Circles, Arcs & Sectors (Edexcel IGCSE Maths A: Foundation): Exam Questions

Exam code: 4MA1

17 mins6 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.

2
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2 marks

A circle has radius 8.5cm.

Work out the circumference of the circle. Give your answer correct to 3 significant figures.

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

41 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

5
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4 marks

A wheel on a tractor has a diameter of 160 cm.

The tractor travels 1750 metres

Work out the number of complete turns made by the wheel.
Show your working clearly

6
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3 marks

The diagram shows a shaded shape made from three identical semicircle, X, Y and Z

Diagram with two semicircles on a line AE, touching at Y, marked B to D. Semicircles labelled X and Z. "Diagram NOT accurately drawn" noted.

A B C D E is a straight line.

A C is the diameter of semicircle Xand B is the centre of semicircle X
B D is the diameter of semicircle Y and C spaceis the centre of semicircle Y
C E space is the diameter of semicircle Z and D is the centre of semicircle Z

A C space equals space B D space equals space C E space equals space 20 space cm space

Work out the perimeter of the shaded shape.
Give your answer correct to the nearest whole number.