Higher November 2024 Paper 5 Q16
16 In the diagram below, the shaded region is a parallelogram.
The parallelogram can be identified by four inequalities.
Two of the inequalities are \(y \geqslant 6\) and \(y \geqslant x\).
Not to scale
(a) Write down the other two inequalities that identify the parallelogram. [3]
(b) Work out the area of the parallelogram.
You must show your working. [4]
You must show your working. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(y \leqslant x + 4\) oe and \(y \lt 9\) | 3 | B2 for \(y \leqslant x + 4\) oe or B1 for \(y \ldots x + 4\) oe but with = or an incorrect inequality symbol B1 for \(y \lt 9\) | Accept inequalities in either order |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 12 nfww | 4 | B2 for (2, 6) and (6, 6) or (5, 9) and (9, 9) identified or for base 4 and perpendicular height 3 both identified or B1 for (2, 6) or (6, 6) or (5, 9) or (9, 9) or for base = 4 or height = 3 | May be seen on diagram |
| AND M1 for their base × their perpendicular height | Must identify base and perpendicular height of parallelogram in working or on diagram Do not allow if slant height used | ||