Multiplicative relationships in context | Maths | Quizalize & Oak National Academy

Starter quiz

Here is a ratio table showing how to make a smoothie. Select which of the following multiplicative relationships show this ratio.
- Number of smoothies × 8 = Slices of apple ✓
- Slices of apples × 0.5 = Slices of banana ✓
- Slices of banana × 25 = Amount of milk ✓
- Slices of banana × 50 = Amount of yogurt ✓
- Amount of milk × 0.5 = Amount of yogurt
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?
- 2 eggs and 3 sugars
- 6 eggs and 9 sugars
- 10 eggs and 15 sugars
- 7 eggs and 10.5 sugars
- 9 eggs and 13 sugars ✓
Work out how many slices of apple are needed to make 12 smoothies if 8 slices of apple are needed for 1 smoothie.
- '96' ✓
The ratio table can be used to make a cake. How many bananas are needed when 600 g of sugar is used?
- '9' ✓
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.
- '1500' ✓
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.
- '10' ✓

This multiplicative relationship applies to lots of real life contexts. Select which of the following show real life use of ratio.
- recipes ✓
- currency conversion ✓
- lowest common multiple
- reciprocals
For every £2, you get $3. This means for every \pounds1, you receive$ ______.
- '1.50' ✓
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.
- 1 carrot, 2 potatoes and 1 stock cube ✓
- 4 carrots, 4 potatoes and 1 stock cubes
- 8 carrot, 3 potatoes and 2 stock cubes
Here is a ratio table showing the conversion from pounds (£) to USA dollars ($). Select the incorrect ratio.
- £1 to $1.25
- £3 to $3.75
- £11 to $12.50 ✓
- £15 to $18.75
Select the statements which are equivalent to "For every £1, you get €2.50"
- For every £12, you get €30 ✓
- For every £5, you get €37.50 ✓
- For every €12, you get £30 ✓
- For every £0.80, you get €1.40
- For every €27.50, you get £11 ✓
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.

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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.

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.