Foundation November 2021 Paper 1 Q5
5. The diagram shows an equilateral triangle, \(PQR\), inside a rectangle, \(PSTU\).
\(Q\) is on side \(PS\) of the rectangle.
Diagram not drawn to scale
Calculate the size of each of the angles, \(a\), \(b\) and \(c\). [4]
\(a\) = ………… °, \(b\) = ………… °, \(c\) = ………… °
| Scheme | Marks | Comments |
|---|---|---|
| \(a\) = 30 | B1 | Angles may be marked on diagram |
| \(b\) = 120 | B1 | |
| \(c\) = 360 – 85 – 90 – 120 oe | M1 | FT ‘their \(b\)’ providing their \(b \lt 185\); may be in stages; |
| \(c\) = 65 | A1 | FT 185 – ‘their \(b\)’ providing their \(b \lt 185\); not from clearly wrong working If no marks, award SC1 for at least one of the angles of \(PQR\) marked or implied as 60 with no angle marked as an incorrect value |
| (4) |