1MA0 Higher June 2012 Paper 2 Q14
14
(a) Expand and simplify \((p + 9)(p - 4)\) (2)
(b) Solve \(\dfrac{5w - 8}{3} = 4w + 2\) (3)
(c) Factorise \(x^2 - 49\) (1)
(d) Simplify \(\left(9x^8y^3\right)^{\frac{1}{2}}\) (2)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(p^2 - 4p + 9p - 36\) | \(p^2 + 5p - 36\) | 2 | M1 for all 4 terms correct (condone incorrect signs) or 3 out of 4 terms correct with correct signs A1 cao |
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(5w - 8 = 3(4w + 2)\) \(5w - 8 = 12w + 6\) \(-8 - 6 = 12w - 5w\) \(-14 = 7w\) | \(-2\) | 3 | M1 for attempting to multiply both sides by 3 as a first step (this can be implied by equations of the form \(5w - 8 = 12w + ?\) or \(5w - 8 = ?w + 6\) i.e. the LHS must be correct M1 for isolating terms in \(w\) and the number terms correctly from \(aw + b = cw + d\) A1 cao OR M1 for \(\dfrac{5w}{3} - \dfrac{8}{3} = 4w + 2\) M1 for isolating terms in \(w\) and the number terms correctly A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| \((x + 7)(x - 7)\) | 1 | B1 cao |
| Answer | Mark | Notes |
|---|---|---|
| \(3x^4y^{\frac{3}{2}}\) | 2 | B2 for \(3x^4y^{\frac{3}{2}}\) or \(3x^4y^{1.5}\) or \(3x^4y^{1\frac{1}{2}}\) (B1 for any two terms correct in a product eg. \(3x^4y^n\)) |