Foundation November 2020 Paper 2 Q9
9 Members of a club are Senior, Adult or Junior.
(a) Here is a report about the members of the club.
| 18% are Senior 54% are Adult 38% are Junior |
Give a reason why there must be a mistake in the report. [1 mark]
(b) An Adult membership fee is £120
A Junior membership fee is \(\dfrac{1}{5}\) of the Adult fee.
Work out the total membership fee for 2 Adults and 3 Juniors. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Valid reason | B1 | eg the percentages do not add to 100(%) or there are 10(%) too many or they add to 110(%) |
Additional guidance
| One of the percentages is 10(%) too big | B1 |
| Allow \(\;18 + 54 + 38 = 110\) | B1 |
| They add up to more than 100(%) | B1 |
| It does not equal 100(%) | B1 |
| It’s not possible to have 110(%) | B1 |
| Condone eg percentages only go up to 100, percentages are out of 100, percentage = 100(%) | B1 |
| They don’t add up correctly | B0 |
| There are too many adults | B0 |
| Seniors must also be adults | B0 |
| Ignore irrelevant statements alongside a correct statement eg the percentages do not add up to 100, there should be more seniors than juniors | B1 |
| Two statements, one correct, one incorrect eg the percentages do not add up to 100, they add up to 111 | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \(2 \times 120\) or 240 | M1 | oe |
| \((3 \times)\ \dfrac{1}{5} \times 120\) or 24 or 72 | M1 | oe |
| 312 | A1 | SC2 528 |
Additional guidance
| \(\dfrac{1}{5}\) of 120 with no correct evaluation | 2nd M0 |
| Do not allow a misread of the fraction | |
| eg \(\dfrac{1}{5} = 2\%\) stated with no method shown and then 2% used | 2nd M0 |
| Allow 3 adults and/or 2 juniors as a misread eg1 \(3 \times 120\) eg2 \(3 \times 120\) and \(2 \times \dfrac{1}{5} \times 120\) | M1 M2A0 |
| \(240 \div 5\) | M1M0A0 |
| \(\dfrac{1}{5} \times 120 = 24\) and \(120 - 24\) (working out \(\dfrac{4}{5}\)) | 2nd M0 (but may score SC2) |
| Using \(\dfrac{4}{5}\) can score SC2 for the ft answer or a max of M1 for 240 seen | |
| Allow up to M2 even if not subsequently used |