4MA0 Higher June 2011 Paper 3 Q12
12
Diagram NOT accurately drawn
\(AB\) is parallel to \(DE\).
\(ACE\) and \(BCD\) are straight lines.
\(AB\) = 9 cm.
\(AC\) = 7.2 cm.
\(CD\) = 5.2 cm.
\(DE\) = 6 cm.
(a) Calculate the length of \(BC\). (2)
(b) Calculate the length of \(CE\). (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{BC}{5.2} = \dfrac{9}{6}\) oe | M1 |
| 7.8 | A1 |
| (2) |
Notes
M1: for correct, relevant proportionality statement with 3 values substituted
A1: cao
| Scheme | Marks |
|---|---|
\(\dfrac{CE}{7.2} = \dfrac{6}{9}\) oe or \(\dfrac{CE}{6} = \dfrac{7.2}{9}\) oe or \(\dfrac{CE}{7.2} = \dfrac{5.2}{\text{“}7.8\text{”}}\) oe or \(\dfrac{CE}{5.2} = \dfrac{7.2}{\text{“}7.8\text{”}}\) oe | M1 |
| 4.8 | A1 |
| (2) | |
| (Total 4 marks) |
Notes
M1: for correct, relevant proportionality statement with 3 values substituted
A1: cao