# Equivalent ratios

## Lesson details

### Key learning points

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

### Licence

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.

## Video

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## Worksheet

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## Starter quiz

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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
Correct answer: 6 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 …. : ....
Correct answer: 2 : 7
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

## Exit quiz

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### 5 Questions

Q1.
Fill in the gaps: If the proportion between the ____________ is constant, then the ratios are __________________.
proportions, equivalent
proportions, the same
Correct answer: ratios, equivalent
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
Correct answer: 3 : 15 : 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
Correct answer: B and C
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
Correct answer: 12 : 30
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
Correct answer: 1 : 2.5
1 : 5
2 : 1