.
Please check the examination details below before entering your candidate information
Candidate surname Other names
Pearson Edexcel Centre Number Candidate Number
International
Advanced Level
Wednesday 10 June 2020
Afternoon (Time: 1 hour 30 minutes) Paper Reference WMA14/01
Mathematics
International Advanced Subsidiary/Advanced Level
Pure Mathematics P4
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Lilac), calculator
Candidates may use any calculator permitted 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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name, centre number and
• clearly
candidate number.
Answer all questions and ensure that your answers to parts of questions are
• – there may
labelled.
Answer the questions in the spaces provided
• without working may
be more space than you need.
You should show sufficient working to make your methods clear. Answers
• stated.
not gain full credit.
Inexact answers should be given to three significant figures unless otherwise
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 9 questions in this question paper. The total mark for this paper is 75.
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
•• Check
Try to answer every question.
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.
Turn over
*P65759A0132*
P65759A
©2020 Pearson Education Ltd.
1/1/1/1/
, Leave
blank
1. Given that n is an integer, use algebra, to prove by contradiction, that if n3 is even
then n is even.
(4)
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2
*P65759A0232*
, Leave
blank
Question 1 continued
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(Total 4 marks)
3
*P65759A0332* Turn over
, Leave
blank
2. (a) Use the binomial expansion to expand
1
−
4
(4 − 5x) 2
x <
5
in ascending powers of x, up to and including the term in x 2 giving each coefficient as
a fully simplified fraction.
(4)
2
kx
f x
where k is a constant and x <
4
4 5x 5
Given that the series expansion of f(x), in ascending powers of x, is
3
1+ x + mx 2 + ... where m is a constant
10
(b) find the value of k,
(2)
(c) find the value of m.
(2)
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4
*P65759A0432*
Please check the examination details below before entering your candidate information
Candidate surname Other names
Pearson Edexcel Centre Number Candidate Number
International
Advanced Level
Wednesday 10 June 2020
Afternoon (Time: 1 hour 30 minutes) Paper Reference WMA14/01
Mathematics
International Advanced Subsidiary/Advanced Level
Pure Mathematics P4
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Lilac), calculator
Candidates may use any calculator permitted 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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name, centre number and
• clearly
candidate number.
Answer all questions and ensure that your answers to parts of questions are
• – there may
labelled.
Answer the questions in the spaces provided
• without working may
be more space than you need.
You should show sufficient working to make your methods clear. Answers
• stated.
not gain full credit.
Inexact answers should be given to three significant figures unless otherwise
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 9 questions in this question paper. The total mark for this paper is 75.
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
•• Check
Try to answer every question.
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.
Turn over
*P65759A0132*
P65759A
©2020 Pearson Education Ltd.
1/1/1/1/
, Leave
blank
1. Given that n is an integer, use algebra, to prove by contradiction, that if n3 is even
then n is even.
(4)
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
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2
*P65759A0232*
, Leave
blank
Question 1 continued
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___________________________________________________________________________ Q1
(Total 4 marks)
3
*P65759A0332* Turn over
, Leave
blank
2. (a) Use the binomial expansion to expand
1
−
4
(4 − 5x) 2
x <
5
in ascending powers of x, up to and including the term in x 2 giving each coefficient as
a fully simplified fraction.
(4)
2
kx
f x
where k is a constant and x <
4
4 5x 5
Given that the series expansion of f(x), in ascending powers of x, is
3
1+ x + mx 2 + ... where m is a constant
10
(b) find the value of k,
(2)
(c) find the value of m.
(2)
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4
*P65759A0432*
