Mathematics > GCSE QUESTION PAPER > Pearson Edexcel International GCSE, Mathematics A Paper 1H Higher Tier. Graded A+ (All)
International GCSE Mathematics Formulae sheet – Higher Tier Arithmetic series Sum to n terms, S n = n2 [2a + (n – 1)d] Area of trapezium = 1 2 (a + b)h b a h The quadratic equation ... The solutions of ax2 + bx + c = 0 where a ¹ 0 are given by: x b b ac a = − ± 2 − 4 2 Trigonometry A B C b a c In any triangle ABC Sine Rule a A b B c sin sin sinC = = Cosine Rule a2 = b2 + c2 – 2bccos A Area of triangle = 1 2 ab sin C Volume of cone = 1 3 πr 2h Curved surface area of cone = πrl r l h Volume of prism = area of cross section × length cross section length Volume of cylinder = πr2h Curved surface area of cylinder = 2πrh r h Volume of sphere = 4 3 πr 3 Surface area of sphere = 4πr2 r*P66297A0328* Turn over 3 Answer ALL TWENTY FOUR questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 Pieter owns a currency conversion shop. Last Monday, Pieter changed a total of 20160 rand into a number of different currencies. He changed 3 10 of the 20 160 rand into euros. He changed the rest of the rands into dollars, rupees and francs in the ratios 9:5:2 Pieter changed more rands into dollars than he changed into francs. Work out how many more. ...................................................... rand (Total for Question 1 is 4 marks)4 *P66297A0428* 2 The table gives information about the speeds, in kilometres per hour, of 80 motorbikes as each pass under a bridge. Speed (s kilometres per hour) Frequency 40 < s 50 10 50 < s 60 16 60 < s 70 19 70 < s 80 23 80 < s 90 12 (a) Write down the modal class. ...................................................... (1) (b) Work out an estimate for the mean speed of the motorbikes as they pass under the bridge. Give your answer correct to 3 significant figures. [Show More]
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