East
090°
Learning Objectives
- understand compass and three-figure bearings;
- measure bearings clockwise from north;
- draw accurate bearing diagrams;
- calculate reverse bearings;
- solve map-style bearing problems.
Introduction
This lesson develops Bearings from meaning and patterns before moving to calculations. Look for what the quantities, shapes or symbols represent, then connect that idea to the method.
Key Notes
Read the definitions and key facts below carefully. Each rule is most useful when you can explain why it fits the situation, not simply recall it.
Three-Figure Bearings
Bearings are measured clockwise from north and written using three digits.
South
180°
West
270°
North
000° or 360°
Reverse Bearings
Add or subtract 180°.
Bearing of B from A is 065°.
Bearing of A from B is 245°.
Try It: Rotate a Three-Figure Bearing
🧠 Let’s Think Together
Before calculating, identify the information given, the result required and the mathematical relationship that connects them. Predict whether the answer should be larger, smaller or unchanged, then use that prediction to check the result.
Worked Examples
Reason through the method
- Identify the known information and what must be found.
- Choose the definition, property or formula that connects them.
- Substitute carefully and show each step.
- Check the notation, units and whether the result is sensible.
Practice Questions
- Write the bearing of east.
- Write 35° clockwise from north as a three-figure bearing.
- Find the reverse bearing of 120°.
- Find the reverse bearing of 305°.
- A ship travels on bearing 070°. Describe its general direction.
✅ Check Your Work
Show answers and working
- 090°.
- 035°.
- 300°.
- 125°.
- North-east, closer to east.
Common Mistakes
- Choosing a rule before identifying what the question describes.
- Skipping working or changing notation part-way through a solution.
- Accepting an answer without checking its size, sign or units.
Exam Focus
Show the mathematical relationship you are using, keep notation consistent and give a clear final answer. Use a quick estimate, diagram or inverse operation to check that the result is reasonable.
Summary
- Measure clockwise from north.
- Use three digits.
- Reverse bearings differ by 180°.