Foundation November 2021 Paper 1 Q12
12 A conversion graph between pounds (£) and dollars ($) is shown below.
(a) Explain fully how the graph shows that the number of dollars is directly proportional to the number of pounds. [2]
(b) Use the conversion graph to change £20 into dollars. [1]
(c) Some trainers cost £170 in the UK.
The same trainers cost $195 in the USA.
Show that the trainers cost less in the USA. [4]
The same trainers cost $195 in the USA.
Show that the trainers cost less in the USA. [4]
(d) If the trainers are brought from the USA there is an extra charge for tax and delivery.
Alex wants to pay the lowest total amount for the trainers.
Write down the maximum extra charge for tax and delivery that Alex should be willing to pay.
Give your answer in dollars. [1]
Alex wants to pay the lowest total amount for the trainers.
Write down the maximum extra charge for tax and delivery that Alex should be willing to pay.
Give your answer in dollars. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Straight line oe Passes through origin oe | 1 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 26 | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| $195 \(\lt\) $221 or £150 \(\lt\) £170 With correct working | 4 | Allow exchange rates of 1.25 to 1.35 leading to $212.5[0] to $229.5[0] or £144 to £156 M2 for \(195 \div 1.3\) or \(170 \times 1.3\) A1 for [£]150 or [$]221 or M1 for a correct exchange rate e.g. \(26 \div 20\) OR M2 for building up to $ equivalent of £170 or £ equivalent of $195 e.g. \(17 \times 13\) or \(8.5 \times 26\) or \(15 \times 10\) A1 for [£]150 or [$]221 or M1 for building up to £170 or $195 e.g. \(17 \times 10\) or \(8.5 \times 20\) or \(15 \times 13\) or \(170 \div 10 = 17\) OR M2 for \(195 \div 13\) and \(170 \div 10\) A1 for 15 and 17 or M1 for \(195 \div 13 = 15\) or \(170 \div 10 = 17\) If 0 scored SC1 for $195 \(\lt\) ($212.5[0] to $229.5[0]) or (£144 to £156) \(\lt\) £170 with no or insufficient working, but not wrong working | Comparison in symbols or words required Allow FT their value from (b) Allow correctly rounded values used for M marks e.g. for £7.69 or £8 for $10 used |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 26 or FT their (c) | 1 dep | Dep on A1 or SC1 awarded in part (c) | Accept 25.99 |