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Ratio (Year 6)
For every 4 litres of petrol a car can travel 80km. 5 litres of petrol is required for a journey of 100km.

Ratio (Year 6)

Ratios in Year 6 Maths help pupils compare quantities, scale numbers, and solve problems involving recipes, maps, and models in everyday life.

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Fascinating Fact:

Ratios are used in recipes to scale them up or down, such as doubling all ingredients to serve twice as many people.

In KS2 Maths, pupils learn how to use ratios to compare quantities and maintain proportions. This skill helps with real-world applications such as adjusting recipes, reading scale drawings, and understanding map distances accurately.

  • Ratio: A comparison showing how much of one thing there is compared to another.
  • Proportion: A statement showing that two ratios are equal or balanced.
  • Scale: The relationship between a drawing or model and the real-life size of an object.
What is a ratio in Year 6 Maths?

A ratio is a way to compare two or more quantities. For example, a ratio of 2:3 means there are two parts of one thing for every three parts of another.

How are ratios used in real life?

Ratios are used in cooking, map reading, building models, and even mixing paint colours to make sure proportions stay correct and balanced.

What is the difference between ratio and proportion?

A ratio compares two quantities, while a proportion shows that two ratios are equal — for example, 1:2 is the same as 2:4.

1 .
There are 2 white cubes for every 1 blue cube. What proportion are blue cubes to white cubes?
13
14
15
12
1?2 is the same as 1:2
2 .
The proportion of brick houses is 310. How many brick houses in a street of 100 houses?
6
10
30
50
If 3?10 of the houses are brick, then 100 is 10 times 10 so we multiply by 10 to get 30?100
3 .
A biscuit recipe needs 250g flour, 150g of sugar and 150g of butter to make 6 biscuits. How much butter is needed to make 18 biscuits?
150g
300g
400g
450g
18 is 3 x 6 so we multiply 150g by 3
4 .
In every 12 tiles the proportion of blue tiles is 34. How many blue tiles in every 12?
3
6
8
9
3?4 of 12 is 9
5 .
For every 4 litres of petrol a car can travel 80km. How much petrol is required for a journey of 100km?
5 litres
8 litres
10 litres
12 litres
If 4 litres can travel 80km we divide by 4 to find 1 litre will travel 20km. So 5 litres will travel 100km
6 .
If there is a 10:1 ratio between black squares and white squares which number represents white squares?
1
2
5
10
The 10 represents black and the 1 represents white because black was mentioned first and white second
7 .
Jo mixes 400ml of orange juice to every 200ml of pineapple juice to make a fruit cocktail. How much orange juice will she need to make 900ml of fruit cocktail?
200ml
400ml
600ml
800ml
There is 400ml in every 600ml. 900ml = 1.5 x 600ml. So multiply 400ml by 1.5
8 .
In a grid of 10 squares 4 are white and the rest are blue. What is the ratio of white to blue?
1:2
2:4
4:6
5:6
10 - 4 = 6 so there are 6 blue squares for every 4 white squares
9 .
In every 10 tiles there are 2 red tiles. What is the proportion of red tiles?
13
14
15
12
2?10 and 2:10 are the same as 1?5 and 1:5
10 .
In a box of chocolates there are 4 milk chocolates to 3 dark chocolates. How many dark chocolates in a box of 49 chocolates?
7
21
28
30
There are 3 dark chocolates in every 7. There are seven 7s in 49 so we multiply 3 by 7
You can find more about this topic by visiting BBC Bitesize - How to convert ratios into fractions and percentages

Author:  Amanda Swift (Primary School Teacher & Educational Content Developer)

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