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MathsAges 10-12

Sharing in a ratio

Divide a total quantity into proportional parts using a given two-part ratio. Review suitability for your learners before teaching.

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Age band:Ages 10-12Ages 13-15

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Worksheet StudioPractice pack · Ages 10-12

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 30 in the ratio 2:3. What is the larger share?

    30 · 2 · 3 · Sharing in a ratio

  2. 2. Share 49 in the ratio 2:5. What is the larger share?

    49 · 2 · 5 · Sharing in a ratio

  3. 3. Share 60 in the ratio 2:3. What is the larger share?

    60 · 2 · 3 · Sharing in a ratio

  4. 4. Share 80 in the ratio 3:7. What is the larger share?

    80 · 3 · 7 · Sharing in a ratio

  5. 5. Share 39 in the ratio 1:2. What is the larger share?

    39 · 1 · 2 · Sharing in a ratio

  6. 6. Share 140 in the ratio 3:7. What is the larger share?

    140 · 3 · 7 · Sharing in a ratio

  7. 7. Share 32 in the ratio 3:5. What is the larger share?

    32 · 3 · 5 · Sharing in a ratio

  8. 8. Share 25 in the ratio 2:3. What is the larger share?

    25 · 2 · 3 · Sharing in a ratio

  9. 9. Share 40 in the ratio 1:3. What is the larger share?

    40 · 1 · 3 · Sharing in a ratio

  10. 10. Share 70 in the ratio 2:3. What is the larger share?

    70 · 2 · 3 · Sharing in a ratio

  11. 11. Share 130 in the ratio 3:7. What is the larger share?

    130 · 3 · 7 · Sharing in a ratio

  12. 12. Share 55 in the ratio 2:3. What is the larger share?

    55 · 2 · 3 · Sharing in a ratio
12 questions · Seed 59 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 30 in the ratio 2:3. What is the larger share?

    18

    Total parts = 2 + 3 = 5. One part = 30 ÷ 5 = 6. Larger share = 3 × 6 = 18.

  2. 2. Share 49 in the ratio 2:5. What is the larger share?

    35

    Total parts = 2 + 5 = 7. One part = 49 ÷ 7 = 7. Larger share = 5 × 7 = 35.

  3. 3. Share 60 in the ratio 2:3. What is the larger share?

    36

    Total parts = 2 + 3 = 5. One part = 60 ÷ 5 = 12. Larger share = 3 × 12 = 36.

  4. 4. Share 80 in the ratio 3:7. What is the larger share?

    56

    Total parts = 3 + 7 = 10. One part = 80 ÷ 10 = 8. Larger share = 7 × 8 = 56.

  5. 5. Share 39 in the ratio 1:2. What is the larger share?

    26

    Total parts = 1 + 2 = 3. One part = 39 ÷ 3 = 13. Larger share = 2 × 13 = 26.

  6. 6. Share 140 in the ratio 3:7. What is the larger share?

    98

    Total parts = 3 + 7 = 10. One part = 140 ÷ 10 = 14. Larger share = 7 × 14 = 98.

  7. 7. Share 32 in the ratio 3:5. What is the larger share?

    20

    Total parts = 3 + 5 = 8. One part = 32 ÷ 8 = 4. Larger share = 5 × 4 = 20.

  8. 8. Share 25 in the ratio 2:3. What is the larger share?

    15

    Total parts = 2 + 3 = 5. One part = 25 ÷ 5 = 5. Larger share = 3 × 5 = 15.

  9. 9. Share 40 in the ratio 1:3. What is the larger share?

    30

    Total parts = 1 + 3 = 4. One part = 40 ÷ 4 = 10. Larger share = 3 × 10 = 30.

  10. 10. Share 70 in the ratio 2:3. What is the larger share?

    42

    Total parts = 2 + 3 = 5. One part = 70 ÷ 5 = 14. Larger share = 3 × 14 = 42.

  11. 11. Share 130 in the ratio 3:7. What is the larger share?

    91

    Total parts = 3 + 7 = 10. One part = 130 ÷ 10 = 13. Larger share = 7 × 13 = 91.

  12. 12. Share 55 in the ratio 2:3. What is the larger share?

    33

    Total parts = 2 + 3 = 5. One part = 55 ÷ 5 = 11. Larger share = 3 × 11 = 33.

12 questions · Seed 59 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 30 in the ratio 2:3. What is the larger share?

    30 · 2 · 3 · Sharing in a ratio

  2. 2. Share 49 in the ratio 2:5. What is the larger share?

    49 · 2 · 5 · Sharing in a ratio

  3. 3. Share 60 in the ratio 2:3. What is the larger share?

    60 · 2 · 3 · Sharing in a ratio

  4. 4. Share 80 in the ratio 3:7. What is the larger share?

    80 · 3 · 7 · Sharing in a ratio

  5. 5. Share 39 in the ratio 1:2. What is the larger share?

    39 · 1 · 2 · Sharing in a ratio

  6. 6. Share 140 in the ratio 3:7. What is the larger share?

    140 · 3 · 7 · Sharing in a ratio

  7. 7. Share 32 in the ratio 3:5. What is the larger share?

    32 · 3 · 5 · Sharing in a ratio

  8. 8. Share 25 in the ratio 2:3. What is the larger share?

    25 · 2 · 3 · Sharing in a ratio

  9. 9. Share 40 in the ratio 1:3. What is the larger share?

    40 · 1 · 3 · Sharing in a ratio

  10. 10. Share 70 in the ratio 2:3. What is the larger share?

    70 · 2 · 3 · Sharing in a ratio

  11. 11. Share 130 in the ratio 3:7. What is the larger share?

    130 · 3 · 7 · Sharing in a ratio

  12. 12. Share 55 in the ratio 2:3. What is the larger share?

    55 · 2 · 3 · Sharing in a ratio
12 questions · Seed 59 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 30 in the ratio 2:3. What is the larger share?

    18

    Total parts = 2 + 3 = 5. One part = 30 ÷ 5 = 6. Larger share = 3 × 6 = 18.

  2. 2. Share 49 in the ratio 2:5. What is the larger share?

    35

    Total parts = 2 + 5 = 7. One part = 49 ÷ 7 = 7. Larger share = 5 × 7 = 35.

  3. 3. Share 60 in the ratio 2:3. What is the larger share?

    36

    Total parts = 2 + 3 = 5. One part = 60 ÷ 5 = 12. Larger share = 3 × 12 = 36.

  4. 4. Share 80 in the ratio 3:7. What is the larger share?

    56

    Total parts = 3 + 7 = 10. One part = 80 ÷ 10 = 8. Larger share = 7 × 8 = 56.

  5. 5. Share 39 in the ratio 1:2. What is the larger share?

    26

    Total parts = 1 + 2 = 3. One part = 39 ÷ 3 = 13. Larger share = 2 × 13 = 26.

  6. 6. Share 140 in the ratio 3:7. What is the larger share?

    98

    Total parts = 3 + 7 = 10. One part = 140 ÷ 10 = 14. Larger share = 7 × 14 = 98.

  7. 7. Share 32 in the ratio 3:5. What is the larger share?

    20

    Total parts = 3 + 5 = 8. One part = 32 ÷ 8 = 4. Larger share = 5 × 4 = 20.

  8. 8. Share 25 in the ratio 2:3. What is the larger share?

    15

    Total parts = 2 + 3 = 5. One part = 25 ÷ 5 = 5. Larger share = 3 × 5 = 15.

  9. 9. Share 40 in the ratio 1:3. What is the larger share?

    30

    Total parts = 1 + 3 = 4. One part = 40 ÷ 4 = 10. Larger share = 3 × 10 = 30.

  10. 10. Share 70 in the ratio 2:3. What is the larger share?

    42

    Total parts = 2 + 3 = 5. One part = 70 ÷ 5 = 14. Larger share = 3 × 14 = 42.

  11. 11. Share 130 in the ratio 3:7. What is the larger share?

    91

    Total parts = 3 + 7 = 10. One part = 130 ÷ 10 = 13. Larger share = 7 × 13 = 91.

  12. 12. Share 55 in the ratio 2:3. What is the larger share?

    33

    Total parts = 2 + 3 = 5. One part = 55 ÷ 5 = 11. Larger share = 3 × 11 = 33.

12 questions · Seed 59 · Age guidance, not curriculum certification