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Percentages

Free Printable Percentages PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 3)

Download free percentages worksheets (PDF), GCSE maths past paper questions and worked solutions for Percentages (3G). This is a Grade 3 number 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 Maths Genie, Maths4Everyone, Corbett Maths, Dr Frost, Maths DIY, Maths Takeaway, Dr Austin, 1st Class Maths, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

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

Free Percentages PDF Worksheets & Answers

Grade 3 • Topic 3G
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GCSE 9–1 practice booklet & solutions
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PMT (Edxl)
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PMT (AQA)
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PMT (IGCSE)
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GCSE Maths Grade 3 Revision Notes & Method

Guide to Percentages: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

On a non-calculator paper, break percentages down into building blocks: find 10% (÷ 10), 1% (÷ 100), 5% (half of 10%), and 50% (÷ 2), then add them together. On a calculator paper, convert the percentage to a decimal (÷ 100) and multiply.

To increase or decrease an amount by a percentage in one step, use a decimal multiplier: add the percentage to 100% for an increase (e.g. +15% → × 1.15), or subtract from 100% for a decrease (e.g. −15% → × 0.85).

Example 1 (Non-calc): Decrease £240 by 15%.

Solution:

10% of 240 = 240 ÷ 10 = £24
5% of 240 = 24 ÷ 2 = £12
15% = £24 + £12 = £36
Decrease: £240 − £36 = £204
Answer: £204

Example 2 (Calc): Increase £460 by 17.5%.

Solution:

100% + 17.5% = 117.5%
Multiplier = 117.5 ÷ 100 = 1.175
£460 × 1.175 = 540.5
Write money with 2 decimal places:
Answer: £540.50
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Percentages Questions & Answers

Past Paper Example 1 IGCSE Specimen 1F Q1 4 marks
Work out
(a) Write 12/15 as a fraction in its simplest form. (1)
(b) Shade 1/6 of the shape below. (1)
(c) Write 1/5 as a decimal. (1)
(d) Write 7/10 as a percentage. (1)
(a) Write 1215 as a fraction in its simplest form. [1 mark]
(b) Shade 16 of the shape below. [1 mark]
(c) Write 15 as a decimal. [1 mark]
(d) Write 710 as a percentage. [1 mark]
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
Divide numerator and denominator by 3: 12/15 = 4/5 B1
Answer (a): 45
Part (b) Solution:
18 ÷ 6 = 3 squares shaded B1
Answer (b): 3 squares shaded
Part (c) Solution:
1 ÷ 5 = 0.2 B1
Answer (c): 0.2
Part (d) Solution:
7/10 = 70/100 = 70% B1
Answer (d): 70 %
Past Paper Example 2 IGCSE Jan 2019 2F Q1 5 marks
(a) Write 23/100 as decimal (1) (b) Write 0.7 as percentage (1) (c) Write 1/5 as decimal (1) (d) Shade 75% of octagon (1) (e) 21% asleep, percentage not asleep (1)
(a) Write 23100 as a decimal. [1 mark]
(b) Write 0.7 as a percentage. [1 mark]
(c) Write 15 as a decimal. [1 mark]
(d) Shade 75% of this diagram. [1 mark]
(e) What percentage of the people on the train are not asleep? [1 mark]
Worked Solution & Mark Scheme (5 marks)
Part (a) Solution:
0.23
Answer (a): 0.23
Part (b) Solution:
70
Answer (b): 70 %
Part (c) Solution:
0.2
Answer (c): 0.2
Part (d) Solution:
75% of 8 = 6 sectors B1
Answer (d): 6 of the 8 triangles shaded
Part (e) Solution:
100 − 21 = 79% B1
Answer (e): 79 %
Past Paper Example 3 IGCSE Jun 2025 1FR Q4 6 marks
Work out
(a) 9/10 as decimal (1) (b) 3/50 as percentage (1) (c) Shade 5/8 of 24-square grid (1) (d) Fraction not equivalent to 2/5 (1) (e) Simplest fraction not studying French (2)
(a) Write 910 as a decimal. [1 mark]
(b) Write 350 as a percentage. [1 mark]
(c) Shade 58 of the shape. [1 mark]
(d) One of these fractions is **not** equivalent to 25
Which one?
2050   410   2500   1025   60150
[1 mark]
(e) What fraction of the students do **not** study French?
Give your fraction in its simplest form.
[2 marks]
Worked Solution & Mark Scheme (6 marks)
Part (a) Solution:
0.9
Answer (a): 0.9
Part (b) Solution:
6
Answer (b): 6 %
Part (c) Solution:
5/8 × 24 = 15 squares B1
Answer (c): 15 squares shaded
Part (d) Solution:
2500
Answer (d): 2500
Part (e) Solution:
(32 − 8)/32 = 24/32 = 3/4 M1 A1
Answer (e): 34

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