Foundation June 2018 Paper 2 Q9
9
(a) Elise wants to divide a sum of money between Hannah and Adil in the ratio 2 : 3.
Elise says:
Hannah will get \(\dfrac{2}{3}\) of the money.
Explain why Elise is not correct. [1]
(b) George has a different sum of money.
He divides the money between Siobhan and Iwan.
He divides the money between Siobhan and Iwan.
Iwan receives \(\dfrac{11}{17}\) of the money.
Write the ratio of the money that Siobhan receives to the money that Iwan receives. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Valid explanation | 1 | Such as ‘It should be \(\dfrac{2}{5}\)’ | eg \(\dfrac{2}{3}\) is more than half See AG |
Appendix
Exemplar responses for Q9a
| Response | Mark |
|---|---|
| Because you have to add ratios – 5 and put 2/5 (2/5 is seen and the statement is not contradictory) | 1 |
| Hannah will get 2/5 because there are 5 numbers not 3 | 1 |
| Because the ratio 2:3 is not the same as 2/3 | 1 |
| Adil’s ratio is 3 meaning he will get a larger amount of money than Hannah | 1 |
| There is not 3 parts altogether there is 5 parts (explains the error in the denominator of the fraction) | 1 |
| Because Hannah would get less than Adil | 1BOD |
| She has to add the numbers together and divide by the parts she wants (too vague) | 0 |
| 2:3 = 2 + 3 = 5 (this statement needs some reference to 5 being in the denominator implied) | 0 |
| There is 5 parts altogether (not enough as there is not a link between the 3 and the 5) | 0 |
| because for every 2 Hannah gets Adil gets 3 (not enough to explain the difference between 2:3 and 2/3) | 0 |
| Hannah will only get 2 parts of the money | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 6 : 11 or 1 : \(\dfrac{11}{6}\) or 1 : \(1\frac{5}{6}\) or \(\dfrac{6}{11}\) : 1 | 1 | Condone ratio not in its simplest form, eg using \(\dfrac{6}{17}\) and \(\dfrac{11}{17}\) | |