Higher June 2017 Paper 3 Q12
12 The points \(A\), \(B\), \(C\) and \(D\) lie in order on a straight line.
\[\begin{aligned} AB : BD &= 1 : 5 \\ AC : CD &= 7 : 11 \end{aligned}\]Work out \(AB : BC : CD\) (3)
| Answer | Mark | Notes |
|---|---|---|
| 3 : 4 : 11 | P1 | Makes a start e.g. by using multipliers e.g. \(1 + 5 = 6\) and \(7 + 11 = 18\) and \(6 \times 3 = 18\) or \(AB : BD = 3 : 15\) or \(x = 3y\) (appropriate \(x\) and \(y\) shown) or \(\dfrac{1}{6} = \dfrac{3}{18}\) |
| P1 | Complete process to find ratios e.g. \((7 + 11) \div (1 + 5) = 3\) and \(1 \times \text{``}3\text{''} : 7 - (\text{``}3\text{''} \times 1) : 11\) | |
| A1 | oe |