# Math Knowledge Checking

## Mathematics Topics

These are some of the topics that you might come across when learning the secondary school mathematics in Singapore or the JC H2 mathematics.

- Ratio, Rate, Proportion
- Inequalities
- Functions
- Sequence and series
- Partial fractions
- Coordinate geometry
- Ratio, Rate, Proportion
- HCF & LCM
- Algebraic Expansion
- Algebraic Factorization
- Law of Indices
- Simultaneous Equations
- Mensuration (Area)
- Coordinate Geometry – Distance, midpoint
- Gradient – Geometry Coordinate
- Equations of Lines – Coordinate Geometry
- Simplifying Algebraic Fractions
- Multiplying Algebraic Fractions
- Adding & Subtracting Algebraic Fractions
- Composite Functions
- Inverse Function
- Logarithms
- Trigonometric Identities
- Discriminant of Quadratic Equation
- Remainder Theorem
- Permutation & Combination
- Additional and Product of Probability
- Differentiation
- Integration
- Chain Rule
- Distance of a point from a line
- Centre and Radius of a circle
- The general vector form of the equation of a line
- The angle between two lines (Vector)
- Perpendicular distance from a point to a line (Vector)
- Standard Vector form equation of the plane
- The angle between two planes
- Angle between a line and a plane
- Complex Number
- Complex roots of quadratic equations
- Modulus and argument of complex number
- Products and quotients of complex numbers
- Graph Transformation
- Method of Solving Quadratics Inequalities

## Statistics Topics

Among the statistics topics below, some of them you will come across when studying JC H2 statistics while the other of them you are likely to encounter when you take statistics module in university,

- Sampling method
- Correlation between two variables
- Simple Linear Regression Analysis
- Simple Random Sampling Example
- Systematic Sampling Method
- Intercept of Simple Linear Regression
- Coefficient of Determination
- Independent Sample t-test
- Logistics Regression
- Nagelkerke R-Squared
- Fisher’s Exact Test
- Chi-Square Test of Independence

## About the Math Tutor – Dr Loo

I am a PhD holder with 8 years of teaching experience at secondary school and university. My expertises are mathematics, statistics, econometrics, finance and machine learning.

Currently I do provide consultation and private tuition in Singapore. For those who are looking for math tutor in Singapore or statistics tutor in Singapore, please feel free to contact me at +65-85483705 (SMS/Whatsapp/Telegram).

Some of the math tuition in Singapore I provide includes O-level math tuition and also JC Math Tuition (H1 Math Tuition & H2 Math Tuition). On the other hand, my statistics tuition in Singapore mostly focus on pre-university level until postgraduate level.