Vitamin tablets are sold in two different size bottles.
Which bottle is better value for money?
16 tablets ☐ 24 tablets ☐
Show how you decide. [2]
(b)
Calcium tablets are sold in small boxes measuring 8 cm by 3 cm by 5 cm.
Diagram not drawn to scale
The supplier packs the small boxes into large boxes measuring 40 cm by 60 cm by 10 cm. There are no gaps in the large box when it is full.
The health food shop orders a full large box containing a total of 3600 calcium tablets.
How many tablets are there in one small box? [4]
Mark scheme (a)
Scheme
Marks
Comments
16 tablets indicated and full justification e.g. ‘Small bottle: 48 tablets costs £6.60, Large bottle: 48 tablets costs £7’ or ‘24 of the smaller bottle would be £3.30’ or ‘Small bottle: 13(· ...)p per tablet, Large bottle: 14(·...)p per tablet’ or The extra 8 tablets costs an extra £1.30. Half a bottle of 16 tablets costs £1.10.
B2
Allow e.g. 13p r 12 and 14p r 14
B1 for a correct decision and a partial justification e.g. ‘Smaller bottle costs £1.10 for 8 tablets.’ or ‘24 of the smaller bottle would be ‘their 3.30.’ or ‘Small bottle: 13(· ...)p per tablet’
or an attempt at full justification with an arithmetic error and their decision follows their working
or full justification and 24 tablets indicated
A statement of ‘8 tablets costs an extra £1.30’ only is B0 even if they indicate the small bottle
Mark scheme (b)
Scheme
Marks
Comments
\(5 \times 2 \times 20\) or \(\dfrac{24000}{120}\) ( = 200)
M2
M1 for \(\dfrac{40}{8} \times \dfrac{10}{5} \times \dfrac{60}{3}\) si or \(\dfrac{40 \times 10 \times 60}{8 \times 5 \times 3}\) si or at least two terms correct in 5 × 2 × 20 oe; si or for 5, 2, 20 found without wrong working
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