Cornell’s supermarket sells 1-litre cartons of orange juice at £1.80.
Cornell’s supermarket has an offer of ‘buy 2 get 1 free’.
Larkman’s supermarket sells 2-litre bottles of orange juice at £2.20.
Janice needs to buy 6 litres of orange juice.
How much money would Janice save by buying the orange juice at Larkman’s supermarket? [4]
(b) The diagram shows a sketch of the top part of a 1-litre carton. There is a circular hole cut out for the plastic lid.
Diagram not drawn to scale
What is the radius of the circular hole? Give your answer in mm. [3]
Mark scheme (a)
Scheme
Marks
Comments
Cornell’s: (4 × £1.80 = ) (£)7.20 or 720 (p)
B2
If units are given they must be correct Award B1 for sight of 4 or 4 implied eg 4 lots of £1.80 added Or sight of × 2 × 2
Larkman’s: (3 × £2.20 = ) (£)6.60 or 660(p)
B1
(Difference =) 60(p) or (£)0.60
B1
If units given they must be correct. Do not accept 0.60p or £60. Allow £0.60p FT 'their £7.20' – 'their £6.60' correctly evaluated provided at least B1 awarded and Cornell’s greater than Larkman’s
Alternative
Alternative mark scheme working with 1 litre
Scheme
Marks
(2/3 of (£)1.80 =) (£)1.20
B1
(£)1.10
B1
60(p)
B2
(Award B1 if 10(p) given as the difference between 1 litre)
The alternative is printed in italics in the original.
Mark scheme (b)
Scheme
Marks
Comments
(Radius) 15 (mm)
B3
Award B2 for
answer of 1.5 (cm)
answer of 30 (mm) or 3 (cm)
or sight of full method (70 – (20 + 20)) ÷ 2 or (7 – (2 + 2)) ÷ 2
Award B1 for 7cm =70mm or 20mm=2cm stated or implied e.g. sight of 35mm or 4cm OR Award B1 for full method but using inconsistent units eg (700 – (20 + 20)) ÷ 2
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