Higher June 2023 Paper 1 Q10
10 Here is a pentagon.
Angle \(AED = 4 \times\) angle \(ABC\)
Work out the size of angle \(AED\).
You must show all your working. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 140 | P1 | for process to find sum of the interior angles of a pentagon eg \(180 \times (5 - 2)\ (= 540)\) oe |
| P1 | (dep P1) for process to use ratio 4 : 1, eg labels as \(4x\) and \(x\) or as \(x\) and \(\dfrac{1}{4}x\) or \(110 + 135 + 120 + 4x + x = \text{``}540\text{''}\) or for \(\text{``}540\text{''} - 110 - 135 - 120\ (= 175)\) | |
| P1 | for process to find angle \(ABC\) or angle \(AED\) eg \(\text{``}175\text{''} \div (4 + 1)\ (= 35)\) or \(\text{``}175\text{''} \div (4 + 1) \times 4\) | |
| A1 | cao |
Additional guidance
Angles must be clearly labelled on the diagram or otherwise identified. Correct method can be implied from angles on the diagram if no ambiguity or contradiction.
Ratio must be used correctly if awarded for diagram
A correct answer with no supportive working gets 0 marks