4MA0 Higher January 2016 Paper 4R Q13
13 The diagram shows triangle \(ABC\).
Diagram NOT accurately drawn
\(ADB\) and \(AEC\) are straight lines.
\(DE\) is parallel to \(BC\).
\(DE = 20\) cm, \(BC = 24\) cm, \(AD = 22\) cm, \(AC = 28.2\) cm
(a) Work out the length of \(AB\). (2)
(b) Work out the length of \(EC\). (2)
| Scheme | Marks |
|---|---|
| eg. \(22 \times \dfrac{24}{20}\) or 22 × 1.2 | M1 |
| 26.4 | A1 |
| (2) |
Notes
M1: for complete method or
correct scale factor
(may be seen within an equation)
eg. 20/24 or 24/20 or 1.2 or 0.83…oe
| Scheme | Marks |
|---|---|
| eg. 28.2 − 28.2 ÷ “1.2” or 28.2 ÷ 6 oe | M1ft |
| 4.7 | A1 |
| (2) |
Notes
M1ft: for a complete method
ft from “1.2” used in (a) which must come from a correct method