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Pearson Edexcel Level 3 GCE Mathematics

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Pearson Edexcel Level 3 GCE Mathematics Advanced Subsidiary Paper 1: Pure Mathematics Sample assessment material for first teaching September 2017 Time: 2 hours Paper Reference(s) 8MA0/01 You must have: Mathematical Formulae and Statistical Tables 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-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 the 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.  There are 17 questions in this question paper. The total mark for this paper is 100.  The marks for each question are shown in brackets – use this as a guide 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.  If you change your mind about an answer, cross it out and put your new answer and any working underneath. Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics – Sample assessment materials (SAMs) – Version 1.0 – Accredited pre-publication – March 2017 © Pearson Education Limited 2017 5Answer ALL questions. Write your answers in the spaces provided. 1. The line l passes through the points A (3, 1) and B (4, 2). Find an equation for l. (3) ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... (Total for Question 1 is 3 marks) Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics – Sample assessment materials (SAMs) – Version 1.0 – Accredited pre-publication – March 2017 © Pearson Education Limited 2017 62. The curve C has equation y x x    2 12 16 2 Find the gradient of the curve at the point P (5, 6). (Solutions based entirely on graphical or numerical methods are not acceptable.) (4) ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... ........................................................................................................................................................................................................................................... (Total for Question 2 is 4 marks) Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics – Sample assessment materials (SAMs) – Version 1.0 – Accredited pre-publication – March 2017 © Pearson Education Limited 2017 73. Given that the point A has position vector 3i – 7j and the point B has position vector 8i + 3j

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Pearson Edexcel Level 3 GCE

Mathematics
Advanced Subsidiary
Paper 1: Pure Mathematics
Sample assessment material for first teaching Paper Reference(s)
September 2017
Time: 2 hours
8MA0/01
You must have:
Mathematical Formulae and Statistical Tables
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-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 the 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.
 There are 17 questions in this question paper. The total mark for this
paper is 100.
 The marks for each question are shown in brackets
– use this as a guide 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.
 If you change your mind about an answer, cross it out and put your
new answer and any working underneath.



Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics – Sample assessment materials (SAMs) – 5
Version 1.0 – Accredited pre-publication – March 2017 © Pearson Education Limited 2017

, Answer ALL questions. Write your answers in the spaces provided.



1. The line l passes through the points A (3, 1) and B (4,  2).

Find an equation for l.
(3)



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(Total for Question 1 is 3 marks)




Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics – Sample assessment materials (SAMs) – 6
Version 1.0 – Accredited pre-publication – March 2017 © Pearson Education Limited 2017

, 2. The curve C has equation

y  2 x2  12 x  16


Find the gradient of the curve at the point P (5, 6).
(Solutions based entirely on graphical or numerical methods are not acceptable.)

(4)

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(Total for Question 2 is 4 marks)



Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics – Sample assessment materials (SAMs) – 7
Version 1.0 – Accredited pre-publication – March 2017 © Pearson Education Limited 2017

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