Higher November 2023 Paper 5 Q9
9 A box contains only red, green and black pens.
The ratio of red pens to green pens to black pens is 1 : 4 : 11.
(a) Work out the percentage of the pens that are green. [2]
(b) There are 24 more green pens than red pens.
Work out the total number of pens in the box. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 25[%] | 2 | M1 for \(\frac{4}{1 + 4 + 11}\) [× 100] oe | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 128 | 4 | M1 for 24 ÷ (4 – 1) oe | Implied by 8 [red] |
| and M2 for 8 × (1 + 4 + 11) oe or 8, 32 and 88 or M1 for their 8 × (1 + 4 + 11) oe or their 8, 4 × their 8 and 11 × their 8 evaluated | their 8 must be an integer and if 6 or 24 implied by 96 or 384 | ||