Exam (elaborations)
EDEXCEL AS LEVEL FURTHER MATHS 2022 PAPER 1
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EDEXCEL AS LEVEL FURTHER MATHS 2022 PAPER 1
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Edexcel A Level 2022 papers andmarkschemes
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Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Time 1 hour 40 minutes
Paper
reference 8FM0/01
Further Mathematics
Advanced Subsidiary
PAPER 1: Core Pure Mathematics
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.
• working
You should show sufficient working to make your methods clear. Answers without
may not gain full credit.
• otherwise stated.should be given to three significant figures unless
Inexact answers
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 8 questions in this question paper. The total mark for this paper is 80.
• – 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
*P68730A0132*
P68730A
©2022 Pearson Education Ltd.
Q:1/1/1/1/1/
,1.
4 −1 −5 2 1
2 3 2
A= 7 2 B = C = 4 8
5
3
−1 6
−5 8 −6 11 2
Given that I is the 3 × 3 identity matrix,
(a) (i) show that there is an integer k for which
AB − 3C + kI = 0
stating the value of k
(ii) explain why there can be no constant m such that
BA − 3C + mI = 0
(4)
(b) (i) Show how the matrix C can be used to solve the simultaneous equations
−5x + 2y + z = −14
4x + 3y + 8z = 3
−6x + 11y + 2z = 7
(ii) Hence use your calculator to solve these equations.
(3)
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2
*P68730A0232*
, Question 1 continued
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3
*P68730A0332* Turn over
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