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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 12 in the ratio 1:3. What is the larger share?

    12 · 1 · 3 · Sharing in a ratio

  2. 2. Share 44 in the ratio 1:3. What is the larger share?

    44 · 1 · 3 · Sharing in a ratio

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

    30 · 2 · 3 · Sharing in a ratio

  4. 4. Share 35 in the ratio 2:5. What is the larger share?

    35 · 2 · 5 · Sharing in a ratio

  5. 5. Share 24 in the ratio 1:3. What is the larger share?

    24 · 1 · 3 · Sharing in a ratio

  6. 6. Share 120 in the ratio 3:7. What is the larger share?

    120 · 3 · 7 · Sharing in a ratio

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

    30 · 1 · 2 · Sharing in a ratio

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

    105 · 3 · 4 · Sharing in a ratio

  9. 9. Share 14 in the ratio 2:5. What is the larger share?

    14 · 2 · 5 · Sharing in a ratio

  10. 10. Share 56 in the ratio 3:5. What is the larger share?

    56 · 3 · 5 · Sharing in a ratio

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

    52 · 1 · 3 · Sharing in a ratio

  12. 12. Share 120 in the ratio 3:5. What is the larger share?

    120 · 3 · 5 · Sharing in a ratio
12 questions · Seed 104733 · 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 12 in the ratio 1:3. What is the larger share?

    9

    Total parts = 1 + 3 = 4. One part = 12 ÷ 4 = 3. Larger share = 3 × 3 = 9.

  2. 2. Share 44 in the ratio 1:3. What is the larger share?

    33

    Total parts = 1 + 3 = 4. One part = 44 ÷ 4 = 11. Larger share = 3 × 11 = 33.

  3. 3. 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.

  4. 4. Share 35 in the ratio 2:5. What is the larger share?

    25

    Total parts = 2 + 5 = 7. One part = 35 ÷ 7 = 5. Larger share = 5 × 5 = 25.

  5. 5. Share 24 in the ratio 1:3. What is the larger share?

    18

    Total parts = 1 + 3 = 4. One part = 24 ÷ 4 = 6. Larger share = 3 × 6 = 18.

  6. 6. Share 120 in the ratio 3:7. What is the larger share?

    84

    Total parts = 3 + 7 = 10. One part = 120 ÷ 10 = 12. Larger share = 7 × 12 = 84.

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

    20

    Total parts = 1 + 2 = 3. One part = 30 ÷ 3 = 10. Larger share = 2 × 10 = 20.

  8. 8. 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.

  9. 9. Share 14 in the ratio 2:5. What is the larger share?

    10

    Total parts = 2 + 5 = 7. One part = 14 ÷ 7 = 2. Larger share = 5 × 2 = 10.

  10. 10. Share 56 in the ratio 3:5. What is the larger share?

    35

    Total parts = 3 + 5 = 8. One part = 56 ÷ 8 = 7. Larger share = 5 × 7 = 35.

  11. 11. 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.

  12. 12. Share 120 in the ratio 3:5. What is the larger share?

    75

    Total parts = 3 + 5 = 8. One part = 120 ÷ 8 = 15. Larger share = 5 × 15 = 75.

12 questions · Seed 104733 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 12 in the ratio 1:3. What is the larger share?

    12 · 1 · 3 · Sharing in a ratio

  2. 2. Share 44 in the ratio 1:3. What is the larger share?

    44 · 1 · 3 · Sharing in a ratio

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

    30 · 2 · 3 · Sharing in a ratio

  4. 4. Share 35 in the ratio 2:5. What is the larger share?

    35 · 2 · 5 · Sharing in a ratio

  5. 5. Share 24 in the ratio 1:3. What is the larger share?

    24 · 1 · 3 · Sharing in a ratio

  6. 6. Share 120 in the ratio 3:7. What is the larger share?

    120 · 3 · 7 · Sharing in a ratio

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

    30 · 1 · 2 · Sharing in a ratio

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

    105 · 3 · 4 · Sharing in a ratio

  9. 9. Share 14 in the ratio 2:5. What is the larger share?

    14 · 2 · 5 · Sharing in a ratio

  10. 10. Share 56 in the ratio 3:5. What is the larger share?

    56 · 3 · 5 · Sharing in a ratio

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

    52 · 1 · 3 · Sharing in a ratio

  12. 12. Share 120 in the ratio 3:5. What is the larger share?

    120 · 3 · 5 · Sharing in a ratio
12 questions · Seed 104733 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 12 in the ratio 1:3. What is the larger share?

    9

    Total parts = 1 + 3 = 4. One part = 12 ÷ 4 = 3. Larger share = 3 × 3 = 9.

  2. 2. Share 44 in the ratio 1:3. What is the larger share?

    33

    Total parts = 1 + 3 = 4. One part = 44 ÷ 4 = 11. Larger share = 3 × 11 = 33.

  3. 3. 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.

  4. 4. Share 35 in the ratio 2:5. What is the larger share?

    25

    Total parts = 2 + 5 = 7. One part = 35 ÷ 7 = 5. Larger share = 5 × 5 = 25.

  5. 5. Share 24 in the ratio 1:3. What is the larger share?

    18

    Total parts = 1 + 3 = 4. One part = 24 ÷ 4 = 6. Larger share = 3 × 6 = 18.

  6. 6. Share 120 in the ratio 3:7. What is the larger share?

    84

    Total parts = 3 + 7 = 10. One part = 120 ÷ 10 = 12. Larger share = 7 × 12 = 84.

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

    20

    Total parts = 1 + 2 = 3. One part = 30 ÷ 3 = 10. Larger share = 2 × 10 = 20.

  8. 8. 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.

  9. 9. Share 14 in the ratio 2:5. What is the larger share?

    10

    Total parts = 2 + 5 = 7. One part = 14 ÷ 7 = 2. Larger share = 5 × 2 = 10.

  10. 10. Share 56 in the ratio 3:5. What is the larger share?

    35

    Total parts = 3 + 5 = 8. One part = 56 ÷ 8 = 7. Larger share = 5 × 7 = 35.

  11. 11. 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.

  12. 12. Share 120 in the ratio 3:5. What is the larger share?

    75

    Total parts = 3 + 5 = 8. One part = 120 ÷ 8 = 15. Larger share = 5 × 15 = 75.

12 questions · Seed 104733 · Age guidance, not curriculum certification