Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Mock Paper Set 5
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.
• 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,
• clearly
centre number and 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
• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.
• otherwise stated.
may not gain full credit.
Inexact answers should be given to three significant figures unless
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 14 questions in this question paper. The total mark for this paper is 100.
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 your answers if you have time at the end.
Try to answer every question.
Turn over
S77993A
©2023 Pearson Education Ltd.
1/1/1/1/1/
*S77993A0140*
,1. f (x) = (3x + 2)2 + (2x – 3)2 x ∈
(a) Show that f (x) = 13(x2 + 1)
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
(3)
(b) Hence find the minimum value of f (x)
(1)
A student states
“f (x) is a multiple of 13 for all values of x ”
(c) State whether the student’s statement is always true, sometimes true or never true.
Justify your answer fully.
(2)
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2
*S77993A0240*
, Question 1 continued
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(Total for Question 1 is 6 marks)
3
*S77993A0340* Turn over
, 2. The point A has position vector
a = (4p + q) i + (2p – 2q) j + (q – 2p) k
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
where p and q are constants.
Given that
• the k component of a is 14
• the j component of a is twice the i component of a
find the value of p and the value of q.
(4)
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4
*S77993A0440*
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Mock Paper Set 5
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.
• 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,
• clearly
centre number and 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
• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.
• otherwise stated.
may not gain full credit.
Inexact answers should be given to three significant figures unless
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 14 questions in this question paper. The total mark for this paper is 100.
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 your answers if you have time at the end.
Try to answer every question.
Turn over
S77993A
©2023 Pearson Education Ltd.
1/1/1/1/1/
*S77993A0140*
,1. f (x) = (3x + 2)2 + (2x – 3)2 x ∈
(a) Show that f (x) = 13(x2 + 1)
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
(3)
(b) Hence find the minimum value of f (x)
(1)
A student states
“f (x) is a multiple of 13 for all values of x ”
(c) State whether the student’s statement is always true, sometimes true or never true.
Justify your answer fully.
(2)
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2
*S77993A0240*
, Question 1 continued
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(Total for Question 1 is 6 marks)
3
*S77993A0340* Turn over
, 2. The point A has position vector
a = (4p + q) i + (2p – 2q) j + (q – 2p) k
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
where p and q are constants.
Given that
• the k component of a is 14
• the j component of a is twice the i component of a
find the value of p and the value of q.
(4)
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4
*S77993A0440*
