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P3 Angle and shape properties

recognise an angle

What geometric idea is marked at the smaller turn where the two shown rays share an endpoint?

Two rays sharing one endpoint form the marked angle.angle
One step of the worked solution to recognise an angle, drawn in pencil.
5 steps, drawn in pencil

See all 5 steps

MathBrush is being tested with a few parent groups, and every solution on the site is open to them — one household, all children. If you were given a code, it goes in once and this device remembers it.

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65 worked examples are free without a code, two from every pattern. No account, either way.

The pattern behind it: Angle and shape properties

Mark the shape property first, then subtract known angles from the relevant total.

In this one. An angle is formed by two rays with a common endpoint.

Name the angle totalstraight lineknown + unknown = 180 degreesaround pointall sectors = 360 degrees

How to spot it

Look for a named quadrilateral like a rhombus or parallelogram, plus two straight lines crossing inside or through it. Words like "straight line" and "collinear" point to this move.

Common mistake

Children mix up which angle sits opposite which once lines cross at a point away from the main shape. Trace each ray back to its two labelled ends before deciding what faces what.

Try one like it

Standard compare with a right angle Is the shown 45° angle smaller or larger than a right angle?
All 4 with this pattern →

The 33 problem patterns

All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.

A PDF, and a note when new solutions go up.