Higher June 2018 Paper 3 Q22
22 \(A\), \(B\) and \(C\) are points on a circle.
\(DCB\) is a straight line.
\(PAQ\) is a tangent to the circle.
Not drawn accurately
Sam is trying to work out the size of angle \(m\).
Here is his working.
| angle \(ACB\) = 56° | angles in the same segment are equal |
| \(m\) = 180° − 56° | angles at a point on a straight line add up to 180° |
| \(m\) = 124° |
Make a criticism of his working. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| Alternate segment or Reason on first line of working is incorrect | B1 | oe Any incorrect statement B0 |
Additional guidance
| Incorrect theorem stated in first line | B1 |
| First line is incorrect. It should say alt segment | B1 |
| Angles not in same segment | B1 |
| Angles in same segment are not equal | B0 |
| Opposite segments (are not equal) | B0 |
| First line is incorrect. It should say opposite segment | B0 |
| The angle between the chord and the tangent is equal to the angle in the opposite segment | B0 |
| Angle \(ACB\) is not in the same segment, it is alternate | B0 |
| Angles are not in the same segment, they are alternate | B0 |