Teaching and Learning

- Mathematics is Fun!

- Additional Maths is Additional Fun !

- Pure Maths is Pure Fun!

New Module Maths is New Fun!

You may use any part of the files in this
site for teaching or learning purposes,
and for non-commercial use.

Q.C.Past Papers

Yellow Dragon Articles

1985 An Extension of Extended Partial Fraction Theorem

1986 Vandermondedeterminant with higher degree

2007 Simply Logic and Numbers

2008 When vectors shoot at the Centres of a Triangle

2009 Cream Cake Fight

Easier Intermediate Harder
A paradox in using percentages LCM x HCF = Product of numbers? Integrate 1/(x^3+1) and 1/(x^4+1)
Find the mistake in an inequality problem Pascal Formula for Binomial Coefficient

Pivot method for solving system of linear equations and an interesting mistake

Positive Integral solution of the Lens Formula

A probability worksheet

Envelope
Volume of Frustum Using quadratics to find the range of some rational functions nth power of a matrix and Binet Formula for Fibonacci Sequence
Different Nets Solve a sin x +b cos x = c An improper integral
and an infinite series
On Logarithm Harder area problems Birthday Paradox　 (excel)
Some questions on Square and Cube Formulae Elementary Techniques in differentiation from the First Principle An area problem revisited
A problem on complex root of quadratic equation Some harder examples of subsidiary angle form in trigonometry Points of inflection
Geometric construction of square root of a positive integer Use Limit to find the area and circumference of a circle Discussions on a Mathematical Induction problem
Surd equations Discussion on two small problems in A. Math. Mock Exam , 2009 Matrix Quiz
Using completing square to simplify surds Quotient Rule Song A small determinant problem
Binary, Quaternary, Octary, Denary and Hexadecimal number systems Cowboy Probability A Hyperbola in complex plane ?
Illegal Operation Fun A small problem in probability Complex locus of a circle
A small infinite geometric series problem Disappeared circle Harder applications in Heron's formula
A question on Straight line A mistake in finding min. in quadratic function A good series
Pirates of the Caribbean Mistake in a Vector Problem A harder quadratic problem
Signs of complete square Mathematical Induction Difference method for some finite algebraic series
A Trigonometry Mistake The optimal bond angle of Methane
Positive Roots of Quadratic Equations A divisibility problem

 

 Factorization using cross multiplication method If or only if

 

   Mistake in a Vector Problem
    A small binomial theorem problem