Symmetry & Shapes (Edexcel GCSE Maths: Higher): Exam Questions

Here are the plan and front elevation of a solid shape.

On the grid below, draw the side elevation of the solid shape.

In the space below, draw a sketch of the solid shape.

The diagram shows a prism with a cross section in the shape of a trapezium.

On the centimetre grid below, draw the front elevation and the side elevation of the prism.
Use a scale of 2 cm to 1 m.

Here is a solid square-based pyramid, .

The base of the pyramid is a square of side 6 cm.
The height of the pyramid is 4 cm.
is the midpoint of  and  = 5 cm.

Draw an accurate front elevation of the pyramid from the direction of the arrow.

Work out the total surface area of the pyramid.

Here is a sketch of a quadrilateral.

All lengths are in centimetres.

Tick one box for each statement.

Tick all the statements that are true for any rhombus.

 The diagonals are lines of symmetry

 The diagonals bisect each other

 The diagonals are perpendicular

 The diagonals are equal in length

This shape is made from two triangles and four congruent parallelograms.

For each statement, choose the correct statement.

The triangles are equilateral.

The triangles are congruent.

Write down the order of rotational symmetry of the diagram.

The diagram shows a pyramid with a square base.
The triangular faces are congruent isosceles triangles.

Write down the number of planes of symmetry of this pyramid.

The diagram shows a cuboid.
= 8 cm, 
= 4 cm and
= 5 cm.

Write down the number of planes of symmetry of this cuboid.

Here are the front elevation and the plan of a prism.

On the grid below, draw the side elevation of the prism.

The plan, front elevation and side elevation of a solid prism are drawn on a centimetre grid.

In the space below, draw a sketch of the solid prism.
Write the dimensions of the prism on your sketch.

The diagram shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid.

In the space below, draw a sketch of the solid shape.
Give the dimensions of the solid on your sketch.

Here is a cube with edge length cm

One diagonal is shown.

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

Choose the correct statement.

The cross section of a prism has  sides.

Choose the expression for the number of edges of the prism.