Higher June 2023 Paper 1R Q3
3 \(ABCD\) 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