4MA0 Higher January 2016 Paper 4 Q20
20

Diagram NOT accurately drawn
\(A\), \(B\), \(C\) and \(D\) are points on a circle.
\(PAB\) and \(PDC\) are straight lines.
\(PA\) = 10 cm, \(PD\) = 8 cm and \(DC\) = 7 cm.
Calculate the length of \(AB\).
(3)
| Scheme | Marks |
|---|---|
| \(BP \times 10 = 15 \times 8\) or \((10 + AB) \times 10 = 15 \times 8\) oe | M1 |
| (\(BP\) =) (15 × 8) ÷ 10 (= 12) oe or \(10AB = 120 - 100\) oe or \(10 + AB\) = (15 × 8) ÷ 10 oe | M1 |
| 2 | A1 |
| (3) |
Notes
M1: for a correct equation
M1: a correct calculation for \(BP\) or a correct simplified equation for \(AB\)