Advanced
PAPER 1: Core Pure
Mathematics
You must have: 1 Total
Mathematical Formulae and Statistical Tables Marks
(Green), calculator
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-
• 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
point pen.
centre number and candidate number.
•Answer all questions and ensure that your answers to parts of
your name,
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
Informat
• stated.
ion
A booklet ‘Mathematical Formulae and Statistical
• The marks
There are 8for each question
questions
Tables’ is provided.
are shown
in this question paper. The total mark for
this paper is 75. – use this as a guide as to how much time to
in brackets
spend on each question.
Advi
•
ce
Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at Turn over
the end.
question.
/
,1. The cubic equation
x3 – 7x2 – 12x + 6 = 0
AREA
DO NOT WRITE IN THIS
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)
AREA
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
2
, Question 1 continued
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
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DO NOT WRITE IN THIS
AREA
(Total for Question 1 is 5 marks)
3
Turn
over
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