Please check the examination details below before entering your candidate information Candidate surname Other names Centre Number Candidate Number Pearson Edexcel Level 3 GCE Thursday 18 May 2023 Afternoon (Time: 2 hours) 8MA0/01 Paper reference Total Marks Mathematics Advanced Subsidiary PAPER 1: Pure Mathematics You must have: Mathematical Formulae and Statistical Tables (Green), calculator Candidates may use any calculator allowed by the regulations of the Joint Council for Qualifications. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them. Instructions • Use black ink or ball-point pen. • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). • Fill in the boxes at the top of this page with your name, centre number and candidate number. • Answer all questions and ensure that your answers to parts of questions are clearly labelled. • Answer the questions in the spaces provided – there may be more space than you need. • You should show sufficient working to make your methods clear. • Answers without working may not gain full credit. • Inexact answers should be given to three significant figures unless otherwise stated. Information • A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. • There are 17 questions in this question paper. The total mark for this paper is 100. • 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. Downloaded by SAMUEL WAM (samek2029@gmail.com) lOMoARcPSD|13778330 *P72839A0244* DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 2  1. A curve has equation (a) Find d d y x writing your answer in simplest form. (2) (b) Hence find the range of values of x for which y is decreasing. 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In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. Using the substitution u x = or otherwise, solve 6 7 x x 20 0 (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 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_____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 2 is 4 marks) Downloaded by SAMUEL WAM (samek2029@gmail.com) lOMoARcPSD|13778330 *P72839A0644* DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 6  3. North C A B Figure 1 Figure 1 is a sketch showing the position of three phone masts, A, B and C. The masts are identical and their bases are assumed to lie in the same horizontal plane. From mast C • mast A is 8.2 km away on a bearing of 072° • mast B is 15.6 km away on a bearing of 039° (a) Find the distance between masts A and B, giving your answer in km to one decimal place. (3) An engineer needs to travel from mast A to mast B. (b) Give a reason why the answer to part (a) is unlikely to be an accurate value for the distance the engineer travels. 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(a) Sketch the curve with equation y k x x 0 where k is a positive constant. (2) (b) Hence or otherwise, solve 16 2 x  (3) Downloaded by SAMUEL WAM (samek2029@gmail.com) lOMoARcPSD|13778330 *P72839A0944* Turn over 9  DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Question 4 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 4 is 5 marks) Downloaded by SAMUEL WAM (samek2029@gmail.com) lOMoARcPSD|13778330 *P72839A01044* DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 10  5. In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. O y 23 x y = 4x + 3 R 2 Figure 2 The finite region R, shown shaded in Figure 2, is bounded by the curve with equation y x 4 3 2 , the y-axis and the line with equation y = 23 Show that the exact area of R is k 5 where k is a rational constant to be found. 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_____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 5 is 5 marks) Downloaded by SAMUEL WAM (samek2029@gmail.com) lOMoARcPSD|13778330 *P72839A01244* DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 12  6. The circle C has equation where k is a constant. (a) Find the coordinates of the centre of C. (2) Given that C does not cut or touch the x-axis, (b) find the range of possible values for k. 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