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2006-2007 F4 Mathematics Term 2 Paper 1

# 2006-2007 F4 Mathematics Term 2 Paper 1 - Form 4...

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1 Form 4 Mathematics 14 June 2007 Paper I Time allowed: 1 hour 30 minutes 1. Answer ALL questions. 2. All working must be clearly shown. 3. Unless otherwise specified, numerical answers should be either exact or correct to 3 significant figures. 4. The diagrams in this paper are not necessarily drawn to scale. 5. This paper carries a total of 98 marks. 1. Let k be a constant. If the quadratic equation (2 x 1)( x + 1) = k has at least one real root, find the range of values of k . (4 marks) 2. (a) Simplify ( 2 3)(2 2 3 3) . (b) Hence rationalize 2 ( 2 3)(2 2 3 3) 5 . (5 marks) 3. Suppose (-1, 0) is a solution of the following system of simultaneous equations: 0 1 5 4 2 y kx x x y Find the other solution. (5 marks) 4. Given that 3 x 2 + 4 x 2 ( Ax + B )(3 x 2) + C , find the values of A , B and C . (5 marks) 5. When a polynomial f ( x ) is divided by x 2 x 1, the quotient is x + 2 and the remainder is 2 x 1.

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