A Level Further Mathematics - Edexcel

1 A Level Further Mathematics Sample Assessment Materials Pearson Edexcel Level 3 Advanced GCE in Further Mathematics (9FM0). First teaching from September 2017. First certification from 2019 Issue 1. Edexcel , BTEC and LCCI qualifications Edexcel , BTEC and LCCI qualifications are awarded by Pearson, the UK's largest awarding body offering academic and vocational qualifications that are globally recognised and benchmarked. For Further information, please visit our qualification website at Alternatively, you can get in touch with us using the details on our contact us page at About Pearson Pearson is the world's leading learning company, with 35,000 employees in more than 70 countries working to help people of all ages to make measurable progress in their lives through learning.

2 We put the learner at the centre of everything we do, because wherever learning flourishes, so do people. Find out more about how we can help you and your learners at References to third party material made in this sample assessment materials are made in good faith. Pearson does not endorse, approve or accept responsibility for the content of materials, which may be subject to change, or any opinions expressed therein. (Material may include textbooks, journals, magazines and other publications and websites.). All information in this document is correct at time of publication. Original origami artwork: Mark Bolitho Origami photography: Pearson Education Ltd/Naki Kouyioumtzis ISBN 978 1 4469 3352 7.

3 All the material in this publication is copyright Pearson Education Limited 2017. Contents Introduction 1. General marking guidance 3. Paper 1 sample question paper and mark scheme 5. Paper 2 sample question paper and mark scheme 43. Paper 3A sample question paper and mark scheme 73. Paper 4A sample question paper and mark scheme 105. Paper 3B/4B sample question paper and mark scheme 145. Paper 4E sample question paper and mark scheme 179. Paper 3C/4C sample question paper and mark scheme 215. Paper 4F sample question paper and mark scheme 251. Paper 3D/4D sample question paper and mark scheme 287.

4 Paper 4G sample question paper and mark schemeg 325. Introduction The Pearson Edexcel Level 3 Advanced GCE in Further Mathematics is designed for use in schools and colleges. It is part of a suite of AS/A Level qualifications offered by Pearson. These sample assessment materials have been developed to support this qualification and will be used as the benchmark to develop the assessment students will take. The booklet Mathematical Formulae and Statistical Tables' will be provided for use with these assessments and can be downloaded from our website, Pearson Edexcel Level 3 Advanced GCE in Further Mathematics 1.

5 Sample Assessment Materials Issue 1 July 2017 Pearson Education Limited 2017. 2 Pearson Edexcel Level 3 Advanced GCE in Further Mathematics Sample Assessment Materials Issue 1 July 2017 Pearson Education Limited 2017. General marking guidance All candidates must receive the same treatment. Examiners must mark the last candidate in exactly the same way as they mark the first. Mark schemes should be applied positively. Candidates must be rewarded for what they have shown they can do rather than be penalised for omissions. Examiners should mark according to the mark scheme not according to their perception of where the grade boundaries may lie.

6 All the marks on the mark scheme are designed to be awarded. Examiners should always award full marks if deserved, if the answer matches the mark scheme. Examiners should also be prepared to award zero marks if the candidate's response is not worthy of credit according to the mark scheme. Where some judgement is required, mark schemes will provide the principles by which marks will be awarded and exemplification/indicative content will not be exhaustive. However different examples of responses will be provided at standardisation. When examiners are in doubt regarding the application of the mark scheme to a candidate's response, a senior examiner must be consulted before a mark is given.

7 Crossed-out work should be marked unless the candidate has replaced it with an alternative response. Specific guidance for Mathematics 1. These mark schemes use the following types of marks: M marks: Method marks are awarded for knowing a method and attempting to apply it', unless otherwise indicated. A marks: Accuracy marks can only be awarded if the relevant method (M) marks have been earned. B marks are unconditional accuracy marks ( independent of M marks). Marks should not be subdivided. 2. Abbreviations These are some of the traditional marking abbreviations that may appear in the mark schemes.

8 Bod benefit of doubt SC: special case ft follow through or equivalent (and appropriate). this symbol is used for correct ft d dependent or dep cao correct answer only indep independent cso correct solution only. There must be no errors in dp decimal places this part of the question to obtain this mark sf significant figures isw ignore subsequent working The answer is printed on the paper or ag- answer awrt answers which round to given Pearson Edexcel Level 3 Advanced GCE in Further Mathematics 3. Sample Assessment Materials Issue 1 July 2017 Pearson Education Limited 2017. or d The second mark is dependent on gaining the first mark 3.

9 All M marks are follow through. All A marks are correct answer only' (cao.), unless shown, for example, as A1 ft to indicate that previous wrong working is to be followed through. After a misread however, the subsequent A marks affected are treated as A ft, but answers that don't logically make sense if an answer given for a probability is >1 or <0, should never be awarded A marks. 4. For misreading which does not alter the character of a question or materially simplify it, deduct two from any A or B marks gained, in that part of the question affected. 5. Where a candidate has made multiple responses and indicates which response they wish to submit, examiners should mark this response.

10 If there are several attempts at a question which have not been crossed out, examiners should mark the final answer which is the answer that is the most complete. 6. Ignore wrong working or incorrect statements following a correct answer. 7. Mark schemes will firstly show the solution judged to be the most common response expected from candidates. Where appropriate, alternative answers are provided in the notes. If examiners are not sure if an answer is acceptable, they will check the mark scheme to see if an alternative answer is given for the method used. If no such alternative answer is provided but deemed to be valid, examiners must escalate the response to a senior examiner to review .