Back Bearings: Challenge & Extension
Mathematics
GCSE Foundation
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet exploring Back Bearings, including procedural practice, problem solving, real-world contexts, and extension challenges designed for GCSE Foundation students.
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Back Bearings: Challenge & Extension
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Introduction to Back Bearings
Read the key concept below before attempting the questions.
1.
A back bearing is the direction opposite to a given bearing, measured clockwise. To find a back bearing, add 180° to the original bearing; if the sum exceeds 360°, subtract 360°. For example, the back bearing of 045° is 225°.
[4 marks]B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Find the back bearing of a direction of 120°.
[2 marks]2.
Calculate the back bearing of 330°.
[2 marks]3.
What is the back bearing of 045°?
[2 marks]4.
A boat is headed on a bearing of 270°. What is its back bearing?
[2 marks]C
Problem Solving & Reasoning
Solve these multi-step questions, explaining your reasoning clearly.
1.
A person walks on a bearing of 045° from point A to point B. They then turn and walk on a back bearing. What is the bearing from point B back to point A?
[4 marks]2.
A ship is sailing on a bearing of 110°. It then changes course to a back bearing. What is its new course heading?
[3 marks]D
Real-world Applications
Apply your understanding to these contextual problems.
1.
A hiker walks on a bearing of 200° from a campsite. To return directly, what back bearing should they follow?
[3 marks]2.
A drone flies on a bearing of 85° to reach its destination. To return along the same route, what bearing should it take?
[3 marks]E
Challenge & Extension
Attempt these advanced questions for extension.
1.
A plane is heading on a bearing of 045°. It then makes a turn to a back bearing. After turning, the plane needs to head directly back to its starting point. What is the new heading?
[4 marks]2.
Construct a triangle where one side is on bearing 120°, the second on bearing 300°, and the third on a back bearing of 60°. Use the grid to draw accurately.
[4 marks]F
Mixed Review
Solve these variety of questions to review your understanding.
1.
A vehicle travels on a bearing of 150°. What is the back bearing?
[2 marks]2.
If a ship's back bearing of 210° is known, what was its original bearing?
[2 marks]3.
Identify and correct the mistake: The back bearing of 095° is 275°.
[3 marks]G
Error Analysis
Review these common mistakes and answer the questions.
1.
A student calculated the back bearing of 60° as 240°. Identify the mistake and provide the correct answer.
[3 marks]2.
Explain why adding 180° to a bearing of 200° gives the back bearing, but why the answer must be adjusted if it exceeds 360°.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet