Higher November 2024 Paper 1 Q6
6 Here is a pentagon.
Angle \(a\) = angle \(c\)
Angle \(b = 155^\circ\)
Angle \(d\) is three times the size of angle \(c\)
Angle \(e\) is two times the size of angle \(c\)
Work out the size of angle \(a\) (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 55 | P1 | for process to find the sum of the interior angles of a pentagon, eg \(180 \times (5 - 2)\ (= 540)\) oe |
| P1 | for the start to a process of giving each angle in a common form, eg \(d = 3c\) or \(e = 2c\) or \(x\), \(3x\), \(2x\) | |
| P1 | for process to find the value of \(c\), eg \(([540] - 155) \div 7\) oe or for a correct equation in one variable, eg \(c + 155 + c + 3c + 2c = [540]\) oe | |
| A1 | cao |
Additional guidance
Can be implied by the shape correctly divided into triangle and quadrilateral or three triangles with correct angle sums marked
Can be implied by division by 7
or 1, 1, 3, 2 given in a ratio eg 1 : 2 : 1 : 3
Where [540] is what they believe to be the angle sum of the pentagon