Mathematics
Questions AND
Answers
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TABLE OF CONTENTS
PAGE
CHAPTER 1.............................................................................................................7
Arithmetic..................................................................................................................7
CHAPTER 2..........................................................................................................31
NUMBER SYSTEMS, NUMBER BASES..........................................................................................................................31
CHAPTER 3..........................................................................................................36
QUADRATIC EXPRESSIONS.........................................................................................................................................36
CHAPTER 4..........................................................................................................50
INEQUALITIES ............................................................................................................................................................50
CHAPTER 5..........................................................................................................56
VARIATION ................................................................................................................................................................56
CHAPTER 6..........................................................................................................82
MATRICES...............................................................................................................................................................82
SIMPLIFY THE FOLLOWING MATRICES........................................................................................................................82
CHAPTER 7..........................................................................................................97
FORMULAE AND SUBSTITUTION.................................................................................................................................97
CHAPTER 8........................................................................................................110
CHAPTER 9........................................................................................................116
VECTORS..................................................................................................................................................................125
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CHAPTER 10......................................................................................................137
FACTORISATION AND SIMPLIFICATION.......................................................................................................137
CHAPTER 11.......................................................................................................149
THE SINE RULE....................................................................................................................................................149
CHAPTER 12......................................................................................................163
CONSTRUCTION AND LOG ...............................................................................................................................163
CHAPTER 13......................................................................................................179
COSINE RULE.......................................................................................................................................................179
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CHAPTER 1
Arithmetic
Question 1
1. Simplify the following
132
(a)
245
(b) 2 3 2 8
4 3 12
c) 2 of12 2 of 31
3 7 5 3
Solution
NB: When two or more operations are given in a problem, use
B - Brackets
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
M-Multiplication
(a) 1 3 2 = 1 2 3
2 4 5 2 5 4
=