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

    45 · 2 · 3 · Sharing in a ratio

  2. 2. Share 56 in the ratio 1:3. What is the larger share?

    56 · 1 · 3 · Sharing in a ratio

  3. 3. Share 105 in the ratio 2:5. What is the larger share?

    105 · 2 · 5 · Sharing in a ratio

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

    70 · 3 · 4 · Sharing in a ratio

  5. 5. Share 98 in the ratio 3:4. What is the larger share?

    98 · 3 · 4 · Sharing in a ratio

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

    75 · 2 · 3 · Sharing in a ratio

  7. 7. Share 48 in the ratio 1:3. What is the larger share?

    48 · 1 · 3 · Sharing in a ratio

  8. 8. Share 52 in the ratio 1:3. What is the larger share?

    52 · 1 · 3 · Sharing in a ratio

  9. 9. Share 49 in the ratio 3:4. What is the larger share?

    49 · 3 · 4 · 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 100 in the ratio 3:7. What is the larger share?

    100 · 3 · 7 · Sharing in a ratio

  12. 12. Share 105 in the ratio 3:4. What is the larger share?

    105 · 3 · 4 · Sharing in a ratio
12 questions · Seed 58 · 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 45 in the ratio 2:3. What is the larger share?

    27

    Total parts = 2 + 3 = 5. One part = 45 ÷ 5 = 9. Larger share = 3 × 9 = 27.

  2. 2. Share 56 in the ratio 1:3. What is the larger share?

    42

    Total parts = 1 + 3 = 4. One part = 56 ÷ 4 = 14. Larger share = 3 × 14 = 42.

  3. 3. Share 105 in the ratio 2:5. What is the larger share?

    75

    Total parts = 2 + 5 = 7. One part = 105 ÷ 7 = 15. Larger share = 5 × 15 = 75.

  4. 4. 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.

  5. 5. Share 98 in the ratio 3:4. What is the larger share?

    56

    Total parts = 3 + 4 = 7. One part = 98 ÷ 7 = 14. Larger share = 4 × 14 = 56.

  6. 6. 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.

  7. 7. Share 48 in the ratio 1:3. What is the larger share?

    36

    Total parts = 1 + 3 = 4. One part = 48 ÷ 4 = 12. Larger share = 3 × 12 = 36.

  8. 8. Share 52 in the ratio 1:3. What is the larger share?

    39

    Total parts = 1 + 3 = 4. One part = 52 ÷ 4 = 13. Larger share = 3 × 13 = 39.

  9. 9. Share 49 in the ratio 3:4. What is the larger share?

    28

    Total parts = 3 + 4 = 7. One part = 49 ÷ 7 = 7. Larger share = 4 × 7 = 28.

  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 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.

  12. 12. Share 105 in the ratio 3:4. What is the larger share?

    60

    Total parts = 3 + 4 = 7. One part = 105 ÷ 7 = 15. Larger share = 4 × 15 = 60.

12 questions · Seed 58 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 45 in the ratio 2:3. What is the larger share?

    45 · 2 · 3 · Sharing in a ratio

  2. 2. Share 56 in the ratio 1:3. What is the larger share?

    56 · 1 · 3 · Sharing in a ratio

  3. 3. Share 105 in the ratio 2:5. What is the larger share?

    105 · 2 · 5 · Sharing in a ratio

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

    70 · 3 · 4 · Sharing in a ratio

  5. 5. Share 98 in the ratio 3:4. What is the larger share?

    98 · 3 · 4 · Sharing in a ratio

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

    75 · 2 · 3 · Sharing in a ratio

  7. 7. Share 48 in the ratio 1:3. What is the larger share?

    48 · 1 · 3 · Sharing in a ratio

  8. 8. Share 52 in the ratio 1:3. What is the larger share?

    52 · 1 · 3 · Sharing in a ratio

  9. 9. Share 49 in the ratio 3:4. What is the larger share?

    49 · 3 · 4 · 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 100 in the ratio 3:7. What is the larger share?

    100 · 3 · 7 · Sharing in a ratio

  12. 12. Share 105 in the ratio 3:4. What is the larger share?

    105 · 3 · 4 · Sharing in a ratio
12 questions · Seed 58 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 45 in the ratio 2:3. What is the larger share?

    27

    Total parts = 2 + 3 = 5. One part = 45 ÷ 5 = 9. Larger share = 3 × 9 = 27.

  2. 2. Share 56 in the ratio 1:3. What is the larger share?

    42

    Total parts = 1 + 3 = 4. One part = 56 ÷ 4 = 14. Larger share = 3 × 14 = 42.

  3. 3. Share 105 in the ratio 2:5. What is the larger share?

    75

    Total parts = 2 + 5 = 7. One part = 105 ÷ 7 = 15. Larger share = 5 × 15 = 75.

  4. 4. 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.

  5. 5. Share 98 in the ratio 3:4. What is the larger share?

    56

    Total parts = 3 + 4 = 7. One part = 98 ÷ 7 = 14. Larger share = 4 × 14 = 56.

  6. 6. 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.

  7. 7. Share 48 in the ratio 1:3. What is the larger share?

    36

    Total parts = 1 + 3 = 4. One part = 48 ÷ 4 = 12. Larger share = 3 × 12 = 36.

  8. 8. Share 52 in the ratio 1:3. What is the larger share?

    39

    Total parts = 1 + 3 = 4. One part = 52 ÷ 4 = 13. Larger share = 3 × 13 = 39.

  9. 9. Share 49 in the ratio 3:4. What is the larger share?

    28

    Total parts = 3 + 4 = 7. One part = 49 ÷ 7 = 7. Larger share = 4 × 7 = 28.

  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 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.

  12. 12. Share 105 in the ratio 3:4. What is the larger share?

    60

    Total parts = 3 + 4 = 7. One part = 105 ÷ 7 = 15. Larger share = 4 × 15 = 60.

12 questions · Seed 58 · Age guidance, not curriculum certification