Where can I download free bearings PDF worksheets with answers?

On this MathsLinks page you can download free printable bearings PDF worksheets (Qs) and full worked solutions or mark schemes (Ans) from Ken Stafford, Maths Genie, Maths4Everyone, Corbett Practice, Corbett Textbook, plus a printable one-page bearings revision guide.

What GCSE grade is bearings (4R)?

Bearings (topic code 4R) is a Grade 4 geometry topic in GCSE Maths for Edexcel, AQA, OCR, Eduqas and IGCSE specifications.

Free Bearings Worksheets (PDF) with Answers — GCSE Maths

Free Bearings PDF Worksheets & Answers

Grade 4 • Topic 4R

Resource	Questions	Answers
Ken Stafford GCSE past paper questions & solutions	Qs	Ans
Maths Genie Graded exam questions & solutions	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
Naiker Maths Exam question booklet & solutions	Qs	Ans
Maths DIY Exam-style booklet & solutions	Qs	Ans
Dr Austin (1) Practice grid / worksheet & answers	Qs	Ans
Dr Austin (2) Practice grid / worksheet & answers	Qs	Ans
Dr Austin (3) Practice grid / worksheet & answers	Qs	Ans
1st Class Maths (Edxl) Edexcel exam questions & solutions	Qs	Ans
1st Class Maths (AQA) AQA exam questions & solutions	Qs	Ans
Metatutor Topic worksheet & worked 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
Cognito Interactive online lesson & practice	Page
GeoGebra interactive resource Interactive online resource	Open

Grade 4 topics
4A - Compound interest	4B - Indices (index laws)
4C - Prime factors HCF and LCM	4D - Real life graphs
4E - Inequalities on a number line	4F - Solving inequalities
4G - Forming and solving equations	4H - nth term of a linear sequence
4J - Expanding and factorising	4K - Pythagoras theorem
4L - Angles in parallel lines	4M - Angles in polygons
4N - Surface area	4P - Volume of a cuboid
4Q - Volume of a prism	4R - Bearings
4S - Cylinders	4T - Plans and elevations
4U - Scatter graphs	4V - Probability
4W - Averages from tables	4X - Reverse mean
4Y - Area of a trapezium	4Z - Loci and construction

Explanation:

Every bearing must obey three rules: (1) measure from North, (2) measure clockwise, and (3) write the answer as 3 digits (e.g. 45° must be written as 045°). Look carefully at the word “from”: for the bearing of B from A, stand at A and measure clockwise from the North line at A.

Because North lines are parallel, the interior angles between two North lines are co-interior angles and add up to 180°. Use this (together with angles around a point = 360°) to calculate back bearings without a protractor.

Example 1: The bearing of ship B from port A is 065°. Work out the bearing of port A from ship B.

Co-interior at B:

180° − 65° = 115°

360° − 115° = 245°

Example 2: Town Q is on a bearing of 295° from Town P. Work out the bearing of Town P from Town Q.

At P: 360° − 295° = 65°

At Q: 180° − 65° = 115°

Answer: 115°

Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Bearings Questions & Answers

10-Question Interactive Quiz More Past Paper Questions

Past Paper Example 1 GCSE Jun 2025 3F Q14 3 marks

Full Paper (PDF) • Mark Scheme (PDF)

The accurately drawn diagram shows two points, C and D, on a map.

(a) Find the bearing of D from C. [1 mark]

(b) Work out the real distance from C to D. [2 marks]

Worked Solution & Mark Scheme (3 marks)

Part (a) Solution:

Measure clockwise from North line at C: 115° B1

Answer (a): 115 °

Part (b) Solution:

Measured distance CD on printed paper is 7.5 cm (range 7.3 to 7.7 cm) M1
Real distance = 7.5 × 4 = 30 km A1

Answer (b): 30 km

Past Paper Example 2 IGCSE Jun 2025 2F Q16 2 marks

Full Paper (PDF) • Mark Scheme (PDF)

The diagram shows the positions of two villages, A and B

The bearing of B from A is 073°
Work out the bearing of A from B

Worked Solution & Mark Scheme (2 marks)

180 + 73 = 253° M1 A1

Answer: 253 °

Past Paper Example 3 Eduqas Jun 2019 1F Q12 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

Work out
(a) The diagram shows the position of two points, A and B. The scale is 1cm represents 1km.
Measure and write down the bearing of B from A.
(b) Point C is 5km from A and 6km from B.
The bearing of C from B is an acute angle.
Complete the diagram to find the position of point C.

(a) The diagram shows the position of two points, A and B. The scale is 1cm represents 1km.
Measure and write down the bearing of B from A. [1 mark]

(b) Point C is 5km from A and 6km from B.
The bearing of C from B is an acute angle.
Complete the diagram to find the position of point C. [3 marks]

Worked Solution & Mark Scheme (4 marks)

Part (a) Solution:

Measuring clockwise angle from North at A to line AB gives 220° (or 218° to 222°). B1

Answer (a): 220° °

Part (b) Solution:

Draw arc of radius 5 cm centered at A and arc of radius 6 cm centered at B M2
Point C is at the intersection giving an acute bearing from B. A1

Answer (b): Point C constructed

← 4Q Volume of a prism

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Bearings

Free Bearings PDF Worksheets & Answers

Guide to Bearings: Explanation, Diagrams & Worked Examples

GCSE Past Paper Bearings Questions & Answers