2D & 3D Shapes (Edexcel GCSE Maths: Foundation)

is a straight line.
The lines , , and  are all the same length.
Angle . 

Work out the size of the angle marked .

Below are 4 different 3D shapes, labelled 

(i) Which of these shapes has the greatest number of faces, and how many does it have?

[1]

(ii) Which of these shapes has the least number of edges, and how many does it have?

[1]

(iii) Explain why shape B is not a prism. 

[1]

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 are the names of 5 quadrilaterals.

Write the name of the correct shape for each of the descriptions below.

(i) All four sides are equal in length.
All four of the angles are identical.

[1]

(ii) There are two pairs of parallel sides.
The angles opposite each other are identical. 
There are no lines of symmetry.

[1]

(iii) All four of the sides have the same length.
None of the angles are 90°.

[1]

The grid shows a point and four quadrilaterals, and .

Write down the mathematical name of shape .

The diagram shows a cuboid.

On the 1 cm² grid, complete the net of the cuboid.
One face has been drawn for you.

The diagram shows the net of a triangular prism on a 1cm² grid.

Write down the mathematical name for the type of triangle shown on the grid.

Complete each statement.

A quadrilateral with only one pair of parallel sides is called a ...............................................

An angle greater than 90° but less than 180° is called ...............................................

On the 1cm² grid, complete the net of this box.

The diagram shows a net of a solid.

Write down the mathematical name of the solid.

The diagram shows a quadrilateral on a 1 cm² grid.

Write down the mathematical name of this quadrilateral.

is a straight line.
is a triangle.
is a parallelogram.

Show that triangle  is an isosceles triangle. Give a reason for each stage of your working.

The diagram shows the kite, .

The lengths  and  are equal.

Find the values of  and .

A square-based right pyramid has a base with sides of length 4 cm.

The sides of the pyramid are isosceles triangles.

The vertical height of the pyramid is 5 cm.

Sketch the plan, front, and side elevations of the pyramid. 

Label the dimensions on your diagram.

Calculate the surface area of the pyramid.

A cuboid measures 6 cm by 3 cm by 1 cm.

i) On the 1 cm² grid, draw an accurate net of this cuboid.

One face has been drawn for you.

[3]

ii) Calculate the surface area of the cuboid.

.......................................... cm² [2]

A cuboid has length 5 cm, width 4 cm and height 3 cm.

On the 1 cm² grid, complete the net of the cuboid.
One face has been drawn for you.

Find the volume of the cuboid.

.......................................... cm³ 

The diagram shows the net of a solid on a 1cm² grid.

i) Write down the mathematical name for the solid.

[1]

ii) Work out the volume of the solid.

.......................................... cm³ [2]

A cuboid has length 3 cm, width 2 cm and height 1cm.

On the 1 cm² grid, draw a net of the cuboid.

A cuboid measures 6cm by 3cm by 2 cm.
On this 1cm² grid, draw a net of the cuboid.

The diagram shows a net of a cube.

i) The square labelled  is the base.

Write the letter  in the square that is the top of the cube.

[1]

ii) On the grid, draw a different net of this cube.

[1]