surname names
Number Number
Mathematics
■ ■
Advanced
PAPER 2: Pure Mathematics 2
Pearson Edexcel Level 3 GCE Mathematics Advanced PAPER 2: Pure Mathematics 2 QP JUNE 2024
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.
• 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,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Inexact
Answers without working may not gain full credit.
answers should be given to three significant figures unless
otherwise stated.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 15 questions in this question paper. The total mark for this paper is 100.
The marks each as
question
to how are
muchshown
timeintobrackets
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. Turn over
P75694A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/
,1. y 4x3 7x 2 5x 10
(a) Find in simplest form
DO NOT WRITE IN THIS AREA
dy
(i)
dx
d2 y
(ii)
dx2
(3)
2
d y
(b) Hence find the exact value of x when =0
dx2
(2)
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 5 marks)
3
Turn over
, 2. Jamie takes out an interest‑free loan of £8100
Jamie makes a payment every month to pay back the loan.
DO NOT WRITE IN THIS AREA
Jamie repays £400 in month 1, £390 in month 2, £380 in month 3, and so on, so that the
amounts repaid each month form an arithmetic sequence.
(a) Show that Jamie repays £290 in month 12
(1)
After Jamie’s Nth payment, the loan is completely paid back.
(b) Show that N 2 – 81N + 1620 = 0
(2)
(c) Hence find the value of N.
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
4
■■■■
Number Number
Mathematics
■ ■
Advanced
PAPER 2: Pure Mathematics 2
Pearson Edexcel Level 3 GCE Mathematics Advanced PAPER 2: Pure Mathematics 2 QP JUNE 2024
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.
• 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,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Inexact
Answers without working may not gain full credit.
answers should be given to three significant figures unless
otherwise stated.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 15 questions in this question paper. The total mark for this paper is 100.
The marks each as
question
to how are
muchshown
timeintobrackets
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. Turn over
P75694A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/
,1. y 4x3 7x 2 5x 10
(a) Find in simplest form
DO NOT WRITE IN THIS AREA
dy
(i)
dx
d2 y
(ii)
dx2
(3)
2
d y
(b) Hence find the exact value of x when =0
dx2
(2)
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 5 marks)
3
Turn over
, 2. Jamie takes out an interest‑free loan of £8100
Jamie makes a payment every month to pay back the loan.
DO NOT WRITE IN THIS AREA
Jamie repays £400 in month 1, £390 in month 2, £380 in month 3, and so on, so that the
amounts repaid each month form an arithmetic sequence.
(a) Show that Jamie repays £290 in month 12
(1)
After Jamie’s Nth payment, the loan is completely paid back.
(b) Show that N 2 – 81N + 1620 = 0
(2)
(c) Hence find the value of N.
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
4
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