Foundation November 2022 Paper 2 Q25
25 The diagram shows a right-angled triangle and a rectangle.
Not to scale
The triangle and rectangle have the same area.
Calculate the length, \(d\) cm, of the diagonal of the rectangle.
You must show your working.
\(d =\) .................... cm [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 10 with correct working | 6 | M1 for \(\dfrac{24 \times 4}{2}\) M1 for height of rectangle = their \(\dfrac{24 \times 4}{2} \div 8\) A1 for [height of rectangle =] 6 AND M2 for \(\sqrt{8^2 + (\textit{their } 6^2)}\) or better or M1 for [\(d^2 =\) ] \(8^2 + (\textit{their } 6)^2\) If 0, 1 or 2 scored, instead award SC3 for answer 10 with no or insufficient working If 0 or 1 instead award SC2 for [height of rectangle =] 6 with no or insufficient working If 0 scored, instead award SC1 for [area of triangle =] 48 with no or insufficient working | “Correct working” requires evidence of at least M1A1 AND M1 M1 Allow embedded e.g. \(8 \times 6 = 48\) Could be shown on the diagram their 6 must be clearly identified as the height of the rectangle, e.g. written on the diagram. Eg SC3 Insufficient working includes statement that 6, 8, 10 is a Pythagorean triple |