CGP
A-Level
Mathematics
Exam Board: Edexcel
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 Practice Exam Paper
A-level Mathematics
Edexcel A-Level
Mathematics
Practice Set 1
Paper 1: Pure Mathematics 1
Time allowed: 2 hours
Centre name Surname
Centre number Other names
Candidate number Candidate signature
In addition to this paper you should have:
• An Edexcel mathematical formula booklet
• A calculator
Instructions to candidates For examiner’s use
• Use black ink or ball-point pen.
• A pencil may be used for diagrams, sketches and graphs. Q Mark Q Mark
• Write your name and other details in the spaces provided above.
1 9
• Answer all questions in the spaces provided.
• Show clearly how you worked out your answers. 2 10
• Round answers to 3 significant figures unless otherwise stated. 3 11
4 12
Information for candidates 5 13
• There are 16 questions in this paper.
6 14
• There are 100 marks available for this paper.
• The marks available are given in brackets at the end of each question. 7 15
• You may get marks for method, even if your answer is incorrect. 8 16
Total
Advice to candidates
• 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
, Leave
Answer ALL the questions. blank
Write your answers in the spaces provided.
1 a) Given that f(x) = x3 – 4x2 – 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-level Edexcel Maths / Set 1 / Paper 1 © CGP 2018 — copying more than
5% of this paper is not permitted
2
, 2 x 3 i in the form ax where a and b are integers to be found.
1 6
3 a) Express b Leave
(2)
blank
b) Hence find the x-coordinates of the points where the line y = 1 – 3x intersects
2 x 3 i + 6x – 18 = y 2 – y.
1 6
the curve with equation (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, nn+ 1 ≥ 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-level Edexcel Maths / Set 1 / Paper 1 © CGP 2018 — copying more than
5% of this paper is not permitted
3
A-Level
Mathematics
Exam Board: Edexcel
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 Practice Exam Paper
A-level Mathematics
Edexcel A-Level
Mathematics
Practice Set 1
Paper 1: Pure Mathematics 1
Time allowed: 2 hours
Centre name Surname
Centre number Other names
Candidate number Candidate signature
In addition to this paper you should have:
• An Edexcel mathematical formula booklet
• A calculator
Instructions to candidates For examiner’s use
• Use black ink or ball-point pen.
• A pencil may be used for diagrams, sketches and graphs. Q Mark Q Mark
• Write your name and other details in the spaces provided above.
1 9
• Answer all questions in the spaces provided.
• Show clearly how you worked out your answers. 2 10
• Round answers to 3 significant figures unless otherwise stated. 3 11
4 12
Information for candidates 5 13
• There are 16 questions in this paper.
6 14
• There are 100 marks available for this paper.
• The marks available are given in brackets at the end of each question. 7 15
• You may get marks for method, even if your answer is incorrect. 8 16
Total
Advice to candidates
• 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
, Leave
Answer ALL the questions. blank
Write your answers in the spaces provided.
1 a) Given that f(x) = x3 – 4x2 – 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-level Edexcel Maths / Set 1 / Paper 1 © CGP 2018 — copying more than
5% of this paper is not permitted
2
, 2 x 3 i in the form ax where a and b are integers to be found.
1 6
3 a) Express b Leave
(2)
blank
b) Hence find the x-coordinates of the points where the line y = 1 – 3x intersects
2 x 3 i + 6x – 18 = y 2 – y.
1 6
the curve with equation (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, nn+ 1 ≥ 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-level Edexcel Maths / Set 1 / Paper 1 © CGP 2018 — copying more than
5% of this paper is not permitted
3
