Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Thursday 18 January 2024
Morning (Time: 1 hour 30 minutes) Paper
reference WMA14/01
⯌ ⯌
Mathematics
International Advanced Level
Pure Mathematics P4
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), calculator
Pearson Edexcel International Advanced Level Mathematics International Advanced Level Pure Mathematics P4 QP JAN 2024
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
• Answer the be
questions in the spaces provided
•
– there may 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 9 questions in this question paper. The total mark for this paper is 75.
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.
•• 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.
Turn over
P74881A
©2024 Pearson Education Ltd.
S:1/1/1/
,1. Find, in ascending powers of x up to and including the term in x3, the binomial
expansion of
DO NOT WRITE IN THIS AREA
1
(1 4x)3 x <
4
fully simplifying each term.
(4)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
🞍🞍🞍🞍
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
🞍🞍🞍🞍
Question 1 continued
(Total for Question 1 is 4 marks)
Turn over
3
, 2. Given that
3x 4 A B C
DO NOT WRITE IN THIS AREA
(x 2)(2x 1) 2
x 2 2x 1 (2x 1)2
(a) find the values of the constants A, B and C.
(4)
(b) Hence find the exact value of
3x 4
12
dx
7
(x 2)(2x 1)2
giving your answer in the form p ln q + r where p, q and r are rational numbers.
(6)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
4
🞍🞍🞍🞍
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Thursday 18 January 2024
Morning (Time: 1 hour 30 minutes) Paper
reference WMA14/01
⯌ ⯌
Mathematics
International Advanced Level
Pure Mathematics P4
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), calculator
Pearson Edexcel International Advanced Level Mathematics International Advanced Level Pure Mathematics P4 QP JAN 2024
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
• Answer the be
questions in the spaces provided
•
– there may 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 9 questions in this question paper. The total mark for this paper is 75.
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.
•• 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.
Turn over
P74881A
©2024 Pearson Education Ltd.
S:1/1/1/
,1. Find, in ascending powers of x up to and including the term in x3, the binomial
expansion of
DO NOT WRITE IN THIS AREA
1
(1 4x)3 x <
4
fully simplifying each term.
(4)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
🞍🞍🞍🞍
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
🞍🞍🞍🞍
Question 1 continued
(Total for Question 1 is 4 marks)
Turn over
3
, 2. Given that
3x 4 A B C
DO NOT WRITE IN THIS AREA
(x 2)(2x 1) 2
x 2 2x 1 (2x 1)2
(a) find the values of the constants A, B and C.
(4)
(b) Hence find the exact value of
3x 4
12
dx
7
(x 2)(2x 1)2
giving your answer in the form p ln q + r where p, q and r are rational numbers.
(6)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
4
🞍🞍🞍🞍
