Year 4 Maths — Patterns and tiling
Continue number and shape patterns, work out a later term in a pattern, and tell which shapes tile without leaving gaps.
Name: ________________________
1.A pattern goes 100, 90, 80, 70, ... What number comes next?
2.A pattern goes 3, 6, 9, 12, ... What number comes next?
3.Put these shapes in order by how many lines of symmetry they have, fewest first.
- A square
- An isosceles triangle
- A rectangle that is not a square
- An equilateral triangle
- A scalene triangle
4.Sort each shape by whether copies of it will tile a floor with no gaps.
Groups: Tiles with no gaps · Leaves gaps
- Regular octagon
- Square
- Equilateral triangle
- Regular hexagon
- Regular pentagon
- Circle
5.A pattern goes 2, 4, 8, 16, ... What number comes next?
6.Which of these shapes will tile a floor with no gaps at all?
- a) A regular octagon
- b) A regular pentagon
- c) A regular hexagon
- d) A circle
7.Match each shape to how many lines of symmetry it has.
- Square
- Equilateral triangle
- Rectangle that is not a square
- Isosceles triangle
- Scalene triangle
- 4
- 1
- 0
- 3
- 2
8.A pattern of beads goes red, blue, green, red, blue, green, and keeps repeating in that order. What colour is the twelfth bead?
- a) Green
- b) Yellow
- c) Blue
- d) Red
Answer key — Year 4 Maths — Patterns and tiling
- 1. 60
- 2. 15
- 3. 1. A scalene triangle 2. An isosceles triangle 3. A rectangle that is not a square 4. An equilateral triangle 5. A square
- 4. Square → Tiles with no gaps; Regular hexagon → Tiles with no gaps; Equilateral triangle → Tiles with no gaps; Regular pentagon → Leaves gaps; Circle → Leaves gaps; Regular octagon → Leaves gaps
- 5. 32
- 6. c) A regular hexagon
- 7. Square → 4; Equilateral triangle → 3; Rectangle that is not a square → 2; Isosceles triangle → 1; Scalene triangle → 0
- 8. a) Green