Mastering Bearings
Mathematics
GCSE Higher
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A worksheet covering Bearings for GCSE Higher students, focusing on understanding and applying bearing concepts in various contexts.
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Mastering Bearings
Subject: MathematicsGrade: GCSE Higher
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Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key concepts of bearings: bearings are measured clockwise from the north direction, expressed in degrees from 0° to 360°. Use the formula or method provided to solve the following questions.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A boat is sailing on a bearing of 045° from a lighthouse. If the boat is 10 km from the lighthouse, how far east and north of the lighthouse is the boat?
[3 marks]2.
From point A, the bearing to point B is 130°. If A is due north of C, and AC is 15 km, what is the approximate bearing from C to B?
[3 marks]3.
A plane is heading on a bearing of 270°. If it turns right by 45°, what is its new bearing?
[2 marks]4.
Calculate the bearing from point P to point Q, given that P is directly south of Q and the distance between them is 20 km.
[2 marks]5.
A hiker walks from point X to point Y along a bearing of 060°. If the distance traveled is 12 km, what are the north and east components of this walk?
[3 marks]6.
A ship sets sail on a bearing of 135°. After 8 km, it changes course to a bearing of 090°. How far has it traveled from its original position?
[2 marks]7.
Point M is due east of point N, and the bearing from N to M is 090°. If the distance between N and M is 25 km, what is the bearing from M to N?
[2 marks]8.
In a navigation exercise, a ship reports its position at a bearing of 220° from a lighthouse. If the lighthouse is located at coordinate (0,0), describe the general direction of the ship relative to the lighthouse.
[4 marks]9.
A rescue helicopter is located 15 km away from a stranded hiker. The helicopter's bearing from the hiker is 300°. Find the position of the helicopter relative to the hiker.
[4 marks]10.
Challenge: A drone flies from point A to point B on a bearing of 045°, then turns to a bearing of 135° to reach point C. If AB is 10 km and BC is 8 km, what is the approximate bearing from A to C?
[5 marks]11.
Real-world application: A hiker starts at the base of a mountain and walks on a bearing of 030° for 5 km to reach a viewpoint. She then changes direction to a bearing of 150° for 4 km to reach the summit. Describe the overall direction of the summit from the base.
[5 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet