Naming 2D shapes and 3D solids

A triangle has three sides that are all the same length.

What is the name of this type of triangle?

1. Write down the number of faces of a cube.
2. Write down the number of vertices of a cube.

Write down the mathematical name of a polygon with exactly five sides.

A 3D solid has exactly one square face and four triangular faces.

1. Write down the mathematical name of this solid.
2. Write down the number of edges of this solid.

Here is a triangular prism.

1. Write down the number of faces of a triangular prism.
2. Write down the number of edges of a triangular prism.

Triangle P has sides of length 5 cm, 5 cm and 8 cm.

Triangle Q has sides of length 4 cm, 6 cm and 7 cm.

1. What is the name of triangle P?
2. What is the name of triangle Q?

ABCD is a rectangle. The corners A, B, C and D are in order going round the rectangle.

1. Write down the name of a side that is parallel to AB.
2. Write down the name of a side that is perpendicular to AB.

A solid shape has one curved surface, one flat circular face and one vertex.

1. What is the name of this solid?
2. How many faces does a triangular prism have?

1. A 3D solid has one curved surface, no edges and no vertices. Write down the mathematical name of this solid.
2. A different 3D solid has two flat circular faces and one curved surface. Write down the mathematical name of this solid.

1. A quadrilateral has exactly one pair of parallel sides. Write down the mathematical name of this quadrilateral.
2. A different quadrilateral has two pairs of parallel sides. All four of its sides are equal in length but none of its angles are right angles. Write down the mathematical name of this quadrilateral.

1. A 3D solid has exactly one circular face and one vertex. Write down the mathematical name of this solid.
2. In the space below, draw a sketch of a cuboid.

The diagram shows a solid with corners labelled A to H.

1. Write down the mathematical name of the solid.
2. How many edges does the solid have?
3. The front face is ABCD. Write down the corners of the face opposite it.

In triangle PQR, angle Q = 90° and angle P = angle R.

1. What type of triangle is PQR?
2. Work out the size of angle P.

1. A quadrilateral has two pairs of equal adjacent sides and exactly one line of symmetry. Write down the mathematical name of this quadrilateral.
2. A 3D solid has six faces. Every face is a square. Write down the mathematical name of this solid.

A prism has a cross-section that is a pentagon.

1. Write down the number of faces of the prism.
2. Write down the number of edges of the prism.
3. Write down the number of vertices of the prism.

A prism has a cross-section that is an equilateral triangle with sides of length 4 cm.

The length of the prism is 9 cm.

Work out the total length of all the edges of the prism.

A prism has a cross-section that is a regular octagon with sides of length 3 cm.

The length of the prism is 10 cm.

1. Write down the number of edges of the prism.
2. Work out the total length of all the edges of the prism.

The diagram shows five quadrilaterals, labelled A, B, C, D and E, drawn on a centimetre grid.

1. Write down the letters of the pair of congruent quadrilaterals.
2. Write down the mathematical name of quadrilateral A.

1. Write down the mathematical name of a polygon with exactly eight sides.
2. A quadrilateral has four right angles. Its opposite sides are equal in length, but not all four sides are equal. Write down the mathematical name of this quadrilateral.
3. Write down the number of lines of symmetry of the quadrilateral in part (b).

Amira says,

"Every quadrilateral with four equal sides must be a square."

Is Amira correct? You must give a reason for your answer.

Each diagram is made of 6 squares. One of them is the net of a cube.

Write down the letter of the net that folds up to make a cube.

The grid shows a quadrilateral and two points, A and B.

1. Write down the name of the quadrilateral.
2. On the grid, mark a point C so that triangle ABC has a right angle at B. Draw the triangle.