1MA0 Higher November 2016 Paper 2 Q12

(a) Simplify fully \(\dfrac{n^7 \times n^3}{n^6}\) (2)

(b) Expand and simplify \(x(x - 2) + 2x(x + 3)\) (2)

(d) Factorise fully \(18ab + 27ab^2\) (2)

Answer	Mark	Notes
\(n^4\)	2	M1 for \(\dfrac{n^{10}}{n^6}\) oe or \(\dfrac{n^7}{n^3}\) oe or \(n \times n^3\) oe A1 cao

Answer	Mark	Notes
\(3x^2 + 4x\)	2	B2 for \(3x^2 + 4x\) or \(x(3x + 4)\) (B1 for \(x^2 - 2x\) or \(2x^2 + 6x\) or \(3x^2 + nx\) or \(px^2 + 4x\))

Answer	Mark	Notes
\(5(y - 3)\)	1	B1 cao

Mark scheme (d)

Answer	Mark	Notes
\(9ab(2 + 3b)\)	2	B2 for \(9ab(2 + 3b)\) (B1 for \(9a(2b + 3b^2)\) or \(9b(2a + 3ab)\) or \(ab(18 + 27b)\) or \(3ab(6 + 9b)\) or \(3a(6b + 9b^2)\) or \(3b(6a + 9ab)\) or \(9ab\)(a two term algebraic expression))