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Resources for HKDSE Mathematics

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Revision Note

Interior Angle and Exterior of Polygon

  1. Angle sum of polygon

    Angle sum of $n$-gon $=(n-2)\times180

… Read
Math

Inverse Variation

If $y \propto \frac{1}{x}$ (i.e. $y$ varies inversely as $x… Read

Math

Joint Variation

If $y$ varies directly as $x$ and inversely as $z$, then we ha… Read

Math

Kites

  1. Definition: A quadrilateral with two pairs of equal sides.
… Read
Math

Laws of Indices

For any real numbers $a$, $b$ and $c$, any rational numbers $… Read

Exponential and Logarithm

Laws of Logarithm

For any positive real numbers $a$, $b$ and $c$, any rational … Read

Exponential and Logarithm

Measurement of Sound

The relation between the loudness ($D$ dB) of a sound and the … Read

Exponential and Logarithm

Mid-point Formula

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

Coordinates

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

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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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