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Revision Note - Math

Conditional Probability

Let $E$ and $F$ be two events.
\begin{equation*}
P(F|E)=\f… Read

Data Handling

Conditions for Congruent Triangles

  1. Three corresponding sides equal
     

    Condition: $AB=PQ$, $BC=

… Read
Math

Conditions for Parallel Lines

  1. Corresponding angles equal

    Condition: $a=b$

    Reference: c

… Read
Lines and Angles

Conditions for Parallelogram

  1. Two pairs of opposite sides equal.

    Reference: opp. sides eq

… Read
Math

Conditions for Similar Triangles

  1. Three corresponding angles equal

    Condition: $\angle A=\a

… Read
Math

Cone

For a cone with base radius $r$, height $h$ and slant height $… Read

Math

Coordinates of the Centroid

For a triangle with vertexes $A(x_1,y_1)$, $B(x_2,y_2)$ a… Read

Coordinates

Cosine Law

\begin{equation*}
a^2=b^2+c^2-2bc\cos A
\end{equation… Read

Math

Cyclic Quadrilateral

  1. A pair of opposite angles of cyclic quadrilateral are suppl
… Read
Math

Direct Variation

If $y \propto x$ (i.e. $y$ varies directly as $x$), then we ha… Read

Math

Discriminant

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

Math

Distance Formula

For two points $A(x_1,y_1)$ and $B(x_2,y_2)$, the distanc… Read

Coordinates

Division Algorithm

When $f(x)$ is divided by $d(x)$, if the quotient is $Q(x)$ a… Read

Math

Enlargement of $y=f(x)$

For the function $y=f(ax)$.

  1. If $a 1$, the graph of $y=f(x)$ c
… Read
Math

Equations of Circle

  1. Standard form

    For a circle $\mathscr{C}$ with centre $(h,k

… Read
Coordinates

Equations of Straight Line

  1. Point slope form

    For a straight line $\ell$ with slope $m$ an

… Read
Coordinates

Errors

  1. For known actual value.
    1. Absolute error $=$ Actual value $-$
… Read
Errors and Estimations

Estimations

  1. Round up
    1. $12345 \approx 12350$ (rounding up to 4 sig. fig.)
    2. $
… Read
Errors and Estimations

Expectation

For an event with $n$ possible outcomes, each outcome corre… Read

Data Handling

Experimental Probability

Let $E$ be an event in a certain experiment.
\begin{equatio… Read

Data Handling

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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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