Robinson Tuition
Grade 4 · Foundation and Higher · free GCSE maths worksheet

Finding amounts from a ratio when one part is known

Scaling a ratio to find the total or another part.

14 original questions, 51 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

A recipe for flapjacks uses oats and butter in the ratio 5 : 2.

Beth uses 350 g of oats.

Work out how much butter she needs.

2 marks
Show answer
140 g
2

A bag contains red, blue and green counters in the ratio 2 : 3 : 5.

There are 12 blue counters.

Work out the total number of counters in the bag.

3 marks
Show answer
40
3

In a gym class, the ratio of the number of men to the number of women is 4 : 5.

There are 20 men in the class.

Work out the total number of people in the class.

2 marks
Show answer
45
4

Dev, Ella and Farid share some money.

The ratio of Dev’s money to Ella’s money is 1 : 3. The ratio of Ella’s money to Farid’s money is 3 : 2.

Ella has £45.

Work out how much money Farid has.

3 marks
Show answer
£30
5

In a fruit bowl there are apples, bananas and pears.

The ratio of apples to bananas is 3 : 2.

The ratio of bananas to pears is 4 : 3.

There are 24 apples in the bowl.

Work out the number of pears in the bowl.

3 marks
Show answer
12
6

Ella, Fred and Grace share some money in the ratio 3 : 5 : 8.

Grace gets £35 more than Ella.

Work out the total amount of money they share.

4 marks
Show answer
£112
7

Aisha, Ben and Chloe share £420.

The ratio of Aisha’s share to Ben’s share is 2 : 3. The ratio of Ben’s share to Chloe’s share is 4 : 5.

Work out how much each person gets.

4 marks
Show answer
Aisha) 96 Ben) 144 Chloe) 180
8

A school buys pens in packs of 12 and pencils in packs of 20.

The ratio of the number of packs of pens to the number of packs of pencils bought is 5 : 2.

Show that the ratio of the number of pens to the number of pencils bought is 3 : 2.

4 marks
Show answer
For every 5 packs of pens and 2 packs of pencils there are 60 pens and 40 pencils; 60 : 40 = 3 : 2
9

The ratio of the amount of money Priya has to the amount of money Quinn has is 7 : 5.

Priya gives Quinn £18.

Now they each have the same amount of money.

Work out how much money Priya had originally.

4 marks
Show answer
£126
10

Mo and Nia share £480 in the ratio 5 : 3.

Mo then gives £30 to Nia.

Work out the ratio of Mo’s money to Nia’s money now. Give your answer in its simplest form.

4 marks
Show answer
9 : 7
11

In a box, the ratio of the number of red counters to the number of blue counters is 4 : 7.

12 more red counters are put into the box.

The ratio of the number of red counters to the number of blue counters is now 2 : 3.

Work out the number of blue counters in the box.

4 marks
Show answer
126
12

Ravi, Sunita and Tom share £600 in the ratio 2 : 3 : 5.

Ravi gives 25% of his share to Tom. Sunita gives 13 of her share to Tom.

Work out how much money Tom has now.

5 marks
Show answer
£390
13

Leah and Sam share £480 in the ratio 5 : 7.

Sam gives 30% of his share to charity.

Leah gives £60 of her share to charity.

Sam gives more money to charity than Leah does.

Work out how much more.

5 marks
Show answer
£24
14

A school has four classes, A, B, C and D, entering a competition.

The ratio of the number of pupils in A to the number in B is 2 : 3. The ratio of the number in B to the number in C is 6 : 5. The ratio of the number in C to the number in D is 10 : 7.

There are 21 pupils in class D.

Work out the number of pupils in class A.

4 marks
Show answer
24

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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