FREE GUIDE - S1-S4 Math Revision Notes

1 AGrader Learning Centre Discover the Ace in You Secondary 1 ..................................................................................................................................................... 4 Topic 1: Prime, Factors and Multiples .............................................................................................................. 4 Topic 2: Real Numbers ........................................................................................................................................... 5 Topic 3: Approximation and Estimation ......................................................................................................... 6 Topic 4: Basic Algebra and Algebraic Manipulations ................................................................................. 8 Topic 5: Linear Equations ................................................................................................................................... 10 Topic 6: Linear Functions and Graphs ............................................................................................................ 11 Topic 7: Number Patterns ................................................................................................................................... 12 Topic 8: Percentage ............................................................................................................................................... 13 Topic 9: Rate, Ratio and Speed .......................................................................................................................... 14 Topic 10: Basic Geometry ................................................................................................................................... 15 Topic 11: Polygons and Geometrical Constructions.................................................................................. 16 Topic 12: Perimeter and Area of Plane Figures .......................................................................................... 19 Topic 13: Volume and Surface Area of Prisms and Cylinders ................................................................ 21 Topic 14: Statistical Data Handling ................................................................................................................. 22 Secondary 2 .................................................................................................................................................. 24 Topic 1: Linear Graphs ......................................................................................................................................... 24 Topic 2: Simultaneous Linear Equations ....................................................................................................... 26 Topic 3: Linear Inequalities ............................................................................................................................... 27 Topic 4: Expansion of Algebraic Expression ................................................................................................ 29 Topic 5: Factorisation of Algebraic Expressions ........................................................................................ 30 Topic 6: Quadratic Equations and Graphs .................................................................................................... 31 Topic 7: Algebraic Fractions and Formulae ................................................................................................. 32 Topic 8: Direct and Inverse Proportions ....................................................................................................... 33 Topic 9: Congruence and Similarity ................................................................................................................ 34 Topic 10: Pythagoras’ Theorem ........................................................................................................................ 36 Topic 11: Trigonometric Ratios ........................................................................................................................ 37 Topic 12: Volume and Surface Area of Pyramids, Cones and Spheres ................................................ 38 Topic 13: Probability of Single Events ............................................................................................................ 39 Topic 14: Statistical Diagrams ........................................................................................................................... 40 Topic 15: Averages of Statistical Data ............................................................................................................ 41

2 AGrader Learning Centre Discover the Ace in You Secondary 3 - Emaths ................................ ................................ ................................ ................................ 42 Topic 1: Quadratic Equations ............................................................................................................................ 42 Topic 2: Simultaneous Linear Inequalities ................................................................................................... 44 Topic 3: Indices and Standard Form ............................................................................................................... 46 Topic 4: Coordinate Geometry .......................................................................................................................... 48 Topic 5: Graphs of Functions and Graphical Solution ............................................................................... 49 Topic 6: Further Trigonometry ......................................................................................................................... 53 Topic 7: Applications of Trigonometry .......................................................................................................... 54 Topic 8: Arc Length, Sector Area and Radian Measure............................................................................. 55 Topic 9: Congruence and Similarity Tests .................................................................................................... 56 Topic 10: Area and Volume of Similar Figures and Solids ...................................................................... 59 Topic 11: Geometrical Properties of Circles ................................................................................................ 60 Secondary 4 – Emaths ................................ ................................ ................................ ............................... 62 Topic 1: Set Notation and Language ................................................................................................................ 62 Topic 2: Statistical Data Analysis ..................................................................................................................... 63 Topic 3: Probability of Combined Events ...................................................................................................... 65 Topic 4: Matrices .................................................................................................................................................... 67 Topic 5: Vectors ...................................................................................................................................................... 69 Secondary 3 – Amaths ................................ ................................ ................................ ............................... 72 Topic 1: Non-Linear Simultaneous Equations ............................................................................................. 72 Topic 2: Quadratic Functions, Equations and Inequalities ..................................................................... 73 Topic 3: Surds ............................................