4400 Higher June 2009 Paper 4 Q13
13 \(ABCD\) and \(PQRS\) are two similar quadrilaterals.
Diagrams NOT accurately drawn
\(AB\) corresponds to \(PQ\).
\(BC\) corresponds to \(QR\).
\(CD\) corresponds to \(RS\).
Find the value of
(a) \(x\), (1)
(b) \(y\), (2)
(c) \(z\). (2)
| Scheme | Marks |
|---|---|
| 60 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(\frac{y}{7.5} = \frac{4}{5}\) oe | M1 |
| 6 | A1 |
| (2) |
Notes
M1: correct ratios or correct use of sf (0.8 or 1.25 or 1.5 or 2/3)
| Scheme | Marks |
|---|---|
| \(\left[\frac{z}{5} = \frac{3}{4}\right]\) oe or \(\left[\frac{z}{7.5} = \frac{3}{\text{“}6\text{”}}\right]\) | M1 |
| 3.75 | A1 |
| (2) | |
| (5 marks) |
Notes
M1: allow ft on their “6” or correct use of sf (0.8 or 1.25 etc)
A1: cao