Back Bearings: Problem Solving & Reasoning
Mathematics
GCSE Higher
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet focused on Back Bearings for GCSE Higher students, covering procedural skills, problem solving, and real-world applications.
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Back Bearings: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction to Back Bearings
Remember that the back bearing of a given bearing is obtained by adding or subtracting 180° as appropriate. If the bearing is less than 180°, add 180°; if it's more, subtract 180°. Use this concept to solve the questions below.
B
Fluency & Practice
Answer these straightforward questions to practice calculating back bearings.
1.
Find the back bearing of a bearing of 045°.
[2 marks]2.
Calculate the back bearing of 220°.
[2 marks]3.
What is the back bearing of 180°?
[2 marks]4.
Find the back bearing of 135°.
[2 marks]C
Targeted Practice
Solve these more challenging questions involving back bearings and multiple steps.
1.
A ship is sailing on a bearing of 330°. What is its back bearing?
[3 marks]2.
An aircraft is headed on a bearing of 105°. What is its back bearing?
[3 marks]3.
Calculate the back bearing for a direction of 195°.
[3 marks]4.
A cyclist turns from a bearing of 060° to a back bearing. What is the back bearing?
[3 marks]5.
A boat changes course from 045° to its back bearing. What is the new bearing?
[3 marks]D
Real-world Applications
Apply your understanding of back bearings to these real-world scenarios.
1.
A hiker walks on a bearing of 080°. She then turns to face the back bearing. What is her new heading?
[4 marks]2.
A drone heads on a bearing of 290°. Its operator wants to send it back along its current path. What bearing should be used?
[4 marks]E
Challenge & Extension
Tackle these more difficult problems for extension and challenge.
1.
A plane flies on a bearing of 120°, then makes a turn to its back bearing. Calculate the new heading.
[5 marks]2.
A ship initially heads on 015°, then adjusts its course to the back bearing. If the course change is 180°, what is the new bearing?
[5 marks]F
Mixed Review & Error Analysis
Review these questions to consolidate your understanding and analyze common mistakes.
1.
A student calculates the back bearing of 270° as 90°. Is this correct? If not, what is the correct answer?
[4 marks]2.
Identify and correct the mistake in computing the back bearing of 050° as 130°.
[4 marks]3.
Explain why subtracting 180° from a bearing of 200° gives the back bearing.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet