Robinson Tuition
Grade 3 · Foundation · free GCSE maths worksheet

Unitary method and simple direct proportion

Finding the cost of one then scaling up.

19 original questions, 53 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 4 people uses 300 g of pasta.

Work out how much pasta is needed for 10 people.

2 marks
Show answer
750 g
2

The exchange rate is £1 = €1.14.

Nadia changes £250 into euros.

Work out how many euros she gets.

2 marks
Show answer
€285
3

Potatoes cost £1.20 per kilogram.

Work out the cost of 3.5 kg of potatoes.

2 marks
Show answer
£4.20
4

5 pens cost £3.50

Work out the cost of 8 of these pens.

2 marks
Show answer
£5.60
5

Rosie asked 60 students at her school to name their favourite sport.

24 of the students said football.

There are 900 students at the school.

Work out an estimate for the number of students at the school whose favourite sport is football.

2 marks
Show answer
360
6

On holiday in France, Callum sees a jacket priced at €84.

The exchange rate is £1 = €1.20.

Work out the cost of the jacket in pounds.

3 marks
Show answer
£70
7

3 kg of potatoes cost £2.64.

Work out the cost of 7 kg of these potatoes.

3 marks
Show answer
£6.16
8

Theo changes £320 into dollars.

The exchange rate is £1 = $1.30.

He is given as many $50 notes as possible, with the rest in smaller notes.

Work out the number of $50 notes Theo is given.

3 marks
Show answer
8
9

7 theatre tickets cost £52.50

Work out the cost of 12 of these tickets.

2 marks
Show answer
£90
10

There are 380 calories in 100 g of a breakfast cereal.

There are 64 calories in 100 ml of milk.

Jess has a bowl of 45 g of the cereal with 125 ml of the milk.

Work out the total number of calories in Jess's bowl.

3 marks
Show answer
251
11

Priya works for 9 hours.

She is paid a total of £102.60

Priya is paid the same amount for each hour she works.

Work out how much Priya is paid per hour.

2 marks
Show answer
£11.40
12

Here is a recipe for 12 biscuits.

12 biscuits: 180 g butter, 240 g flour, 100 g sugar

Meg wants to make 30 biscuits.

She has 425 g of butter, plenty of flour and plenty of sugar.

Does Meg have enough butter to make 30 biscuits? You must show your working.

3 marks
Show answer
No - 30 biscuits need 450 g of butter and she only has 425 g, so she is 25 g short
13

A machine fills 240 bottles in 8 minutes.

How many bottles does it fill in 30 minutes?

3 marks
Show answer
900
14

£1 = €1.15

  1. Change £40 to euros.
  2. Change €92 to pounds.
3 marks
Show answer
a) €46 b) £80
15

A car park charges 6p for each minute of parking.

Dan drives into the car park at 09:40.

When he leaves, he pays £3.90.

Work out the time Dan leaves the car park.

3 marks
Show answer
10:45
16

A car uses 6 litres of petrol to travel 54 miles.

How far can the car travel on 10 litres of petrol?

3 marks
Show answer
90 miles
17

A recipe for 8 flapjacks uses 240 g of oats.

Noah wants to make 30 flapjacks.

He has 850 g of oats.

Work out how many more grams of oats Noah needs.

4 marks
Show answer
50 g
18

Grass seed needs to be spread at 35 g per square metre.

Harry's rectangular lawn is 12 m long and 8 m wide.

Grass seed is sold in 1 kg boxes.

Each box costs £6.99.

Work out the total cost of the boxes of grass seed Harry needs to buy.

5 marks
Show answer
£27.96
19

A tap fills 15 litres of water in 212 minutes.

How long does the tap take to fill a 40 litre tank?
Give your answer in minutes and seconds.

3 marks
Show answer
6 minutes 40 seconds

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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