Circle Theorems GCSE

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Date:




Mark Score (%)




Materials
For this paper you must have:
Ruler
Pencil, Rubber, Protractor and Compass
Scientific calculator, which you are expected to use when appropriate

Instructions
Answer all questions
Answer questions in the space provided
All working must be shown
Do all rough work in this book. Cross out any rough work you don't want to be marked

Information
The marks for the questions are shown in brackets




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, C Leave
1 A, B and C are points on a circle with center O. blank

Angle AOB = 80°
Angle ACB = x° x°

Find the value of x.
Give reasons for your answer. O
•
o
80



A B




x = ......................................°
(Total for question 1 is 2 marks)


2 A, B, C and D are points on a circle. C
Angle BCD = 75°
Angle DAB = x°
75°
Find the value of x. B
Give reasons for your answer.

x°
A




D




x = ......................................°
(Total for question 2 is 2 marks)
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