Foundation November 2022 Paper 2 Q12
12.
(a) Simplify \(10a \div 2\). [1]
(b) Solve \(4x - 5 = 2\). [2]
(c) Expand \(7(g - 6)\). [1]
(d) Factorise \(6x + 4\). [1]
(e) 
The shape below is a square.

Diagram not drawn to scale
(i) Find an expression for the perimeter of the square.
Simplify your answer. [2]
Simplify your answer. [2]
(ii) Find an expression for the area of the square.
Simplify your answer. [2]
Simplify your answer. [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(5a\) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(4x = 2 + 5\) or \(4x = 7\) | B1 | |
| \(x = 1.75\) or \(7/4\) or \(1\tfrac{3}{4}\) ISW | B1 | FT equation in the form \(4x = a\). Accept \(\frac{a}{4}\) but if on FT it simplifies to an integer the answer must be given as an integer. Allow an embedded answer. Maximum of 1 mark if the answer is not fully correct. |
| Scheme | Marks | Comments |
|---|---|---|
| \(7g - 42\) | B1 | Mark final answer. |
| Scheme | Marks | Comments |
|---|---|---|
| \(2(3x + 2)\) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) \(8x + 8x + 8x + 8x\) or \(8x \times 4\) | M1 | |
| \(= 32x\) | A1 | |
| (ii) \(8x \times 8x\) or \((8x)^2\) | M1 | M0 for \(8x^2\) |
| \(= 64x^2\) | A1 | If no marks in (e)(i) and (e)(ii) award SC2 for answers of \(64x^2\) in (i) AND \(32x\) in (ii). |
| (9) |