A Level Edexcel Pure Maths Paper 1 & Paper 2 Marking Schemes 2023/2024.

A Level Edexcel Pure Maths Paper 1 & Paper 2 Marking Schemes 2023/2024. A-Level Mathematics Exam Board: Edexcel Marking Schemes 2023/2024 Practice Exam Papers Pack contents: Two full sets of A-Level practice papers Answer book with mark scheme Formula booklet (120 pages in all) CGP Centre name Centre number Candidate number Surname Other names Candidate signature In addition to this paper you should have: • An Edexcel mathematical formula booklet • A calculator Practice Exam Paper A-level Mathematics Edexcel A-Level Mathematics Practice Set 1 Paper 1: Pure Mathematics 1 Time allowed: 2 hours Instructions to candidates • Use black ink or ball-point pen. • A pencil may be used for diagrams, sketches and graphs. • Write your name and other details in the spaces provided above. • Answer all questions in the spaces provided. • Show clearly how you worked out your answers. • Round answers to 3 significant figures unless otherwise stated. Information for candidates • There are 16 questions in this paper. • There are 100 marks available for this paper. • The marks available are given in brackets at the end of each question. • You may get marks for method, even if your answer is incorrect. Advice to candidates CGP For examiner’s use Q Mark Q Mark 1 9 2 10 3 11 4 12 5 13 6 14 7 15 8 16 Total • Work steadily through the paper and try to answer every question. • Don’t spend too long on one question. • If you have time at the end, go back and check your answers. Exam Set MEP71 © CGP 2018 — copying more than 5% of this paper is not permitted A-lev el Edexcel Maths / Set 1 / Paper 1 © CGP 2018 — copy ing more than 5% of this paper is not permitted 2 Answer ALL the questions. Write your answers in the spaces provided. Leave blank 1 a) Given that f(x) = x 3 – 4x 2 – 3x + 7, find f '(x). (2) b) Hence find the values of x for which f(x) is a decreasing function, giving your answer in the form {x : x > a} {x : x < b} where a and b are real numbers to be found. (3) 2 A helicopter flies between 3 locations, A, B and C, which are positioned such that AB = 9 km, AC = 5 km and angle ABC = 24°. Find the possible values of angle ACB to 1 decimal place. (3) A-lev el Edexcel Maths / Set 1 / Paper 1 © CGP 2018 — copy ing more than 5% of this paper is not permitted 3 i n + 1 1 6 2 3 a) Express 1 6 2 x 3 in the form ax b where a and b are integers to be found. (2) Leave blank b) Hence find the x-coordinates of the points where the line y = 1 – 3x intersects the curve with equation 2 x 3 i + 6x – 18 = y – y. (4) 4 For each of the following, prove that the statement is false. a) The exterior angles of a regular n-sided polygon are always acute. (1) b) For n ℝ, n ≠ –1, n ≥ 0. (1) c) For n < 50, if n is an odd prime then one or both of n + 2 and n + 4 are prime. (1) A-lev el Edexcel Maths / Set 1 / Paper 1 © CGP 2018 — copy ing more than 5% of this paper is not permitted 4 5 The elastic energy stored in a large industrial spring, E, in joules, is directly proportional to the square of how far it is extended, x, in metres. When the spring is extended by ( 2 – 1) m, it has (7 2 – 9) joules of elastic energy. Find the exact amount of elastic energy in the spring when it is extended by 2 m, giving your answer in joules in the form a + b 2, where a and b are integers. (5)