How many The alternate segment theorem practice questions are there?

There are 22 self-marking GCSE and IGCSE Maths questions on The alternate segment theorem, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1) across Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise The alternate segment theorem?

No. You can start practising The alternate segment theorem straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.

Circle theorems

The alternate segment theorem

22 self-marking GCSE and IGCSE practice questions on The alternate segment theorem, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1) across Higher tier. Instant marking with full worked solutions on every question.

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Sample The alternate segment theorem questions

A few of the 22 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 12 marksGrade 6-8
E, F and D are points on the circumference of a circle. G, D and H lie on a tangent to the circle at D. Angle EFD = 55°. Angle FDE = 43°. Explain why angle HDF is 82°.
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What are the common mistakes in The alternate segment theorem?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Treats the alternate segment angle as supplementary rather than equal to the angle in the alternate segment
Treated the tangent-chord angle and the alternate segment angle as supplementary (summing to 180°) instead of applying the alternate segment theorem, which makes them equal
Verifies the claim for a single numerical case rather than proving it holds generally
Substituted specific numerical angle values into one diagram and confirmed the two angles matched in that case, rather than proving the equality holds for every tangent-chord configuration
Uses the wrong angle total (not 360°) for opposite angles in a cyclic quadrilateral
Assumed opposite angles in a cyclic quadrilateral are equal instead of summing to 180°, so simply repeated the given angle instead of subtracting it from 180°

Quick answers about The alternate segment theorem

How many The alternate segment theorem practice questions are there?: There are 22 self-marking GCSE and IGCSE Maths questions on The alternate segment theorem, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1) across Higher tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise The alternate segment theorem?: No. You can start practising The alternate segment theorem straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.