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Resources for HKDSE Mathematics

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Revision Note

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

Reflections of $y=f(x)$

  1. For the function $y=f(-x)$, the graph of $y=f(x)$ reflects
… Read
Math

Remainder Theorem

  1. If $f(x)$ is divided by $(x-a)$, where $a$ is a real number, t
… Read
Math

Rhombuses

  1. Definition: A quadrilateral with four equal sides.
  2. Proper
… Read
Math

Section Formula

For two points $A(x_1,y_1)$ and $B(x_2,y_2)$, and $P$ is a p… Read

Coordinates

Sector

For a sector with radius $r$ and the angle at centre $\theta$… Read

Math

Similar Solids

Let $\ell_1$ and $\ell_2$ be two corresponding sides of the … Read

Math

Sine Law

\begin{equation*}
\frac{a}{\sin A}=\frac{b}{\sin B}=\… Read

Math

Slope

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

Coordinates

Sphere

For a sphere with radius $r$.

  1. Surface area $=4\pi r^2$
  2. Volum
… Read
Math

Square Numbers

The sequence of numbers $1$, $4$, $9$, $16$, $25$, $36$, $49… Read

Math

Squares

  1. Definition: A quadrilateral with four equal sides and four
… Read
Math

Standard Deviation

Let $\{x_1,~x_2,~\ldots,x_n\}$ be a set of data.

  1. The mean
    \
… 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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