Foundation November 2019 Paper 2 Q15
15. The shape below is made from two rectangles.
All the lengths are in cm.
Diagram not drawn to scale
(a) Write an expression for the perimeter of the shape.
Simplify your expression. [3]
Simplify your expression. [3]
(b)
Use the highest possible number to complete the following sentence. [1]
‘The expression for the perimeter is a multiple of ………… .’
| Scheme | Marks | Comments |
|---|---|---|
| \(8x + 24y + 32\) | B3 | Accept any correct factorised expression B2 for a correct but unsimplified answer, e.g. \(2(4x + 8) + 2(12y + 8)\) or \(\underline{x + 4}\) + \(\underline{12y + 8}\) + \(\underline{4x + 8}\) + \(\underline{3y + 4}\) + \(\underline{3x + 4}\) + \(\underline{9y + 4}\) B2 for a correctly simplified answer with an error in one of the ‘missing’ sides B1 for an unsimplified answer with an error in one of the ‘missing’ sides, or sight of \(3x + 4\) AND \(9y + 4\) Or correctly simplified expression with one ‘missing’ side omitted. |
| Scheme | Marks | Comments |
|---|---|---|
| 8 | B1 | Strictly FT ‘their perimeter’ providing a multiple > 1 exists |
| (4) |