Higher November 2021 Paper 1 Q14
14 Here is a shape with all its measurements in centimetres.
The area of the shape is \(A\) cm2
Show that \(A = 2x^2 + 24x + 46\) (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Shown | M1 | for a start to the method, eg finds one correct area \(4(x + 1)\) or \((x + 7)(2x + 6)\) or \((x + 1)(x + 11)\) or \((x + 7)(x + 5)\) or \(4(x + 5)\) or \((x + 11)(2x + 6)\) |
| M1 | for a complete expression for the total area, eg \(4(x + 1) + (x + 7)(2x + 6)\) or \(4x + 4 + 2x^2 + 14x + 6x + 42\) OR \((x + 1)(x + 11) + (x + 7)(x + 5)\) or \(x^2 + x + 11x + 11 + x^2 + 7x + 5x + 35\) OR \((x + 11)(2x + 6) - 4(x + 5)\) or \(2x^2 + 22x + 6x + 66 - 4x - 20\) | |
| A1 | for a complete chain of reasoning with fully correct algebra leading to \(2x^2 + 24x + 46\) |
Additional guidance
\(2x^2 + 24x + 46\) is given so need to see brackets expanded correctly