4MA0 Foundation January 2012 Paper 1 Q12
12
(a) Simplify
(i) \(b \times 3 \times e\)
(ii) \(p^3 + p^3 + p^3 + p^3\)
(iii) \(6g - 4h + 2g - 3h\)
(4)(b) Solve \(\dfrac{x}{3} = 15\) (1)
(c) Factorise \(5a - 3a^2\) (2)
(d) Expand
(i) \(2(4 - 3w)\)
(ii) \(y^2(y + 10)\)
(3)| Scheme | Marks |
|---|---|
| (i) Answer: \(3be\) | B1 |
| (ii) Answer: \(4p^3\) | B1 |
| (iii) Answer: \(8g - 7h\) | B2 |
| (4) |
Notes
B1: (accept any order but no “x’s”
B2: (B1 for \(8g\) or \(-7h\))
| Scheme | Marks |
|---|---|
| 45 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(a(5 - 3a)\) | B2 |
| (2) |
Notes
B2: B1 for factors which when expanded & simplified give 2 terms for which one is correct.
| Scheme | Marks |
|---|---|
| (i) Answer: \(8 - 6w\) | B1 |
| (ii) Answer: \(y^3 + 10y^2\) | B2 |
| (3) | |
| (Total 10 marks) |
Notes
B2: B1 for \(y^3\) or \(10y^2\)