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2022 pearson june booklet + mark scheme Edexcel International GCSE 4PM1/01R Further Pure Mathematics PAPER 1R

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Answer all ELEVEN questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 An arithmetic series has 5th term 16 and 100th term 301 Find the sum o ... f the first 50 terms of the series. (5) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. (Total for Question 1 is 5 marks)4 *P71641A0436*  2 A particle P is moving along a straight line, which passes through the fixed point O. At time t seconds (t  0), the velocity, vm/s, of P is given by v = t2 – 3t + 4 At time t seconds the acceleration of P is am/s2 (a) Find an expression for a in terms of t (2) The displacement of P from O is 7m when t = 2 (b) Find the exact displacement of P from O when t = 4 (5) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................... 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