Higher November 2024 Paper 4 Q11
11 Triangles ABC and PQR are mathematically similar.
Angle ACB = Angle PRQ.
Angle ABC = Angle PQR.
Not to scale
The perimeter of triangle PQR is 99 cm.
Find the length of PQ. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 24 | 4 | M2 for \(\frac{45}{12} \times 8\) or \(\frac{8}{12} \times 45\) oe or 30 or M1 for \(\frac{45}{12}\) or \(\frac{12}{45}\) or \(\frac{12}{8}\) or \(\frac{8}{12}\) oe and M1 for 99 – 45 – their RQ or 24 correctly placed on diagram | Equivalent factors include 3.75, \(3\frac{3}{4}\), \(\frac{4}{15}\), 0.266… , 0.267, 1.5, \(1\frac{1}{2}\), \(\frac{2}{3}\), 0.666…, 0.667 Alt.: M2 for \(99 \div \frac{45}{12}\) (3.75) oe or 26.4 or M1 for \(\frac{45}{12}\) or \(\frac{12}{45}\) oe and M1 for \((26.4 - 8 - 12) \times \frac{45}{12}\) (3.75) oe |