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Geometry & MeasuresStudy Notes

Worked Example 1: Simple Back Bearing

Part of Bearings — GCSE Mathematics

This study notes covers Worked Example 1: Simple Back Bearing within Bearings for GCSE Mathematics. Revise Bearings in Geometry & Measures for GCSE Mathematics with 19 exam-style questions and 5 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 5 of 8 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 5 of 8

Practice

19 questions

Recall

5 flashcards

Worked Example 1: Simple Back Bearing

The bearing of B from A is 065°. What is the bearing of A from B?

Step 1 Identify if bearing < or > 180°

065° is less than 180°

Step 2 Add 180° for back bearing

Back bearing = 065° + 180° = 245°

Keep building this topic

Read this section alongside the surrounding pages in Bearings. That gives you the full topic sequence instead of a single isolated revision point.

Method: Finding Back BearingsWorked Example 2: Bearings with Distance and TrigonometryNavigation MathsThe Three Golden Rules

Practice Questions for Bearings

A ship travels in the direction of North-East. Which of the following correctly writes this as a three-figure bearing?

  • A. 45°
  • B. NE45
  • C. 045°
  • D. 0045°
1 markfoundation

Explain how to find the back bearing (return bearing) of any given bearing. Your answer should cover both cases.

3 marksstandard

Quick Recall Flashcards

Bearing of East
090° (quarter turn clockwise from North)
Bearing of West
270° (three-quarters turn clockwise from North)

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Method: Finding Back Bearings

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Worked Example 2: Bearings with Distance and Trigonometry