How many Radii and isosceles triangles practice questions are there?

There are 16 self-marking GCSE Maths questions on Radii and isosceles triangles, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Radii and isosceles triangles?

No. You can start practising Radii and isosceles triangles 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

Radii and isosceles triangles

Q: What are the common mistakes in Radii and isosceles triangles?

Measures rather than proves the required result Uses the full chord length instead of half of it when a perpendicular from the centre bisects the chord Uses only one base angle instead of both when solving an isosceles triangle problem

16 self-marking GCSE practice questions on Radii and isosceles triangles, written specifically for AQA, Pearson, OCR across Foundation and Higher tier. Instant marking with full worked solutions on every question.

Start practising Radii and isosceles triangles (no account needed)

Sample Radii and isosceles triangles questions

A few of the 16 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 11 markGrade 3-4
A line from the centre of a circle is drawn to the midpoint of a chord. What angle does this line make with the chord?
Show the worked solution
A line drawn from the centre of a circle to the midpoint of a chord always meets the chord at 90° (it is the perpendicular bisector of the chord).
Question 21 markGrade 4-5
A chord is bisected by a perpendicular line drawn from the centre of the circle. If the full chord is 16 cm long, how long is each half of the chord?

What are the common mistakes in Radii and isosceles triangles?

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.

Measures rather than proves the required result
Measured a specific chord and its two parts with a ruler and found them approximately equal, rather than proving the bisection using congruent triangles for any chord
Uses the full chord length instead of half of it when a perpendicular from the centre bisects the chord
Used the full chord length instead of halving it - 'bisected' means split into two EQUAL halves
Uses only one base angle instead of both when solving an isosceles triangle problem
Subtracted only one base angle from 180° instead of recognising the triangle is isosceles with TWO equal base angles to subtract

Quick answers about Radii and isosceles triangles

How many Radii and isosceles triangles practice questions are there?: There are 16 self-marking GCSE Maths questions on Radii and isosceles triangles, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Radii and isosceles triangles?: No. You can start practising Radii and isosceles triangles straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.