Moving between bar models, number lines and equations · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Same Number, Different Pictures

Mathematics · Mathematical Thinking · ages 9-10
Name ______________________   Date ____________

  1. A recipe for 1 cake uses 2 eggs. A bar model shows the 2-egg bar repeated 3 times. Which equation gives the eggs needed for 3 cakes?

    • 3 x 2 = 6
    • 3 + 2 = 5
    • 12 / 3 = 4
    • 3 - 2 = 1

  2. A grid of 100 squares has 20 squares shaded. Which percent names the shaded part?

    Shaded20Empty80
    • 2%
    • 200%
    • 20%

  3. A hundredths grid has 35 squares shaded out of 100. Which three names all describe the shaded part?

    • 0.35, 35/100 and 35%
    • 0.35, 35/10 and 35%
    • 3.5, 35/100 and 35%
    • 0.35, 35/100 and 3.5%

  4. 0.5 and 50% are two ways of writing the same amount.

    Circle one:   True   False

  5. A graph shows 6 birds on Monday, 11 birds on Tuesday, and 8 birds on Wednesday. Which sentence matches the graph?

    Mon6Tue11Wed8
    • Monday had more birds than Tuesday
    • Tuesday had 3 more birds than Wednesday
    • Wednesday had 8 more birds than Monday

  6. A graph shows the temperature was 12 degrees on Monday and 7 degrees on Thursday. Which equation finds how much it dropped?

    0247101215drop
    • 12 + 7 = 19
    • 12 - 7 = 5
    • 7 - 12 = 5

  7. Write 35/100 as a decimal.

    Answer: ______________

  8. A hundredths grid has 100 squares. 42 of them are shaded. Write the shaded amount as a decimal.

    Shaded42Empty58

    Answer: ______________

  9. A recipe needs 6 cups of flour for 1 batch. Using a bar model of equal groups, how many cups are needed for 5 batches?

    Answer: ______________

  10. A grid of 100 squares has 6 whole rows of 10 squares shaded. What percent of the grid is shaded?

    Answer: ______________

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Answer key

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

Same Number, Different Pictures W1-mt_CUmjcE7W6c-s1

  1. 3 x 2 = 6 · 3 cakes need 3 lots of 2 eggs, which is 3 x 2 = 6 eggs.
  2. 20% · Percent means out of 100, and 20 of the 100 squares are shaded, so the shaded part is 20%.
  3. 0.35, 35/100 and 35% · 35 shaded squares out of 100 is 35/100, which is 0.35 and 35%.
  4. True · 0.5 is 5 tenths, which covers 50 squares of a hundredths grid, and 50% is 50 out of 100. Both name the same half.
  5. Tuesday had 3 more birds than Wednesday · Tuesday reads 11 and Wednesday reads 8, and 11 - 8 = 3, so Tuesday had 3 more birds than Wednesday.
  6. 12 - 7 = 5 · Read both points on the graph, then subtract the smaller from the larger: 12 - 7 = 5.
  7. 0.35 · 35/100 means 35 hundredths, which is 0.35 as a decimal.
  8. 0.42 · 42 out of 100 shaded squares is 42/100, which is 0.42 as a decimal.
  9. 30 · Five equal groups of six cups is 5 x 6, which is 30 cups.
  10. 60 · 6 rows of 10 is 6 x 10 = 60 shaded squares, and 60 out of 100 is 60%.
Worksheet · LightMySky