Foundation June 2022 Paper 3 Q22
22 A sports club has 250 members.
Some of the members wish to change a club rule.
To change a club rule, at least 70% of all the members must vote ‘yes’.
At a meeting of the sports club, 10 members were absent and did not vote.
The other members voted yes : no : don’t know in the ratio \(11 : 3 : 1\).
Did enough members vote ‘yes’ to change the rule?
Show how you decide. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Yes, with full supporting evidence | 5 | B2 for 175 or M1 for \(250 \times 0.7\) oe AND M2 for \(\dfrac{250 - 10}{11 + 3 + 1} \times 11\) soi 176 or M1 for \(\dfrac{250 - 10}{11 + 3 + 1}\) soi 16 | “Full supporting evidence” requires B2M2 or M2M2 Non-Calculator methods e.g. \(250 \div 10 = [\;]\), \([\;] \times 7 = 175\) M1 Allow \(\dfrac{240}{15}\) for \(\dfrac{250 - 10}{11 + 3 + 1}\) |
| Alternative Method | |||
| M2 for \(\dfrac{250 - 10}{11 + 3 + 1} \times 11\) soi 176 or M1 for \(\dfrac{250 - 10}{11 + 3 + 1}\) soi 16 AND M2 for \(\dfrac{\textit{their } 176}{250} \times 100\) soi 70.4 or 0.7 and 0.704 seen or M1 for \(\dfrac{\textit{their } 176}{250}\) soi 0.704 | If using 250 for 240, their 176 will be 183[…] | ||