Level 3 GCE Mathematics - StudyWell

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Pearson Edexcel Centre Number Level 3 GCE

Mathematics

Advanced Subsidiary Paper 1: Pure Mathematics

Candidate Number

Sample Assessment Material for first teaching September 2017

Time: 2 hours

Paper Reference

8MA0/01

You must have: Mathematical Formulae and Statistical Tables, calculator

Total Marks

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. 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.

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Pearson Edexcel Level 3 Advanced GCE in Mathematics ? Sample Assessment Materials

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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)

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2. The curve C has equation

y = 2x2 - 2x + 16

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Find the gradient of the curve at the point P ( , ).

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(Solutions based entirely on graphical or numerical methods are not acceptable.) (4)

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(Total for Question 2 is 4 marks)

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3. Given that the point A has position vector 3i - j and the point B has position vector 8i + 3j,

(a) find the vector l AB

(2)

l

()

AB .

.

(2)

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(Total for Question 3 is 4 marks)

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4. (x) 4x3 - 2x2 2x -

()

(x - )

( x ).

(2)

()

(x)

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(Total for Question 4 is 6 marks)

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5. Given that

12

(x) 2x + 3 + , x >

22

x2

f (x)d x = 16 + 3 2

1

(5)

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(Total for Question 5 is 5 marks)

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6. Prove, from first principles, that the derivative of 3x2 is 6x. (4)

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(Total for Question 6 is 4 marks)

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7. ( )

,

2

-

x 2

7

,

x, of the binomial expansion of

. (4)

()

.

(1)

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