Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

Points A, B and C lie on a circle with centre O. The diagram presents triangle ABC inside the circle, and the angle at B is shown with a right-angle marker. A straight line from A to C goes through O.
(a(i))[1]

Draw a chord on the diagram.

(a(ii))[1]

Explain why angle $ABC$ is $90^\circ$.

(b)[2]

Calculate the surface area of this cube.

(c(i))[3]

Calculate the volume of this cuboid. Give the units for your answer.

(c(ii))[3]

On the $1\text{ cm}^2$ grid, draw a precise net for this cuboid. A face has already been drawn for you.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Chord drawn correctly

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