Higher November 2021 Paper 2 Q11
11

Diagram NOT accurately drawn
\(B\), \(D\), \(E\) and \(F\) are points on a circle, centre \(O\).
\(ABC\) is a tangent to the circle.
\(ODC\) is a straight line.
\(BOE\) is a diameter of the circle.
Angle \(BCD = 48°\)
Find the size of angle \(DFE\).
(3)
| Scheme | Marks |
|---|---|
| \(BOC(BOD) = 180 - 48 - 90\ (= 42)\) oe or \(EOC = 180 - (90 - 48)\) or \(90 + 48\ (= 138)\) oe | M1 |
\(\dfrac{180 - \text{‘}{42}\text{’}}{2}\) oe or ‘138’ ÷ 2 oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 69 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for method to find angle BOC or EOC (may be shown in the correct place on the diagram)
M1: a fully correct method to find angle DFE