Cyclic quadrilaterals

Sample Cyclic quadrilaterals questions

A few of the 8 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 14 marksGrade 5
   A, B, C and D are points on the circumference of a circle, centre O. Angle BAD = 112° and angle DCO = 33°. Show that angle y (= angle OCB) is 35°. Give reasons for each stage of your working.

What are the common mistakes in Cyclic quadrilaterals?

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.

• 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°

• Uses 360° where 180° was the correct total for the configuration

  Subtracted the given angle from 360° (the full quadrilateral angle sum) instead of from 180°, missing that only a PAIR of opposite angles is supplementary, not all four angles combined with one

• Uses the wrong angle fact/theorem for the configuration shown (e.g. alternate vs corresponding angles)

  Used angle $ABC$ directly instead of first finding angle $ADC = 180° - 100°$

Quick answers about Cyclic quadrilaterals

How many Cyclic quadrilaterals practice questions are there?

There are 8 self-marking GCSE and IGCSE Maths questions on Cyclic quadrilaterals, 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 Cyclic quadrilaterals?

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