JSS3 Mathematics

Noah · August 31, 2025

Scheme of Work and Curriculum
Matching Chart . . . . . . . . . . . . . . . . . . . . . . . . v

Chapter 1 Binary system:
Operations and applications . . . . . . . . . . . . . . . . . . . .8
1.1 Number bases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8
1.2 The binary system (revision) . . . . . . . . . . . . . . . . .10
1.3 Applications of the binary system . . . . . . . . . . . .13
Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16
Revision test 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16

Chapter 2 Word problems . . . . . . . . . . . . . . . . . . . . . . . . .17
2.1 Sum and difference . . . . . . . . . . . . . . . . . . . . . . . . .17
2.2 Product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18
2.3 Expressions with fractions . . . . . . . . . . . . . . . . . . . .19
2.4 From numbers to words . . . . . . . . . . . . . . . . . . . . . .20
2.5 Problems involving equations . . . . . . . . . . . . . . . . .21
Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .22
Revision test 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .22

Chapter 3 Factorisation I:
Common factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23
3.1 Removing brackets (revision) . . . . . . . . . . . . . . . . .23
3.2 Common factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23
3.3 Using factorisation to simplify
calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .25
3.4 Factorisation by grouping . . . . . . . . . . . . . . . . . . . . . . .26
Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .29
Revision test 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .29

Chapter 4 Geometrical constructions . . . . . . . . . . . . . . . . .30
4.1 To bisect a straight line segment . . . . . . . . . . . . . .30
4.2 To bisect any angle . . . . . . . . . . . . . . . . . . . . . . . . . . . .32
4.3 To construct angles of 90° and 45° . . . . . . . . . . . . .33
4.4 To construct angles of 60° and 30° . . . . . . . . . . . . .34
4.5 To copy any angle . . . . . . . . . . . . . . . . . . . . . . . . . . . . .35
4.6 Construction of simple shapes . . . . . . . . . . . . . . . . .37
Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .39
Revision test 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .39

Chapter 5 Area of plane shapes . . . . . . . . . . . . . . . . . . . . .40
5.1 Area of basic shapes . . . . . . . . . . . . . . . . . . . . . . . . . . . .40
5.2 Area of trapezium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .41
5.3 Circles, rings and sectors . . . . . . . . . . . . . . . . . . . . . . . .42
5.4 Area in the home and environment . . . . . . . . . . . .45
Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .47
Revision test 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .48

Chapter 6 Formulae:
Substitution; change of subject . . . . . . . . . . . . . . . . . . . .49
6.1 Formulae and substitution . . . . . . . . . . . . . . . . . . . . . .49


6.2 Change of subject……53
Summary……58
Revision test 6……58

Chapter 7 Similarity I:
Similar shapes and scale factor……59
7.1 Similarity……59
7.2 Similar triangles……61
7.3 Similar plane shapes and solids……68
7.4 Enlargement and scale factor……69
Summary……72
Revision test 7……72

Chapter 8 Trigonometry I:
Tangent of an angle……74
8.1 Tangent of an angle……74
8.2 Finding the tangent by measurement……74
8.3 Use of the tangent of an angle……76
8.4 Tangent tables……78
8.5 Applications to practical problems……80
Summary……82
Revision test 8……82

Revision exercises and tests I:
Chapters 1-8……83

Chapter 9 Factorisation 2:
Quadratic expressions……88
9.1 Expansion of algebraic expressions (revision)……88
9.2 Factorisation of quadratic expressions……90
9.3 Perfect squares……92
9.4 Difference of two squares……93
9.5 Calculations and word problems……94
Summary……96
Revision test 9……96

Chapter 10 Equations I: Equations with fractions……97
10.1 Clearing fractions (revision)……97
10.2 Fractions with unknowns in the denominator……97
10.3 Word problems involving fractions……98
10.4 Fractions with binomials in the denominator……100
Summary……104
Revision test 10……104

Chapter 11 Compound interest……105
11.1 Simple interest (revision)……105
11.2 Compound interest……106
Summary……109
Revision test 11……110

Chapter 12 Similarity 2: Area and volume of similar shapes……111
12.1 Areas of similar shapes……111
12.2 Volumes of similar shapes……113
Summary……115
Revision test 12……116

Chapter 13 Proportion: Direct; inverse; reciprocal……117
13.1 Direct and inverse proportion……117
13.2 Graphical representation……119
13.3 Reciprocals of numbers……122
Summary……127
Revision test 13……127

Chapter 14 Equations 2: Simultaneous linear equations……128
14.1 The graph of an equation……128
14.2 Simultaneous linear equations……130
14.3 Methods of substitution……131
14.4 Methods of elimination……133
14.5 Word problems……134
Summary……136
Revision test 14……137

Chapter 15 Trigonometry 2: Sine and cosine of angles……138
15.1 Sine and cosine……138
15.2 Use of sine and cosine……140
15.3 Using sine and cosine tables……141
15.4 Solving right-angles triangles……145
Summary……147
Revision test 15……147

Chapter 16 Everyday statistics……149
16.1 Presentation of data (revision)……149
16.2 Measures of central tendency (mean, median, mode)……151
16.3 Interpretation of averages……154
Summary……157
Revision test 16……157

Chapter 17 Rational and non-rational numbers……159
17.1 Rational and non-rational numbers……159
17.2 Square roots……160
17.3 Pi (π)……161
Summary……162
Revision test 17 ……162
Revision exercises and tests 2:
Chapters 9-17 ……163
Revision 1 Number and numeration and basic operations ……167
R1.1 Fractions, decimals, percentages, approximations ……167
R1.2 Ratio, rate, proportion ……169
R1.3 Standard form ……170
R1.4 Personal arithmetic (shopping, interest, tax) ……171
R1.5 Commercial arithmetic (profit and loss, discount, hire purchase, commission) ……172
R1.6 Number bases ……173
Revision 2 Algebroid processes ……175
R2.1 Use of letters ……175
R2.2 Linear equations and inequalities ……175
R2.3 Simplification, expansion, factorisation ……177
R2.4 Graphs of points and equations ……179
R2.5 Simultaneous equations ……180
R2.6 Formulae, substitution, variation ……181
Revision 3 Geometry and mensuration ……183
R3.1 Length, area, volume ……183
R3.2 Angles and constructions ……186
R3.3 Pythagoras, trigonometry ……188
R3.4 Similarity ……190
Revision 4 Everyday statistics and probability ……193
R4.1 Pictograms, bar charts, pie charts ……193
R4.2 Cost, travel and conversion graphs ……195
R4.3 Reading tables ……197
R4.4 Mean, median, mode, range, mixtures ……198
R4.5 Probability ……201
Course Revision Test ……203
JSCE Practice Examination ……209
Tables ……216
Answers ……226
Glossary ……253
Index ……261

Course Content

About Instructor

Noah

2 Courses

Not Enrolled
This course is currently closed

Course Includes

  • 18 Lessons
  • 65 Topics
  • 90 Quizzes