a level
further mathematics
pure maths
edexcel
pure maths paper 1 2023
2023 a level
a level edexcel further mathematics core pure math
a level edexcel further maths
mathematics core pure maths paper 1
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for algebraic 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
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
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Th n amreucshhotiwmneintobsrpaecnkedtos n each question.
Advice
Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
P72794A
,1. The cubic equation
x3 – 7x2 – 12x + 6 = 0
has roots α, β and γ.
Without solving the equation, determine a cubic equation whose roots are (α + 2),
(β + 2) and (γ + 2), giving your answer in the form w3 + pw2 + qw + r = 0 , where p, q
and r are integers to be found.
(5)
2
, Question 1 continued
(Total for Question 1 is 5 marks)
3
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