Henry R. Amponsah
Students of Senior High Schools frequently encounter difficulties when
solving mathematical problems. The Author’s principal concern has been clarity
and simplicity in dealing with all the topics.
This book covers the Senior High School syllabus in Core Mathematics
and the student has been provided, after each topic, with model questions and
solutions in a manner comprehensible to any average student. Attention has also
been paid to every detail in providing a solution that conforms to marking
schemes of examining bodies’ world wide.
This Book is self explanatory and needs minimum or no supervision in
order to understand the concept underlying each topic and contains many
examples that are all standard questions. No room has been provided for
irrelevant topics or materials to further complicate the plight of the weakest
student of Mathematics.
Any serious student, who makes and attempt to work through all the
problems, using the model solutions as a guide, is assured of success in all
Senior High School final examinations and further examinations.
It is my fond hope that both the instructors and students who use this
book will find it fulfilling and also hope that the book will help stimulate
interest in the study of Mathematics.
The author had excellent grades in the Senior Secondary School
Certificate Examinations {SSSCE} with Aggregate A in both Core and Elective
Mathematics.
He furthered his education and graduated with a Bachelor of Science
degree in Mathematics {Bsc Mathematics} from the Kwame Nkrumah University of
Science and Technology (KNUST), Ghana.
Senior High School Core Mathematics - ‘A’ PLUS (A+) Series
CONTENT
CHAPTER PAGE
1. Real Numbers …………………………………1 – 8
2. Simple Algebraic Expressions ………………...9 – 25
3. Modular Arithmetic …………………………...26 – 32
4. Surd …………………………………………... 33 – 42
5. Numeration system (number Bases) …………43 – 55
6. Equations and Inequalities ……………………56 – 82
7. Sets and Logical reasoning …………………...83 – 103
8. Indices and Logarithms ………………………104 – 121
9. Binary Operations …………………………....122 – 126
10. Fractions, Decimals and Approximations …..127 – 143
11. Change of Subject and Simultaneous Equations...............................................................144 – 167
12. Variation …………………………………….168 – 179
13. Polygons ……………………………………..180 – 182
14. Quadratic Equations ………...........................183 – 197
15. Units of Measurement……………………....198 – 208
16. Business Mathematics ……………………...209 – 254
17. Graphs of functions …………………………255 – 277
18. Straight lines ………………………………...278 – 283
19. Mensuration ………………………………...284 – 341
20. Trigonometry ………………………………..342 – 358
21. Constructions ………………………………..359 – 376
22. Vectors ……………………………………....377 – 392
23. Pie Chart …………………………………….393 – 399
24. Bearings ……………………………………..400 – 407
25. Probability …………………………………...408 – 420
26. Mappings ……………………………………421 – 424
27. Transformation ……………………………...425 – 457
28. Statistics ……………………………………..458 – 493
29. Sequence …………………………………….494 – 501
30. Global Mathematics…………………………502 – 512
31. Solved Theory and Objective Questions…....513 – 535
32. Try Objective Test Questions ……………....536 – 555
Introduction: Numbers are used in various mathematical computations.
Some array of numbers can be distinguished from other groups. Example;
{2, 4, 6, 8, ---} and {1, 3, 5, 7 ---} belong to two distinct groups. Likewise
{---, -4, -3, -2, -1} and {0, 1, 2, 3, 4, ---}.
It is therefore essential students realize with ease the various classes of
numbers and how to sort them accordingly. Now consider the various
group described below:
