Edexcel A Level Mathematics Paper 2 Pure Maths EXAM SOLUTIONS 2024

Edexcel A Level Mathematics Paper 2 Pure Maths EXAM SOLUTIONS 2024Pearson Edexcel Level 3 GCE Mathematics Advanced Level Paper 1 or 2: Pure Mathematics Practice Paper A Time: 2 hours Paper Reference(s) 9MA0/01 or 9MA0/02 You must have: Mathematical Formulae and Statistical Tables, calculator Candidates may use any calculator permitted by Pearson regulations. Calculators must not have the facility for algebraic 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). • 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 15 questions in this paper. The total mark 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. A++ WEdexcel A Level Mathematics Paper 2 2022 Pure Maths BEST EXAM SOLUTION • Try to answer every question. • Check your answers if you have time at the end. • If you change your mind about an answer, cross it out and put your new answer and any working underneath. A++ WEdexcel A Level Mathematics Paper 2 2022 Pure Maths BEST EXAM SOLUTION Answer ALL questions. k 1. It is suggested that the sequence k produces only prime numbers. a a a (a) Show that 1, 2 and 4 produce prime numbers. (2 marks) (b) Prove by counter example that the sequence does not always produce a prime number. (2 marks) 2. Find the angle that the vector a =4i - j + 3k makes with the positive y-axis. (3 marks) æ xö 3 g(x) =3sin 3. ∣ è 6 ∣ J 1 - x- 1 10 , –40 < x < 20, x is in radians. x = æ æ 11 ö ö 6∣ 3 arcsin ∣è 3 + 30∣x∣J ∣ (a) Show that the equation g(x) = 0 can be written as ∣ (3 marks) æ æ 1 1 xn+1 =6∣ 3 arcsin∣ ∣ ö ö n∣ ∣ + (b) Using the formula è x2 and x3. è 3 30 J ∣ , 0 =4 , find, to 3 decimal places, the values of x 1, (2 marks) 2 4. The first 3 terms of a geometric sequence are , . Find the value of k. (4 marks) a =2 +1, k … k + 2, 4k, 2k >k 0 x x è A++ WEdexcel A Level Mathematics Paper 2 2022 Pure Maths BEST EXAM SOLUTION f (x) = 5. x 4 + 2x 3 - 29x 2 - 47x + 77 x 2 - 2x - 15 Px2 + Qx+ R + V + W Show that f (x) can be written as x+ 3 x- 5 and find the values of P, Q, R, V and W. (7 mark