(a) Gelert weighs 22 lb (pounds). Tili weighs 14·5 kg.
Including an appropriate calculation, explain fully how you know that Tili is heavier than Gelert. [2]
(b) Both dogs eat a particular brand of dog food. The graph below shows the amount of food that dogs of different sizes should eat each day.
Gelert is a medium-sized dog. Tili is a large dog.
(i) Using the graph, how much food in total should Gelert and Tili eat each day? [2]
(ii) Mair buys an 18 kg bag of the dog food. How many days will the 18 kg bag of food last? [3]
The 18 kg bag of food will last for …………………… days
Mark scheme (a)
Scheme
Marks
Comments
Full explanation including appropriate calculation referring to kg ↔ lb conversion e.g. “(Tili is heavier because) 22lb is (about) 10kg” “(Tili is heavier because) 14.5kg is (about) 31.9lb” “14.5 kg is more than 29lbs because a kg is more than 2 lbs”. “since 1 kilogram is more than 2 pounds, then 22lbs is less than 11kg”
E2
Allow E1 for partial explanation e.g. “…(because 1kg is about) 2·2 lb” “……(because 1lb is about) 0.4(5….) kg” “…..because 1 kilogram is more than 2 pounds” “22lb is about 11kg” Allow E1 for sight of 22 ÷ 2·2 or 14·5 × 2·2 but not calculated Do not accept “kg is heavier than lb” “….because 1kg is more than 1lb”
Mark scheme (b)
Scheme
Marks
Comments
(i) 600(g)
B2
Accept 0.6(00) kg B1 for sight of 250(g) AND 350(g) Mark final answer
(ii) For sight of 18 000 (g) OR 0·6(00) kg
B1
FT from (b)(i) for possible B1M1A1 FT ‘their 600’ ÷ 1000
18 000 ÷ 600 OR 18 ÷ 0·6 or equivalent
M1
FT ‘their 18 000’ ÷ ‘their 600’ or 18 ÷ ‘their 0·6’ Allow M1A0 18 ÷ 600 Award M1 for evidence of working with multiples of 600 with a target of reaching 18 000 e.g. 600, 1200, 1800….
30 (days)
A1
Answer must be correct on FT from (b)(i) and from correct workings
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