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MathsAges 13-15

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 13-15

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 84 in the ratio 3:4. What is the larger share?

    84 · 3 · 4 · Sharing in a ratio

  2. 2. Share 70 in the ratio 1:4. What is the larger share?

    70 · 1 · 4 · Sharing in a ratio

  3. 3. Share 100 in the ratio 3:7. What is the larger share?

    100 · 3 · 7 · Sharing in a ratio

  4. 4. Share 75 in the ratio 2:3. What is the larger share?

    75 · 2 · 3 · Sharing in a ratio

  5. 5. Share 27 in the ratio 1:2. What is the larger share?

    27 · 1 · 2 · Sharing in a ratio

  6. 6. Share 6 in the ratio 1:2. What is the larger share?

    6 · 1 · 2 · Sharing in a ratio

  7. 7. Share 42 in the ratio 1:2. What is the larger share?

    42 · 1 · 2 · Sharing in a ratio

  8. 8. Share 70 in the ratio 3:4. What is the larger share?

    70 · 3 · 4 · Sharing in a ratio

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

    130 · 3 · 7 · Sharing in a ratio

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

    55 · 2 · 3 · Sharing in a ratio

  11. 11. Share 28 in the ratio 3:4. What is the larger share?

    28 · 3 · 4 · Sharing in a ratio

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

    32 · 3 · 5 · Sharing in a ratio
12 questions · Seed 104734 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 84 in the ratio 3:4. What is the larger share?

    48

    Total parts = 3 + 4 = 7. One part = 84 ÷ 7 = 12. Larger share = 4 × 12 = 48.

  2. 2. Share 70 in the ratio 1:4. What is the larger share?

    56

    Total parts = 1 + 4 = 5. One part = 70 ÷ 5 = 14. Larger share = 4 × 14 = 56.

  3. 3. Share 100 in the ratio 3:7. What is the larger share?

    70

    Total parts = 3 + 7 = 10. One part = 100 ÷ 10 = 10. Larger share = 7 × 10 = 70.

  4. 4. Share 75 in the ratio 2:3. What is the larger share?

    45

    Total parts = 2 + 3 = 5. One part = 75 ÷ 5 = 15. Larger share = 3 × 15 = 45.

  5. 5. Share 27 in the ratio 1:2. What is the larger share?

    18

    Total parts = 1 + 2 = 3. One part = 27 ÷ 3 = 9. Larger share = 2 × 9 = 18.

  6. 6. Share 6 in the ratio 1:2. What is the larger share?

    4

    Total parts = 1 + 2 = 3. One part = 6 ÷ 3 = 2. Larger share = 2 × 2 = 4.

  7. 7. Share 42 in the ratio 1:2. What is the larger share?

    28

    Total parts = 1 + 2 = 3. One part = 42 ÷ 3 = 14. Larger share = 2 × 14 = 28.

  8. 8. Share 70 in the ratio 3:4. What is the larger share?

    40

    Total parts = 3 + 4 = 7. One part = 70 ÷ 7 = 10. Larger share = 4 × 10 = 40.

  9. 9. 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.

  10. 10. 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.

  11. 11. Share 28 in the ratio 3:4. What is the larger share?

    16

    Total parts = 3 + 4 = 7. One part = 28 ÷ 7 = 4. Larger share = 4 × 4 = 16.

  12. 12. 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.

12 questions · Seed 104734 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 84 in the ratio 3:4. What is the larger share?

    84 · 3 · 4 · Sharing in a ratio

  2. 2. Share 70 in the ratio 1:4. What is the larger share?

    70 · 1 · 4 · Sharing in a ratio

  3. 3. Share 100 in the ratio 3:7. What is the larger share?

    100 · 3 · 7 · Sharing in a ratio

  4. 4. Share 75 in the ratio 2:3. What is the larger share?

    75 · 2 · 3 · Sharing in a ratio

  5. 5. Share 27 in the ratio 1:2. What is the larger share?

    27 · 1 · 2 · Sharing in a ratio

  6. 6. Share 6 in the ratio 1:2. What is the larger share?

    6 · 1 · 2 · Sharing in a ratio

  7. 7. Share 42 in the ratio 1:2. What is the larger share?

    42 · 1 · 2 · Sharing in a ratio

  8. 8. Share 70 in the ratio 3:4. What is the larger share?

    70 · 3 · 4 · Sharing in a ratio

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

    130 · 3 · 7 · Sharing in a ratio

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

    55 · 2 · 3 · Sharing in a ratio

  11. 11. Share 28 in the ratio 3:4. What is the larger share?

    28 · 3 · 4 · Sharing in a ratio

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

    32 · 3 · 5 · Sharing in a ratio
12 questions · Seed 104734 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 84 in the ratio 3:4. What is the larger share?

    48

    Total parts = 3 + 4 = 7. One part = 84 ÷ 7 = 12. Larger share = 4 × 12 = 48.

  2. 2. Share 70 in the ratio 1:4. What is the larger share?

    56

    Total parts = 1 + 4 = 5. One part = 70 ÷ 5 = 14. Larger share = 4 × 14 = 56.

  3. 3. Share 100 in the ratio 3:7. What is the larger share?

    70

    Total parts = 3 + 7 = 10. One part = 100 ÷ 10 = 10. Larger share = 7 × 10 = 70.

  4. 4. Share 75 in the ratio 2:3. What is the larger share?

    45

    Total parts = 2 + 3 = 5. One part = 75 ÷ 5 = 15. Larger share = 3 × 15 = 45.

  5. 5. Share 27 in the ratio 1:2. What is the larger share?

    18

    Total parts = 1 + 2 = 3. One part = 27 ÷ 3 = 9. Larger share = 2 × 9 = 18.

  6. 6. Share 6 in the ratio 1:2. What is the larger share?

    4

    Total parts = 1 + 2 = 3. One part = 6 ÷ 3 = 2. Larger share = 2 × 2 = 4.

  7. 7. Share 42 in the ratio 1:2. What is the larger share?

    28

    Total parts = 1 + 2 = 3. One part = 42 ÷ 3 = 14. Larger share = 2 × 14 = 28.

  8. 8. Share 70 in the ratio 3:4. What is the larger share?

    40

    Total parts = 3 + 4 = 7. One part = 70 ÷ 7 = 10. Larger share = 4 × 10 = 40.

  9. 9. 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.

  10. 10. 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.

  11. 11. Share 28 in the ratio 3:4. What is the larger share?

    16

    Total parts = 3 + 4 = 7. One part = 28 ÷ 7 = 4. Larger share = 4 × 4 = 16.

  12. 12. 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.

12 questions · Seed 104734 · Age guidance, not curriculum certification