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. Which picture matches the equation 2 x 7 = 14?

    • 2 rows of 7 squares
    • 2 rows of 2 squares
    • 14 rows of 7 squares

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

    Shaded20Empty80
    • 2%
    • 200%
    • 20%

  3. Which of these is the same amount as 35%?

    • 35/100
    • 3/5
    • 0.53

  4. On a number line, the gap between two points can show the difference between two amounts.

    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. Which of these is another way to write 0.18?

    • 18%
    • 1.8%
    • 18/10

  7. A garden bed is 5 tiles wide. A new bed is scaled up to be 4 times as wide. Which equation finds the new width?

    • 5 + 4 = 9
    • 5 x 4 = 20
    • 5 - 4 = 1

  8. Sam draws a bar model with 5 strips of 3 blocks and writes 5 + 3 = 8 underneath. Why does his equation not match his picture?

    • He counted the strips twice
    • His picture repeats 3 blocks five times, so it is 5 x 3
    • His picture has 8 blocks in it

  9. A shelf holds 4 rows of 7 jars. A second shelf holds 3 rows of 7 jars. How many jars are there altogether?

    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. 2 rows of 7 squares · In 2 x 7 the first number is how many equal rows and the second is how many sit in each row, so the picture is 2 rows of 7 squares.
  2. 20% · Percent means out of 100, and 20 of the 100 squares are shaded, so the shaded part is 20%.
  3. 35/100 · 35% means 35 out of 100, which is the fraction 35/100.
  4. True · The space between two points on a number line is exactly the difference between them.
  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. 18% · 0.18 has two digits after the point, so it is 18 hundredths, which is 18 out of 100, which is 18%.
  7. 5 x 4 = 20 · Scaling up by 4 means 4 equal groups of 5 tiles, so multiply: 5 x 4 = 20.
  8. His picture repeats 3 blocks five times, so it is 5 x 3 · The picture shows 5 equal groups of 3 blocks, which is 5 x 3 = 15. Adding 5 and 3 never counts the blocks.
  9. 49 · The first shelf is 4 x 7 = 28 jars and the second is 3 x 7 = 21 jars, so 28 + 21 = 49 jars.
  10. 60 · 6 rows of 10 is 6 x 10 = 60 shaded squares, and 60 out of 100 is 60%.
Worksheet · LightMySky