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Revision Note - Math

Mid-point Theorem

Condition: $AD=DB$ and $AE=EC$

Result: $DE//BC$ and $BC=2… Read

Math

Multiplicative Law

Let $E$ and $F$ be two events.

  1. If $E$ and $F$ are independent e
… Read
Data Handling

Mutually Exclusive Events

Let $E$ and $F$ be two events. If $E$ and $F$ are mutually excl… Read

Data Handling

Normal Distribution

  1. The mean, the median and the mode are the same.
  2. The curve is be
… Read
Data Handling

Parallelograms

  1. Definition: A quadrilateral with two pairs of parallel sid
… Read
Math

Partial Variation

If $y$ is the sum of two parts, one part varies inversely as $x… Read

Math

Percentage Changed

  1. Percentage increase $=\dfrac{\mbox{New value}-\mbox{O
… Read
Math

Permutations

For $n$ different objects, if we select $r$ objects out of th… Read

Data Handling

Prism

  1. Lateral surface area $=$ base perimeter $\times$ height
  2. Vo
… Read
Math

Profit and Loss

  1. Profit $=$ Selling price $-$ Cost
  2. Profit percentage

    $= \dfr

… Read
Math

Properties of Congruent Triangles

  1. Corresponding sides

    Condition: $\Delta ABC \cong \Delta X

… Read
Math

Properties of Parallel Lines

  1. Corresponding angles

    Result: $a=b$

    Reference: corr. $\an

… Read
Lines and Angles

Properties of Similar Triangles

  1. Corresponding sides

    Condition: $\Delta ABC\sim\Delta XY

… Read
Math

Properties of Slope

  1. Parallel

    For two straight lines $\ell_1$ and $\ell_2$ with

… Read
Coordinates

Pyramid

  1. Volume $=\dfrac{1}{3}\times$ base area $\times$ height
… Read
Math

Pythagorus Theorem

Condition: Right-angled triangle

Result: $a^2+b^2=c^2$… Read

Math

Quadratic Formula

For quadratic equation $ax^2+bx+c=0$, where $a$, $b$ and $… Read

Math

Quadratic Inequality

For any real numbers $\alpha$ and $\beta$, $\alpha<\beta$.

  1. If $(x-\
… Read
Inequalities

Range

\begin{equation*}
\mbox{Range }=\mbox{the largest data … Read

Data Handling

Rectangles

  1. Definition: A quadrilateral with four equal interior angl
… Read
Math

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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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