# 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 !

HideShow resource information
PDF Document 114.08 Kb

## 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…

### 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.
°
...........................

### 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.…

### 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.

(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.
°
...........................

### 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 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…

### 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.

°
........................