AQA Level 2 Certificate in Further Mathematics Specimen Assessment Materials 8360. Questions with Marking scheme. Graded A+

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Formulae Sheet r h l 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 Page 63 Turn over  8360/1 Answer all questions in the spaces provided. 1 (a) Solve 7(3x  1) + 2(x + 7) = 3(6x 1) ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ………………………………………………………………………………………………. Answer x = ................................................................. (4 marks) 1 (b) Solve 3x  10 = 4 ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. Answer x = ................................................................. (2 marks) Turn over for the next question Do not write outside the box 6 Page 74 8360/1 2 (a) The nth terms of two sequences are 4n + 13 and 6n  21 Which term has the same value in each sequence? ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. …………….…………………………………………………………………………………. Answer ..................................................................... (3 marks) 2 (b) The first five terms of a quadratic sequence are 4 10 18 28 40 Work out an expression for the nth term. …….…………………………………………………………………………………………. ……….………………………………………………………………………………………. ……….………………………………………………………………………………………. ……….………………………………………………………………………………………. ………….……………………………………………………………………………………. ………….……………………………………………………………………………………. Answer ..................................................................... (5 marks) Do not write outside the box Page 85 Turn over  8360/1 3 (a) On the axes below sketch the graph of y = x2  9 Label clearly any points of intersection with the x-axis. (2 marks) 3 (b) Write down all the integer solutions to x2  9  0 …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. Answer ..................................................................... (2 marks) Turn over for the next question Do not write outside the box 12 y O x Page 96 8360/1 4 A function f(x) is defined as f(x) = 3x 0  x  1 = 3 1 x  3 = 12  3x 3 x 4 Calculate the area enclosed by the graph of y = f(x) and the x-axis. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. Answer ........................................................... units2 (5 marks) Do not write outside the box 4 3 2 1 0 0 1 2 3 4 x y Page 107 Turn over  8360/1 5 The graph shows two lines A and B. The equation of line B is y = 2x + 2 Work out the equation of line A. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. Answer ........................................................................ (4 marks) Do not write outside the box O A x y B O 9 Page 118 8360/1 6 Work out 2 23  1 34 ÷ 1 18 Give your answer as a fraction in its simplest form. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. Answer ........................................................................ (5 marks) 7 (a) Solve 3 2 x = 9 …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. Answer x = ….............................................................. (2 marks) 7 (b) The reciprocal of 2 1 y is 5 Work out the value of y. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. Answer ….…................................................................ (2 marks) Page 129 Turn over  8360/1 8 Make d the subject of c = d 8(c  d) …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. Answer ........................................................................ (4 marks) 9 The sketch shows y = sin x for 0 x 360 The value of sin 73 = 0.956 to 3 significant figures. Use the sketch to find two angles between 0 and 360 for which sin x = 0.956 …….…………………………………………………………………………………………. …….…………………………………………………………………………………………. Answer ................................... and ................................... (2 marks) Do not write outside the box 1 [Show More]

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