Geometry Toolkit (Cambridge International IGCSE Mathematics): Exam Questions

Circle the solid that has 7 vertices.

The diagram shows a kite, ABCD.

AFE and CEF are equilateral triangles.

Write down a mathematical name for quadrilateral AFCE.

The diagram shows a circle, centre O.

Write down the mathematical name of

i) line A,

ii) shaded region B.

Change 90 km/h to m/s.

.......................................... m/s

Here is a sketch of a quadrilateral.

All lengths are in centimetres.

Tick one box for each statement.

Change a speed of 50 metres per second to a speed in kilometres per hour.

.......................... kilometres per hour

The lake behind a dam has an area of 55 hectares.

When the gates in the dam are open, water flows out at a rate of 75 000 litres per second.

i) Show that 90 million litres of water flows out in 20 minutes.

ii) Beneath the surface, the lake has vertical sides.

Calculate the drop in the water level of the lake when the gates are open for 20 minutes. Give your answer in centimetres.

[1 hectare = 10⁴ m², 1000 litres = 1 m³]

.......................................... cm [3]

Here is a cube with edge length $x$cm

One diagonal is shown.

The total length, in centimetres, of the edges of the cube is a multiple of 18

Which statement is correct?

A square has an area of 0.25 square metres.

What is the length, in centimetres, of one side of the square?