Year 3 Maths — Shapes and symmetry

Count the sides and corners of a shape, name the parts of a solid, find a line of symmetry, and cover a shape with smaller shapes.

Name: ________________________

Before you start

Here is a box drawn as a solid. Find a face, an edge and a corner on it.

A corner is the one place where three edges come together at a point.

Take a tile from the tray and lay it on the hexagon. Cover the whole hexagon with one kind of tile, then clear it and try another kind.

Six triangles, three rhombuses or two half-hexagons — every one of them fills the very same space.

1.Put these shapes in order, fewest sides first.
- Triangle
- Hexagon
- Square
- Pentagon
2.Cover this shape completely, with no tile hanging over the edge.
Draw lines inside the shape to show how the tiles below cover it.
- Triangle, covers 1 triangle
- Hexagon, covers 6 triangles
3.Half of this hexagon is already covered. Cover the rest of it.
Draw lines inside the shape to show how the tiles below cover it.
- Triangle, covers 1 triangle
- Rhombus, covers 2 triangles
- Half-hexagon, covers 3 triangles
4.Match each shape to how many sides it has.
- Triangle
- Square
- Pentagon
- Hexagon
- 5
- 4
- 6
- 3
5.Sort each shape by whether it is flat or solid.
Groups: Flat shape · Solid shape
- Circle
- Sphere
- Square
- Cube
6.How many edges does a cube have?
7.How many rhombuses does it take to cover this hexagon exactly?
Work out how many of the tile below cover the shape, and write the number.
- Rhombus, covers 2 triangles
Number of tiles:
8.How many sides does a rectangle have?

1. 1. Triangle 2. Square 3. Pentagon 4. Hexagon
2. any covering — e.g. 1 hexagon + 1 triangle
3. any covering — e.g. 1 half-hexagon
4. Triangle → 3; Square → 4; Pentagon → 5; Hexagon → 6
5. Square → Flat shape; Cube → Solid shape; Circle → Flat shape; Sphere → Solid shape
6. 12
7. 3 rhombuses
8. 4