Pearson Edexcel Merged Question Paper + Mark Scheme (Results) Summer 2022 Pearson Edexcel GCSE In Mathematics (1MA1) Higher (Calculator) Paper 2H *P66303A0120*

Pearson Edexcel Merged Question Paper + Mark Scheme (Results) Summer 2022 Pearson Edexcel GCSE In Mathematics (1MA1) Higher (Calculator) Paper 2H *P66303A0120* Turn over Candidate surname Other names Total Marks Centre Number Candidate Number Please check the examination details below before entering your candidate information Time Paper reference P66303A ©2021 Pearson Education Ltd. 1/1/1/1/ Instructions • Use black ink or ball-point pen. • Fill in the boxes at the top of this page with your name, centre number and candidate number. • Answer all questions. • Answer the questions in the spaces provided – there may be more space than you need. • You must show all your working. • Diagrams are NOT accurately drawn, unless otherwise indicated. • Calculators may be used. • If your calculator does not have a π button, take the value of π to be 3.142 unless the question instructs otherwise. Information • The total mark for this paper is 80 • The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Advice • Read each question carefully before you start to answer it. • Try to answer every question. • Check your answers if you have time at the end. • Good luck with your examination. You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator, Formulae Sheet (enclosed). Tracing paper may be used. Mathematics PAPER 2 (Calculator) Higher Tier 1 hour 30 minutes 1MA1/2H Pearson Edexcel Level 1/Level 2 GCSE (9–1) *P66303A0220* 2 Answer ALL questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 (a) Simplify (x3 )5 ...................................................... (1) (b) Expand and simplify 4(x + 3) + 7(4 − 2x) .................................................................................. (2) (c) Factorise fully 15x3 + 3x2 y .................................................................................. (2) (Total for Question 1 is 5 marks) *P66303A0320* Turn over 3 2 −5 −4 −3 −2 −1 1 2 3 4 5 −5 −4 −3 −2 −1 1 2 3 4 5 O x y T S Describe fully the single transformation that maps shape S onto shape T. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. (Total for Question 2 is 2 marks) 3 The length of a football pitch is 90 metres, correct to the nearest metre. Complete the error interval for the length of the football pitch. ............................ m  length ............................ m (Total for Question 3 is 2 marks) *P66303A0420* 4 4 Festival A will be in a rectangular field with an area of 80000m2 The greatest number of people allowed to attend Festival A is 425 Festival B will be in a rectangular field 700m by 2000m. The greatest number of people allowed to attend Festival B is 6750 The area per person allowed for Festival B is greater than the area per person allowed for Festival A. (a) How much greater? Give your answer correct to the nearest whole number. ...................................................... m2 (4) Callum says, “300 cm2 is the same as 3m2 because there are 100cm in 1m so you divide by 100” Callum’s method is wrong. (b) Explain why. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. (1) (Total for Question 4 is 5 marks) *P66303A0520* Turn over 5 5 The points L, M and N are such that LMN is a straight line. The coordinates of L are (−3, 1) The coordinates of M are (4, 9) Given that LM : MN = 2 : 3, find the coordinates of N. (.............. , ..............) (Total for Question 5 is 4 marks) 6 A new phone cost £679 The value of the phone decreases at a rate of 4% per year. Work out the value of the phone at the end of 3 years. £...................................................... (Total for Question 6 is 3 marks) *P66303A0620* 6 7 In Spain, Sam pays 27 euros for 18 litres of petrol. In Wales, Leo pays £40.80 for 8 gallons of the same type of petrol. 1 euro = £0.85 4.5 litres = 1 gallon Sam thinks that petrol is cheaper in Spain than in Wales. Is Sam correct? You must show how you get your answer. (Total for Question 7 is 4 marks) *P66303A0720* Turn over 7 8 Use your calculator to work out 1 57 60 7 2 3 4 1 2 . tan . + ° Give your answer correct to 3 significant figures. ...................................................... (Total for Question 8 is 2 marks) 9 A box in the shape of a cuboid is placed on a horizontal floor. The box exerts a force of 180 newtons on the floor. The box exerts a pressure of 187.5 newtons/m2 on the floor. pressure force area = The face in contact with the floor is a rectangle of length 1.2 metres and width x metres. Work out the value of x. x = ...................................................... (Total for Question 9 is 3 marks) *P66303A0820* 8 10 The box plot shows information about the sales, in thousands of pounds (£000s), of an online store each month. Online store 500 Sales (£000s) Andrew says, “Three quarters of the given data lies between and 350 000 because these are the values of the lower quartile and the upper quartile.” Andrew is wrong. (a) Explain why. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. (1) The table shows information about the sales, in £000s, in a shop each month. Sales (£000s) least value 30 lower quartile 80 median 170 upper quartile 260 greatest value 350 (b) On the grid below, draw a box plot for this information. Shop 500 Sales (£000s) (2) *P66303A0920* Turn over 9 (c) Compare the distribution of the sales of the online store with the distribution of the sales in the shop. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. (2) (Total for Question 10 is 5 marks) 11 Kieron has 13 workers he can use for a job. He knows that 6 workers would take 14 1 2 days to complete this job. Show that Kieron has enough workers to finish this job in less than 7 days. (Total for Question 11 is 3 marks) *P66303A01020* 10 12 The equation of the line L1 is y = 2x + 3 The equation of the line L2 is 5y − 10x + 4 = 0 Show that these two lines are parallel. (Total for Question 12 is 2 marks) 13 −8 −6 −4 −2 2 4 6 8 10 12 14 −10 −8 −6 −4 −2 2 4 6 8 10 O x y Enlarge the shaded shape by scale factor −2 with centre of enlargement (0, 0) (Total for Question 13 is 2 marks) *P66303A01120* Turn over 11 14 Saffron wants to work out an estimate for the total number of fish in a lake. On Friday, Saffron catches 180 fish from the lake. She puts a tag on each of these fish and puts them back into the lake. On Saturday, Saffron catches 305 fish from the same lake. She finds that 45 of the 305 fish are tagged. Work out an estimate for the total number of fish in the lake. ...................................................... (Total for Question 14 is 3 marks) *P66303A01220* 12 15 The ratio of Marta’s hourly pay to Khalid’s hourly pay is 6 : 5 Both Marta and Khalid get an increase of £1.50 in their hourly pay. The ratio of Marta’s hourly pay to Khalid’s hourly pay after this increase is 13 : 11 Work out the hourly pay before the increase for Marta and for Khalid. Marta £...................................................... Khalid £...................................................... (Total for Question 15 is 4 marks) *P66303A01320* Turn over 13 16 A shop manager wants to advertise special offers on social media platforms. The manager asks 100 customers which of type A, type B or type C they use. Of these customers, 4 use all three types 16 do not use any of type A, type B or type C 8 use both type A and type B, but not type C 14 use both type B and type C 62 in total use type A all 20 who use type C also use at least one of type A and type B. (a) Complete the Venn diagram fo