Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Wednesday 14 October 2020
Afternoon (Time: 2 hours) Paper Reference 9MA0/02
Mathematics
Advanced
Paper 2: Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
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).
• 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 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.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 16 questions in this question paper. The total mark for this paper is 100.
• – use this asfora guide
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.
Try to answer every question.
• Check your answers if you have time at the end.
Turn over
*P66786A0152*
P66786A
©2020 Pearson Education Ltd.
1/1/1/1/1/1/
, x
1 The table below shows corresponding values of x and y for y =
1+ x
The values of y are given to 4 significant figures.
x 0.5 1 1.5 2 2.5
y 0.5774 0.7071 0.7746 0.8165 0.8452
(a) Use the trapezium rule, with all the values of y in the table, to find an estimate for
∫
2.5
x
dx
0.5
1+ x
giving your answer to 3 significant figures.
(3)
∫
2.5
9x
(b) Using your answer to part (a), deduce an estimate for dx
0.5
1+ x
(1)
Given that
∫
2.5
9x
dx = 4.535 to 4 significant figures
0.5
1+ x
(c) comment on the accuracy of your answer to part (b).
(1)
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2
*P66786A0252*
,Question 1 continued
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(Total for Question 1 is 5 marks)
3
*P66786A0352* Turn over
, 2. Relative to a fixed origin, points P, Q and R have position vectors p, q and r respectively.
Given that
● P, Q and R lie on a straight line
● Q lies one third of the way from P to R
show that
1
q= (r + 2p)
3
(3)
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4
*P66786A0452*
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Wednesday 14 October 2020
Afternoon (Time: 2 hours) Paper Reference 9MA0/02
Mathematics
Advanced
Paper 2: Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
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).
• 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 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.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 16 questions in this question paper. The total mark for this paper is 100.
• – use this asfora guide
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.
Try to answer every question.
• Check your answers if you have time at the end.
Turn over
*P66786A0152*
P66786A
©2020 Pearson Education Ltd.
1/1/1/1/1/1/
, x
1 The table below shows corresponding values of x and y for y =
1+ x
The values of y are given to 4 significant figures.
x 0.5 1 1.5 2 2.5
y 0.5774 0.7071 0.7746 0.8165 0.8452
(a) Use the trapezium rule, with all the values of y in the table, to find an estimate for
∫
2.5
x
dx
0.5
1+ x
giving your answer to 3 significant figures.
(3)
∫
2.5
9x
(b) Using your answer to part (a), deduce an estimate for dx
0.5
1+ x
(1)
Given that
∫
2.5
9x
dx = 4.535 to 4 significant figures
0.5
1+ x
(c) comment on the accuracy of your answer to part (b).
(1)
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2
*P66786A0252*
,Question 1 continued
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(Total for Question 1 is 5 marks)
3
*P66786A0352* Turn over
, 2. Relative to a fixed origin, points P, Q and R have position vectors p, q and r respectively.
Given that
● P, Q and R lie on a straight line
● Q lies one third of the way from P to R
show that
1
q= (r + 2p)
3
(3)
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4
*P66786A0452*
