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

    60 · 2 · 3 · Sharing in a ratio

  2. 2. Share 14 in the ratio 3:4. What is the larger share?

    14 · 3 · 4 · Sharing in a ratio

  3. 3. Share 33 in the ratio 1:2. What is the larger share?

    33 · 1 · 2 · Sharing in a ratio

  4. 4. Share 30 in the ratio 3:7. What is the larger share?

    30 · 3 · 7 · Sharing in a ratio

  5. 5. Share 16 in the ratio 1:3. What is the larger share?

    16 · 1 · 3 · Sharing in a ratio

  6. 6. Share 21 in the ratio 2:5. What is the larger share?

    21 · 2 · 5 · Sharing in a ratio

  7. 7. Share 30 in the ratio 1:4. What is the larger share?

    30 · 1 · 4 · Sharing in a ratio

  8. 8. Share 42 in the ratio 2:5. What is the larger share?

    42 · 2 · 5 · Sharing in a ratio

  9. 9. Share 20 in the ratio 1:3. What is the larger share?

    20 · 1 · 3 · Sharing in a ratio

  10. 10. Share 15 in the ratio 1:4. What is the larger share?

    15 · 1 · 4 · Sharing in a ratio

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

    32 · 3 · 5 · Sharing in a ratio

  12. 12. Share 77 in the ratio 2:5. What is the larger share?

    77 · 2 · 5 · Sharing in a ratio
12 questions · Seed 43 · 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 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.

  2. 2. Share 14 in the ratio 3:4. What is the larger share?

    8

    Total parts = 3 + 4 = 7. One part = 14 ÷ 7 = 2. Larger share = 4 × 2 = 8.

  3. 3. Share 33 in the ratio 1:2. What is the larger share?

    22

    Total parts = 1 + 2 = 3. One part = 33 ÷ 3 = 11. Larger share = 2 × 11 = 22.

  4. 4. Share 30 in the ratio 3:7. What is the larger share?

    21

    Total parts = 3 + 7 = 10. One part = 30 ÷ 10 = 3. Larger share = 7 × 3 = 21.

  5. 5. Share 16 in the ratio 1:3. What is the larger share?

    12

    Total parts = 1 + 3 = 4. One part = 16 ÷ 4 = 4. Larger share = 3 × 4 = 12.

  6. 6. Share 21 in the ratio 2:5. What is the larger share?

    15

    Total parts = 2 + 5 = 7. One part = 21 ÷ 7 = 3. Larger share = 5 × 3 = 15.

  7. 7. Share 30 in the ratio 1:4. What is the larger share?

    24

    Total parts = 1 + 4 = 5. One part = 30 ÷ 5 = 6. Larger share = 4 × 6 = 24.

  8. 8. Share 42 in the ratio 2:5. What is the larger share?

    30

    Total parts = 2 + 5 = 7. One part = 42 ÷ 7 = 6. Larger share = 5 × 6 = 30.

  9. 9. Share 20 in the ratio 1:3. What is the larger share?

    15

    Total parts = 1 + 3 = 4. One part = 20 ÷ 4 = 5. Larger share = 3 × 5 = 15.

  10. 10. Share 15 in the ratio 1:4. What is the larger share?

    12

    Total parts = 1 + 4 = 5. One part = 15 ÷ 5 = 3. Larger share = 4 × 3 = 12.

  11. 11. 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. 12. Share 77 in the ratio 2:5. What is the larger share?

    55

    Total parts = 2 + 5 = 7. One part = 77 ÷ 7 = 11. Larger share = 5 × 11 = 55.

12 questions · Seed 43 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Sharing in a ratio

Take your time. Show your thinking.

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

    60 · 2 · 3 · Sharing in a ratio

  2. 2. Share 14 in the ratio 3:4. What is the larger share?

    14 · 3 · 4 · Sharing in a ratio

  3. 3. Share 33 in the ratio 1:2. What is the larger share?

    33 · 1 · 2 · Sharing in a ratio

  4. 4. Share 30 in the ratio 3:7. What is the larger share?

    30 · 3 · 7 · Sharing in a ratio

  5. 5. Share 16 in the ratio 1:3. What is the larger share?

    16 · 1 · 3 · Sharing in a ratio

  6. 6. Share 21 in the ratio 2:5. What is the larger share?

    21 · 2 · 5 · Sharing in a ratio

  7. 7. Share 30 in the ratio 1:4. What is the larger share?

    30 · 1 · 4 · Sharing in a ratio

  8. 8. Share 42 in the ratio 2:5. What is the larger share?

    42 · 2 · 5 · Sharing in a ratio

  9. 9. Share 20 in the ratio 1:3. What is the larger share?

    20 · 1 · 3 · Sharing in a ratio

  10. 10. Share 15 in the ratio 1:4. What is the larger share?

    15 · 1 · 4 · Sharing in a ratio

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

    32 · 3 · 5 · Sharing in a ratio

  12. 12. Share 77 in the ratio 2:5. What is the larger share?

    77 · 2 · 5 · Sharing in a ratio
12 questions · Seed 43 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. 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.

  2. 2. Share 14 in the ratio 3:4. What is the larger share?

    8

    Total parts = 3 + 4 = 7. One part = 14 ÷ 7 = 2. Larger share = 4 × 2 = 8.

  3. 3. Share 33 in the ratio 1:2. What is the larger share?

    22

    Total parts = 1 + 2 = 3. One part = 33 ÷ 3 = 11. Larger share = 2 × 11 = 22.

  4. 4. Share 30 in the ratio 3:7. What is the larger share?

    21

    Total parts = 3 + 7 = 10. One part = 30 ÷ 10 = 3. Larger share = 7 × 3 = 21.

  5. 5. Share 16 in the ratio 1:3. What is the larger share?

    12

    Total parts = 1 + 3 = 4. One part = 16 ÷ 4 = 4. Larger share = 3 × 4 = 12.

  6. 6. Share 21 in the ratio 2:5. What is the larger share?

    15

    Total parts = 2 + 5 = 7. One part = 21 ÷ 7 = 3. Larger share = 5 × 3 = 15.

  7. 7. Share 30 in the ratio 1:4. What is the larger share?

    24

    Total parts = 1 + 4 = 5. One part = 30 ÷ 5 = 6. Larger share = 4 × 6 = 24.

  8. 8. Share 42 in the ratio 2:5. What is the larger share?

    30

    Total parts = 2 + 5 = 7. One part = 42 ÷ 7 = 6. Larger share = 5 × 6 = 30.

  9. 9. Share 20 in the ratio 1:3. What is the larger share?

    15

    Total parts = 1 + 3 = 4. One part = 20 ÷ 4 = 5. Larger share = 3 × 5 = 15.

  10. 10. Share 15 in the ratio 1:4. What is the larger share?

    12

    Total parts = 1 + 4 = 5. One part = 15 ÷ 5 = 3. Larger share = 4 × 3 = 12.

  11. 11. 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. 12. Share 77 in the ratio 2:5. What is the larger share?

    55

    Total parts = 2 + 5 = 7. One part = 77 ÷ 7 = 11. Larger share = 5 × 11 = 55.

12 questions · Seed 43 · Age guidance, not curriculum certification