Cambridge AssessmentInternational EducationSyllabusCambridge International AS A LevelFurther Mathematics 9231For examination in June and November 2023,2024 and 2025.nCambridgeVersion 1PathwayWhy choose Cambridge?Cambridge International prepares school students for life,helping them develop an informed curiosity and a lastingpassion for learning.We are part of the University of Cambridge.Our Cambridge Pathway gives students a clear path for educational success from age 5 to 19.Schools can shapethe curriculum around how they want students to learn-with a wide range of subjects and flexible ways to offerthem.It helps students discover new abilities and a wider world,and gives them the skills they need for life,so theycan achieve at school,university and work.Our programmes and qualifications set the global standard for international education.They are created by subjectexperts,rooted in academic rigour and reflect the latest educational research.They provide a strong platform forstudents to progress from one stage to the next,and are well supported by teaching and learning resources.We review all our syllabuses regularly,so they reflect the latest research evidence and professional teachingpractice-and take account of the different national contexts in which they are taught.We consult with teachers to help us design each syllabus around the needs of their leamers.Consulting withleading universities has helped us make sure our syllabuses encourage students to master the key concepts in thesubject and develop the skills necessary for success in higher education.Our mission is to provide educational benefit through provision of international programmes and qualifications forschool education and to be the world leader in this field.Together with schools,we develop Cambridge leamerswho are confident,responsible,reflective,innovative and engaged-equipped for success in the modem world.Every year,nearly a million Cambridge students from 10000 schools in 160 countries prepare for their future withthe Cambridge Pathway.'We think the Cambridge curriculum is superb preparation for university.Christoph Guttentag,Dean of Undergraduate Admissions,Duke University,USAQuality managementCambridge International is committed to providing exceptional quality.In line with this commitment,ourquality management system for the provision of international qualifications and education programmes forstudents aged 5 to 19 is independently certified as meeting the intemationally recognised standard,ISO 9001:2015.Learn more at www.cambridgeinternational.org/ISO9001Copyright UCLES September 2020Cambridge Assessment International Education is part of the Cambridge Assessment Group.Cambridge Assessment is the brand name ofthe University of Cambridge Local Examinations Syndicate(UCLES),which itself is a department of the University of Cambridge.UCLES retains the copyright onall its publications.Registered centres are pemmitted to copy material from this booklet for their owninternal use.However,we cannot give permission to centres to photocopy any material that is acknowledged to a third party even forinternal use within a centre.Contents1 Why choose this syllabus?2 Syllabus overview ...............6AimsContent overviewStructureAssessment overview9Assessment objectives123 Subject content.……Prior knowledge131Further Pure Mathematics 1(for Paper 1)142Further Pure Mathematics 2(for Paper 2)183Further Mechanics(for Paper 3)224Further Probability Statistics(for Paper 4)254 Details of the assessment ...............27Planning for assessment of AS A Level Further Mathematics(9231)27Examination information27Command words295 List of formulae and statistical tables (MF19).......................306 What else you need to know ......43Before you start43Making entries44After the exam45How students,teachers and higher education can use the grades46Grade descriptions46Changes to this syllabus for 2023,2024 and 202547Important:Changes to this syllabusFor information about changes to this syllabus for 2023,2024 and 2025,go to page 47.The latest syllabus is version 1,published September 2020.There are no significant changes which affectteaching.Any textbooks endorsed to support the syllabus for examination from 2020 are still suitable for use with thissyllabus.