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Grade 3 · Foundation · free GCSE maths worksheet

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Comparing value for money.

16 original questions, 62 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 shop sells two sizes of box of teabags.

Small box: 80 teabags for £2.40

Large box: 240 teabags for £6.60

Which box is the better value for money? Show your working.

3 marks
Show answer
Large box - 2.75p per teabag compared with 3p per teabag
2

Washing-up liquid is sold in two sizes of bottle.

500 ml bottle for £1.20

750 ml bottle for £1.65

Work out which bottle is the better value for money. You must show your working.

3 marks
Show answer
750 ml bottle - 0.22p per ml compared with 0.24p per ml
3

Two shops sell the same tins of soup.

Shop A: 3 tins for £2.10

Shop B: 4 tins for £2.72

Decide which shop gives the better value for money. Show your working.

3 marks
Show answer
Shop B - 68p per tin compared with 70p per tin
4

Two shops sell the same orange juice.

Shop A sells a 2 litre carton for £1.85.

Shop B sells a 1.5 litre carton for £1.35.

Show which carton is the better value for money.

4 marks
Show answer
Shop B's carton - 90p per litre compared with 92.5p per litre
5

A games console costs £399 in London.

The same console costs €448.50 in Dublin.

The exchange rate is £1 = €1.15.

In which city is the console cheaper, and by how much? Give your answer in pounds.

3 marks
Show answer
Dublin, by £9
6

A supermarket sells two special offer boxes of cereal.

Box A: 500 g for £3.20, with 25% extra free

Box B: 750 g for £3.60, with 10% off the price

Decide which box is the better value for money. You must show your working.

4 marks
Show answer
Box B - 0.432p per gram compared with 0.512p per gram
7

Peanut butter is sold in three sizes of jar.

Small: 250 g for £1.10

Medium: 400 g for £1.68

Large: 600 g for £2.58

Work out which jar is the best value for money. You must show your working.

4 marks
Show answer
Medium jar - 0.42p per gram (small is 0.44p per gram, large is 0.43p per gram)
8

Layla needs 18 identical notebooks for a club.

Shop A sells the notebooks at £1.20 each, with an offer of buy 2 get 1 free.

Shop B sells the notebooks at £1.05 each, with 10% off the total cost when you buy 15 or more.

Work out which shop is cheaper for 18 notebooks, and by how much.

4 marks
Show answer
Shop A by £2.61 (Shop A £14.40, Shop B £17.01)
9

A phone costs £520 in a UK shop.

In a New York shop the same phone costs $650 plus sales tax at 8%.

The exchange rate is £1 = $1.35.

Show that the phone costs the same in both shops.

3 marks
Show answer
New York total = 650 × 1.08 = $702; 7021.35 = £520, the same as the UK price
10

The same perfume is sold in London and in Paris.

In London it costs £42 for a 50 ml bottle.

In Paris it costs 52.80 euros for a 60 ml bottle.

£1 = 1.20 euros

Work out in which city the perfume is better value for money. You must show your working.

4 marks
Show answer
Paris - about 73.3p per ml compared with 84p per ml in London
11

In England, petrol costs £1.44 per litre.

In America, petrol costs 3.80 dollars per US gallon.

1 US gallon = 3.8 litres

£1 = 1.25 dollars

Show that petrol is cheaper in America than in England.

4 marks
Show answer
America: $1 per litre = £0.80 per litre, which is less than £1.44 per litre
12

A teacher needs 48 cartons of juice for a school trip.

Shop A sells packs of 8 cartons for £2.16 per pack.

Shop B sells packs of 6 cartons for £1.68 per pack.

Work out which shop is cheaper for exactly 48 cartons, and by how much.

4 marks
Show answer
Shop A by 48p (Shop A £12.96, Shop B £13.44)
13

In a UK shop, a 750 g bag of rice costs £3.30.

In a shop in France, a 2 kg bag of the same rice costs €9.60.

The exchange rate is £1 = €1.20

Which shop sells the rice at the better value? You must show your working.

4 marks
Show answer
The French shop (about £4.00 per kg compared with £4.40 per kg)
14

Sam is organising a barbecue and needs at least 30 bread rolls.

Bread rolls are sold in packs of 6 for £1.10 and packs of 15 for £2.55.

Work out the cheapest way for Sam to buy at least 30 rolls, and the cost.

5 marks
Show answer
Two packs of 15 for £5.10
15

Mia needs at least 40 paper cups and at least 40 paper plates for a party.

Cups: pack of 25 for £1.80, or pack of 10 for £0.85

Plates: pack of 20 for £2.40, or pack of 8 for £1.10

Work out the cheapest total cost for Mia. You must show your working.

5 marks
Show answer
£8.20
16

A shop sells rice in two sizes of bag.

Small bag: 500 g for £1.35
Large bag: 2 kg for £4.80

Meena needs exactly 6 kg of rice.

Work out the cheapest way for Meena to buy exactly 6 kg of rice. You must show that your way is the cheapest.

5 marks
Show answer
3 large bags for £14.40

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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