Robinson Tuition
Grade 3 · Foundation · free GCSE maths worksheet

Sharing in a ratio

Dividing an amount into given parts.

18 original questions, 48 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

Aisha and Ben share £20 in the ratio 1 : 3.

How much does each person get?

2 marks
Show answer
Aisha) £5 Ben) £15
2

Write the ratio 50p : £2 in its simplest form.

2 marks
Show answer
1 : 4
3

Kemi and Layla share some money in the ratio 3 : 7.

Kemi says, "I get 37 of the money."

Kemi is wrong. Explain why.

1 mark
Show answer
There are 3 + 7 = 10 parts in total, so Kemi gets 310 of the money, not 37
4

A bag has 36 sweets. They are shared between Priya and Tom in the ratio 4 : 5.

How many sweets does each get?

2 marks
Show answer
Priya) 16 Tom) 20
5

Write down the ratio 20 : 35 in its simplest form.

1 mark
Show answer
4 : 7
6

Here are the first four terms of a sequence.

6   10   14   18

Write the ratio of the 2nd term to the 6th term in its simplest form.

2 marks
Show answer
5 : 13
7

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
8

Money is shared between Lola and Femi in the ratio 3 : 5.

Lola gets £21.

Work out how much money was shared altogether.

3 marks
Show answer
£56
9

Amir, Bella and Carl share £132 in the ratio 1 : 4 : 6.

Work out how much money each of them gets.

3 marks
Show answer
Amir) £12 Bella) £48 Carl) £72
10

£250 is shared between three people in the ratio 2 : 3 : 5.

Work out the difference between the largest and the smallest share.

3 marks
Show answer
£75
11

In a choir there are 16 sopranos and 24 altos.

Write down the ratio of the number of sopranos to the number of altos.

Give your ratio in its simplest form.

2 marks
Show answer
2 : 3
12

Red paint and white paint are mixed in the ratio 2 : 7.

The total amount of paint is 4.5 litres.

How many millilitres of red paint are used?

3 marks
Show answer
1000 ml
13

Each month Tom is paid £1800.

He saves 20% of the £1800.

He splits the rest between rent and bills in the ratio 5 : 3.

Work out how much Tom spends on rent each month.

3 marks
Show answer
£900
14

A shop orders 240 candles.

The ratio of large candles to small candles ordered is 3 : 5.

Each large candle costs £4.20.

Each small candle costs £2.50.

Work out the total cost of the order.

4 marks
Show answer
£753
15

At a cinema screening there are 84 adults and 63 children.

Write down the ratio of the number of adults to the number of children.

Give your ratio in its simplest form.

2 marks
Show answer
4 : 3
16

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
17

At a show, the ratio of adults to children is 3 : 4.

There are 140 people altogether.

12 adults then leave.

Write the new ratio of adults to children in its simplest form.

4 marks
Show answer
3 : 5
18

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

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.

All Grade 3 topics