Core Pure Mathematics
Pearson Edexcel Level 3 GCE
Time 1 hour 40 minutes
Further Mathematics
Advanced Subsidiary
PAPER 1: Core Pure Mathematics
You must have:
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill
pen. in the boxes at the top of this page with
centre number and candidate number.
• Answer
your
all questions and ensure that your answers to parts of questions are
name,
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
Informatio
n
• otherwise stated.
A booklet ‘Mathematical Formulae and Statistical Tables’
• There are 9 questions in this question paper.
is provided.
The total mark for this paper is
80.
• The marks for each question are shown in
– use this as a guide as to how much time to spend on each question.
Advice
• Read
brackets
each question carefully before you start to answer it.
• Check your answers
Try to answer every if you have time at the end.
• Good luck with your
question. Turn over
examination.
P66790A
©2021 Pearson Education Ltd.
1/1/1/1/
1
,
, 0 1 1 0
Q=
1. P=
1 0 3
0
(a) (i) Describe fully the single geometrical transformation P represented by the matrix P.
(ii) Describe fully the single geometrical transformation Q represented by the matrix Q.
(4)
The transformation P followed by the transformation Q is the transformation R, which is
represented by the matrix R.
(b) Determine R.
(1)
(c) (i) Evaluate the determinant of R.
(ii) Explain how the value obtained in (c)(i) relates to the transformation R.
(2)
2
, Question 1 continued
(Total for Question 1 is 7 marks)
3
Turn over
Pearson Edexcel Level 3 GCE
Time 1 hour 40 minutes
Further Mathematics
Advanced Subsidiary
PAPER 1: Core Pure Mathematics
You must have:
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill
pen. in the boxes at the top of this page with
centre number and candidate number.
• Answer
your
all questions and ensure that your answers to parts of questions are
name,
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
Informatio
n
• otherwise stated.
A booklet ‘Mathematical Formulae and Statistical Tables’
• There are 9 questions in this question paper.
is provided.
The total mark for this paper is
80.
• The marks for each question are shown in
– use this as a guide as to how much time to spend on each question.
Advice
• Read
brackets
each question carefully before you start to answer it.
• Check your answers
Try to answer every if you have time at the end.
• Good luck with your
question. Turn over
examination.
P66790A
©2021 Pearson Education Ltd.
1/1/1/1/
1
,
, 0 1 1 0
Q=
1. P=
1 0 3
0
(a) (i) Describe fully the single geometrical transformation P represented by the matrix P.
(ii) Describe fully the single geometrical transformation Q represented by the matrix Q.
(4)
The transformation P followed by the transformation Q is the transformation R, which is
represented by the matrix R.
(b) Determine R.
(1)
(c) (i) Evaluate the determinant of R.
(ii) Explain how the value obtained in (c)(i) relates to the transformation R.
(2)
2
, Question 1 continued
(Total for Question 1 is 7 marks)
3
Turn over
