edexcel as level pure mathematics paper 1 2024 included questions testing topics such as algebra, functions, coordinate geometry, calculus, ETC ALL QUESTIONS COVERED BEST STUDY GUIDE
Candidates may use any calculator allowed by the regulations of the
Joint Council for Qualifications. 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
centre boxesand
number at the top of this
candidate page with your name,
number.
• Answer all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Inexact answers should be given to three significant figures unless otherwise stated.
Answers without working may not gain full credit.
Information
•• AThere
booklet 'Mathematical Formulae and Statistical Tables' is provided.
are 14 questions in this question paper. The total mark for this paper is 100.
• –Theusemarks
this asfor each as
a guide question
to how are
much shown
timeintobrackets
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.
, 2. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
f (x) = 2x3 – 3ax2 + bx + 8a
where a and b are constants.
Given that (x – 4) is a factor of f (x),
(a) use the factor theorem to show that
10a = 32 + b
(2)
Given also that (x – 2) is a factor of f (x),
(b) express f (x) in the form
f (x) = (2x + k)(x – 4) (x – 2)
where k is a constant to be found.
(4)
(c) Hence,
(i) state the number of real roots of the equation f (x) = 0
1
(ii) write down the largest root of the equation f x =0
3 (2)
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