Where can I download free area and perimeter PDF worksheets with answers?

On this MathsLinks page you can download free printable area and perimeter PDF worksheets (Qs) and full worked solutions or mark schemes (Ans) from Ken Stafford, Ken Stafford (1), Ken Stafford (2), Maths Genie, Dr Austin, plus a printable one-page area and perimeter revision guide.

What GCSE grade is area and perimeter (2L)?

Area and perimeter (topic code 2L) is a Grade 2 geometry topic in GCSE Maths for Edexcel, AQA, OCR, Eduqas and IGCSE specifications.

Free Area and perimeter Worksheets (PDF) with Answers — GCSE Maths

Free Area and perimeter PDF Worksheets & Answers

Grade 2 • Topic 2L

Resource	Questions	Answers
Ken Stafford GCSE past paper questions & solutions	Qs	Ans
Ken Stafford (1) Practice worksheet & worked solutions	Qs	Ans
Ken Stafford (2) Practice worksheet & worked solutions	Qs	Ans
Maths Genie Graded exam questions & solutions	Qs	Ans
Dr Austin Practice grid / worksheet & answers	Qs	Ans
Maths4Everyone GCSE 9–1 practice booklet & solutions	Qs	Ans
Corbett Practice Practice Questions & answers	Qs	Ans
Corbett Textbook Textbook Exercise & answers	Qs	Ans
Maths Made Easy MME worksheet & model answers	Qs	Ans
Dr Frost GCSE worksheet & solutions	Qs	Ans
1st Class Maths (Edxl) Edexcel exam questions & solutions	Qs	Ans
1st Class Maths (AQA) AQA exam questions & solutions	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
Cognito Interactive online lesson & practice	Page
MathsPad interactive resource Interactive online resource	Open
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:

Perimeter is the total distance all the way around the outside of a 2D shape (add all side lengths, measured in cm or m). Area is the space inside the shape, measured in square units (cm² or m²): Rectangle Area = length × width, and Triangle Area = 12 × base × perpendicular height.

For a compound L-shape, work out any missing side lengths first, then split the shape into two non-overlapping rectangles to find the total area.

Example 1: Find the perimeter and area of this right-angled triangle.

• Perimeter: 8 + 5 + 9.4 = 22.4 cm

• Area: 12 × 8 × 5 = 20 cm² (ignore slanted 9.4 cm)

Example 2: Find the area and perimeter of this L-shape.

• Missing horizontal = 10 − 4 = 6 cm; vertical = 7 − 3 = 4 cm

• Area: (4 × 7) + (6 × 3) = 28 + 18 = 46 cm²

• Perimeter: 10 + 7 + 4 + 4 + 6 + 3 = 34 cm

Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Area and perimeter Questions & Answers

10-Question Interactive Quiz More Past Paper Questions

Past Paper Example 1 GCSE May 2019 1F Q28 / 1H Q7 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

Here are two rectangles.

QR = 10 cm
BC = PQ
The perimeter of ABCD is 26 cm
The area of PQRS is 45 cm²
Find the length of AB.

Worked Solution & Mark Scheme (4 marks)

PQ = 45 ÷ 10 = 4.5 cm ⇒ BC = 4.5 cm M3
Perimeter of ABCD = 2(AB + 4.5) = 26 ⇒ AB + 4.5 = 13 ⇒ AB = 8.5 cm A1

Answer: 8.5 cm

Past Paper Example 2 GCSE Jun 2023 3F Q6 2 marks

Full Paper (PDF) • Mark Scheme (PDF)

The diagram shows a shape on a centimetre grid.

(a) Find the area of the shape. [1 mark]

(b) Find the perimeter of the shape. [1 mark]

Worked Solution & Mark Scheme (2 marks)

Part (a) Solution:

2×6 + 1×2 = 14 squares = 14 cm² B1

Answer (a): 14 cm²

Part (b) Solution:

2 + 4 + 1 + 2 + 3 + 6 = 18 cm B1

Answer (b): 18 cm

Past Paper Example 3 IGCSE Jan 2020 1FR Q8 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

Here is a rectangle.

Work out the perimeter of the shape.

Worked Solution & Mark Scheme (4 marks)

(The area of a rectangle is length × width)
Length of one rectangle = 28 ÷ 4 = 7 cm M2
Exposed top vertical sides = 7 – 4 = 3 cm each M1
Perimeter = 7 + 4 + 7 + 3 + 4 + 3 + 7 + 4 + 7 + 4 = 50 cm A1

Answer: 50 cm

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Area and perimeter

Free Area and perimeter PDF Worksheets & Answers

Guide to Area and perimeter: Explanation, Diagrams & Worked Examples

GCSE Past Paper Area and perimeter Questions & Answers