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Dividing a Quantity in a Given Ratio (Year 7)

Free printable UK Year 7 (Key Stage 3) maths worksheet: share a quantity in a given part:part or part:whole ratio, and express a division into parts as a ratio.

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Grade 6 · Math worksheet
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Math

Dividing a Quantity in a Given Ratio

Share each quantity in the ratio given, or write the division of a quantity into parts as a ratio in simplest form.

  1. 1.
    Share 44 m² of land in the ratio 6 : 5. How much is each share?
  2. 2.
    Share $70 of prize money in the ratio 3 : 7. How much is each share?
  3. 3.
    Share 187 cm of ribbon in the ratio 8 : 9. How much is each share?
  4. 4.
    Share 117 sweets in the ratio 9 : 4. How much is each share?
  5. 5.
    Share 54 sweets in the ratio 5 : 4. How much is each share?
  6. 6.
    Share $104 of prize money in the ratio 6 : 6 : 1. Find each share.
  7. 7.
    Share 78 m² of land in the ratio 2 : 6 : 5. Find each share.
  8. 8.
    Share 35 cm of ribbon in the ratio 1 : 4 : 2. Find each share.
  9. 9.
    A length of ribbon is divided in the ratio 3 : 8. The first part is 15 cm of ribbon. What is the total?
  10. 10.
    The prize money is divided in the ratio 8 : 7. The first part is $16 of prize money. What is the second part?
  11. 11.
    The prize money is divided in the ratio 2 : 5. The first part is $16 of prize money. What is the total?
  12. 12.
    A bag of sweets is divided in the ratio 2 : 5. The first part is 14 sweets. What is the second part?
  13. 13.
    A length of ribbon is split into 3 cm of ribbon and 12 cm of ribbon. Express this division as a ratio in simplest form.
  14. 14.
    A length of ribbon is split into 18 cm of ribbon and 2 cm of ribbon. Express this division as a ratio in simplest form.
  15. 15.
    A bag of marbles is split into 54 marbles and 48 marbles. Express this division as a ratio in simplest form.
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