Level 2 Certificate FURTHER MATHEMATICS Paper 1 Non-Calculator. Question Paper. RATED A+

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Answer all questions in the spaces provided. box 1 Work out the distance between the points A (–3, 7) and B (5, 1) [2 marks] Answer units 2 y = x(2x4 – 7x3) Work out an expression for the rat... e of change of y with respect to x. [3 marks] Answer3 *03* Turn over ► IB/M/Jun21/8365/1 Do not write outside the box 3 Here are four sketch graphs. Circle the letter of the sketch graph that represents 3x + 2y = 5 [1 mark] 64 *04* IB/M/Jun21/8365/1 Do not write outside the box 4 (a) The function f is given by f(x) = 3x – 5 The range is 13 < f(x) < 19 Work out the domain of the function. [1 mark] Answer 4 (b) The function g is given by g(x) = x2 – 4 with domain –1 < x < 3 Work out the range of the function. [2 marks] Answer 4 (c) The function h is given by h(x) = 3 + x 2 Work out h–1(x) [2 marks] h–1(x) =5 *05* Turn over ► IB/M/Jun21/8365/1 Do not write outside the box 5 The nth term of a sequence is + + nn 2 47 1 5 (a) A term of the sequence has a value of 5 Work out the value of n. [2 marks] Answer 5 (b) Write down the limiting value of the sequence as n → ∞ [1 mark] Answer 86 *06* IB/M/Jun21/8365/1 Do not write outside the box 6 Here is a sketch of y = sin x for 0° ⩽ x ⩽ 360° You are given that sin 220° = –k Work out the two values of x for 0° ⩽ x ⩽ 360° for which y = [Show More]

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