Foundation November 2019 Paper 1 Q12
12 Rehan is on holiday in the USA.
He has $200 to spend on clothes.
Rehan buys
1 pair of trainers costing $60
3 T-shirts costing $25 each.
He also wants to buy a jacket costing $80
(a) Has Rehan got enough money to buy the jacket?
You must show how you get your answer. (3)
You must show how you get your answer. (3)
The trainers cost $60
The exchange rate is $1 = £0.749
Rehan says,
“The trainers cost less than £40”
Rehan is wrong.
(b) Using a suitable approximation, show working to explain why. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| No from correct figures | P1 | for first step in process to solve the problem, eg find cost of 3 T-shirts, \(25 \times 3\ (= 75)\) or eg find remaining money after just one purchase, eg \(200 - 60\ (= 140)\) or \(200 - 25\ (= 175)\) |
| P1 | for process to find total cost of trainers and T-shirts, eg \(60 + \text{``}75\text{''}\ (= 135)\) or find total cost including cost of jacket, eg. \(60 + \text{``}75\text{''} + 80\ (= 215)\) or find the change after buying all 4 items, eg. \(200 - 60 - 3 \times 25\ (= 65)\) oe | |
| C1 | for No from correct figures Acceptable examples No, needs 215 No, only has 65 left No, needs 15 more Not acceptable examples Yes .... |
Additional guidance
Award this mark for addition of 2 or more items or for subtraction of one item or more from 200 eg \(200 - 50\ (= 150)\) etc.
Figures can be given without units ($)
| Answer | Mark | Mark scheme |
|---|---|---|
| Explanation | P1 | for a start to a method, eg. approximating 0.749 to 0.7, 0.74, 0.75 or 0.8 |
| C1 | for explanation Acceptable examples \(0.7 \times 60 = 42\) [is an underestimate] \(0.74 \times 60 = 44.4(0)\) [is an underestimate] Not acceptable examples \(0.75 \times 60 = 45\) [is an overestimate] \(0.8 \times 60 = 48\) [is an overestimate] |
Additional guidance
For full marks, any calculations must be correct.
No statement in words is needed.