← Back to the activity

Grade 4 Math — 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. 1.Sort each shape by whether copies of it will tile a floor with no gaps.

    Groups: Tiles with no gaps · Leaves gaps

    • Regular pentagon
    • Regular octagon
    • Square
    • Circle
    • Regular hexagon
    • Equilateral triangle

  2. 2.Put these shapes in order by how many lines of symmetry they have, fewest first.

    • A square
    • A scalene triangle
    • A rectangle that is not a square
    • An equilateral triangle
    • An isosceles triangle

  3. 3.A pattern goes 1, 4, 7, 10, ... What is the tenth number in the pattern?

  4. 4.A pattern goes 3, 6, 9, 12, ... What number comes next?

  5. 5.How many lines of symmetry does a rectangle that is not a square have?

    • a) 2
    • b) 1
    • c) 0
    • d) 4

  6. 6.Match each shape to how many lines of symmetry it has.

    • Square
    • Equilateral triangle
    • Rectangle that is not a square
    • Isosceles triangle
    • Scalene triangle
    • 1
    • 4
    • 3
    • 2
    • 0

  7. 7.A pattern of squares uses 1 square, then 4, then 9, then 16. How many squares does the fifth shape use?

  8. 8.Which capital letter has no line of symmetry at all?

    • a) F
    • b) H
    • c) T
    • d) A

Answer key — Grade 4 Math — Patterns and tiling

  1. 1. 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
  2. 2. 1. A scalene triangle 2. An isosceles triangle 3. A rectangle that is not a square 4. An equilateral triangle 5. A square
  3. 3. 28
  4. 4. 15
  5. 5. a) 2
  6. 6. Square → 4; Equilateral triangle → 3; Rectangle that is not a square → 2; Isosceles triangle → 1; Scalene triangle → 0
  7. 7. 25
  8. 8. a) F