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Year 7

Multiplicative relationships in context

I can appreciate that any two numbers can be connected via a multiplicative relationship.

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Year 7

Multiplicative relationships in context

I can appreciate that any two numbers can be connected via a multiplicative relationship.

Download all resources
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Share activities with pupils
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These resources will be removed by end of Summer Term 2025.

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Lesson details

Key learning points

  1. A multiplicative relationship is a proportional relationship.
  2. Real-life contexts include converting money.
  3. This multiplier can be thought of as a scaling factor.

Keywords

  • Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.

Common misconception

Only seeing multiplication as repeated addition leads to incorrect additive strategies for ratios.

Focus on the multiplicative relationships between parts to whole or whole to parts. Ratios allow the multiplicative relationship to be seen.


To help you plan your year 7 maths lesson on: Multiplicative relationships in context, download all teaching resources for free and adapt to suit your pupils' needs...

Pupils can create their own currency and calculate the multiplier from GBP to their currency as well as the multiplier from their currency to GBP. Pupils can create their own questions and peer assess one another.
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This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Starter quiz

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6 Questions

Q1.
Here is a ratio table showing how to make a smoothie. Select which of the following multiplicative relationships show this ratio.
An image in a quiz
Correct answer: Number of smoothies × 8 = Slices of apple
Correct answer: Slices of apples × 0.5 = Slices of banana
Correct answer: Slices of banana × 25 = Amount of milk
Correct answer: Slices of banana × 50 = Amount of yogurt
Amount of milk × 0.5 = Amount of yogurt
Q2.
Here is a ratio table showing the ratio between eggs and sugar in a pudding. For every 2 parts eggs, there are 3 parts sugar in the pudding. Which of the rows is incorrect?
An image in a quiz
2 eggs and 3 sugars
6 eggs and 9 sugars
10 eggs and 15 sugars
7 eggs and 10.5 sugars
Correct answer: 9 eggs and 13 sugars
Q3.
Work out how many slices of apple are needed to make 12 smoothies if 8 slices of apple are needed for 1 smoothie.
Correct Answer: 96, 96 slices of apple
Q4.
The ratio table can be used to make a cake. How many bananas are needed when 600 g of sugar is used?
An image in a quiz
Correct Answer: 9, nine
Q5.
The ratio table can be used to make some cakes. Sofia uses 15 eggs to make some cakes for the school fete. Sofia should use g of flour.
An image in a quiz
Correct Answer: 1500, 1500g, 1500 g
Q6.
The ratio table can be used to make some cakes. Andeep uses 1 kg of flour to make some cakes for the school fete. Andeep should use eggs.
An image in a quiz
Correct Answer: 10, ten, 10 eggs

Exit quiz

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6 Questions

Q1.
This multiplicative relationship applies to lots of real life contexts. Select which of the following show real life use of ratio.
Correct answer: recipes
Correct answer: currency conversion
lowest common multiple
reciprocals
Q2.
For every £2, you get $3. This means for every £1, you receive $ .
Correct Answer: 1.50, 1.5, $1.50, 1.50 $, 1.50$
Q3.
To make vegetable soup, Jun needs 8 carrots, 4 potatoes, 200 ml water and 2 stock cubes. Jun has 23 carrots, 10 potatoes, 600 ml of water and 5 stock cubes. What must be added for the correct ratio?
Nothing. The ratio is correct.
Correct answer: 1 carrot, 2 potatoes and 1 stock cube
4 carrots, 4 potatoes and 1 stock cubes
8 carrot, 3 potatoes and 2 stock cubes
Q4.
Here is a ratio table showing the conversion from pounds (£) to USA dollars ($). Select the incorrect ratio.
An image in a quiz
£1 to $1.25
£3 to $3.75
Correct answer: £11 to $12.50
£15 to $18.75
Q5.
Select the statements which are equivalent to "For every £1, you get €2.50"
Correct answer: For every £12, you get €30
Correct answer: For every £5, you get €37.50
Correct answer: For every €12, you get £30
For every £0.80, you get €1.40
Correct answer: For every €27.50, you get £11
Q6.
Starting with the best exchange rate, put the exchange rates for converting £ to $ in order from best to worst. (I.e. the more dollars you get per pound is the best exchange rate.)
1 - For every £3, you get $4.50
2 - For every £12, you get $15.60
3 - For every £50, you get $60
4 - For every £1, you get $1.