Foundation November 2018 Paper 2 Q13
13 A charity sends an appeal letter to 3000 people.
The letter asks for a donation of money.
Here is some information about the last appeal letter the charity sent out.
| \(\dfrac{1}{2}\) of the people who were sent the letter made a donation. |
| The average donation was £8.60 |
| \(\dfrac{1}{3}\) of the people who made a donation filled in a tax form. The government adds 25% to the donations of these people. |
(a) Using this information,
work out the amount the charity can expect to receive from this appeal. [6 marks]
(b) The average donation from the people who filled in a tax form was more than £8.60
How does this affect your answer to part (a)?
Tick one box.
- It should be lower
- It should be higher
- It should stay the same
Give a reason. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(3000 \div 2\) or 1500 | M1 | oe |
| their \(1500 \times 8.6(0)\) or 12 900 | M1dep | oe |
| their \(1500 \div 3\) or 500 | M1dep | oe condone \(1500 \times 0.3(\ldots)\) oe dep on 1st mark |
| their \(500 \times 8.6(0) \times 0.25\) or 1075 | M1dep | oe |
| their 12 900 + their 1075 | M1dep | dep on 2nd and 4th mark |
| 13 975 | A1 | accept 14 000 with working |
| Alternative method 2 | ||
| \(3000 \div 2\) or 1500 | M1 | oe |
| their \(1500 \div 3\) or 500 | M1dep | oe condone \(1500 \times 0.3(\ldots)\) oe |
| (their 1500 – their 500) \(\times 8.6(0)\) or 8600 | M1dep | oe |
| their \(500 \times 8.6(0) \times 1.25\) or 5375 | M1dep | oe dep on 2nd mark |
| their 8600 + their 5375 | M1dep | dep on 3rd and 4th mark |
| 13 975 | A1 | accept 14 000 with working |
| Alternative method 3 | ||
| \(3000 \div 2\) or 1500 | M1 | oe |
| their \(1500 \times 8.6(0)\) or 12 900 | M1dep | oe |
| their \(12\,900 \div 3\) or 12 900 and 4300 | M1dep | oe condone \(12\,900 \times 0.3(\ldots)\) oe |
| their \(4300 \times 0.25\) or 1075 | M1dep | oe |
| their 12 900 + their 1075 | M1dep | |
| 13 975 | A1 | accept 14 000 with working |
Additional guidance
| Dependent marks are dep on previous mark unless otherwise stated | |
| Use the scheme that awards the most marks and ignore choice | |
| Build-up attempts for 25% must show full working or correct values | |
| 1075 and 12 900 or 5375 and 8600 (unless added) | M4 |
| 1075 without 12 900 implies 1st, 3rd and 4th marks in Alt 1 | M3 |
| 5375 without 8600 implies 1st, 2nd and 4th marks in Alt 2 | M3 |
| 8600 implies 1st, 2nd and 3rd marks in Alt 2 | M3 |
| 12 900 implies 1st and 2nd marks in Alt 1 and Alt 3 | M2 |
| 500 implies 1st and 3rd marks in Alt 1 and 1st and 2nd marks in Alt 2 | M2 |
| £13975p £13975.00p | M5A0 M5A1 |
| Answer | Mark | Comments |
|---|---|---|
| Ticks ‘It should be higher’ with correct reason | B1 | eg the 25% will be on a higher amount the government will pay more |
Additional guidance
| Must tick the correct box or, if the boxes are all blank, state that it will be higher | |
| Must refer to the 25% being on a larger amount or the increase in the government’s contribution | |
| 25% of more is more | B1 |
| The 25% will be more (condone) | B1 |
| The £2.15 will be more | B1 |
| Government would have paid more tax (condone) | B1 |
| Do not accept any suggestion that the overall average has increased or a repeat of the information that the people with a tax form paid more | |
| The people who filled in a tax form paid more | B0 |