Back Bearings: Real-world Applications

Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet exploring back bearings through real-world business and finance contexts. Students will practice calculating, interpreting, and applying back bearings in various scenarios.

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Back Bearings: Real-world Applications

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Introduction

Back bearings are used to find the original direction of a line when given its bearing from the opposite point. To find the back bearing, subtract the given bearing from 180° or 360° depending on the context, ensuring the answer is within 0° to 360°. This concept is useful in navigation, surveying, and logistics in business contexts.

B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A delivery truck moves in a direction of 045° bearing. What is the back bearing?
[2 marks]
2.
Calculate the back bearing of a ship sailing on a bearing of 135°.
[2 marks]
3.
A plane is flying on a bearing of 290°. What is its back bearing?
[2 marks]
4.
A delivery route is initially on a bearing of 060°. The driver takes a wrong turn and ends up heading on a bearing of 240°. Find the back bearing of the initial route.
[3 marks]
5.
In a warehouse, a forklift moves along a bearing of 200°. What is the back bearing?
[2 marks]
6.
A courier company records a delivery bearing of 330°. What is the back bearing?
[2 marks]
7.
A ship heads on a bearing of 060°. Its back bearing is then measured. What is it?
[2 marks]
8.
A car initially travels on a bearing of 120°. After turning, it is now on a bearing of 300°. Calculate the back bearing of the initial route.
[3 marks]
9.
A business supplies goods along a route initially on a bearing of 75°. Due to logistical change, the route's back bearing is now 255°. What was the original bearing?
[3 marks]
10.
A vehicle travels on a bearing of 045°. It then turns to a bearing of 225°. What is the back bearing of the second route?
[2 marks]
11.
Identify and correct the mistake in this calculation: A bearing of 200° has a back bearing of 180°. (Hint: Is this correct?)
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet