Where can I download free fraction of an amount PDF worksheets with answers?

On this MathsLinks page you can download free printable fraction of an amount PDF worksheets (Qs) and full worked solutions or mark schemes (Ans) from Ken Stafford, Ken Stafford (1), Maths Genie, Corbett Practice, Corbett Textbook, plus a printable one-page fraction of an amount revision guide.

What GCSE grade is fraction of an amount (2D)?

Fraction of an amount (topic code 2D) is a Grade 2 number topic in GCSE Maths for Edexcel, AQA, OCR, Eduqas and IGCSE specifications.

Free Fraction of an amount Worksheets (PDF) with Answers — GCSE Maths

Free Fraction of an amount PDF Worksheets & Answers

Grade 2 • Topic 2D

Resource	Questions	Answers
Ken Stafford GCSE past paper questions & solutions	Qs	Ans
Ken Stafford (1) Practice worksheet & worked 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 Austin Practice grid / worksheet & answers	Qs	Ans
Maths4EveryOne KS2 SATs questions & solutions	Qs	Ans
GCSE Maths Rocket Practice questions & 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
The Maths Room Online topic notes & examples	Page
esheets Self-marking online worksheet	Page

Grade 2 topics
2A - Calculation problems	2B - Using a calculator
2C - Systematic listing	2D - Fraction of an amount
2E - FDP	2F - Simplifying algebra
2G - Writing an expression	2H - Function machines
2J - Solving one step equations	2K - Angles
2L - Area and perimeter	2M - Reading scales
2N - Probability & Probability Scale	2P - Frequency polygons
2Q - Unitary method	2R - Bar charts
2S - Pie charts	2T - Averages
2U - Stem and leaf diagrams

Explanation:

To find a fraction of an amount without a calculator, remember the rule: “Divide by the bottom (denominator), then multiply by the top (numerator)”. Dividing first keeps the numbers small and easy to work with.

In multi-step word problems, pay close attention to whether the question asks for the fraction itself or for the amount remaining (subtract your answer from the starting total).

Example 1: Work out 38 of £72

Solution:

Step 1: Divide by the denominator (8) to find 18:

• £72 ÷ 8 = £9

Step 2: Multiply by the numerator (3) to find 38:

• £9 × 3 = £27

Answer: £27

Example 2: Of 420 pupils, 37 walk to school, 25 catch the bus, and the rest cycle. How many pupils cycle?

Solution:

• Walk: (420 ÷ 7) × 3 = 60 × 3 = 180 pupils

• Bus: (420 ÷ 5) × 2 = 84 × 2 = 168 pupils

• Walk + Bus: 180 + 168 = 348 pupils

• Cycle: 420 − 348 = Answer: 72 pupils

Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Fraction of an amount Questions & Answers

10-Question Interactive Quiz More Past Paper Questions

Past Paper Example 1 Eduqas Jun 2017 2F Q14 3 marks

Full Paper (PDF) • Mark Scheme (PDF)

Daniel has a piece of rope.
58 of the total length of the rope is 240 cm.

Calculate the total length of the rope.

Worked Solution & Mark Scheme (3 marks)

58 of length = 240 cm. M1
18 of length = 240 ÷ 5 = 48 cm M1
Total length (88) = 48 × 8 = 384 cm. A1

Answer: 384 cm (or 3.84 m)

Past Paper Example 2 GCSE Jun 2017 3F Q4 2 marks

Full Paper (PDF) • Mark Scheme (PDF)

Work out
45 of a number is 32
Find the number.

Worked Solution & Mark Scheme (2 marks)

(32 ÷ 4) × 5 = 8 × 5 = 40 M1 A1

Answer: 40

Past Paper Example 3 IGCSE Jun 2025 2FR Q7 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

Raymond sells 80 burgers for a total of £176
15 of the burgers are large.
Each large burger costs £3
The remaining burgers are small.
Work out the cost of one small burger.

Worked Solution & Mark Scheme (4 marks)

Large burgers = 1/5 × 80 = 16 M1
cost of large = 16 × £3 = £48 M1
Small burgers = 80 − 16 = 64 M1
total cost of small = 176 − 48 = £128
Cost of 1 small burger = 128 ÷ 64 = £2. A1

Answer: £ 2

← 2C Systematic listing

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Fraction of an amount

Free Fraction of an amount PDF Worksheets & Answers

Guide to Fraction of an amount: Explanation, Diagrams & Worked Examples

GCSE Past Paper Fraction of an amount Questions & Answers