Writing and Simplifying Ratio worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

1. 2 marks

   There are 96 members in a swimming club. 56 of the members are adults. The rest are children.

   Write down the ratio of adults to children. Give your answer in its simplest form.

2. 2 marks

   Write each of these ratios in its simplest form.

   (a)

   \(24 : 60\)

   (b)

   \(7 : 63\)

3. 2 marks

   A compost is made from soil, sand and bark in the ratio \(44 : 11 : 66\).

   Write this ratio in its simplest form.

4. 2 marks

   Nadia is asked to write the ratio \(50 : 40\) in its simplest form.

   She writes \(50 : 40 = 10 : 8\)

   Explain what Nadia has done wrong, and write \(50 : 40\) in its simplest form.

5. 2 marks

   Write the ratio 30 minutes to 2 hours in its simplest form.

6. 2 marks

   In a cinema audience the ratio of adults to children is \(8 : 20\).

   Write this ratio in the form \(1 : n\).

7. 4 marks

   Neither of these ratios is written with whole numbers.

   Write each of them in its simplest form.

   (a)

   \(0.8 : 2.8\)

   (b)

   \(\frac{ 2 }{ 9 } : \frac{ 6 }{ 11 }\)

8. 3 marks

   A box contains only green, black and pink pencils.

   There are 24 green pencils in the box.

   There are three times as many black pencils as green pencils.

   There are 66 fewer pink pencils than black pencils.

   Write the ratio of green pencils to black pencils to pink pencils in its simplest form.

9. 3 marks

   Two jugs of blackcurrant squash are made by mixing cordial with water.

   Jug A is made by mixing 2 parts cordial with 10 parts water.

   Jug B is made by mixing 5 parts cordial with 20 parts water.

   Which jug of blackcurrant squash is stronger? You must show your working.

10. 2 marks

    There are 66 members in a swimming club. 24 of the members are adults. The rest are children.

    Write down the ratio of adults to children. Give your answer in its simplest form.

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