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Circle theorems: angles

Apply circle theorems about angles at the centre and circumference, in a semicircle and in cyclic quadrilaterals, giving reasons.

⏱ 20 min❓ 10 questions

What you'll be able to do

  • ✔I can use the language of arcs, chords and subtended angles
  • ✔I can apply the angle at the centre, same segment and semicircle theorems with reasons
  • ✔I can use the properties of cyclic quadrilaterals to find unknown angles

How this works

  1. 1Read the short explanations first — they teach you what you need before each question.
  2. 2Answer each question, then tap Check. A right answer moves you on automatically; if it's wrong, you'll see a friendly explanation of why.
  3. 3Finish all 3 steps to see your score — sign in and subscribe to unlock the full lesson and save it.

What's inside

10 questions and 1 quick teaching card, including:

  • 🔢Number answer — Work out the answer and type the number.

👪Grown-up tip: sit alongside younger learners for the first few lessons. Read the questions together and chat about the explanations — that's where the real learning sticks.

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Curriculum: AC9M10SP01