Foundation June 2017 Paper 2 Q21
21
\(ABC\) and \(EDC\) are straight lines.
\(EA\) is parallel to \(DB\).
\(EC = 8.1\) cm.
\(DC = 5.4\) cm.
\(DB = 2.6\) cm.
(a) Work out the length of \(AE\). (2)
\(AC = 6.15\) cm.
(b) Work out the length of \(AB\). (2)
| Answer | Mark | Notes |
|---|---|---|
| 3.9 | M1 | for a ratio of \(\dfrac{8.1}{5.4}\ (= 1.5)\) oe or \(\dfrac{5.4}{8.1}\ (= 0.66..)\) oe or \(\dfrac{2.6}{5.4}\ (= 0.48..)\) oe or \(\dfrac{5.4}{2.6}\ (= 2.07..)\) oe |
| A1 | cao |
| Answer | Mark | Notes |
|---|---|---|
| 2.05 | M1 | for \(\dfrac{5.4}{8.1} \times 6.15\ (= 4.1)\) or \(\dfrac{2.7}{8.1} \times 6.15\) oe or ft “scale factor” from (a) |
| A1 | cao |