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6th grade fractions

6th grade (Year 7 in England) · 16 questions · Common Core: 6.NS.A.1, 5.NF.B.6 · England: Y6 Fractions, KS3 Number

Name

Date

Score/ 16

  1. Question 1

    A trail is 15 3/4 km long. Marker posts are placed every 1 3/4 km, starting from the beginning. How many equal sections does this make?

    Answer

  2. Question 2

    What is the reciprocal of 1/8?

    Answer(as a fraction)

  3. Question 3

    Fatima says 2 3/4 × 1 1/2 = 2 3/8, by multiplying the whole numbers and the fractions separately. Find the correct product.

    Answer(as a fraction)

  4. Question 4

    Work out 1 4/5 × 3. Give a mixed number or fraction in simplest form.

    Answer(as a fraction)

  5. Question 5

    Work out 1/7 ÷ 3. Give a fraction in simplest form.

    Answer(as a fraction)

  6. Question 6

    Which calculation gives the same answer as 1/5 ÷ 2/5?

    • A. 1/5 × 5/2
    • B. 1/5 × 2/5
    • C. 5/1 × 5/2
    • D. 5/1 × 2/5
  7. Question 7

    Work out 11 ÷ 2/3. Give a whole number, or a fraction in simplest form.

    Answer(as a fraction)

  8. Question 8

    Ana worked out 5/8 ÷ 3/4 by flipping the first fraction: 8/5 × 3/4. What is the correct answer? Give a fraction in simplest form.

    Answer(as a fraction)

  9. Question 9

    6/8 of a pizza is shared equally by 2 friends. What fraction of the whole pizza does each friend get?

    Answer(as a fraction)

  10. Question 10

    How many 1/8s are there in 7?

    Answer

  11. Question 11

    2/3 ÷ 1/2 = ? Give your answer in simplest form.

    Answer(as a fraction)

  12. Question 12

    2/9 × □ = 1. What fraction goes in the box?

    Answer(as a fraction)

  13. Question 13

    A 18-litre water cooler fills bottles of 3/8 litre each. How many pieces or portions is that?

    Answer

  14. Question 14

    Work out 2 1/3 ÷ 2 1/3. Give a mixed number or fraction in simplest form.

    Answer(as a fraction)

  15. Question 15

    What is the reciprocal of 2 4/5? Give a fraction.

    Answer(as a fraction)

  16. Question 16

    Work out 1 1/4 × 1 1/5. Give a mixed number or fraction in simplest form.

    Answer(as a fraction)

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Answer key: 6th grade fractions

  1. 1. 9

  2. 2. 8

  3. 3. 33/8

  4. 4. 27/5

  5. 5. 1/21

  6. 6. A. 1/5 × 5/2

  7. 7. 33/2

  8. 8. 5/6

  9. 9. 3/8

  10. 10. 56

  11. 11. 4/3

  12. 12. 9/2

  13. 13. 48

  14. 14. 1

  15. 15. 5/14

  16. 16. 3/2