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Multiply fractions with an area model

5th grade (Year 6 in England) · 16 questions · Common Core: 5.NF.B.4.B · England: Y6 Fractions

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Score/ 16

  1. Question 1

    The grid is 3 rows by 3 columns. 1 row and 1 column are shaded; the overlap shows 1/3 × 1/3. What is 1/3 × 1/3?

    Answer(as a fraction)

  2. Question 2

    3/5 of a garden is used for vegetables. Kofi plants carrots in 1/4 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  3. Question 3

    The grid is 3 rows by 4 columns. 1 row and 3 columns are shaded; the overlap shows 1/3 × 3/4. What is 1/3 × 3/4?

    Answer(as a fraction)

  4. Question 4

    2/5 of a garden is used for vegetables. Luis plants carrots in 1/3 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  5. Question 5

    The grid is 3 rows by 2 columns. 2 rows and 1 column are shaded; the overlap shows 2/3 × 1/2. What is 2/3 × 1/2?

    Answer(as a fraction)

  6. Question 6

    1/3 of a garden is used for vegetables. Ines plants carrots in 1/2 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  7. Question 7

    The grid is 2 rows by 3 columns. 1 row and 1 column are shaded; the overlap shows 1/2 × 1/3. What is 1/2 × 1/3?

    Answer(as a fraction)

  8. Question 8

    2/3 of a garden is used for vegetables. Noah plants carrots in 3/4 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  9. Question 9

    The grid is 2 rows by 4 columns. 1 row and 3 columns are shaded; the overlap shows 1/2 × 3/4. What is 1/2 × 3/4?

    Answer(as a fraction)

  10. Question 10

    1/3 of a garden is used for vegetables. Zoe plants carrots in 1/3 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  11. Question 11

    The grid is 4 rows by 6 columns. 3 rows and 3 columns are shaded; the overlap shows 3/4 × 3/6. What is 3/4 × 3/6?

    Answer(as a fraction)

  12. Question 12

    3/4 of a garden is used for vegetables. Sam plants carrots in 2/4 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  13. Question 13

    The grid is 2 rows by 4 columns. 1 row and 3 columns are shaded; the overlap shows 1/2 × 3/4. What is 1/2 × 3/4?

    Answer(as a fraction)

  14. Question 14

    2/4 of a garden is used for vegetables. Ines plants carrots in 2/3 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  15. Question 15

    The grid is 5 rows by 5 columns. 1 row and 1 column are shaded; the overlap shows 1/5 × 1/5. What is 1/5 × 1/5?

    Answer(as a fraction)

  16. Question 16

    1/4 of a garden is used for vegetables. Felix plants carrots in 1/4 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

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  1. 1/9
  2. 3/20
  3. 3/12
  4. 2/15
  5. 2/6
  6. 1/6
  7. 1/6
  8. 6/12
  9. 3/8
  10. 1/9
  11. 9/24
  12. 6/16
  13. 3/8
  14. 4/12
  15. 1/25
  16. 1/16