Skip to content
ICSE Question Bank

Circles

Appeared in 8 of the 11 available papers.

Examined in
8 of 11 papers

Appears in most years

Typically worth
3.6 marks

Average per paper it appears in · 29 marks in total

Usual form
Numerical

86% of this chapter's 21 questions

Needs a diagram
100%

21 questions carry a figure — practise drawing them

Question-type distribution

  • Numerical18
  • MCQ2
  • Proof1

Most frequent topics

Circle theorems 21
Print:Questions onlyQuestions + answersAnswers only
Print chapter question bank

Showing 21 of 21 matching questions (29 marks).

21 questions

1

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

9(iii)

X, Y, Z and C are the points on the circumference of a circle with centre O. AB is a tangent to the circle at X and ZY = XY. Given ∠OBX = 32° and ∠AXZ = 66°. Find:

Figure for this question
1

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

6(ii)

In the given figure A, B, C and D are points on the circle with centre O. Given ∠ABC = 62°. Find:

Figure for this question
3(a)

In the figure given below, O is the centre of the circle and AB is a diameter. If AC = BD and ∠AOC = 72° .

Figure for this question
3(a)

Find:

11(c)

In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter and side BC||AE. If ∠BAC = 50°, find giving reasons:

Figure for this question
2(c)

PQRS is a cyclic quadrilateral. Given ∠QPS = 73°, ∠PQS = 55° and ∠PSR = 82°, calculate:

Figure for this question
9(a)

In the figure given, O is the centre of the circle. ∠DAE = 70º, Find giving suitable reasons the measure of:

Figure for this question
3(b)

In the given figure below, AD is a diameter. O is the centre of the circle. AD is parallel to BC and ∠CBD = 32°. Find:

Figure for this question