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Page 1

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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

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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

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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

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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

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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

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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

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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

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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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