Mathematics > QUESTION PAPER (QP) > Further Mathematics Level 2 Practice Paper Set 3 Paper 1 Non-Calculator. Practice questions For AQA (All)

Further Mathematics Level 2 Practice Paper Set 3 Paper 1 Non-Calculator. Practice questions For AQA level Exams. Rated A+

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Formulae Sheet A B C b a c Volume of sphere = 43 r3 Surface area of sphere = 4r2 Volume of cone = 13 r2 h Curved surface area of cone = r l In any triangle ABC Area of triangle = 12 ab sin C Sine rule sin A a = sinB b = sinC c Cosine rule a2 = b2 + c2 – 2bc cos A cos A = bc b c a 2 2 2 2   The Quadratic Equation The solutions of ax2 + bx + c = 0, where a  0, are given by x = a b b ac 2 _  ( 2 _ 4 ) Trigonometric Identities tan   θθ cos sin sin2  + cos2   1 r r h l3 Turn over  8360/1 Answer all questions in the spaces provided. 1 Work out the exact value of w. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. w = …............................................................. (4 marks) 2 5(3x  2)  3(x  h)  4(kx + 2) Work out the values of h and k. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. h = ............................., k = ............................. (4 marks) Do not write outside the box 8 Not drawn accurately w 12 234 8360/1 3 Solve 5 y  2 + 4 2y  1 = 3 ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. y = ..…............................................................ (4 marks) 4 O is the centre of this circle. Work out the value of x. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. x = ................................................... degrees (3 marks) Do not write outside the box Not drawn accurately O 2 x x + 425 Turn over  8360/1 5 Simplify fully 20a9b6 ÷ 4a3b2 ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. Answer ...….................................................................. (2 marks) 6 The matrix        aa 2bb maps the point (5, 4) onto the point (1, 17). Work out the values of a and b. a = ............................, b = ............................ (5 marks) Do not write outside the box 146 8360/1 7 f(x) is a quadratic function with domain all real values of x. Part of the graph of y = f(x) is shown. -3 -2 -1 O 1 2 3 4 5 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 5 4 3 2 1 Do not write outside the box y x7 Turn over  8360/1 7 (a) Write down the range of f(x). Answer ............................................................................. (1 mark) 7 (b) Use the graph to find solutions of the equation f(x) = 1 Give your solutions to one decimal place. Answer ........................................................................... (2 marks) 7 (c) Use the graph to solve f(x)  0

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