Higher November 2017 Paper 1 Q22
22 The two triangles in the diagram are similar.
There are two possible values of \(x\).
Work out each of these values.
State any assumptions you make in your working. (5)
| Answer | Mark | Notes |
|---|---|---|
| 2, 14.5 | P1 | for scale factor of \(\dfrac{12}{3}\) or \(\dfrac{3}{12}\) or \(\dfrac{15}{12}\) or \(\dfrac{12}{15}\) or \(\dfrac{8}{12}\) or \(\dfrac{12}{8}\) or \(\dfrac{15}{8}\) oe or correctly identifies 2 pairs of corresponding sides |
| A1 | for \(x=2\) | |
| P1 | for complete method to find other value for \(x\) eg \(\dfrac{15}{8} \times 12 - 8\) | |
| A1 | for \(x = 14.5\) | |
| C1 | Describes both assumptions for similarity |