Foundation June 2023 Paper 1R Q19
19 \(ABCD\) and \(EFGH\) are similar quadrilaterals.
Diagram NOT accurately drawn
(a) Work out the length of \(GH\) (2)
(b) Work out the length of \(BC\) (2)
| Scheme | Marks |
|---|---|
eg \(\dfrac{9.6}{6}\) (= 1.6 oe) or \(\dfrac{6}{9.6}\) (= 0.625 oe) or \(\dfrac{(\text{“}GH\text{”})}{6} = \dfrac{4}{9.6}\) oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 2.5 | A1 |
| (2) |
Notes
M1: for a correct scale factor accept ratio notation
eg 9.6 : 6
(can be seen near the diagram)
A1: oe allow 2,5
| Scheme | Marks |
|---|---|
eg 5.7 × “1.6” or 5.7 ÷ “0.625” or \(5.7 \times \dfrac{4}{\text{“}{2.5}\text{”}}\) or \(5.7 \div \dfrac{\text{“}{2.5}\text{”}}{4}\) or \(\dfrac{(\text{“}BC\text{”})}{9.6} = \dfrac{5.7}{6}\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 9.12 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: ft their scale factor from (a)
A1: oe ft their scale factor from (a)
allow 9,12