Ratios & Ratio Tables — Practice

A ratio compares two amounts, and scaling both by the same factor leaves it unchanged.

What these questions cover

These questions use 1 idea from the course. Follow any of them for a definition, where it is taught, and what it leads to.

Problem 1

Write 12 : 18 in its simplest form, as a:b.

Worked answer

2:3

2:3

Problem 2

Write 10 : 25 in its simplest form.

Worked answer

2:5

2:5

Problem 3

Complete the equivalent ratio 3 : 4 = 9 : ?

Worked answer

12

4 × 3 = 12

Problem 4

Complete the equivalent ratio 2 : 5 = ? : 20

Worked answer

8

2 × 4 = 8

Problem 5

A mix is 2 blue to 3 yellow. What is the ratio of yellow to blue?

  1. 3:2
  2. 2:3
  3. 2:5
  4. 3:5
Worked answer

3:2

Yellow first this time

Problem 6

A recipe uses 2 cups of flour to 3 eggs. How much flour for 12 eggs?

Worked answer

8

2 × 4 = 8 cups

Problem 7

A model uses 5 cm for every 2 m. How many cm for 8 m?

Worked answer

20

5 × 4 = 20

Problem 8

A mix is 2 blue to 3 yellow. What fraction of the mix is blue?

Worked answer

2/5

2+3 = 5 parts

25

Problem 9

A mix is 3 red to 5 white. What fraction is white?

Worked answer

5/8

58

Problem 10

Share $40 in the ratio 3:5. How much is the smaller share?

Worked answer

15

8 parts, so one part is $5

3 × 5 = $15

Problem 11

Share $40 in the ratio 3:5. How much is the larger share?

Worked answer

25

5 × 5 = $25

Problem 12

Share 72 sweets in the ratio 4:5. How many in the larger share?

Worked answer

40

One part = 8

5 × 8 = 40

Problem 13

A mix is 2 blue to 3 yellow. If there are 12 tins of blue, how many of yellow?

Worked answer

18

3 × 6 = 18

Problem 14

In a class the ratio of boys to girls is 3:4. There are 12 boys. How many students altogether?

Worked answer

28

One part = 4

7 parts = 28

Problem 15

Which ratio is NOT equivalent to 2:3?

  1. 3:4
  2. 4:6
  3. 10:15
  4. 20:30
Worked answer

3:4

3:4 comes from adding one to each, which does not preserve a ratio

Problem 16

A 30 cm ribbon is cut in the ratio 1:2:3. How long is the longest piece?

Worked answer

15

One part = 5 cm

3 × 5 = 15

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