Foundation November 2021 Paper 2 Q20
20 \(ABC\) and \(DEF\) are similar triangles.
Diagram NOT accurately drawn
(a) Work out the length of \(AB\). (2)
Given that \(BC\) = 54 cm,
(b) work out the length of \(EF\). (2)
| Scheme | Marks |
|---|---|
\(\dfrac{45}{20}\) or \(\dfrac{20}{45}\) or \(\dfrac{36}{20}\) or \(\dfrac{20}{36}\) oe 2.25 or 0.44(44…) or 1.8 or 0.55(55…) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 81 | A1 |
| (2) |
Notes
M1: for a correct scale factor, accept ratio notation eg 45 : 20
| Scheme | Marks |
|---|---|
54 ÷ 2.25 or 54 × 0.44(44…) oe or \(36 \times \dfrac{54}{\text{‘}81\text{’}}\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 24 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: can ft if M1 scored in (a)