Higher June 2023 Paper 2R Q18
18
Diagram NOT accurately drawn
\(A\), \(B\), \(C\) and \(D\) are points on a circle.
\(ABP\) and \(DCP\) are straight lines.
\(AB = 16\) cm \(\qquad BP = 14\) cm \(\qquad CP = 12\) cm
Work out the length of \(DC\)
(3)
| Scheme | Marks |
|---|---|
\(DP\) × 12 = 30 × 14 or \(DP\) × 12 = 420 or (\(DC\) + 12) × 12 = 30 × 14 or (\(DC\) + 12) × 12 = 420 or 12\(DC\) + 144 = 420 or \(DC\) + 12 = 35 or \((DP) = \dfrac{30 \times 14}{12}\;(= 35)\) | M1 |
“35” – 12 or 23 + 12 = 35 or \((DC =)\;\dfrac{\text{``}420\text{''} - \text{``}144\text{''}}{12}\) or \((DC =)\;\dfrac{\text{``}276\text{''}}{12}\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 23 | A1 |
| (3) | |
| (3 marks) |