Higher November 2024 Paper 2 Q6
6 The cost of a first class stamp increased from 76p to 85p.
The cost of a second class stamp increased from 65p to 66p.
Filip says,
“The percentage increase in the cost of a first class stamp is more than 7 times the percentage increase in the cost of a second class stamp.”
Is Filip correct?
You must show all your working. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| Yes (supported) | P1 | for start to a process to find a percentage increase, eg \(85 - 76\ (= 9)\) or \(66 - 65\ (= 1)\) or \(\dfrac{85}{76}\ (= 1.118\ldots)\) or \(\dfrac{66}{65}\ (= 1.015\ldots)\) |
| P1 | for process to find a % increase, eg \(\dfrac{\text{``}9\text{''}}{76} \times 100\ (= 11.84\ldots)\) or \(\dfrac{\text{``}1\text{''}}{65} \times 100\ (= 1.53\ldots)\) or \(\dfrac{85}{76} \times 100 - 100\ (= 11.(84\ldots))\) oe or \(\dfrac{66}{65} \times 100 - 100\ (= 1.53\ldots)\) oe | |
| P1 | for processes to find both % increases, eg \(\dfrac{\text{``}9\text{''}}{76} \times 100\ (= 11.84\ldots)\) and \(\dfrac{\text{``}1\text{''}}{65} \times 100\ (= 1.53\ldots)\) or \(\dfrac{85}{76} \times 100 - 100\ (= 11.84\ldots)\) oe and \(\dfrac{66}{65} \times 100 - 100\ (= 1.53\ldots)\) oe | |
| C1 | for Yes supported by correct figures, eg \(11(.842\ldots) \div 1.5(38\ldots) = 7.3\) to 8 or \(11(.842\ldots)\) and \(1.5(38\ldots) \times 7 = 10(.766\ldots)\) or \(11(.842\ldots) \div 7 = 1.57\) to 1.7 and \(1.5(3\ldots)\) or \(0.11(842\ldots)\) and \(0.10(766\ldots)\) |
Additional guidance
Accept use of rounded and truncated figures for all marks
May work in decimals or equivalent proportions throughout