Foundation November 2018 Paper 1 Q28
28 The sum of the angles in any quadrilateral is \(360^\circ\)
For example, in a rectangle \(\;4 \times 90^\circ = 360^\circ\)
Zak writes,
\(5 \times 90^\circ = 450^\circ\) \(\;\) so the sum of the angles in any pentagon must be \(450^\circ\)
Is he correct?
Tick a box.
- Yes
- No
Show working to support your answer. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \((5 - 2) \times 180\) or \(3 \times 180\) or 540 or \(180 - (360 \div 5)\) or \((180 - 72)\) or 108 | M1 | oe |
| Ticks ‘No’ and 540 or Ticks ‘No’ and 108 | A1 | |
| Alternative method 2 | ||
| States that a pentagon cannot have five (or all) right angles or states that a pentagon can have five (or all) obtuse angles or states that the maximum number of right angles is three or draws a pentagon with exactly three right angles shown | M1 | |
| Ticks ‘No’ and states that a pentagon cannot have five (or all) right angles or states that the maximum number of right angles is three or states that a pentagon can have five (or all) obtuse angles and draws a correct diagram of an attempted pentagon with four right angles shown or draws a pentagon with exactly three right angles shown or draws a pentagon with five obtuse angles | A1 | |
Additional guidance
If comparing \(72^\circ\) to \(90^\circ\), they must state that they are referring to the exterior angles
If ‘Yes’ is ticked, M1 can still be scored
If neither box is ticked, ‘No’ must be implied by the explanation for M1A1