Higher November 2020 Paper 5 Q20
20 ABCD is a trapezium.
Not to scale
The perimeter of the trapezium is 56 cm.
The ratio AD : AB : DC : BC = 5 : 12 : 6 : 5.
Calculate the area of the trapezium.
Show your working. [7]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 144 with correct working | 7 | B2 for [AD = ] 10, [AB = ] 24, [DC = ] 12 and [BC =] 10 or M1 for 56 ÷ (5 + 12 + 6 + 5) oe AND M2 for \(h^2 + 6^2 = 10^2\) or ref to 3, 4, 5 or 6, 8, 10 triangle or B1FT for deducing perpendicular from D to AB is 6 cm from A (or B) A1 for height = 8 AND M1 for \(\frac{8}{2}(12 + 24)\) or better If 0 scored SC2 for answer 144 with no working or SC1 for height = 8 with no working | “Correct working” requires evidence of at least B2 AND M2 AND M1 Could be written on diagram For M2 FT their BC and ½ (AB – DC) used condone \(h^2 + 3^2 = 5^2\) (using ratio values) FT ½ (their AB – their DC) FT their AB, CD and \(h\) provided \(h\) is not their AD or 5 |