May 29th, 2015
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1. In a set of three numbers, the first is a positive integer, the second is more than the first and the third is the square of the seconds.(a) The first number in the set is .Write the second and third numbers in terms of . (b) The sum of the three numbers is .(i) Write down an equation in . (ii) Show that your equation simplifies to . (iii) Solve the equation . (iv) Write down the three numbers. 2. The diagram shows two rectangles and . () cm, () cm, () cm and cm.(a) For one value of , the area of rectangle is more than the area of rectangle .(i) Show that .(ii) Factorise .(iii) Solve the equation.(iv) Calculate the size of angle .(a) When the area of triangle is cm.(i) Show that .(ii) Solve the equation .(iii) Write down the length of .(b) When tan , find the value of .(c) When the l

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