Higher November 2022 Paper 2 Q1
1. Nathan and Lucy make and sell wooden items for gardens.
(a) Nathan makes and sells benches, tables and tool sheds.
Last year, the profit he made from selling these items was in the following ratio.
Last year, the profit he made from selling these items was in the following ratio.
benches : tables : tool sheds
2 : 3 : 7
(i) What fraction of his profit did Nathan make from selling benches and tables? [1]
(ii) His total profit was £18 072.
How much profit did Nathan make from the sale of tool sheds? [2]
How much profit did Nathan make from the sale of tool sheds? [2]
(b) Lucy makes and sells planters.
Each planter costs Lucy £32 to make.
Each one that she sells makes a profit of £80.
What is Lucy’s profit from the sale of one planter as a percentage of the cost to make the planter? [2]
Each planter costs Lucy £32 to make.
Each one that she sells makes a profit of £80.
What is Lucy’s profit from the sale of one planter as a percentage of the cost to make the planter? [2]
| Scheme | Marks | Comments |
|---|---|---|
| (a)(i) \(\dfrac{5}{12}\) | B1 | ISW |
| (a)(ii) \(\dfrac{18072}{12}\times 7\) | M1 | FT ‘their 2 + 3 + 7’ from (a)(i) provided > 10 |
| (£)10542 | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{80}{32}\ (\times 100)\) or 2.5 (× 100) | M1 | |
| 250(%) | A1 | Mark final answer If no marks, award SC1 for an answer of 150(%) (using a profit of £48) |
| (5) |