Mathematics > AQA Question Papers > Further Mathematics Level 2 Practice Paper Set 3 Paper 2 Calculator. AQA practice question paper. Pr (All)
Formulae Sheet A B C b a c Volume of sphere = 43 r3 Surface area of sphere = 4r2 Volume of cone = 13 r2 h Curved surface area of cone = r l In any triangle ABC Area of triang... le = 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 8360/2 Answer all questions in the spaces provided. 1 Match each graph with the correct equation. You will not use all of the equations. One has been done for you. (4 marks) Do not write outside the box 4 Circle, centre (0, 0), radius 2 Straight line, passing through (0, 0) Straight line, gradient – 2 Straight line, passing through (2, 6) Curve that has positive y values for all x values x 2 + y2 = 4 x 2 + y2 = 2 y = 1 2x y = 3x 2 y = 2x y = x 2 + 1 y = 12 3x y = x 2 14 8360/2 2 h is 60% of m. 2 (a) Write an equation connecting h and m. Answer .......................................................................... (1 mark) 2 (b) Also, r is 75% of m. Work out h as a percentage of r. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. Answer .................................................................... % (2 marks) 3 A curve has gradient function yx dd = 2x2 7 3 (a) Work out the gradient of the curve when x = 3 ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. Answer ........................................................................ (2 marks) 3 (b) Work out the values of x for which the rate of change of y with respect to x is 1. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. Answer ........................................................................ (3 marks) Do not write outside the box5 Turn over 8360/2 4 The straight line shows a sketch of y = f(x) for the full domain of the function. 4 (a) State the domain of the function. Answer .......................................................................... (1 mark) 4 (b) Work out the equation of the line. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….………………………………… [Show More]
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