(a) Solve \(4x+15=9\). [2]

(b) Factorise \(a^2-9\). [1]

(c) Write \(\frac{4a}{5}\div\frac{3ad}{10c}\) as a single fraction in simplest form. [3]

(d) \(5^n+5^n+5^n+5^n+5^n=5^m\). Express m in terms of n. [2]

(e) Solve by factorisation: \(4x^2+8x-5=0\). [3]

(f(i)) y is directly proportional to \((x+3)^3\). When x = 2, y = 13.5. Find x when y = 108. [3]

(f(ii)) g is inversely proportional to \(d^2\). When d is halved, g is multiplied by n. Find n. [2]

(g) Expand and simplify \((2x+3)(x-1)(x+3)\). [3]

(h) Differentiate \(y=3x^2+4x-1\). [2]