MYP Maths Bearings: Frequently Asked Questions

Always draw a diagram first, mark north lines at every point mentioned, and measure bearings clockwise from north as a three-figure number (e.g. 060° not 60°). Then identify the triangle formed, decide whether you need sine rule, cosine rule, or basic angle facts, and solve step by step.

A bearing is a direction measured clockwise from north, always written as three figures (e.g. 005°, 090°, 245°). It tells you exactly which way to travel or look from a fixed point, and it's used constantly in navigation, surveying and MYP real-life context problems.

The three-figure convention removes ambiguity: 005° can't be confused with 5° written informally, and every bearing between 000° and 360° reads the same length. It's a fixed IB/MYP and international navigation standard, so markers expect it exactly — 45° instead of 045° usually loses a mark.

Compass directions (N, NE, SW) only give eight rough zones, while a bearing gives an exact angle from 000° to 360°. MYP problems almost always want a precise bearing, not a compass letter — if a question says 'find the bearing', convert any compass direction into its numerical equivalent first (e.g. NE = 045°).

Draw a north line at the starting point, then draw the line joining the two points, and measure the clockwise angle between them. If you're given coordinates or distances instead of a diagram, use trigonometry (sine rule, cosine rule, or tan for right-angled triangles) to calculate the angle, then convert it to a three-figure bearing.

Once you've drawn the diagram and identified the triangle, use the cosine rule when you know two sides and the included angle (to find the third side) or all three sides (to find an angle), and the sine rule when you know an angle-side pair plus one more piece of information.

A back bearing (or reciprocal bearing) is the bearing measured from the second point back to the first — it's always 180° different from the original. Add 180° if the original bearing is less than 180°, or subtract 180° if it's 180° or more, to keep the answer within 000°–360°.

The most common mistake I see marking MYP scripts is measuring the angle anticlockwise instead of clockwise, or drawing the north line at the wrong point. Bearings are always clockwise from north — if your diagram has north lines only at one location, redraw it with a north line at every point mentioned in the question.

Bearings typically appear under MYP Criterion A (Knowing and Understanding) for calculations, and Criterion C (Communicating) for how clearly you present diagrams, working and units. According to the IB's MYP: From Principles into Practice guide, mathematical communication expects appropriate mathematical language and forms of representation, so a labelled diagram with a north arrow genuinely earns marks.

Yes, in practice — a clear diagram showing north lines, the angle measured, and labelled points is usually what separates full marks from partial credit under Criterion C. Even when a question doesn't explicitly ask you to 'draw', sketching one first almost always prevents the clockwise/anticlockwise mistake that costs the most marks.

Bearings show up in navigation (ships, aircraft, hiking routes), surveying and mapping, and search-and-rescue scenarios — all popular choices for MYP Criterion A/D investigation tasks because they combine trigonometry with a genuine real-world application. Choosing a bearings-based context lets you show both accurate calculation and clear real-life justification in one task.

Bearings aren't conceptually hard — the trigonometry is the same sine rule, cosine rule and Pythagoras your child already meets elsewhere — but they're easy to lose marks on through diagram errors. Most students who struggle aren't failing the maths itself; they're measuring angles the wrong way round or forgetting the three-figure convention.

The best practice is repeated exposure to varied bearings questions — different combinations of distances, angles and back bearings — rather than re-reading the theory. On RevisionPrep, MYP 4-5 Mathematics Topical Worksheets and Revision Notes cover bearings alongside the trigonometry topics it depends on, with worked solutions your child can check against.

Bearings lean on three prior skills: Pythagoras' theorem, the sine and cosine rules, and basic angle facts (angles on a straight line, alternate angles). If your child is shaky on any of these, revising them first will make bearings click far faster than practising bearings questions alone.