Modelling with multiplication and fractions · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Choosing the right maths tool for real problems

Mathematics · Mathematical Thinking · ages 8-9
Name ______________________   Date ____________

  1. A patio is tiled in 5 rows with 7 tiles in each row. How many tiles cover the patio?

    Answer: ______________

  2. A garden bed holds 4 rows with 6 plants in each row. How many plants is that?

    • 24 plants
    • 10 plants
    • 18 plants
    • 26 plants

  3. A wall is tiled in an array with 3 rows and 4 tiles in each row. Which multiplication finds the total number of tiles?

    • 3 + 4
    • 3 × 4
    • 4 × 4

  4. True or false: in a bar model for a metres-to-centimetres conversion, each equal part of the bar can stand for one metre.

    Circle one:   True   False

  5. A ribbon is 2 metres long. Ben models it with a bar split into 2 equal metre-sized parts to find the length in centimetres. Which multiplication should he use?

    01002001 m = 100 cm1 m = 100 cm
    • 2 × 100
    • 2 + 100
    • 100 ÷ 2

  6. Each muffin needs 50 g of sugar. How many grams of sugar do 6 muffins need?

    Answer: ______________

  7. One loaf needs 1/4 kg of flour. How much flour do 4 loaves need?

    • 1 kg
    • 1/2 kg
    • 2 kg
    • 1/4 kg

  8. A garden path is tiled in an array with 6 rows and 7 tiles in each row. How many tiles are there in total?

    • 42
    • 13
    • 49

  9. Finn is finding the area of a rug using an array. He counts 5 rows and 8 tiles in each row but writes the multiplication as 5 + 8. What mistake did he make?

    • He should have counted 8 rows instead of 5
    • He should divide the rows by the tiles per row
    • He should multiply the rows and tiles per row, not add them

  10. A pancake recipe makes 12 pancakes using 360 grams of flour. Omar only wants to make 1/3 of the recipe. How many grams of flour should he use?

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Choosing the right maths tool for real problems W1-mt_K3R0yaHVcx-s1

  1. 35 · 5 rows of 7 tiles is 5 x 7 = 35 tiles.
  2. 24 plants · 4 rows of 6 is the array 4 x 6, which equals 24 plants.
  3. 3 × 4 · An array with 3 rows and 4 tiles per row gives a total of 3 × 4 tiles, not 3 + 4 or 4 × 4.
  4. True · Splitting the bar into metre-sized parts lets you multiply the number of parts by 100 to find the total centimetres.
  5. 2 × 100 · Each part of the bar is 100 centimetres, and there are 2 parts, so 2 × 100 = 200 centimetres.
  6. 300 · 6 muffins need 6 lots of 50 g, and 6 x 50 = 300 g.
  7. 1 kg · 4 loaves need 4 lots of 1/4 kg, and 4 x 1/4 = 1 kg.
  8. 42 · 6 rows of 7 tiles gives 6 × 7 = 42 tiles. Adding the rows and tiles (13) or multiplying the wrong pair (49 = 7 × 7) both give the wrong total.
  9. He should multiply the rows and tiles per row, not add them · An array's total comes from multiplying rows by tiles per row: 5 × 8 = 40, not 5 + 8 = 13.
  10. 120 · 1/3 of 360 grams is 360 ÷ 3 = 120 grams. The number of pancakes is extra information you don't need.
Worksheet · LightMySky