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••• Use If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).Fill
in the boxescentre number and candidate number.black ink or ball-point pen. at the top of
this page with your name,
• Answer are clearly labelled.all questions and ensure that your answers to parts of
questions
• Answer the questions in the spaces provided – there may be more space than you need.
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• Inexact answers should be given to three significant figures unless otherwise stated.
Information
••• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.There are 15 questions
in this question paper. The total mark for this paper is 100.The marks for – use this as a guide as to how
much time to spend on each questioneach question are shown in brackets .
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1. In an arithmetic series
• the first term is 16
• the 21st term is 24
(a) Find the common difference of the series.
(2)
(b) Hence find the sum of the first 500 terms of the series.
(2)
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Question 1 continued
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(Total for Question 1 is 4 marks)
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2. The functions f and g are defined by
f (x) = 7 – 2x2 xÎ
3x
g (x) = xÎ x
5x −1 5
(a) State the range of f
4
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