Revision Note - Math
Factor Theorem
- If $f(x)$ is divisible by $(x-a)$, where $a$ is a real number
Fibonacci Sequence
The sequence of numbers $1$, $1$, $2$, $3$, $5$, $8$, $13$, $… Read
Geometric Sequences
Let $T(1)$, $T(2)$, …, $T(n)$ be an geometric sequen… Read
Growth and Decay
Denote $O$ and $N$ the old value and new value respectively, … Read
Index of Earthquakes – the Richter Scale
The relation between the magnitude ($M$) of an earthquake a… Read
Inter-quartile Range
Let $Q_3$ and $Q_1$ be the upper and lower quartile respecti… Read
Interior Angle and Exterior of Polygon
- Angle sum of polygon
Angle sum of $n$-gon $=(n-2)\times180
Inverse Variation
If $y \propto \frac{1}{x}$ (i.e. $y$ varies inversely as $x… Read
Joint Variation
If $y$ varies directly as $x$ and inversely as $z$, then we ha… Read
Laws of Indices
For any real numbers $a$, $b$ and $c$, any rational numbers $… Read
Laws of Logarithm
For any positive real numbers $a$, $b$ and $c$, any rational … Read
Measurement of Sound
The relation between the loudness ($D$ dB) of a sound and the … Read
Mid-point Formula
For two points $A(x_1,y_1)$ and $B(x_2,y_2)$, the coordin… Read