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GCSE · Ratio, Proportion and Rates of Change

3.12 Best Buy Questions

EDEXCEL 1MA1 · Calculator allowed · about 80 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Mr Patel is buying tins of baked beans. Tin A contains 400 g and costs 60p. Tin B contains 600 g and costs 81p.

(Total for Question 1 is 3 marks)

Freya is choosing between two bottles of orange squash. Bottle A holds 1 litre and costs 1.20 pounds. Bottle B holds 1.5 litres and costs 1.65 pounds.

(Total for Question 2 is 3 marks)

Priya is comparing two bags of rice. Bag A weighs 2 kg and costs 3.00 pounds. Bag B weighs 5 kg and costs 7.00 pounds. Show working to find the price per kg of each bag, then circle the bag which is better value.

A) Bag A
B) Bag B
C) They are the same value
D) Not possible to tell

(Total for Question 3 is 2 marks)

A supermarket sells the same cereal in three box sizes. Small box: 300 g for 1.35 pounds. Medium box: 500 g for 2.10 pounds. Large box: 750 g for 3.00 pounds.

(a)Work out the price per 100 g of the small box.(1)

(b)Work out the price per 100 g of the medium box and the large box.(2)

(c)State, with a reason, which box size is the best value for money, ft from (a) and (b).(1)

(Total for Question 4 is 4 marks)

Kwame wants to buy some chocolate bars. A single bar (45 g) costs 55p. A multipack of 6 bars (45 g each) costs 2.70 pounds.

(Total for Question 5 is 3 marks)

A school office is ordering pens. A pack of 10 pens costs 3.50 pounds. A pack of 25 pens costs 8.00 pounds.

(Total for Question 6 is 3 marks)

Aisha is comparing two tubs of ice cream. Medium tub: 900 ml for 3.60 pounds. Large tub: 1.5 litres for 5.40 pounds. Show that the large tub is better value for money.

(Total for Question 7 is 3 marks)

Mrs Okafor is comparing two bags of flour. Bag A: 750 g for 1.05 pounds. Bag B: 1.2 kg for 1.56 pounds.

(Total for Question 8 is 3 marks)

A shop sells washing powder in two box sizes. Box A: 40 washes for 6.00 pounds. Box B: 65 washes for 9.10 pounds.

(Total for Question 9 is 3 marks)

Leon is choosing dog food for his dog. Pack A: 3 kg for 6.60 pounds. Pack B: 5 kg for 10.50 pounds.

(Total for Question 10 is 3 marks)

Yasmin usually pays 60p for a pot of yogurt. Shop 1 has an offer: buy 3 pots and only pay for 2. Shop 2 sells the same yogurt in a multipack of 4 pots for 1.80 pounds.

(Total for Question 11 is 4 marks)

A stationery shop sells notebooks. Pack A: 4 notebooks for 5.00 pounds. Pack B: 6 notebooks for 6.90 pounds.

(Total for Question 12 is 3 marks)

Declan is deciding how to pay for his bus travel for one day. A day ticket costs 4.50 pounds and allows unlimited journeys. A single ticket costs 1.20 pounds and Declan plans to make 4 journeys that day.

(Total for Question 13 is 3 marks)

A DIY store sells the same paint in two tin sizes. Tin A: 2.5 litres for 18.75 pounds. Tin B: 5 litres for 35.00 pounds.

(Total for Question 14 is 3 marks)

Sofia is comparing two jars of jam. Jar A: 300 g for 1.80 pounds. Jar B: 500 g for 2.75 pounds. Show working to find the price per 100 g of each jar, then circle the jar which is better value.

A) Jar A
B) Jar B
C) They are the same value
D) Not possible to tell

(Total for Question 15 is 2 marks)

Two garages sell the same petrol, one in Leeds and one in Bradford. The Leeds garage charges 1.42 pounds per litre. The Bradford garage charges 70.00 pounds for 50 litres.

(Total for Question 16 is 3 marks)

Chloe is comparing two shops selling the same jacket. Shop A: normal price 50 pounds, with 15% off. Shop B: normal price 45 pounds, with a 4 pound voucher taken off.

(Total for Question 17 is 4 marks)

A recipe uses dried pasta. Bag A: 500 g for 1.20 pounds, making 4 portions. Bag B: 750 g for 1.65 pounds, making 6 portions.

(a)Work out the price per 100 g of each bag.(2)

(b)Work out the cost per portion of each bag.(2)

(c)State, with a reason, which bag is the better value, ft from (a) and (b).(1)

(Total for Question 18 is 5 marks)

Aaliyah needs at least 2 kg of sugar for a school bake sale. A shop sells sugar in bags of 750 g for 90p each, and bags of 1 kg for 1.10 pounds each. She can only buy whole bags.

(Total for Question 19 is 4 marks)

Two shops sell the same tins of soup, each priced at 79p. Mr Ahmed's shop has an offer: buy 2 tins and get 1 tin free. Mrs Wilson's shop sells the tins in a multipack of 3 for 1.90 pounds.

(Total for Question 20 is 4 marks)

Mark scheme · 3.12 Best Buy Questions

Question 1

M1 60 / 4 oe (price per 100 g for tin A)
M1 81 / 6 oe (price per 100 g for tin B)
A1 15p and 13.5p, with tin B stated as better value cao
Answer: Tin B is better value (13.5p per 100 g compared with 15p per 100 g)

Question 2

M1 120 / 10 oe (price per 100 ml for bottle A)
M1 165 / 15 oe (price per 100 ml for bottle B)
A1 12p and 11p, with bottle B stated as better value cao
Answer: Bottle B is better value (11p per 100 ml compared with 12p per 100 ml)

Question 3

M1 3.00 / 2 and 7.00 / 5 both attempted, oe
A1 B circled, with 1.50 and 1.40 shown cao
Answer: B (Bag B, at 1.40 pounds per kg compared with 1.50 pounds per kg for Bag A)

Question 4

(a) B1 45p (per 100 g) cao
(a) Answer: 45p per 100 g
(b) M1 210 / 5 oe (medium) or 300 / 7.5 oe (large)
(b) A1 42p and 40p both correct cao
(b) Answer: Medium: 42p per 100 g. Large: 40p per 100 g
(c) B1ft large box, since it has the lowest price per 100 g, ft
(c) Answer: The large box, since 40p per 100 g is the lowest of the three prices

Question 5

M1 270 / 6 oe
A1 45p cao
C1 correct conclusion comparing 45p with 55p, e.g. multipack is better value
Answer: The multipack is better value (45p per bar compared with 55p for a single bar)

Question 6

M1 350 / 10 oe and 800 / 25 oe both attempted
A1 35p and 32p both correct cao
C1 correct conclusion that the pack of 25 is better value
Answer: The pack of 25 pens is better value (32p per pen compared with 35p per pen)

Question 7

M1 3.60 / 0.9 oe (price per litre for medium tub)
M1 5.40 / 1.5 oe (price per litre for large tub)
C1 cso, 4.00 pounds and 3.60 pounds shown, with correct conclusion since 3.60 < 4.00
Answer: Large tub is better value: 3.60 pounds per litre compared with 4.00 pounds per litre for the medium tub

Question 8

M1 1.2 kg converted to 1200 g oe
M1 105 / 7.5 oe and 156 / 12 oe (price per 100 g for each bag)
A1 14p and 13p both correct, with bag B stated as better value cao
Answer: Bag B is better value (13p per 100 g compared with 14p per 100 g)

Question 9

M1 600 / 40 oe and 910 / 65 oe both attempted
A1 15p and 14p both correct cao
C1 correct conclusion that box B is better value
Answer: Box B is better value (14p per wash compared with 15p per wash)

Question 10

M1 6.60 / 3 oe and 10.50 / 5 oe both attempted
A1 2.20 pounds and 2.10 pounds both correct cao
C1 correct conclusion that pack B is better value
Answer: Pack B is better value (2.10 pounds per kg compared with 2.20 pounds per kg)

Question 11

M1 2 x 60 (= 120) oe (cost of 3 pots under the Shop 1 offer)
M1 120 / 3 oe and 180 / 4 oe (price per pot for each shop)
A1 40p and 45p both correct cao
C1 correct conclusion that Shop 1's offer is better value
Answer: Shop 1's offer is better value (40p per pot compared with 45p per pot at Shop 2)

Question 12

M1 500 / 4 oe and 690 / 6 oe both attempted
A1 125p and 115p both correct cao
C1 correct conclusion that pack B is better value
Answer: Pack B is better value (115p per notebook compared with 125p per notebook)

Question 13

M1 4 x 1.20 oe
A1 4.80 cao
C1 correct conclusion that the day ticket is cheaper, with correct saving stated
Answer: The day ticket is cheaper, saving 30p (4.50 pounds compared with 4.80 pounds for 4 single tickets)

Question 14

M1 18.75 / 2.5 oe and 35.00 / 5 oe both attempted
A1 7.50 pounds and 7.00 pounds both correct cao
C1 correct conclusion that tin B is better value
Answer: Tin B is better value (7.00 pounds per litre compared with 7.50 pounds per litre)

Question 15

M1 180 / 3 and 275 / 5 both attempted, oe
A1 B circled, with 60p and 55p shown cao
Answer: B (Jar B, at 55p per 100 g compared with 60p per 100 g for Jar A)

Question 16

M1 70.00 / 50 oe
A1 1.40 cao
C1 correct conclusion that the Bradford garage is cheaper per litre
Answer: The Bradford garage is cheaper (1.40 pounds per litre compared with 1.42 pounds per litre in Leeds)

Question 17

M1 50 x 0.15 (= 7.50) oe, or 50 x 0.85
A1 42.50 cao (Shop A final price)
M1 45 - 4 oe (Shop B final price)
C1 41 stated for Shop B, with correct conclusion that Shop B is cheaper
Answer: Shop B is better value (41.00 pounds compared with 42.50 pounds at Shop A)

Question 18

(a) M1 120 / 5 oe and 165 / 7.5 oe both attempted
(a) A1 24p and 22p both correct cao
(a) Answer: Bag A: 24p per 100 g. Bag B: 22p per 100 g
(b) M1 120 / 4 oe and 165 / 6 oe both attempted
(b) A1 30p and 27.5p both correct cao
(b) Answer: Bag A: 30p per portion. Bag B: 27.5p per portion
(c) B1ft Bag B, since it is cheaper both per 100 g and per portion, ft
(c) Answer: Bag B, since it is cheaper per 100 g (22p vs 24p) and cheaper per portion (27.5p vs 30p)

Question 19

P1 at least two valid combinations of whole bags totalling at least 2 kg identified, e.g. 3 x 750 g and 2 x 1 kg
M1 3 x 90 (= 2.70) oe and 2 x 1.10 (= 2.20) oe
A1 2.70 pounds and 2.20 pounds both correct cao
C1 correct conclusion that 2 x 1 kg bags for 2.20 pounds is the cheapest way to buy at least 2 kg
Answer: Buy 2 bags of 1 kg sugar for 2.20 pounds (this gives exactly 2 kg for the least cost)

Question 20

M1 2 x 79 (= 158) oe (cost of 3 tins under Mr Ahmed's offer)
M1 158 / 3 oe and 190 / 3 oe (price per tin for each shop)
A1 awrt 53p and awrt 63p both correct
C1 correct conclusion that Mr Ahmed's offer is better value
Answer: Mr Ahmed's offer is better value (awrt 53p per tin compared with awrt 63p per tin at Mrs Wilson's shop)

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