Proportion recipes Quiz (Grade 3)

Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8/9

Topic:

Score: 0 / 10

Proportion recipes — Notes & Worked Examples Show / Hide

Explanation:

Recipe questions use direct proportion. To scale a recipe for a different number of people, either use the unitary method (divide by the original number of servings to find the amount for 1 person, then multiply by the new number) or multiply by a scale factor (NewOld).

When asked for the maximum number of items you can make from given supplies, divide the available amount of each ingredient by the amount needed for one batch. The smallest result is the limiting ingredient and determines the maximum you can make.

Example 1: A recipe for 8 Flapjacks uses 120 g of oats and 60 g of butter. How much of each is needed for 20 Flapjacks?

Solution:

Scale factor = 20 ÷ 8 = 2.5

Oats = 120 g × 2.5 = 300 g

Butter = 60 g × 2.5 = 150 g

Answer: 300 g oats, 150 g butter

Example 2: Making 12 cookies needs 150 g flour and 90 g sugar. Sam has 600 g flour and 270 g sugar. Find the maximum cookies Sam can make.

Solution:

Flour batches: 600 ÷ 150 = 4 batches

Sugar batches: 270 ÷ 90 = 3 batches (limiting)

Max cookies = 3 batches × 12 cookies

Answer: 36 cookies

One Page Guide (PDF) Proportion recipes Worksheets

Question 1

[1 mark]

A recipe for 6 pancakes uses 240 g of flour.
How much flour is needed to make 10 pancakes?

Worked Solution & Answer

2406 × 10 = 400 g B1

Answer: 400 g g

Question 2

[1 mark]

A recipe for 4 pancakes uses 160 g of flour.
How much flour is needed to make 15 pancakes?

Worked Solution & Answer

1604 × 15 = 600 g B1

Answer: 600 g g

Question 3

[3 marks]

Here is the list of ingredients for making 30 biscuits.

Lucas has the following ingredients.
[INDENT]900 g butter
[INDENT]1000 g caster sugar
[INDENT]1000 g plain flour
[INDENT]225 g chocolate chips
What is the greatest number of biscuits Lucas can make?
You must show your working.

Worked Solution & Answer

Batches possible: Butter 900 ÷ 225 = 4 M1
Sugar 1000 ÷ 110 = 9.09 M1
Flour 1000 ÷ 275 = 3.63
Choc chips 225 ÷ 75 = 3. Limiting factor is 3 batches → 3 × 30 = 90 biscuits A1

Answer: 90

Question Paper (PDF) • Mark Scheme (PDF)

Question 4

[3 marks]

Here are the ingredients needed to make 16 biscuits.

Anna has
[INDENT]500 g of butter
[INDENT]300 g of sugar
[INDENT]625 g of flour
Work out the greatest number of biscuits Anna can make.

Worked Solution & Answer

Butter: 500 ÷ 175 = 2.857 batches (45 biscuits) M1
Sugar: 300 ÷ 75 = 4 batches (64 biscuits) M1
Flour: 625 ÷ 250 = 2.5 batches ⇒ 2.5 × 16 = 40 biscuits (flour is limiting). A1

Answer: 40

Question Paper (PDF) • Mark Scheme (PDF)

Question 5 IGCSE Jun 2019 2FR Q14

[4 marks]

Maria is going to make blackcurrant pies.
Here is a list of ingredients to make 6 blackcurrant pies.

Maria has the following ingredients.
755 g of flour 1265 g of blackcurrants
685 g of sugar 950 g of butter
Work out the greatest number of blackcurrant pies that Maria can make using her ingredients.
Show your working clearly.

Worked Solution & Answer

For 1 pie: 25 g flour, 70 g blackcurrants, 28.33 g sugar, 15.83 g butter M1
Pies possible: Flour 755÷25 = 30.2 M1
Blackcurrants 1265÷70 = 18.07
Sugar 685÷(170/6) = 24.17 M1
Butter 950÷(95/6) = 60
Limiting ingredient is blackcurrants → 18 pies A1

Answer: 18

Question Paper (PDF) • Mark Scheme (PDF)

Question 6 IGCSE Jun 2024 1F Q11

[4 marks]

David is going to make some biscuits.

Here is a list of ingredients for making 24 biscuits.
David has
five 250 g packs of butter
750 g of sugar
1.4 kg of flour
Work out the maximum number of biscuits that David can make.
Show your working clearly.

Worked Solution & Answer

Butter: 5 × 250 = 1250 g → (1250 ÷ 120) × 24 = 250 biscuits M1
Sugar: (750 ÷ 60) × 24 = 300 biscuits M1
Flour: 1400 g → (1400 ÷ 200) × 24 = 7 × 24 = 168 biscuits M1
Limiting ingredient is flour ⇒ 168 biscuits. A1

Answer: 168

Question Paper (PDF) • Mark Scheme (PDF)

Question 7 Specimen Set 2 2F Q15

[4 marks]

Here is a list of ingredients for making chocolate mousse for 2 people.

Ellie has 250 grams of sugar and 550 grams of dark chocolate.
She assumes that she has plenty of lemon juice and plenty of eggs.

(a) What is the greatest number of people Ellie can make chocolate mousse for?
You must justify your answer. [3 marks]

(b) What effect would this have on the greatest number of people Ellie can make chocolate mousse for? [1 mark]

Worked Solution & Answer

(a)

Sugar: (250 ÷ 40) × 2 = 12.5 people M2
Chocolate: (550 ÷ 110) × 2 = 10 people ⇒ max 10 people A1

Answer (a): 10 people (Sugar: 250 ÷ 20 = 12.5 people; Dark chocolate: 550 ÷ 55 = 10 people)

(b)

1 egg per person, so 6 eggs makes mousse for 6 people C1

Answer (b): She can now only make chocolate mousse for 6 people (fewer people)

Question Paper (PDF) • Mark Scheme (PDF)

Question 8 IGCSE Jun 2025 2F Q17

[4 marks]

Here is a list of ingredients to make spaghetti carbonara for 4 people.

(a) Work out how much cheese he needs. [2 marks]

(b) Work out how many people Ruhi makes the spaghetti carbonara for. [2 marks]

Worked Solution & Answer

(a)

(12 ÷ 4) × 50 = 3 × 50 = 150 g M1 A1

Answer (a): 150 g

(b)

(180 ÷ 40) × 4 = 4.5 × 4 = 18 people M1 A1

Answer (b): 18

Question Paper (PDF) • Mark Scheme (PDF)

Question 9 Practice Set 3 3F Q10

[4 marks]

Here are the ingredients needed to make 10 pancakes.

(a) Work out how much flour he uses. [2 marks]

(b) Work out how many pancakes she makes. [2 marks]

Worked Solution & Answer

(a)

3 × 120 = 360 g M1 A1

Answer (a): 360 g

(b)

(750 ÷ 300) × 10 = 2.5 × 10 = 25 pancakes M1 A1

Answer (b): 25

Question Paper (PDF) • Mark Scheme (PDF)

Question 10

[5 marks]

Heidi wants to make some biscuits using this recipe.

Heidi thinks that she has,
500 g butter
700 g flour
250 g sugar
Assuming that these weights are correct,

(a) work out the greatest number of biscuits Heidi can make.
You must show all your working. [4 marks]

(b) Does this affect the greatest number of biscuits Heidi can make?
Give a reason for your answer. [1 mark]

Worked Solution & Answer

(a)

Butter: 500÷125 = 4 batches (48) M1
Flour: 700÷200 = 3.5 batches (42) M1
Sugar: 250÷50 = 5 batches (60) M1
Max = 42 A1

Answer (a): 42

(b)

No, flour is the limiting ingredient C1

Answer (b): No, because flour is the limiting ingredient (she only has enough flour for 42 biscuits)

Question Paper (PDF) • Mark Scheme (PDF)

Score: 0 / 10 (0 / 33 marks)

Proportion recipes Worksheets Next: Percentages →

Grade 3 Quizzes

24 Topics

3A - Error intervals	3B - Operations with fractions
3C - Estimation	3D - Writing and simplifying ratio
3E - Ratio	3F - Proportion recipes
3G - Percentages	3H - Percentage change
3J - Exchange rates	3K - Conversions and units
3L - Scale drawings	3M - Best buy questions
3N - Substitution	3P - Solving linear equations
3Q - Straight line graphs	3R - Area and circumference
3S - Rotations	3T - Reflections
3U - Enlargements	3V - Translations
3W - Mixed transformations	3X - Area of compound shapes
3Y - Frequency trees	3Z - Two way tables