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Understand Recipe-Style Questions

In this worksheet, students will practise solving problems involving recipe style questions.

'Understand Recipe-Style Questions' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Ratio, Proportion and Rates of Change, Direct and Inverse Proportion

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Ratio and proportion questions are now very common on GCSE exam papers, where they can make up as much as 40% of the paper. 

 

One of the most common ways for examiners to test knowledge of ratio and proportion is using recipe-style questions.

 

Let's look at an example before we try to solve some ourselves. 

 

 

 

e.g.  The recipe below shows the ingredients required to make 12 biscuits. 

 

 

 

a) How much flour is needed to make 9 biscuits instead?

 

Firstly, we need to find the Highest Common Factor (HCF) of 12 and 9.

This is 3.

 

We now to work out how much flour is needed for 3 biscuits:

12 biscuits = 200 g of flour

3 biscuits = 50 g of flour (200 ÷ 4)

 

As we now know how much flour is needed for 3 biscuits, we can multiply this by three to find the amount needed for 9:

9 biscuits = 150 g of flour (50 × 3)

 

So 150 g of flour is needed to make 9 biscuits using this recipe. 

 

 

 

b) How many biscuits can we make if we have 1 kg of flour and plenty of each of the other ingredients?

 

In this question, the amount of flour we have is what will limit the amount of biscuits we can make. 

 

We have 1 kg or 1000 g of flour.

Each batch of 12 biscuits needs 400 g of flour:

1000 ÷ 400 = 2.5 batches of biscuits 

 

1 batch = 12 biscuits so 2.5 batches = 12 × 2.5 = 30 biscuits

 

So 30 biscuits can be made according to this recipe and using 1 kg of flour. 

 

 

 

In this activity, we will apply our knowledge of ratio and proportion in recipe-style questions, where we may be asked to find the value of an ingredient required to make an alternative amount or to find how many can be made with a different amount of one ingredient. 

Type a word into the space to complete the sentence below. 

A recipe for scones is shown below.

 

 

How much flour would be needed to make 20 scones instead?

45 g

225 g

900 g

A recipe for scones is shown below.

 

 

How much butter would be needed to make 15 scones instead?

 

Take care to only write numbers in the space, as the unit of measurement has already been provided for you. 

45 g

225 g

900 g

A recipe for scones is shown below.

 

 

If we have 1 kg of flour, can we make 30 scones?

Yes

No

A recipe for cake is shown below.

 

 

If we have 500 g of sugar, how many cakes could we make?

Yes

No

A recipe for cake is shown below.

 

 

If we have 10 eggs, can I make 6 cakes?

Yes

No

A recipe for cake is shown below.

 

 

If we have 1.5 kg of flour and plenty of the other ingredients, how many cakes can we make?

Yes

No

A recipe for omelettes is shown below.

 

 

If we have 200 eggs, how many whole omelettes can we make?

Yes

No

A recipe for omelettes is shown below.

 

 

Ben has alternative amounts of each ingredient in his house. 

 

For each ingredient, state how many omelettes can be made, then put these facts together to find the maximum number that can be made overall using the ingredients Ben has.

 Number of Omelettes
20 eggs
100 g of butter
Maximum Omelettes?

A recipe for omelettes is shown below.

 

 

Match each ingredient on the left to the correct amount of omelettes it can be used to make on the right. 

Column A

Column B

10 eggs
16 omelettes
48 eggs
2 omelettes
40 g of butter
3 omelettes
200 g of butter
10 omelettes
  • Question 1

Type a word into the space to complete the sentence below. 

CORRECT ANSWER
EDDIE SAYS
Recipe-style questions are used to test our understanding of proportion. Proportion refers to a part, share, or number considered in relation to a whole. Did you remember this key fact from the Introduction? Review this now, before you move on to the rest of this activity, if you need to.
  • Question 2

A recipe for scones is shown below.

 

 

How much flour would be needed to make 20 scones instead?

CORRECT ANSWER
900 g
EDDIE SAYS
The relationship between 10 and 20 is that 20 is double 10. As we need to work out how much flour is needed for 20 scones: 10 scones = 450 g of flour 20 scones = 900 g of flour (450 × 2) So 900 g of flour is needed to make 20 scones using this recipe.
  • Question 3

A recipe for scones is shown below.

 

 

How much butter would be needed to make 15 scones instead?

 

Take care to only write numbers in the space, as the unit of measurement has already been provided for you. 

CORRECT ANSWER
EDDIE SAYS
Firstly, we need to find the Highest Common Factor (HCF) of 10 and 15. This is 5. We now to work out how much butter is needed for 5 scones: 10 scones = 100 g of butter 5 scones = 50 g of butter (100 ÷ 2) As we now know how much butter is needed for 5 scones, we can multiply this by 3 to find the amount needed for 15: 15 scones = 150 g of butter (50 × 3) So 150 g of butter is needed to make 15 scones using this recipe.
  • Question 4

A recipe for scones is shown below.

 

 

If we have 1 kg of flour, can we make 30 scones?

CORRECT ANSWER
No
EDDIE SAYS
The easiest way to solve this question is to find out how much flour we would need to make 30 scones, then compare this to how much we have. If we need 450 g for 10 scones, we would need 3 times as much for 30 scones: 450 × 3 = 1350 g of flour As we only have 1 kg of flour (or 1000 g), we do not have enough to make 30 scones according to this recipe.
  • Question 5

A recipe for cake is shown below.

 

 

If we have 500 g of sugar, how many cakes could we make?

CORRECT ANSWER
EDDIE SAYS
Let's start by working out how much sugar we need for 1 cake. 2 cakes = 300 g of sugar 1 cake = 150 g of sugar (300 ÷ 2) Now let's work up and find the amounts of sugar needed for 1 more cake in each case: 3 cakes = 450 g of sugar 4 cakes = 600 g of sugar We need to assume that we cannot make part of a cake, so the maximum number of cakes we can make is 3 and we will have 50 g of sugar left over.
  • Question 6

A recipe for cake is shown below.

 

 

If we have 10 eggs, can I make 6 cakes?

CORRECT ANSWER
No
EDDIE SAYS
Once again, this is about finding out how many batches we can make with the ingredients which we have. In the original recipe, 4 eggs are used to make 2 cakes: 10 eggs ÷ 4 = 2.5 batches There are 2 cakes in each batch: 2.5 × 2 = 5 So we can make 5 cakes in total, which is less than the target of 6.
  • Question 7

A recipe for cake is shown below.

 

 

If we have 1.5 kg of flour and plenty of the other ingredients, how many cakes can we make?

CORRECT ANSWER
EDDIE SAYS
In this question, the amount of flour we have is what will limit the amount of cakes we can make. We have 1.5 kg or 1500 g of flour. Each batch of 2 cakes needs 300 g of flour: 1500 ÷ 300 = 5 batches of cakes 1 batch = 2 cakes so 5 batches = 5 × 2 = 10 cakes So 10 cakes can be made according to this recipe and using 1.5 kg of flour.
  • Question 8

A recipe for omelettes is shown below.

 

 

If we have 200 eggs, how many whole omelettes can we make?

CORRECT ANSWER
EDDIE SAYS
We have 200 eggs. Each single omelette needs 3 eggs: 200 ÷ 3 = 66.67 omelettes (to 2 decimal places) The common mistake here is to say that we can make 66.67 omelettes or to round up to 67 omelettes. Can you make 2/3 of an omelette? This is not possible, so we need to round this answer down to the nearest whole number. So 66 whole omelettes can be made according to this recipe and using 200 eggs.
  • Question 9

A recipe for omelettes is shown below.

 

 

Ben has alternative amounts of each ingredient in his house. 

 

For each ingredient, state how many omelettes can be made, then put these facts together to find the maximum number that can be made overall using the ingredients Ben has.

CORRECT ANSWER
 Number of Omelettes
20 eggs
100 g of butter
Maximum Omelettes?
EDDIE SAYS
If Ben has 20 eggs, he can make: 20 ÷ 3 = 6.7 omelettes This needs to be rounded down to 6 whole omelettes. If Ben has 100 g of butter, he can make: 100 ÷ 20 = 5 omelettes Now we need to say how many omelettes he can make overall. This is always the lower of the two values as we need to combine both facts. Ben couldn't make a 6th omelette with his remaining eggs, if he had already run out of butter, could he?
  • Question 10

A recipe for omelettes is shown below.

 

 

Match each ingredient on the left to the correct amount of omelettes it can be used to make on the right. 

CORRECT ANSWER

Column A

Column B

10 eggs
3 omelettes
48 eggs
16 omelettes
40 g of butter
2 omelettes
200 g of butter
10 omelettes
EDDIE SAYS
To find the matches here, we simply need to divide each amount by the requirements given in the recipe. We also need to remember that we cannot make part of an omelette, so when we reach a decimal amount, we need to round down. If we had 10 eggs, we could make 3 whole omelettes (10 ÷ 3). If we had 48 eggs, we could make 16 whole omelettes (48 ÷ 3). If we had 40 g of butter, we could make 2 whole omelettes (40 ÷ 20). If we had 200 g of butter, we could make 10 whole omelettes (200 ÷ 20). You can now apply your knowledge of ratio and proportion in recipe-style questions to find the value of an ingredient required to make an alternative amount or to find how many can be made with a different amount of one ingredient. Why not practise cooking with some real recipes now and using some alternative amounts of your own?
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