scheme May 2025
surname names
Number Number
Further Mathematics
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Advanced Subsidiary
PAPER 1: Core Pure Mathematics
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
• IfUsepencil
black is ink
usedorfor diagrams/sketches/graphs
ball-point pen. it must be dark (HB or B).
• Fceilnl tinrethnuembboexresanadt tchaendtoidpaotfetnhiusmpbageer.with your name,
• 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 without working may not gain full credit.
answers should be given to three significant figures unless
otherwise stated.
Information
• There
A bookletare ‘Mathematical
11 questions inFormulae this question paper. TheTables’
and Statistical total mark for this paper is 80.
is provided.
• –Thuesemtahrisksasfoargeuaidceh aqsuteosthiown amreucshhotiwmneintobsrpaecnkedtos n 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.
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Turn over
,
, 1. z = 3 – 3i
(a) Write z in the form r (cos θ + i sin θ) where –π < θ π
DO NOT WRITE IN THIS AREA
(2)
(b) Show and label on a single Argand diagram
(i) the point P representing z
(ii) the point Q representing iz
(2)
(c) Describe the geometrical transformation that maps P onto Q
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
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