Foundation June 2022 Paper 1 Q9
9. Tomas sells small boxes of 6 eggs or large boxes of 10 eggs.
He sells \(x\) small boxes.
He sells 8 more of the large boxes than the small boxes.
(a) Write an expression, in terms of \(x\), for the number of large boxes he sells. [1]
(b) Write an expression, in terms of \(x\), for the total number of eggs he sells.
Give your answer in its simplest form. [3]
Give your answer in its simplest form. [3]
| Scheme | Marks | Comments |
|---|---|---|
| \(x+8\) | B1 | mark final answer; |
| Scheme | Marks | Comments |
|---|---|---|
| \(6\times x+10(x+8)\) | M1 | FT ‘their \(x+8\)’, need not be binomial |
| \(6\times x+10\times x+80\) | M1 | FT ‘their \(x+8\)’, providing it is binomial |
| \(16x+80\) | A1 | FT ‘their \(6x+ax+b\)’, for non-zero \(a\), \(b\); ignore attempts to factorise after correct answer seen; If no marks award SC2 for (\(6x+6(x+8)\) →) \(6x+6x+48\) and \(12x+48\) or (\(10x+6(x+8)\) →) \(10x+6x+48\) and \(16x+48\) or (\(10x+10(x+8)\) →) \(10x+10x+80\) and \(20x+80\) or award SC1 for the correct expansion of ‘\(10\times\)their\((x+8)\)’ providing their\((x+8)\) is binomial or for the correct expansion of \(10(x+8)\) or \(6(x+8)\) |
| (4) |