- Estimation (Round off | Round up | Round down)
- Errors
- Base Conversion (Decimels | Binary numbers | Hexadecimels)
- Introduction of Number system
- recurring decimals to fraction
- Rationalization
- Complex number
- Quadratic Equation - Solving Methods
- Vertex
- Completing square
- Quadratic formula
- Origin of quadratic equation
- Quadratic curve vs. straight line
- Discriminant
- relationship between roots & coefficient
- Form new quadratic equation
- Concept of function
- odd, even function
- Quadratic curve
- Greatest, least value
- Index
- Special number
- Index + quadratic
LOG
- Errors
- logarithm
- Log - greatest
- Graph of exp, log function
- Log - Richter Magnitude scale
- Log - Levels of Decibel
- Log - greatest
- More about graph (Transformation)
- Pythagorean Theorem
- sin, cos, tan
- Special Angle
- Quadrant (ASTC) Part 1
- Quadrant (ASTC) Part 2
- Quadrant (ASTC) Part 3
- trigonometric formula
- Trigonometric graph
- Trigonometric range
- Basic 2D rule
- MC: angles on Parallel line
- Rhombus
- Regular pentagon
- bisect vs. angle bisect
- push line
- pen rotation
- Push angle
- elevation vs. depression
- bearing
- Area of triangle
- sin law
- cos law
- sin, cos, tan
Mensuration
- Mensuration - sector vs. segment
- Mensuration - chord vs. arc
- Mensuration - conical cone
- Mensuration - segment
- Mensuration - Area of triangle
- Mensuration - Area of triangle ratio
- Mensuration - Area & Ratio tips
- Mensuration - Similar triangles
- Mensuration - similar X same height ***
- Mensuration - similar 3D
- Mensuration - chord vs. arc
3D
- Rectangular coordinates vs. polar coordinates
- Point of division
- Distance formula
- Slope
- Equation of straight line
- Parallel & Perpendicular line
- 2 equation 2 unknown
- Equation of straight line review
- Log graph <-> linear graph
- Point of division
Circle
- Locus - Equation of circle
- Equation of circle - General form
- Find centre, radius
- Equation of chord
- Find equation of circle
- using 3 points, find equation of circle
- using Tangent, find equation of circle
- is the point in / on / outside of circle?
- Intersection points of circle and line
- ⟂ distance between a point & a line
- Intersection points of circle and line review
- Equation of tangent at circle
- Find tangents from external point program
- relationship between 2 circle
- Chord change Tangent
- common tangent
- common chord
- 4 centres of circle
- centroid proof
- in-centre proof
- Equation of circle - General form
Locus
- Concept of locus
- Locus - Paper I Question type 1
- Locus - Paper I Question type 2
- Locus - Paper I Question type 3
- Locus - Paper I Question type 4 ***
- Locus - Paper I Question type 1
- Transformation & Symmetry
- Reflectional, Rotational symmetry
Probability
- Basic knowledge of Probability
- Probability by counting
- Probability - Add or multiple
- Probability - AND
- Probability - independent?
- Probability - Conditional Probability
- Probability - OR
- Probability - 3 sets formula
- Probability - mutually exhaustive
- Probability by counting
Probability Practice 1
- Probability Practice 1
- Probability - Letters 1
- Probability - dice throwing
- Review GS formula
- Prob X G.S.
- Russian Roulette
- Probability - independent?
- Probability - cards drawing
- Probability - venn diagram
- Probability - ball drawing
- Probability - X-digit number ***
- Probability - Statistics Problem
- Probability - Letters 1
- Factorial / nCr / nPr
- factorial
- development of nCr, nPr
- Probability Training
- Probability - Grouping
- Probability - Letter 2
- Probability - how many triangle?
- Probability - how many quadrilateral?
- Probability - how many intersection points?
- Probability - how many rectangles?
- Probability - Grouping 2
- Probability Practice 2
- More Probability Training
- More nCr / nPr Training
- Nonogram mathematics
- factorial
Statistics
- Introduction of Statistics
- Collecting data
- Calculator data input
- Central Tendency
- frequency vs. cumulative frequency
- standard deviation
- Interquartile range
- mean
- mode, median
- mean deviation
- population vs sample variance
- median, interquartile range
- range
- SD on frequency vs. cumulative frequency
- box-and-whisker diagram
- stem-and-leaf diagram
- normal distribution
- standard score
- Misuse
- Application
- Collecting data
AS / GS
- Introduction of sequence
- Arithmetic Sequence format
- Sum of Arithmetic Sequence Concept
- Arithmetic Sequence - dot pattern
- Sum of Arithmetic Sequence Practice
- Arithmetic Mean
- Arithmetic Mean 2nd meaning
- AS Advanced Training
- Introduction of Geometric Sequence
- nth term of Geometric Sequence
- common ratio of Geometric Sequence Practice
- 1st term of Geometric Sequence Practice
- Sum of Geometric sequence
- Sum to infinity Practice
- Logic of Sum to infinity
- Sum to infinity formula
- Geometric Mean
- Application of AS, GS
- Application of AS, GS Question format
- Application of AS, GS part 2
- Arithmetic Sequence format
Percentages
Further learning
properties of circle
- Properties of circle - vocabulary
- 4 centres
- Review angle & triangle
- Angle, triangle, polygon
- isos, right-angled, equilateral triangle
- Similar triangle
- Congruent triangle
- angle at centre twice angle at circumference
- angle in semi-circle
- opp. angles, cyclic quad.
- arcs proportional to angles
- chords of circle
- Angles in circles
- equal angles, equal arcs, equal chords
- Cyclic Quadrilaterals
- Keywords 1
- Practice
- review
- Centre perpendicular to Tangent
- 2 Tangents
- Keywords 2
- Practice 2
- Similar Triangle Proof
- mirror
- Review Properties of circle
- 4 centres
Rate / Ratio
- Rate, ratio introduction
- double trip's speed
- Circular track's speed
- Working time of 2 people
- cost of mixture
- Foreign exchange
- Unit conversion
- Map scale
- ratio of multiple items
- Ratio - speed comparison
- Ratio - student allocation
- double trip's speed
Variation
inequality
- Inequality - Basic rules
- Inequality - Number line
- Inequality Practice
- Triangle Inequality
- Inequality - range
- Quadratic inequality - introduction
- Inequality - discriminant
- Cubic inequality
- Inequality - Number line
Linear Programming
- Concept of Linear Programming
- Linear programming - draw & shaded
- Linear programming - shaded MCQ
- Linear programming - max, min MCQ
- Linear programming - max, min SQ
- Linear programming - Section B Question
- Linear programming - draw & shaded