England · Year 5 · Ages 9–10 · Worked examples

Year 5 Angles and Properties of Shapes: Worked Examples

See free Year 5 angles and properties of shapes worked examples with clear strategies and answers, aligned to the England primary curriculum.

Model the thinking

Four worked examples

Try each question first, then compare the strategy and answer. The aim is to understand the method, not just copy the final result.

1
Straight line

Angles on a straight line total __.

How to think about it: Underline the unit or property being tested before calculating. Draw or label the shape/measure if useful, then check that the final answer includes the correct unit or geometric fact.

Show answer

Answer: 180°

2
Full turn

Angles around a point total __.

How to think about it: Underline the unit or property being tested before calculating. Draw or label the shape/measure if useful, then check that the final answer includes the correct unit or geometric fact.

Show answer

Answer: 360°

3
Triangle

Triangle angles 48° and 67°. Third angle?

How to think about it: Underline the unit or property being tested before calculating. Draw or label the shape/measure if useful, then check that the final answer includes the correct unit or geometric fact.

Show answer

Answer: 65°

4
Type

Classify 135°: acute / right / obtuse / reflex.

How to think about it: Underline the unit or property being tested before calculating. Draw or label the shape/measure if useful, then check that the final answer includes the correct unit or geometric fact.

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Answer: obtuse

Next step

Turn the explanation into practice

Use the printable for independent work, or return to the topic overview to choose another way to practise.

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