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Revision Note

1. Definition of Summation Notation

If $m$ and $n$ are integers and $m\le n$, then

$$\dsum_{r=m}… Read

M2

1. Definitions

For any real numbers $a$, $b$, $c$ and $d$. Let $z=a+bi$, whe… Read

Complex Number

1. Permutation and Combination

  1. Factorial For $n$ different objects, if we have a queue of al
… Read
Binomial Theorem

1. Radian Measure

  1. Definition of Radian The measure of an angle subtended at th
… Read
M2

2. Basic Operations of Complex Number

For $i^2=-1$ and any real numbers $a$, $b$, $c$ and $d$.

  1. Addi
… Read
Complex Number

2. Properties of Combination

For any non-negative integers $n$ and $r$, where $0 \le r < n$,

  1. $C^
… Read

Binomial Theorem

2. Properties of Summation Notation

If $k$ is a constant, $m$, $n$ and $p$ are integers and $m \le n … Read

M2

2. The Six Trigonometric Functions

  1. Definition Let $P(x,y)$ be a point on the rectangular coord
… Read
M2

3. Binomial Theorem

If $n$ is a positive integer and $0 \le r \le n$, then

$$\begin… Read

Binomial Theorem

3. Principle of Mathematical Induction

A proposition $P(n)$ is true for all positive integers $n$ (… Read

M2

Addition Law

Let $E$ and $F$ be two events.
\begin{equation*}
P(E\mbox{ … Read

Data Handling

Adjacent Angles on a Straight Line

Result: $a+b=180^\circ$

Reference: adj. $\angle$s on a st… Read

Lines and Angles

Angle Sum of Triangle

Result: $a+b+c=180^\circ$

Reference: $\angle$ sum of $\D… Read

Math

Angles at a Point

Result: $a+b+c+d=360^\circ$

Reference: $\angle$s at a pt… Read

Lines and Angles

Angles at the Centre

  1. Equal arcs imply the angles at the centre equal.

    Condition:

… Read
Math

Angles at the Circumference

  1. The angle at centre is twice the corresponding angle at circ
… Read
Math

Area of Triangle

  1. Area $=\dfrac{1}{2}\times$ base $\times$ height
  2. Area $=\
… Read
Math

Arithmetic Sequences

Let $T(1)$, $T(2)$, …, $T(n)$ be an arithmetic seque… Read

Math

Base Angles of Isosceles Triangle

Result: $a=b$

Reference: base $\angle$s, isos. $\Delta$… Read

Math

Basic Laws of Inequality

For any real numbers $a$, $b$ and $c$.

  1. Transition law

    If $ab$

… Read
Inequalities

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Topic Cloud

3D Problems (41) Basic Functions (13) Basic Geometry (68) Binomial Theorem (7) Change of Subject (32) Complex Numbers (16) Coordinates (46) Differentiation (16) Equations of Circle (54) Equations of Straight Line (43) Estimations and Errors (35) Factorization (39) Graph of Functions (3) Inequality (39) Integration (15) Laws of Indices (43) Linear Programming (21) Locus (13) Logarithm (34) Mathematical Induction (7) Matrices (4) Mensuration (98) Numeral System (19) Percentage (42) Polynomials (49) Probability (85) Properties of Circles (56) Quadratic Equations and Functions (57) Rate and Ratio (30) Rational Functions (20) Sequences (66) Simultaneous Linear Equations (27) Statistics (122) System of Linear Equations (3) Transformations (44) Trigonometry (M2) (7) Trigonometry and Its Applications (67) Variations (38) Vectors (3)

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