Baffour Ba Series
ELECTIVE
MATHEMATICS
for
Schools and Colleges
By:
BAFFOUR ASAMOAH
CERT „A‟– OTC, Dip(Edu) – UCC, B.Ed (Maths) – UEW, BAT(Admin) – CSUC, BSc (Maths & Stats) - PUC
,Copyright© 2018
All rights reserved under copyright law.
No part of this publication may be published, produced or stored on a print or any retrievable media
without approval or authorization.
For suggestions & views / copies;
Please call any of the following numbers:
ISBN : P0002417952
Baffour Ba Series , Further Mathematics for Schools Page i
,PREFACE
Baffour Ba Series, is a series of Mathematics, covering the contents of Senior High Schools and
Colleges syllabus.
In this book, each chapter is broken down into short, manageable sections intended to completely
alleviate or reduce to a large extent, the canker that is termed in Ghanaian context as “Math‟s
Phobia” by providing in its content, concise notes and commentaries with well – illustrated
diagrams on each topic and subtopic of the Senior High Schools and Colleges Syllabuses.
The book reflects the authors experience that students work better from work examples than
abstract discussion of principles, hence the provision of numerous and comprehensive range of
worked examples. A numbered, step-by-step approach to problem solving, trial test and challenge
problems intended to cater for gifted students are greatly featured in this book. Not left out in this
book is “exercises” on each subtopic which contains an extensive selection of Multiple- choice,
Fill-ins, True or False, Essay – type questions similar in standard to the WASSCE questions.
Tackling these exercises is no doubt, an excellent form of revision. Answers to all exercises are also
provided to help students assess their level of progress.
Taking into accounts, full analysis of the pattern and level of difficulty of examination questions,
the last part of the book is “some solved past questions”, in its content.
Baffour Ba Series , Further Mathematics for Schools Page ii
, ACKNOWLEDGEMENTS
A myriad of services including spiritual, moral, inspirational, motivational and financial support,
typing, editing, printing, designing and what have you, were deeply rendered by friends, family
members, students, staff members, some co - tutors of J.H.S, S.H.S and Colleges of Education to
make this work a success. To mention a few: Mrs. Joyce Mensah, Mr. Kwabena Agyeman (Check
Yourself), Mr. Asamoah Koduah Thick, Mr. Stephen Amoateng, Mr. Frank Owusu, Mr. Kwaku
Boateng, Mr. Augustine Boadi, Mr. Isaac Owusu Mensah, Mr. Owusu Blessing, Mr. K.D. Bosiako,
Mr. Brownson Adusei, Mr. Bernard Kusi Knambers, Mr. Attakorah Jacob, Mr. Sampson Brobbey,
George Osei Mensah (Kin – George), Cherish Asamoah Baffour – Ba, Prize Asamoah Agyei
Baffour Ba Snr, Prize Asamoah Agyei Baffour Ba Jnr, Grace Adwoa Pomaa, Benjamin Osei –
Mensah (Benjii), Appiah Collins, Maybel Owusu Ansah, Antwi Gloria, Priscilla Mensah, Ernest
Baffoe, Oteng Kwabena, Mrs Diana Amankwah, Mr. Opoku John, the Department of Mathematics,
AGASS, and the Department of Mathematics, OKESS .
I also wish to acknowledge the fact that the book is not absolutely free from errors of typing,
grammar and inaccuracy. These occurred as a result of oversight but not ignorance and
incompetence on the part of the author and editors. These should therefore, not undermine the
credibility of the book, for they say “to err is human”. However, your comments, corrections,
suggestions and criticism are warmly welcomed for consideration and rectification in the next
edition.
Baffour Asamoah
(Baffour Ba)
Baffour Ba Series , Further Mathematics for Schools Page iii
ELECTIVE
MATHEMATICS
for
Schools and Colleges
By:
BAFFOUR ASAMOAH
CERT „A‟– OTC, Dip(Edu) – UCC, B.Ed (Maths) – UEW, BAT(Admin) – CSUC, BSc (Maths & Stats) - PUC
,Copyright© 2018
All rights reserved under copyright law.
No part of this publication may be published, produced or stored on a print or any retrievable media
without approval or authorization.
For suggestions & views / copies;
Please call any of the following numbers:
ISBN : P0002417952
Baffour Ba Series , Further Mathematics for Schools Page i
,PREFACE
Baffour Ba Series, is a series of Mathematics, covering the contents of Senior High Schools and
Colleges syllabus.
In this book, each chapter is broken down into short, manageable sections intended to completely
alleviate or reduce to a large extent, the canker that is termed in Ghanaian context as “Math‟s
Phobia” by providing in its content, concise notes and commentaries with well – illustrated
diagrams on each topic and subtopic of the Senior High Schools and Colleges Syllabuses.
The book reflects the authors experience that students work better from work examples than
abstract discussion of principles, hence the provision of numerous and comprehensive range of
worked examples. A numbered, step-by-step approach to problem solving, trial test and challenge
problems intended to cater for gifted students are greatly featured in this book. Not left out in this
book is “exercises” on each subtopic which contains an extensive selection of Multiple- choice,
Fill-ins, True or False, Essay – type questions similar in standard to the WASSCE questions.
Tackling these exercises is no doubt, an excellent form of revision. Answers to all exercises are also
provided to help students assess their level of progress.
Taking into accounts, full analysis of the pattern and level of difficulty of examination questions,
the last part of the book is “some solved past questions”, in its content.
Baffour Ba Series , Further Mathematics for Schools Page ii
, ACKNOWLEDGEMENTS
A myriad of services including spiritual, moral, inspirational, motivational and financial support,
typing, editing, printing, designing and what have you, were deeply rendered by friends, family
members, students, staff members, some co - tutors of J.H.S, S.H.S and Colleges of Education to
make this work a success. To mention a few: Mrs. Joyce Mensah, Mr. Kwabena Agyeman (Check
Yourself), Mr. Asamoah Koduah Thick, Mr. Stephen Amoateng, Mr. Frank Owusu, Mr. Kwaku
Boateng, Mr. Augustine Boadi, Mr. Isaac Owusu Mensah, Mr. Owusu Blessing, Mr. K.D. Bosiako,
Mr. Brownson Adusei, Mr. Bernard Kusi Knambers, Mr. Attakorah Jacob, Mr. Sampson Brobbey,
George Osei Mensah (Kin – George), Cherish Asamoah Baffour – Ba, Prize Asamoah Agyei
Baffour Ba Snr, Prize Asamoah Agyei Baffour Ba Jnr, Grace Adwoa Pomaa, Benjamin Osei –
Mensah (Benjii), Appiah Collins, Maybel Owusu Ansah, Antwi Gloria, Priscilla Mensah, Ernest
Baffoe, Oteng Kwabena, Mrs Diana Amankwah, Mr. Opoku John, the Department of Mathematics,
AGASS, and the Department of Mathematics, OKESS .
I also wish to acknowledge the fact that the book is not absolutely free from errors of typing,
grammar and inaccuracy. These occurred as a result of oversight but not ignorance and
incompetence on the part of the author and editors. These should therefore, not undermine the
credibility of the book, for they say “to err is human”. However, your comments, corrections,
suggestions and criticism are warmly welcomed for consideration and rectification in the next
edition.
Baffour Asamoah
(Baffour Ba)
Baffour Ba Series , Further Mathematics for Schools Page iii