Higher November 2020 Paper 6 Q13
13 In the diagram, AED and ABC are straight lines and BE is parallel to CD.
Not to scale
The ratio of length AB to length BC is 2 : 3.
Triangle ABE has an area of 8 cm2.
Work out the area of triangle ACD. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 50 | 4 | B1 for 2.5 oe soi M2 for 8 × (5 ÷ 2)2 oe or M1 for (5 ÷ 2)2 soi by 6.25 oe Alternative method: B1 for [AB : AC =] 2 : 5 oe soi M2 for (8 ÷ 22) × 52 oe or M1 for [area ratio] 22 : 52 oe soi Alternative method: B1 for 2.5 oe soi M1 for numerical \(\frac{b \times h}{2} = 8\) where \(b \times h = 16\) M1 for \(\frac{2.5\ \textit{their}\ b \times 2.5\ \textit{their}\ h}{2}\) If evidence of using 2 : 3 seen: B0 for [AB : AC =] 2 : 3 or 1.5 oe soi M2 for (8 ÷ 22) × 32 oe or M1 for [area ratio] 22 : 32 or 1.52 oe soi If no working: SC1 for final answer 18 | Final answer 20 implies B1 (from use of linear scale factor) 6.25 scores B1M1 22 : 52 scores May be seen in stages |