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AQA MPC3 w TSM EX JUN08

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This candidate correctly answered parts a and b, then applied the product rule correctly toobtain the correct answer.. The candidate was penalised the final accuracy mark... Student Resp

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Teacher Support Materials

2008 Maths GCE

Paper Reference MPC3

Copyright © 2008 AQA and its licensors All rights reserved.

Permission to reproduce all copyrighted material has been applied for In some cases, efforts to contact copyright holders have

been unsuccessful and AQA will be happy to rectify any omissions if notified.

The Assessment and Qualifications Alliance (AQA) is a company limited by guarantee registered in England and Wales (company number 3644723) and a registered charity (registered charity number 1073334) Registered address: AQA, Devas Street, Manchester M15 6EX.

Dr Michael Cresswell, Director General.

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Question 1c

Student Response

Commentary

Candidates will be penalised for incorrect algebra

This candidate correctly answered parts (a) and (b), then applied the product rule correctly toobtain the correct answer Unfortunately the candidate proceeded to simplify their answerand produced some very poor work They have taken an algebraic factor inside the ln

expression

The candidate was penalised the final accuracy mark

Mark scheme

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Question 2

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Student response

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Candidates sometimes make mistakes under exam pressure but then maintain that ‘mistake’

If that is the case they will, normally, only be penalised once in the question

This candidate made amistake in part (a) of the question but they ‘carried forward’ theiranswers to part (c) and this was then recorded They did lose extra marks in this part

through not solving the secong part of the quadratic equation

Mark Scheme

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Question 3(a)(iii)

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Student Response

Commentary

On this paper candidates will have parts of questions where the answer will be given andcandidates have to show the result

Examiners check working carefully

Regularly candidates will make major blunders in a solution and then ‘miraculously’ arrive atthe correct answer

These candidates as in the shown example will not score the marks

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Mark Scheme

Question 3(c)

Student Response

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In questions that require numerical evaluation candidates must ensure that they answer tothe required degree of accuracy

This candidate has correctly used integration by parts, substituted values into their

expression correctly but then has written the final answer to 2 significant figures (or to 3decimal places!) and hence have lost the final accuracy mark

Mark Scheme

Question 4(c)

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Student Response

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Although the mark scheme solved this part of the question using simple modulus functions itwas possible to solve the question by using a quadratic equation

This candidate has produced a perfect solution

The working has taken more than the other printed solution but this candidate was able tosolve the quadratic carefully

A candidate could have scored full marks if they arrived at the correct quadratic equation andthen written down the answers using a graphical calculator

Mark Scheme

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Question 5(a)

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The second sketch is the correct shape but only scores 1 mark as the intersections on theaxes are incorrect.

The transformation has been incorrectly interepreted

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Mark Scheme

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Question 5(b)(i)

Student Response

Commentary

Candidates must ‘think through’ graphical transformations

The function needed the translation to be split into 2 distinct parts either side of the stretch

Or to adjust the original function first

The order of transformations is vital

Mark Scheme

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Question 6(b)

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Student Response

Commentary

Numerical method questions need students to carefully study the required degree of

accuracy and then work to a greater degree of accuracy

This script has worked to 3 significant figures, but then the candidate cannot be sure that thefinal answer is correct ot 3 significant figures

If the student had listed the functions not evaluated, they wouldn’t have been penalised

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Mark Scheme

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This particular question required an exact answer.

The candidate arrived at the correct expression after substituting in the limits but then failed

to tidy up the expression exactly and instead resorted to the calculator for a final answer

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Mark Scheme

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Question 7(c)

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Student Response

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Questions that are split into a number of parts often are linked

This final part of the question brought together work in parts (b) and (c) This candidatedidn’t study the question and started the final part from scratch After solving the questionthey realised their ‘error’ as shown by their comment

Questions are normally structured and candidates should be aware of this

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Mark Scheme

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