# Circle Theorem - Exam Questions

A series of maths past exam questions **just** on **circle theorems.**

Good practise before the exam.. if your not strong at this topic..

Good Luck !

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- Created by: ? Secret - Team GR
- Created on: 26-02-13 19:50

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## Pages in this set

### Page 1

Surname Initial(s)

Centre

Paper Reference

No.

Signature

Candidate

No. 1 3 8 0 4 H

Paper Reference(s)

1380/4H Examiner's use only

Edexcel GCSE Team Leader's use only

Mathematics (Linear) 1380

Paper 4 (Calculator)

Circle Theorems

Past Paper Questions

Arranged by Topic

Materials required for examination Items included with question…

Centre

Paper Reference

No.

Signature

Candidate

No. 1 3 8 0 4 H

Paper Reference(s)

1380/4H Examiner's use only

Edexcel GCSE Team Leader's use only

Mathematics (Linear) 1380

Paper 4 (Calculator)

Circle Theorems

Past Paper Questions

Arranged by Topic

Materials required for examination Items included with question…

### Page 2

Leave

blank

1. B

Diagram NOT

accurately drawn

C

O

A

A, B and C are points on the circumference of a circle, centre O.

AC is a diameter of the circle.

(a) (i) Write down the size of angle ABC.

°

...........................

(ii) Give a reason for your answer.…

blank

1. B

Diagram NOT

accurately drawn

C

O

A

A, B and C are points on the circumference of a circle, centre O.

AC is a diameter of the circle.

(a) (i) Write down the size of angle ABC.

°

...........................

(ii) Give a reason for your answer.…

### Page 3

Leave

blank

2.

D Diagram NOT

A accurately drawn

E

O

35°

B

C

B, D and E are points on a circle centre O.

ABC is a tangent to the circle.

BE is a diameter of the circle.

Angle DBE = 35°.

(a) Find the size of angle ABD.…

blank

2.

D Diagram NOT

A accurately drawn

E

O

35°

B

C

B, D and E are points on a circle centre O.

ABC is a tangent to the circle.

BE is a diameter of the circle.

Angle DBE = 35°.

(a) Find the size of angle ABD.…

### Page 4

Leave

blank

3.

B Diagram NOT

accurately drawn

O

C

36°

A D

The diagram shows a circle centre O.

A, B and C are points on the circumference.

DCO is a straight line.

DA is a tangent to the circle.

Angle ADO = 36°

(a) Work out the size…

blank

3.

B Diagram NOT

accurately drawn

O

C

36°

A D

The diagram shows a circle centre O.

A, B and C are points on the circumference.

DCO is a straight line.

DA is a tangent to the circle.

Angle ADO = 36°

(a) Work out the size…

### Page 5

Leave

blank

4. B

Diagram NOT

accurately drawn

C

O

A

A, B and C are points on the circumference of a circle, centre O.

AC is a diameter of the circle.

(a) (i) Write down the size of angle ABC.

°

...........................

(ii) Give a reason for your answer.…

blank

4. B

Diagram NOT

accurately drawn

C

O

A

A, B and C are points on the circumference of a circle, centre O.

AC is a diameter of the circle.

(a) (i) Write down the size of angle ABC.

°

...........................

(ii) Give a reason for your answer.…

### Page 6

Leave

blank

5.

Diagram NOT

D accurately drawn

A 70°

O x°

y° C

B

In the diagram, A, B, C and D are points on the circumference of a circle, centre O.

Angle BAD = 70°.

Angle BOD = x°.

Angle BCD = y°.

(a) (i) Work out the…

blank

5.

Diagram NOT

D accurately drawn

A 70°

O x°

y° C

B

In the diagram, A, B, C and D are points on the circumference of a circle, centre O.

Angle BAD = 70°.

Angle BOD = x°.

Angle BCD = y°.

(a) (i) Work out the…

### Page 7

Leave

blank

6.

Q Diagram NOT

accurately drawn

P

O

58°

A T B

P, Q and T are points on the circumference of a circle, centre O.

The line ATB is the tangent at T to the circle.

PQ = TQ.

Angle ATP = 58°.

Calculate the size of…

blank

6.

Q Diagram NOT

accurately drawn

P

O

58°

A T B

P, Q and T are points on the circumference of a circle, centre O.

The line ATB is the tangent at T to the circle.

PQ = TQ.

Angle ATP = 58°.

Calculate the size of…

### Page 8

Leave

blank

7.

B Diagram NOT

C accurately drawn

54°

28°

A

D

A, B, C and D are points on the circumference of a circle.

Angle ABD = 54°.

Angle BAC = 28°.

(i) Find the size of angle ACD.

°

........................

(ii) Give a reason for your answer.…

blank

7.

B Diagram NOT

C accurately drawn

54°

28°

A

D

A, B, C and D are points on the circumference of a circle.

Angle ABD = 54°.

Angle BAC = 28°.

(i) Find the size of angle ACD.

°

........................

(ii) Give a reason for your answer.…

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