Math Blog

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Additional Math – Trigonometry – The most challenging question we came across – mid year 2019 Exam

By |2019-05-16T13:06:55+08:00May 16th, 2019|A-Math - Trigonometry|

While preparing students for the mid year exam 2019, I stumbled upon a very challenging question, I have never came [...]

Elementary Math – Algebra – Factorize Algebraic Fractions

By |2019-04-04T13:04:36+08:00April 4th, 2019|E-Math - Algebra|

  Rearrange the algebraic expression and use the special product rule $latex \displaystyle {{a}^{2}}+2ab+{{b}^{2}}={{(a+b)}^{2}}$ $latex \displaystyle \frac{{{{x}^{2}}+2xy+{{y}^{2}}-{{z}^{2}}}}{{{{x}^{2}}-{{y}^{2}}-2yz-{{z}^{2}}}}$ Factorize out the [...]

Additional Math – Surds – Circles – Find the unknown integer a and b

By |2019-02-23T22:41:20+08:00February 23rd, 2019|A-Math - Surds|

$latex \displaystyle \sqrt{{a+b\sqrt{3}}}=\frac{{13}}{{4+\sqrt{3}}}$ Square both sides of the equation. $latex \displaystyle {{\left[ {\sqrt{{a+b\sqrt{3}}}} \right]}^{2}}={{\left[ {\frac{{13}}{{4+\sqrt{3}}}} \right]}^{2}}$ Expand and simplify the [...]

Additional Math – Coordinate Geometry – Circles – Finding the centre and radius by drawing .

By |2019-02-02T23:41:30+08:00January 25th, 2019|A-Math - Coordinate Geometry, Textbook - Additional Math 360|

Normally we are expected to use formulas and a series of calculations to find the equation of the circle.  However [...]