Higher November 2023 Paper 4 Q10
10 The diagram shows a pentagon ABCDE.
Not to scale
Find the area of the pentagon.
You must show your working. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 4242 with correct working | 6 | “Correct working” requires evidence of either M2 or M1 M1 | |
| M2 for \(\sqrt{42.5^2 - 20^2}\) or M1 for \([\ldots]^2 + 20^2 = 42.5^2\) or B1 for 20 | M2 implied by 37.5 | ||
| Accept any correct method for the area e.g. M1 for (48 + their 37.5) × 54 or 4617 M1 for \(\frac{1}{2} \times\) their 37.5 × 20 or 375 M1 for their 4617 – their 375 | Alternative for area e.g. : M1 for 48 × 54 implied by 2592 M1 for \(\frac{1}{2} \times (54 + 34) \times\) their 37.5 implied by 1650 M1 for their 2592 + their 1650 OR M1 for 48 × 54 implied by 2592 M1 for 34 × their 37.5 + \(\frac{1}{2} \times\) their 37.5 × 20 implied by 1275 + 375 M1 for their 2592 + their 1275 + their 375 i.e adding all their areas together | ||
| If 0, 1 or 2 marks scored instead award SC3 for answer 4242 with no or insufficient working If 0 or M1 scored instead award SC2 for 37.5 with no or insufficient working | Note : M1 M1 M1 for the area requires a correct method | ||
Appendix: Question 10
