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C2 Past Paper Booklet - The Grange School Blogs

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1Jan 20082AO0.7 rad11 cmB<strong>The</strong> diagram shows a sector AOB of a circle with centre O and radius 11 cm. <strong>The</strong> angle AOB is0.7 radians. Find the area of the segment shaded in the diagram. [4]2 Use the trapezium rule, with 3 strips each of width 2, to estimate the value of17√x 2 + 3dx. [4]3 Express each of the following as a single logarithm:(i) log a2 + log a3, [1](ii) 2log 10x − 3log 10y. [3]4D20 cm50°A10 cmB16 cm62°CIn the diagram, angle BDC = 50 ◦ and angle BCD = 62 ◦ .ItisgiventhatAB = 10 cm, AD = 20 cm andBC = 16 cm.(i) Find the length of BD. [2](ii) Find angle BAD. [3]5 <strong>The</strong> gradient of a curve is given by dydx = 12√ x. <strong>The</strong> curve passes through the point (4, 50). Findtheequation of the curve. [6]© OCR 2008 4722/01 Jan08

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