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Resources for HKDSE Mathematics

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Revision Note

Centres of Triangle

  1. Centroid of triangle

    Property: The three medians intersec

… Read
Math

Chords

  1. Perpendicular line from the centre to chord bisects chord.
… Read
Math

Circle

For a circle with radius $r$.

  1. Circumference $=2\pi r$
  2. Area o
… Read
Math

Circular Cylinder

For a circular cylinder with base radius $r$ and height $h$.… Read

Math

Combinations

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

Data Handling

Complementary Events

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

Data Handling

Condition for Isosceles Triangle

Condition: $a=b$

Reference: sides opp. eq. $\angle$s… Read

Math

Condition for Right-angled Triangle

Condition: $a^2+b^2=c^2$

Result: The triangle is a right-… Read

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

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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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