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Perimeter, area and volume · Ages 9–10

Counting perimeter worksheet

Part of: Perimeter and area

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Counting perimeter worksheet

Perimeter, area and volume · Ages 9–10

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Write each answer in the space. For word problems, show your working and write a sentence answer.

Part A: Working out and filling in (2 marks each)

  1. 1.Each square on the paper is 1 cm a side. What is the perimeter of the shape in cm?

    Answer:

  2. 2.Each square on the paper is 1 cm a side. What is the perimeter of the shape in cm?

    Answer:

Part B: Choose, or true or false (2 marks each)

  1. 3.Each square on the paper is 1 cm a side. Which shape has the longest perimeter?

    • A
    • B
    • C
    • D

    Choose the right picture

    Answer:

  2. 4.Each square on the paper is 1 cm a side. The shape's perimeter is 12 cm.

    True or false?

    Answer:

  3. 5.Squares 1 cm a side are laid in 2 rows of 8 to make a rectangle. What is its perimeter?

    • A. 20 cm
    • B. 32 cm
    • C. 10 cm
    • D. 16 cm

    Choose the right answer

    Answer:

  4. 6.Each square on the paper is 1 cm a side. The shape's perimeter is 13 cm.

    True or false?

    Answer:

  5. 7.Squares 1 cm a side are laid in 5 rows of 6 to make a rectangle. What is its perimeter?

    • A. 22 cm
    • B. 11 cm
    • C. 24 cm
    • D. 30 cm

    Choose the right answer

    Answer:

  6. 8.Each square on the paper is 1 cm a side. The shape's perimeter is 10 cm.

    True or false?

    Answer:

  7. 9.Squares 1 cm a side are laid in 2 rows of 5 to make a rectangle. What is its perimeter?

    • A. 7 cm
    • B. 10 cm
    • C. 20 cm
    • D. 14 cm

    Choose the right answer

    Answer:

  8. 10.Each square on the paper is 1 cm a side. The shape's perimeter is 16 cm.

    True or false?

    Answer:

  9. 11.Squares 1 cm a side are laid in 3 rows of 8 to make a rectangle. What is its perimeter?

    • A. 32 cm
    • B. 11 cm
    • C. 24 cm
    • D. 22 cm

    Choose the right answer

    Answer:

  10. 12.Squares 1 cm a side are laid in 3 rows of 7 to make a rectangle. What is its perimeter?

    • A. 20 cm
    • B. 21 cm
    • C. 10 cm
    • D. 28 cm

    Choose the right answer

    Answer:

Part C: Word problems (4 marks each)

  1. 13.Ka-lok lays 1 cm sticks all round the edge of this shape on squared paper. How many sticks are needed?

    Working:

    Answer:

  2. 14.6 square stickers 1 cm a side are put in a row to make a rectangle. What is its perimeter in cm?

    Working:

    Answer:

  3. 15.54 square mats 1 m a side are laid as a rectangle in 6 equal rows. What is its perimeter in m?

    Working:

    Answer:

  4. 16.8 square mats 1 m a side are laid as a rectangle in 2 equal rows. What is its perimeter in m?

    Working:

    Answer:

  5. 17.9 square stickers 1 cm a side are put in a row to make a rectangle. What is its perimeter in cm?

    Working:

    Answer:

  6. 18.Tsz-hin lays 1 cm sticks all round the edge of this shape on squared paper. How many sticks are needed?

    Working:

    Answer:

Show the answers and working

Counting perimeter worksheet: Answers and working

Part A: Working out and filling in

  1. 1. 14 cm

    Start at a corner and go round the edge: count the across pieces first, then the up-and-down ones, and add.

    Follow the edge piece by piece, across and up and down: 14 pieces round, so 14 cm.

  2. 2. 26 cm

    Count the across pieces first, top and bottom, then the up-and-down ones; don't miss the side of any step.

    Across: 5 pieces top and bottom. Up and down: both ends and every step: 26 cm in all.

Part B: Choose, or true or false

  1. 3. B

    Count once round each shape. Where the top steps up or down, each step's upright edge counts too.

    Count round each shape's edge: the longest perimeter is 16 cm.

  2. 4. False

    Perimeter counts pieces of edge, not squares. Count once round the edge and compare with 12.

    Perimeter counts the pieces of edge (14), not the squares (12).

  3. 5. A. 20 cm

    The rectangle is 8 cm long and 2 cm wide. The perimeter goes all the way round: count all four sides.

    8 cm long and 2 cm wide: once round is 8 + 2 + 8 + 2 = 20 cm.

  4. 6. False

    Perimeter counts pieces of edge, not squares. Count once round the edge and compare with 13.

    Perimeter counts the pieces of edge (16), not the squares (13).

  5. 7. A. 22 cm

    The rectangle is 6 cm long and 5 cm wide. The perimeter goes all the way round: count all four sides.

    6 cm long and 5 cm wide: once round is 6 + 5 + 6 + 5 = 22 cm.

  6. 8. False

    Perimeter counts pieces of edge, not squares. Count once round the edge and compare with 10.

    Perimeter counts the pieces of edge (14), not the squares (10).

  7. 9. D. 14 cm

    The rectangle is 5 cm long and 2 cm wide. The perimeter goes all the way round: count all four sides.

    5 cm long and 2 cm wide: once round is 5 + 2 + 5 + 2 = 14 cm.

  8. 10. True

    Perimeter counts pieces of edge, not squares. Count once round the edge and compare with 16.

    Perimeter counts the pieces of edge (16), not the squares (7).

  9. 11. D. 22 cm

    The rectangle is 8 cm long and 3 cm wide. The perimeter goes all the way round: count all four sides.

    8 cm long and 3 cm wide: once round is 8 + 3 + 8 + 3 = 22 cm.

  10. 12. A. 20 cm

    The rectangle is 7 cm long and 3 cm wide. The perimeter goes all the way round: count all four sides.

    7 cm long and 3 cm wide: once round is 7 + 3 + 7 + 3 = 20 cm.

Part C: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

  1. 13. 18 sticks

    Each stick is one piece of edge. Count once round the shape: the across pieces, then the up-and-down ones.

    Each stick is one piece of edge, so all the way round is the perimeter: 18.

  2. 14. 14 cm

    6 stickers in a row make a rectangle 6 cm long. How wide is it? The perimeter counts all four sides.

    6 cm long and 1 cm wide: 6 + 1 + 6 + 1 = 14.

  3. 15. 30 m

    Find how many are in each row first: 54 mats in 6 equal rows.

    54 ÷ 6 = 9 a row: 9 m by 6 m, so 2 × (9 + 6) = 30 m.

  4. 16. 12 m

    Find how many are in each row first: 8 mats in 2 equal rows.

    8 ÷ 2 = 4 a row: 4 m by 2 m, so 2 × (4 + 2) = 12 m.

  5. 17. 20 cm

    9 stickers in a row make a rectangle 9 cm long. How wide is it? The perimeter counts all four sides.

    9 cm long and 1 cm wide: 9 + 1 + 9 + 1 = 20.

  6. 18. 16 sticks

    Each stick is one piece of edge. Count once round the shape: the across pieces, then the up-and-down ones.

    Each stick is one piece of edge, so all the way round is the perimeter: 16.

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