Candidate surname Other names
Centre Number Candidate Number
■ ■
Mathematics
Advanced
PAPER 1: Pure Mathematics 1
Marks
Candidates may use any calculator allowed by Pearson regulations. 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).
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.
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 15 questions in this question paper. The total mark for this paper is 100. – 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.
• Check your answers if you have time at the end. Turn over
,1. g(x) = 3x3 20x2 k 17
x k
where k is a constant.
Given that (x – 3) is a factor of g(x), find the value of k. (3)
2
■■■■
,Question 1 continued
(Total for Question 1 is 3 marks)
3
Turn over
■■■■
, 2. (a) Find, in ascending powers of x, the first four terms of the binomial expansion of
1
2
1 9x
giving each term in simplest form.
(3)
2
(b) Give a reason why x = – should not be used in the expansion to find an
9
approximation to 3
(1)
4
■■■■
Centre Number Candidate Number
■ ■
Mathematics
Advanced
PAPER 1: Pure Mathematics 1
Marks
Candidates may use any calculator allowed by Pearson regulations. 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).
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.
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 15 questions in this question paper. The total mark for this paper is 100. – 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.
• Check your answers if you have time at the end. Turn over
,1. g(x) = 3x3 20x2 k 17
x k
where k is a constant.
Given that (x – 3) is a factor of g(x), find the value of k. (3)
2
■■■■
,Question 1 continued
(Total for Question 1 is 3 marks)
3
Turn over
■■■■
, 2. (a) Find, in ascending powers of x, the first four terms of the binomial expansion of
1
2
1 9x
giving each term in simplest form.
(3)
2
(b) Give a reason why x = – should not be used in the expansion to find an
9
approximation to 3
(1)
4
■■■■
