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3.12F Best Buy Questions: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

A packet of 6 cereal bars costs 1.80. Work out the unit price of one cereal bar.

(Total for Question 1 is 1 mark)

Jo buys a 750 g bag of rice for 1.95. Work out the price of 100 g of rice. Give your answer in pence, correct to 1 decimal place if necessary.

(Total for Question 2 is 2 marks)

Two sizes of milk are available.
- Small: 1.2 litres for 1.08
- Large: 2 litres for 1.75
Which is the better buy? Show your working.

(Total for Question 3 is 2 marks)

A pack of 8 pens costs 3.20. A different shop sells individual pens at 0.45 each.
Which is cheaper and by how much per pen? Show working.

(Total for Question 4 is 3 marks)

A supermarket sells a 500 g jar of jam for 1.40 or a 340 g jar for 1.00.
Work out which jar is better value and show the price per 100 g for the better value jar.

(Total for Question 5 is 3 marks)

A multipack of 12 bottles of water costs 4.08. There is a special offer: buy one multipack and get a second multipack for half price.
Work out the cost per bottle if a customer buys two multipacks under this offer. Show your working.

(Total for Question 6 is 4 marks)

Maya is choosing between two offers on detergent.
- Offer A: 2 packs for 6.00
- Offer B: 3 packs for 8.25
Which offer gives the lower price per pack? Show your working and give the answer to the nearest penny.

(Total for Question 7 is 4 marks)

A shop sells biscuits in tins. The 350 g tin costs 2.20 and the 600 g tin costs 3.60.
A customer needs 1 kg of biscuits. Work out whether it is cheaper to buy two 600 g tins or three 350 g tins. Show full working and state the cheapest option with the total cost.

(Total for Question 8 is 5 marks)

A fruit juice is sold in two sizes.
- Carton A: 750 ml for 1.20
- Carton B: 1.5 litres for 2.35
A family needs 3.75 litres of juice for a party.
Calculate the least cost way to buy at least 3.75 litres. You may buy a mix of cartons. Show all working and give the total cost.

(Total for Question 9 is 6 marks)

A bakery sells muffins in boxes of 4 for 2.80 or loose at 0.80 each. There is a school event needing exactly 20 muffins.
Work out the least cost way to buy exactly 20 muffins and give the total cost. Show working.

(Total for Question 10 is 4 marks)

Mark scheme · 3.12F Best Buy Questions: Foundation Tier Practice

Question 1

B1 30 pence or 0.30 cao
Answer: 0.30 (30p)

Question 2

M1 correct method, e.g. 1.95/750 × 100 or 1.95 × (100/750) shown
A1 26.0 pence cao
Answer: 26.0 pence

Question 3

M1 correct unit price for at least one size shown, e.g. 1.08/1.2 = 0.90 or 1.75/2 = 0.875
A1 Large is better buy with unit price 0.875 compared to 0.90 cao
Answer: Large, price per litre 0.875 vs 0.90 (large is cheaper)

Question 4

M1 find unit price of pack: 3.20/8 = 0.40 shown
M1 compare with 0.45 and find difference 0.05 shown
A1 Pack is cheaper by 5 pence per pen cao
Answer: Pack is cheaper by 0.05 (5p) per pen

Question 5

M1 method for unit price for at least one jar e.g. 1.40/500 = 0.0028 or 1.00/340 = 0.002941...
M1 compare and identify better value jar (500 g is cheaper) shown
A1 price per 100 g for 500 g jar = 0.28 (28p) cao
Answer: 500 g jar is better value; 100 g costs 0.28 (28p)

Question 6

M1 cost of two packs shown: 4.08 + 4.08/2 = 4.08 + 2.04 = 6.12
M1 total bottles 24 identified
M1 method to find unit price 6.12/24 shown
A1 0.255 or 25.5 pence cao
Answer: 0.255 (25.5p)

Question 7

M1 unit price for Offer A shown: 6.00/2 = 3.00
M1 unit price for Offer B shown: 8.25/3 = 2.75
M1 compare and state Offer B is cheaper
A1 Offer B cheaper by 0.25, price per pack 2.75 cao
Answer: Offer B; 2.75 per pack (cheaper by 0.25)

Question 8

M1 calculate cost of 2 x 600 g tins = 2 × 3.60 = 7.20
M1 calculate mass of 2 × 600 g = 1200 g and note covers 1 kg
M1 calculate cost of 3 × 350 g tins = 3 × 2.20 = 6.60
M1 compare totals and identify cheaper option
A1 Three 350 g tins are cheaper; total cost 6.60 cao
Answer: Buy three 350 g tins; total cost 6.60 (cheaper than 7.20)

Question 9

M1 convert litres to ml or convert sizes to common unit and show understanding (1.5 litres = 1500 ml, 3.75 litres = 3750 ml)
M1 find unit prices: 1.20/750 = 0.0016 per ml and 2.35/1500 = 0.001566... per ml or equivalent per litre
M1 use unit prices to note carton B is cheaper per ml and attempt combinations using whole cartons that reach at least 3750 ml
M1 identify that 2 x Carton B (3000 ml) plus 1 x Carton A (750 ml) reaches exactly 3750 ml with no waste
M1 calculate total cost for chosen option: 2 x 2.35 + 1 x 1.20 = 4.70 + 1.20 = 5.90, and compare against other combinations (e.g. 3 x Carton B = 7.05, 5 x Carton A = 6.00) to confirm it is cheapest
A1 state least cost option and total 5.90 cao
Answer: Buy 2 of Carton B and 1 of Carton A: total 5.90 (gives exactly 3.75 L, cheapest combination)

Question 10

M1 identify that 5 boxes of 4 give 20 muffins or consider mixes
M1 calculate cost of 5 boxes = 5 × 2.80 = 14.00
M1 show comparison with any other reasonable option, e.g. 4 boxes + 4 loose = 4×2.80 + 4×0.80 = 11.20 + 3.20 = 14.40
A1 state least cost is 14.00 cao
Answer: Buy 5 boxes of 4; total cost 14.00

Best Buy Questions: Foundation Tier Practice - Worksheets, Questions and Revision