Foundation June 2018 Paper 3 Q27
27 Triangle \(ABC\) and triangle \(DEF\) are similar.

(a) Work out the length of \(DF\). (2)
(b) Work out the length of \(CB\). (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| 9.6 | M1 | for a correct ratio, eg \(\dfrac{12.6}{8.4}\ (= 1.5)\) or \(\dfrac{8.4}{12.6}\) (= 0.66..) or \(\dfrac{6.4}{8.4}\) (= 0.76..) or \(\dfrac{8.4}{6.4}\) (= 1.31) oe |
| A1 | cao |
Additional guidance
Decimal equivalents can be truncated or rounded to 2 dp
Accept equivalent methods to use a sf
eg \(\dfrac{6.4}{2} + 6.4\) (indicative of 1.5)
| Answer | Mark | Mark scheme |
|---|---|---|
| 10 | M1 | for \(15 \div \text{``}1.5\text{''}\) or \(15 \times \text{``}0.66..\text{''}\) or ft their ratio from part (a) oe |
| A1 | cao |
Additional guidance
Award the method mark for any (equivalent) complete method shown.