Direct & Inverse Proportion: Eduqas GCSE Higher November 2017 Paper 1 Q9

Higher November 2017 Paper 1 Q9

EduqasHigherCurrent spec5 marksDirect & Inverse Proportion

(a) In a warehouse, 4 workers can load 5 tonnes of goods into a vehicle in 3 hours.

How long would it take 6 workers to load 10 tonnes of goods into a vehicle?
You may assume that all workers work at the same rate. [3]

(b) State one other assumption you have made in your answer to part (a).
How would your answer to part (a) change if this assumption were not correct? [2]

Mark scheme (a)

Scheme

Marks

Comments

\(3 \times \dfrac{4}{6} \times \dfrac{10}{5}\) or equivalent, seen or implied

May be in steps or as statements e.g.

Workers	Tonnes	Hours
6	5	2
6	10	4

Workers	Tonnes	Hours
6	7.5	3
6	10	4

M1 for one correct step seen or implied
e.g. \(3 \times \dfrac{10}{5}\) or \(3 \times \dfrac{4}{6}\)
or one correct statement e.g.

Workers	Tonnes	Hours
1	1.25	3
6	5	2
6	7.5	3
4	10	6
8	10	3

or equivalent
NB 4 workers 5 tonnes 3 hours is given and does not score on its own

4 (hours)

Mark scheme (b)

Scheme	Marks	Comments
Valid assumption. e.g. ‘The goods are all of the same type.’ or ‘The vehicles used are the same.’ or ‘The goods can all be loaded into one vehicle.’	E1	Allow ‘The workers did not need to take any breaks.’ Do not allow e.g. ‘They can all lift the same weight.’
Valid impact. e.g. ‘If the goods are heavier, they may take longer to load.’ or ‘The load time would be longer if the vehicle could not take all 10 tonnes at once.’	E1	Allow ‘The load time would be longer if they had to take breaks.’
	(5)