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Unitary method

Free Printable Unitary method PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 2)

Download free unitary method worksheets (PDF), GCSE maths past paper questions and worked solutions for Unitary method (2Q). This is a Grade 2 ratio & proportion topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Corbett Maths, Maths DIY, Dr Austin, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our unitary method revision notes and worked examples with diagrams, try real GCSE past paper unitary method questions with step-by-step solutions, or download a PDF of all unitary method worksheet links.

Free Unitary method PDF Worksheets & Answers

Grade 2 • Topic 2Q
Resource Questions Answers
Question booklet & answer sheet
 Qs Ans
Textbook Exercise & answers
 Qs Ans
Exam-style booklet & solutions
 Qs Ans
Practice grid / worksheet & answers
 Qs Ans
Practice grid / worksheet & answers
 Qs Ans
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
Self-marking online worksheet
 Page
Grade 2 topics
2A - Calculation problems2B - Using a calculator
2C - Systematic listing2D - Fraction of an amount
2E - FDP2F - Simplifying algebra
2G - Writing an expression2H - Function machines
2J - Solving one step equations2K - Angles
2L - Area and perimeter2M - Reading scales
2N - Probability & Probability Scale2P - Frequency polygons
2Q - Unitary method2R - Bar charts
2S - Pie charts2T - Averages
2U - Stem and leaf diagrams
GCSE Maths Grade 2 Revision Notes & Method

Guide to Unitary method: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

The unitary method solves direct proportion problems in two clear steps: first divide to find the value of 1 unit (one item, 1 g, or 1 ml), and then multiply by the number of units you need.

Writing down the value of 1 item clearly in the middle of your working guarantees method marks and avoids mistakes when scaling recipes, weights, or costs.

Example 1: 5 identical notebooks cost £6.75.
Work out the total cost of 8 of these notebooks.

Solution:

Step 1: Divide by 5 to find the cost of 1 notebook:
• £6.75 ÷ 5 = £1.35
Step 2: Multiply by 8 to find the cost of 8 notebooks:
• £1.35 × 8 = £10.80
Answer: £10.80

Example 2: A recipe for 6 flapjacks uses 150 g of oats.
How many grams of oats are needed to make 15 flapjacks?

Solution:

Step 1: Divide by 6 to find oats for 1 flapjack:
• 150 g ÷ 6 = 25 g per flapjack
Step 2: Multiply by 15 for 15 flapjacks:
• 25 g × 15 = 375 g
Answer: 375 g
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Unitary method Questions & Answers

Past Paper Example 1 GCSE May 2024 1F Q16 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
Batteries are sold in packs of 4, in packs of 8 and in packs of 12
£1.80£3.20£6.00
A pack of 4 batteries costs £1.80
A pack of 8 batteries costs £3.20
A pack of 12 batteries costs £6.00
Which pack gives the best value for money?
You must show how you get your answer.
Worked Solution & Mark Scheme (3 marks)
Pack of 4: £1.80 ÷ 4 = 45p per battery M1
Pack of 8: £3.20 ÷ 8 = 40p per battery M1
Pack of 12: £6.00 ÷ 12 = 50p per battery → Pack of 8 gives the best value for money A1
Answer: Pack of 8 (40p per battery vs 45p and 50p)
Past Paper Example 2 GCSE Nov 2024 2F Q22 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
Choci bar200 g£3.50LondonChoci bar360 g7.20 Swiss francsZurich
In London, a 200 g Choci bar costs £3.50. In Zurich, a 360 g Choci bar costs 7.20 Swiss francs. £1 = 1.25 Swiss francs. In which city is the Choci bar better value for money?
In London, a 200 g Choci bar costs £3.50
In Zurich, a 360 g Choci bar costs 7.20 Swiss francs.
The exchange rate is £1 = 1.25 Swiss francs.
In which city is the Choci bar the better value for money, in London or in Zurich?
You must show how you get your answer.
Worked Solution & Mark Scheme (3 marks)
7.20 ÷ 1.25 = £5.76 M2
£5.76 ÷ 360 = 1.6p per gram vs £3.50 ÷ 200 = 1.75p per gram ⇒ Zurich A1
Answer: Zurich (London = 1.75p/g; Zurich = £5.76 for 360 g = 1.6p/g)

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