Foundation November 2019 Paper 3 Q19
19 S and T are rectangles.
S has dimensions \((x + 2)\) and \(x\).
Some of these rectangles make the larger rectangle shown.
Not drawn accurately
Work out an expression for the perimeter of T.
Give your answer in its simplest form. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(4x + 12\) or \(2(2x + 6)\) or \(4(x + 3)\) | B3 | B2 correct expression for half the perimeter of T eg \(x + 2 + x + 2 + (x + 2 - x)\) \(x + 2 + x + 2 + 2\) \(2(x + 2) + (x + 2 - x)\) \(2(x + 2) + 2\) \(2x + 4 + (x + 2 - x)\) \(2x + 4 + 2\) \(2x + 6\) \(2(x + 3)\) or correct expression for the perimeter of T eg \(x + 2 + x + 2 + x + 2 + x + 2 + 2(x + 2 - x)\) \(x + 2 + x + 2 + x + 2 + x + 2 + 2 + 2\) \(2(x + 2 + x + 2) + 2(x + 2 - x)\) \(2(x + 2 + x + 2) + 2 \times 2\) \(2(2x + 4) + 2(x + 2 - x)\) \(2(2x + 4) + 2 \times 2\) \(4x + 8 + 4\) B1 simplified correct expression for the longer side of T \(2(x + 2)\) or \(2x + 4\) seen or simplified correct expression for the two longer sides of T \(4(x + 2)\) or \(2(2x + 4)\) or \(4x + 8\) seen SC1 \(8x + 12\) |
Additional guidance
| Ignore further work with an incorrect attempt to factorise after \(4x + 12\) eg \(4x + 12\) and \(2(2x + 12)\) | B3 |
| Ignore further work with an incorrect attempt to expand after \(2(2x + 6)\) or \(4(x + 3)\) eg \(2(2x + 6)\) and \(4x + 6\) | B3 |
| Do not ignore further work with an incorrect attempt to simplify after \(4x + 12\) eg \(4x + 12\) and \(16x\) | B2 |
| Ignore further work with an incorrect attempt to simplify after a correct B2 or B1 expression | |
| Do not accept \(2x + 4\) seen as part of \(x^2 + 2x + 2x + 4\) for B1 | B0 |