Edexcel a level further pure mathematics

question paper 3a june 2023

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Please check the examination details below before entering your candidate information

Candidate surname Other names

Centre Number Candidate Number

Pearson Edexcel Level 3 GCE

Thursday 22 June 2023

Afternoon (Time: 1 hour 30 minutes) Paper reference 9FM0/3A

Total Marks

Further Mathematics

Advanced PAPER 3A: Further Pure Mathematics 1

You must have:

Mathematical Formulae and Statistical Tables (Green), calculator

Candidates may use any calculator permitted by Pearson regulations. Calculators

must not have the facility for symbolic 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 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 7 questions in this question paper. The total mark for this paper is 75.

• 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.

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2

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1. (a) Use Simpson’s rule with 4 intervals to find an estimate for

esin2 d

2 0

x

ò x

Give your answer to 3 significant figures.

(4)

Given that esin2 d

2 0

x

ò x = 3.855 to 4 significant figures,

(b) comment on the accuracy of your answer to part (a).

(1)

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Question 1 continued

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