# Equivalent ratios

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## Lesson details

### Key learning points

- In this lesson, we will learn how to represent ratios pictorially and use these representations to justify the equivalence of ratios.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Fill in the gap: Two quantities are said to be in the same ratio, if there is an equivalent _____________ relationship between them.

proportion

ratio

times

Q2.

Fill in the gap: 2 litres of red paint and 5 litres of white paint are in the same_______ as 5 litres of red paint and 12.5 litres of white paint.

multiplicative

proportion

times

Q3.

I mix 2 litres of squash with 3 litres of water. I need more that tastes the same. How much squash should I mix with 9 litres of water?

2 centilitres

27 litres

4 litres

Q4.

Fill in the missing ratio: I mix 2 litres of squash with 7 litres of water. The ratio of squash to water is …. : ....

2 : 9

7 : 2

9 : 7

Q5.

Fill in the missing number: I mix 4 litres of yellow paint with 10 litres of red paint. The ratio of yellow to red is …. : 5.

3

4

5

### 5 Questions

Q1.

Fill in the gaps: If the proportion between the ____________ is constant, then the ratios are __________________.

proportions, equivalent

proportions, the same

ratios, the same

Q2.

The ratio of the top bar is 1 : 5 : 2. What is the equivalent ratio shown on the bottom bar?

3 : 12 : 6

3 : 14 : 6

3 : 16 : 6

Q3.

Squash and water are mixed in the following ratios to make a drink. Which drinks will taste the same? A) 4:10 B) 3:8 C) 9:24 D) 15:25

A and B and C

A and D

All of them

None of them

Q4.

Light green paint is mixed with green : white as 2: 5. What ratio would be needed for 12 units of green?

12 : 12

12 : 20

12 : 5

Q5.

Light green paint is mixed with green : white as 2: 5. Write the ratio for the white paint needed for 1 unit of green.

1 : 1

1 : 5

2 : 1