Year 4 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.
- 1. A face
- 2. An edge
- 3. A corner
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.
- Triangle, covers 1 triangle
- Rhombus, covers 2 triangles
- Half-hexagon, covers 3 triangles
- Hexagon, covers 6 triangles
Six triangles, three rhombuses or two half-hexagons — every one of them fills the very same space.
1.How many faces does a cube have?
2.How many sides does a rectangle have?
3.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
4.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
5.Match each shape to how many sides it has.
- Triangle
- Square
- Pentagon
- Hexagon
- 3
- 6
- 4
- 5
6.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:
7.Put these shapes in order, fewest sides first.
- Pentagon
- Triangle
- Square
- Hexagon
8.How many edges does a cube have?
Answer key — Year 4 Maths — Shapes and symmetry
- 1. 6
- 2. 4
- 3. any covering — e.g. 1 hexagon + 1 triangle
- 4. any covering — e.g. 1 half-hexagon
- 5. Triangle → 3; Square → 4; Pentagon → 5; Hexagon → 6
- 6. 3 rhombuses
- 7. 1. Triangle 2. Square 3. Pentagon 4. Hexagon
- 8. 12