1 Numbers and the number system

1.1 Integers

1.2 Fractions

1.3 Decimals

1.4 Powers and roots

1.5 Set language and notation

1.6 Percentages

1.7 Ratio and proportion

1.8 Degree of accuracy

1.9 Standard form

1.10 Applying number

1.11 Electronic calculators

2 Equations, formulae and identities

2.1 Use of symbols

2.2 Algebraic manipulation

2.3 Expressions and formulae

2.4 Linear equations

2.5 Proportion

2.6 Simultaneous linear equations

2.7 Quadratic equations

2.8 Inequalities

3 Sequences, functions and graphs

3.1 Sequences

3.2 Function notation

3.3 Graphs

3.4 Calculus

4 Geometry and trigonometry

4.1 Angles, lines and triangles

4.2 Polygons

4.3 Symmetry

4.4 Measures

4.5 Construction

4.6 Circle properties

4.7 Geometrical reasoning

4.8 Trigonometry and Pythagoras’ theorem

4.9 Mensuration of 2D shapes

4.10 3D shapes and volume

4.11 Similarity

5 Vectors and transformation geometry

5.1 Vectors

5.2 Transformation geometry

6 Statistics and probability

6.1 Graphical representation of data

6.2 Statistical measures

6.3 Probability

IGCSE Math a 4.6 Circle properties Topic Practice

Edexcel IGCSE Math a 4.6 Circle properties question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.

EduNinja keeps Math a practice aligned to Edexcel, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.

[Maximum number: 1]

On the diagram above, draw a chord of the circle.

The diagram shows a circle, centre O.
D, E and F are points on the circle.
The line AB touches the circle.
Write down the mathematical name for the line
(i) AB
(ii) OD
(iii) EF

[Maximum number: 3]

3 A, B and C are points on a circle, centre O.
AOC is a straight line.

(a)

Write down the mathematical name for the line AC.

[ 1 ]

(b)

Write down the mathematical name for the line AB.

[ 1 ]

(c)

On the diagram, shade a sector of the circle.

[ 1 ]

[Maximum number: 1]

Write down the mathematical name of the line OP

Here is a polygon.

Diagram NOT accurately drawn
A, B, C and D are points on a circle, centre O.
AOD is a diameter of the circle.
Angle $C B D=28^{\circ}$
Angle $B D A=32^{\circ}$
Find the size of angle BDC.
Give a reason for each stage of your working.

Diagram NOT accurately drawn

A, B, C and D are points on a circle, centre O
Angle $B C D=128^{\circ}$
Work out the size of angle OBD
Give a reason for each stage of your working.

[Maximum number: 4]

14 A, B, C and D are points on a circle, centre O
EBF is the tangent to the circle at B

Diagram NOT
accurately drawn

(a)

Work out the size of angle DCB

[ 1 ]

(b)

Work out the size of angle ADO

[ 3 ]

(a)

The diagram shows a circle with centre O.

Write down the word from the box that describes the line AB.

[ 1 ]

(b)

The diagram shows a circle with centre O.

On the diagram, draw a radius of the circle.

[ 1 ]

[Maximum number: 1]

13 P, Q, R, S and T are points on a circle with centre O.

Diagram NOT accurately drawn

QOS is a diameter of the circle.
angle $\operatorname{POS}=124^{\circ}$
angle $P R S=m^{\circ}$
angle $P T S=n^{\circ}$

(a)

Find the value of

[ 2 ]

(i)

(ii)

(b)

Find the size of angle QPO.

[ 1 ]

15 A, B and C are points on a circle, centre O

Diagram NOT accurately drawn

Angle $B A O=36^{\circ}$
Angle $B C O=21^{\circ}$
Work out the size of angle ACO

0 selected

Question 3(c)

Question 3

Question 3

Question 3(a)

Question 3(b)

Question 3(c)

Question 3(b)

Question 13

Question 13

Question 14

Question 14(a)(i)

Question 14(b)

Question 6

Question 6(a)

Question 6(b)

Question 13

Question 13(a)

Question 13(a)(i)

Question 13(a)(ii)

Question 13(b)

Question 15