Forming Equations: WJEC GCSE Higher June 2019 Unit 1 Q9

Higher June 2019 Unit 1 Q9

9. Arthur, Sian and Kezia are all given some £1 coins.

Arthur receives £\(n\).
Sian is given five times as much money as Arthur.
Kezia receives three times as much money as Arthur, plus an extra £7.

Sian was given less money than Kezia.

(a) Write down an inequality in terms of \(n\) that illustrates the fact that Sian received less money than Kezia. [2]

(b) What was the greatest amount of money that Arthur could have been given? [2]

Mark scheme (a)

Scheme	Marks	Comments
5n < 3n + 7 or equivalent ISW	B2	2n < 7 OR n < 7/2 implies B2. Ignore use of a different letter e.g. 5x < 3x + 7. Use of ‘≤’ is B1. B1 for sight of 3n + 7 in an inequality.

Mark scheme (b)

Scheme	Marks	Comments
2n < 7 OR n < 7/2	B1	FT ‘their inequality’ if of equivalent difficulty. May be seen in part (a).
(Greatest amount =) (£)3	B1	FT ‘their n < k’. B0 if they have ‘n>k’. B0 if it leads to n<1. An answer of (£)3 gains B1B1 (unless from incorrect algebra work).