Where can I download free proportion recipes PDF worksheets with answers?

On this MathsLinks page you can download free printable proportion recipes PDF worksheets (Qs) and full worked solutions or mark schemes (Ans) from Ken Stafford, Maths Genie, Corbett Practice, Corbett Textbook, Dr Frost, plus a printable one-page proportion recipes revision guide.

What GCSE grade is proportion recipes (3F)?

Proportion recipes (topic code 3F) is a Grade 3 ratio & proportion topic in GCSE Maths for Edexcel, AQA, OCR, Eduqas and IGCSE specifications.

Free Proportion recipes Worksheets (PDF) with Answers — GCSE Maths

Free Proportion recipes PDF Worksheets & Answers

Grade 3 • Topic 3F

Resource	Questions	Answers
Ken Stafford GCSE past paper questions & solutions	Qs	Ans
Maths Genie Graded exam questions & solutions	Qs	Ans
Corbett Practice Practice Questions & answers	Qs	Ans
Corbett Textbook Textbook Exercise & answers	Qs	Ans
Dr Frost GCSE worksheet & solutions	Qs	Ans
Metatutor Topic worksheet & worked solutions	Qs	Ans
Maths4EveryOne KS2 SATs questions & solutions	Qs	Ans
Maths Takeaway GCSE Maths Takeaway exam questions	Qs	Ans
Dr Frost (B. Blocks) Building Blocks skill sheet & answers	Qs	Ans
E Classroom GCSE topic booklet & answers	Qs	Ans
PMT (Edxl) Edexcel GCSE topic questions & solutions	Qs	Ans
PMT (AQA) AQA GCSE topic questions & solutions	Qs	Ans
PMT (IGCSE) Edexcel IGCSE topic questions & solutions	Qs	Ans
esheets Self-marking online worksheet	Page

Grade 3 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

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

Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Proportion recipes Questions & Answers

10-Question Interactive Quiz More Past Paper Questions

Past Paper Example 1 Specimen Set 2 2F Q15 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

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 & Mark Scheme (4 marks)

Part (a) Solution:

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)

Part (b) Solution:

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)

Past Paper Example 2 IGCSE Jun 2019 2FR Q14 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

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 & Mark Scheme (4 marks)

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

Past Paper Example 3 IGCSE Jun 2024 1F Q11 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

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 & Mark Scheme (4 marks)

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

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Proportion recipes

Free Proportion recipes PDF Worksheets & Answers

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GCSE Past Paper Proportion recipes Questions & Answers