A market stall sells oranges in bags. Which bag is better value: 4 oranges for 80p or 6 oranges for £1.08? Give the cheaper price per orange.
(Total for Question 1 is 1 mark)
2
A supermarket sells orange squash in two sizes: a 1.2 litre bottle for £1.68, or a 2 litre bottle for £2.60. Give the cheaper price per litre and state which bottle it is.
(Total for Question 2 is 1 mark)
3
A 500 g bag of pasta costs £1.20. Work out the cost per 100 g.
(Total for Question 3 is 1 mark)
4
A box of 12 fish fingers costs £3.00. A portion uses 3 fish fingers. Work out the cost of one portion.
(Total for Question 4 is 2 marks)
5
Which is better value per kg: a 250 g block of cheese for £2.10, or a 400 g block for £3.20? Work out the cost per kg for both.
(Total for Question 5 is 2 marks)
6
A 3 kg bag of dog food costs £9.00. Work out the cost of 800 g of dog food.
(Total for Question 6 is 2 marks)
7
A shop sells fruit squash in three sizes. Compare the prices and state which is best value per 100 ml. Small: 500 ml for £1.35. Medium: 1 litre for £2.40. Large: 2 litre for £4.20. Work out the price per 100 ml for each size and give the best value.
(Total for Question 7 is 3 marks)
8
Notebooks normally cost £2.50 each. Offer A: 20% off when you buy 2 or more. Offer B: buy 2, get the 3rd half price. Priya wants exactly 3 notebooks. Which offer gives the lower total price? Show your working.
(Total for Question 8 is 3 marks)
9
A gardener needs at least 9 kg of compost for a raised bed. Compost is sold in 2 kg bags at £3.20 and 5 kg bags at £7.00. Show that buying one 5 kg bag and two 2 kg bags is cheaper than buying five 2 kg bags or two 5 kg bags.
(Total for Question 9 is 3 marks)
10
A 400 g pack of birdseed costs £1.60. Work out the cost of 1.4 kg of birdseed.
(Total for Question 10 is 2 marks)
11
A pack of 4 batteries costs £2.60. A pack of 10 batteries costs £6.00. Which pack is better value per battery? Show your working.
(Total for Question 11 is 2 marks)
12
A school needs at least 20 exercise books. A shop sells exercise books singly at £1.10, or in packs of 6 for £6.00. Compare the cost of buying 4 packs of 6 with the cost of buying 3 packs of 6 plus 2 single books, and state the cheaper way to get at least 20 books.
(Total for Question 12 is 3 marks)
13
A 1.5 kg bag of porridge oats costs £2.70. Work out the cost per 100 g. Give your answer in pence.
(Total for Question 13 is 2 marks)
14
A homeowner needs 500 litres of heating oil. Supplier A charges 68p per litre. Supplier B charges 65p per litre. How much would be saved by using Supplier B instead of Supplier A?
(Total for Question 14 is 2 marks)
15
A garden furniture set normally costs £180. Offer A: 15% off the normal price. Offer B: £25 off the normal price. Work out the price under each offer, state which offer is cheaper, and give the difference between the two prices.
(Total for Question 15 is 4 marks)
16
Hand wash is sold in a 300 ml bottle for £1.80 and a 500 ml refill pouch for £2.50. Which is better value per 100 ml? Show your working.
(Total for Question 16 is 2 marks)
17
A student compares two boxes of cereal bars. Box A: 8 bars for £2.40. Box B: 5 bars for £1.55. The student's working: "Box A: 240 divide by 8 = 30p per bar. Box B: 155 divide by 5 = 29p per bar. Box B is better value." The student has made an error. Find the error, correct it, and state which box is actually better value.
(Total for Question 17 is 3 marks)
18
Two brands of dishwasher tablets are sold. Brand A: 30 tablets for £6.90, and a normal wash uses 1 tablet. Brand B: 45 tablets for £9.45, but each wash needs 1.5 tablets for a full-size load. Work out the cost per wash for each brand and state which is better value per wash.
(Total for Question 18 is 3 marks)
Mark scheme · 3.12DB Best Buy Questions: Fluency and Exam Drill (Part 2)
Question 1
B1 Identify 6 for £1.08 is better value, 108/6 = 18p each cao
Answer: 6 oranges for £1.08 (18p each). 4 for 80p is 20p each, 6 for £1.08 is 18p each (better). 18p cao
Question 2
B1 2 litre bottle cheaper, 260/2 = 130p per litre cao
Answer: 2 litre bottle, 130p per litre (cheaper than 140p per litre for the 1.2 litre bottle).
Question 3
B1 24p per 100 g cao
Answer: 24p per 100 g (120p/500g = 0.24p per g, so 24p per 100 g).
Question 4
M1 Find unit price: 300p/12 = 25p per fish finger
A1 75p cao
Answer: 75p (25p per fish finger x 3 = 75p per portion).
Question 5
M1 Calculate 250 g block: 210p/0.25 = 840p per kg; 400 g block: 320p/0.4 = 800p per kg
A1 400 g block is better value, 800p per kg cao
Answer: 400 g block is better value: 800p per kg vs 840p per kg for the 250 g block.
Question 6
M1 Scale: 800/3000 of £9.00 or 900p * 800/3000
A1 £2.40 cao
Answer: £2.40 (900p x 800/3000 = 240p).
Question 7
M1 Calculate two unit prices, e.g. small 135p/500*100 = 27p, medium 240p/1000*100 = 24p
M1 Calculate large: 420p/2000*100 = 21p
A1 Large bottle is best value, 21p per 100 ml cao
Answer: Small = 27p per 100 ml, Medium = 24p per 100 ml, Large = 21p per 100 ml. Best value = Large, 21p per 100 ml.
Question 8
M1 Compute Offer A: 3 x £2.50 = £7.50, 20% off = £7.50 x 0.8 = £6.00
M1 Compute Offer B: 2.50 + 2.50 + 1.25 = £6.25
A1 Offer A is cheaper, £6.00 cao
Answer: Offer A is cheaper: £6.00 for 3 notebooks (Offer B costs £6.25).
Question 9
dM1 Calculate cost of 5 x 2 kg = 5 * £3.20 = £16.00 cso
dM1 Calculate cost of 1 x 5 kg + 2 x 2 kg = £7.00 + £6.40 = £13.40 cso
A1 Conclude cheapest is 5 kg + 2x2 kg = £13.40 cao, less than both £16.00 and £14.00
Answer: 1 x 5 kg + 2 x 2 kg costs £13.40 and gives 9 kg. Five 2 kg bags cost £16.00 (10 kg). Two 5 kg bags cost £14.00 (10 kg). Since £13.40 is less than both £16.00 and £14.00, one 5 kg bag plus two 2 kg bags is the cheapest way to get at least 9 kg.
Question 10
M1 Recognise 1.4 kg is 3.5 times 400 g and multiply: 1.60 * 3.5
A1 £5.60 cao
Answer: £5.60 (3.5 x £1.60).
Question 11
M1 Calculate unit prices: 260p/4 = 65p; 600p/10 = 60p
A1 10 pack is better value, 60p per battery cao
Answer: 10 pack is better value: 60p per battery (4 pack is 65p per battery).