Foundation November 2017 Paper 2 Q10
10.
(a) Simplify \(4b + 2a + 3b + 3a - a\) [2]
(b) Expand \(3(x + 5)\) [1]
(c)
Sally has been given this question:
‘Can \(c^2 + 4c\) be simplified?’
She writes,
Yes, because \(c^2 + 4c = 5c^2\).
Is Sally correct? Yes ☐ No ☐
Explain your answer. [1]
(d) Fabian is \(f\) years old.
(i) Fabian’s brother, Ben, is half Fabian’s age.
Write an expression for Ben’s age. ……………… [1]
Write an expression for Ben’s age. ……………… [1]
(ii) Write an expression to give Ben’s age in five years time. [1]
| Scheme | Marks | Comments |
|---|---|---|
| \(4a + 7b\) or equivalent | B2 | B1 for \(4a\) or \(7b\) For B2, an expression must be given. |
| Scheme | Marks | Comments |
|---|---|---|
| \(3x + 15\) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| No AND an acceptable explanation, e.g. ‘if \(c\) = 5 then \(5c^2\) = 125. \(c^2 + 4c\) = 45. (They are not the same)’, or ‘c and \(c^2\) are different and cannot be added’, or 'Can only collect like terms' | E1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) \(\frac{f}{2}\), or \(\frac{1}{2}f\) | B1 | Allow \(f \div 2\) or \(0.5f\) |
| (ii) \(\frac{f}{2} + 5\) or \(\frac{1}{2}f + 5\) or \((f + 10)/2\) | B1 | FT ‘their \(\frac{f}{2}\)’ + 5 provided it is using algebra. |
| (6) |