Moving between representations of a relationship · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Same idea, many pictures

Mathematics · Mathematical Thinking · ages 10-11
Name ______________________   Date ____________

  1. A pie chart shows 1/2 shaded. Which percentage matches?

    • 25%
    • 50%
    • 75%
    • 5%

  2. Ivy has 18 stickers and puts 1/3 of them on her lunchbox. How many stickers is that?

    • 54 stickers
    • 3 stickers
    • 6 stickers

  3. A bar model splits 10 into 4 and an unknown part. What is the unknown?

    Answer: ______________

  4. A sign says 10% of the seats are taken. Which fraction says the same thing?

    • 10/1
    • 1/10
    • 1/100

  5. A bar shows Leo's 40 stamps split into 5 equal strips. Ana says each strip holds 40 stamps. What went wrong?

    • Nothing went wrong, each strip does hold 40 stamps
    • She should have drawn 40 strips instead of 5
    • She put the whole total into one strip, but each strip holds 8

  6. Which bar model matches the story: 'Ben read 1/4 of his 20-page book'?

    • 20 split into 4 equal parts, 1 part shaded
    • 20 split into 2 equal parts, 1 part shaded
    • 20 split into 4 equal parts, 3 parts shaded

  7. An equation says 5n = 35. A bar model splits 35 into 5 equal parts. What is n?

    Answer: ______________

  8. A recipe uses 2/3 cup of flour for 1 batch. How many cups of flour are needed for 3 batches? Type just the number.

    Answer: ______________

  9. A box holds 45 crayons and Sam takes 4/5 of them out. How many crayons are still in the box? Type just the number.

    Answer: ______________

  10. Half of 24 and a quarter of 48 name the same amount.

    Circle one:   True   False

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Answer key

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

Same idea, many pictures W1-mt_9KmVWCuh5_-s1

  1. 50% · 50% matches because a half equals fifty out of a hundred.
  2. 6 stickers · 1/3 means the 18 stickers split into 3 equal groups, and one of those groups holds 6.
  3. 6 · The unknown is 6 because 10 - 4 = 6.
  4. 1/10 · 10% means 10 out of 100 seats, and 10 out of 100 is 1 part out of 10.
  5. She put the whole total into one strip, but each strip holds 8 · The 40 is the whole bar. Sharing it between 5 equal strips leaves 8 stamps in each one.
  6. 20 split into 4 equal parts, 1 part shaded · A quarter means 1 out of 4 equal parts, so only 1 of 4 strips is shaded.
  7. 7 · n is 7 because 35 split into 5 equal parts gives 7 each.
  8. 2 · 2/3 x 3 = 2 cups of flour.
  9. 9 · 45 splits into 5 strips of 9. Sam takes 4 strips, so the 1 strip left in the box holds 9.
  10. True · Half of 24 is 12 and a quarter of 48 is also 12, so both point at the same amount.
Worksheet · LightMySky