Pearson Edexcel International GCSE. Mathematics A PAPER 2HR Higher Tier. 100% graded A+

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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 https://britishstudentroom-b430a.web.app/ *P68729A0332* Turn over 3 Answer ALL TWENTY THREE questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 A tin contains tea bags with a choice of four different flavours of tea. The four flavours of tea are Assam or Darjeeling or Nilgiri or Rize. Sara takes at random a tea bag from the tin. The table shows each of the probabilities that the flavour of the tea Sara takes is Assam or Darjeeling or Rize. Flavour of tea Assam Darjeeling Nilgiri Rize Probability 0.38 0.24 0.16 (a) Work out the probability that the flavour of the tea Sara takes is Nilgiri. ....................................................... (2) (b) Work out the probability that the flavour of the tea Sara takes is either Darjeeling or Rize. ....................................................... (2) (Total for Question 1 is 4 marks) https://britishstudentroom-b430a.web.app/4 *P68729A0432*  2 Mary saves for a holiday each year. In 2020 she saved a total of $720 In 2021, each month she saved $78 The total amount Mary saved in 2021 was P% more than the total she saved in 2020 (a) Work out the valuRoberto is going to go on holiday. He has two coupons that will save him money on his holiday. Coupon A 18% off the cost of the accommodation Coupon B 12.5% off the total cost of the accommodation and the flights For Roberto’s holiday the cost of the accommodation is $1600 the cost of the flights is $800 Roberto can only use one of the coupons. He wants to save as much money as he can. (b) Which of the two coupons, A or B, should he use? Show your working clearly. (3e of P [Show More]

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