Further Maths Revision ANSWERS 1* Simplify by rationalising 2* Rationalise 3 Factorise x² - 64 (x+8)(x-8) 4 Factorise 3x² + 8x - 3 (3x-1)(x+3) 5 Factorise fully x³ - 4x X(x²-4) = x(x+2)(x-2) 6 Make h the subject A = πr²+2πrh h = 7 Make x the subject y = X = 8 Prove that (y+6)(y+3) - y² is a multiple of 9 9y+18 = 9(y+2) When y 9 Simplify x 10 Find a and b such that (x+4)² - 6 a=4 b=-6 x² + 8x + 10 ² + b 11 f(x) = x² + 5x -1 work out -7 i) f(-3) ii)f(3x) iii)f(x-2) 9x²+15x-1 x²+x-7 12 Work out the Range, where Domain is
Further Maths Revision ANSWERS 1* Simplify by rationalising 2* Rationalise 3 Factorise x² - 64 (x+8)(x-8) 4 Factorise 3x² + 8x - 3 (3x-1)(x+3) 5 Factorise fully x³ - 4x X(x²-4) = x(x+2)(x-2) 6 Make h the subject A = πr²+2πrh h = 7 Make x the subject y = X = 8 Prove that (y+6)(y+3) - y² is a multiple of 9 When y 9y+18 = 9(y+2) 9 Simplify x 10 Find a and b such that x² + 8x + 10 ² + b (x+4)² - 6 a=4 b=-6 11 f(x) = x² + 5x -1 work out i) f(-3) ii)f(3x) iii)f(x-2) -7 9x²+15x-1 x²+x-7 12 Work out the Range, where Domain is
gcse-aqa-further-maths-revision-answers.docx