IGCSEMathsEdexcelMaths A (Modular)Foundation Unit 2Exam QuestionsShape, Space & MeasureCircle Properties & Theorems

Circle Properties & Theorems (Edexcel IGCSE Maths A (Modular): Foundation Unit 2): Exam Questions

Exam code: 4XMAF/4XMAH

8 mins3 questions
1
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4 marks
Circle with centre O, radius OC, chord AC. Lines AB and BC form angle ABC at 52 degrees. Diagram not accurately drawn.

A and C are points on a circle, centre O.
A B and C Bare tangents to the circle.
Angle A B C = 52°

Work out the size of angle x.
Give a reason for each stage of your working.

How did you do?

2
1 mark
A circle with centre O. A line connects the centre O to the point P on the circle's edge.

P is a point on a circle with centre O

Write down the mathematical name of the line O P

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3
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3 marks
Geometric diagram showing circle centred at O; angle AOD marked as 48 degrees; triangle AOD intersects circle at C; note: diagram not accurately drawn.

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

Angle A D C = 48°

Work out the size of reflex angle A O C

How did you do?