Skip to content
  • Home
  • 中文 (香港)
Solving Master

Solving Master

Resources for HKDSE Mathematics

  • Revision Note
    • Math
      • Number and Algebra
        • Complex Number
        • Errors and Estimations
        • Exponential and Logarithm
        • Identities
        • Inequalities
        • Percentage
        • Polynomials
        • Quadratic Equation and Function
        • Sequences
        • Variations
      • Measures, Shape and Space
        • Coordinates
        • Lines and Angles
        • Mensuration
        • Properties of Circle
        • Quadrilaterals
        • Transformations
        • Triangles
        • Trigonometry
      • Data Handling
        • Probability
        • Statistics
    • M2
      • Mathematical Induction
      • Binomial Theorem
      • Trigonometry (M2)
  • HKDSE-MATH
    • 2023
      • Paper 1
      • Paper 2
    • 2022
      • Paper 1
      • Paper 2
    • 2021
      • Paper 1
      • Paper 2
    • 2020
      • Paper 1
      • Paper 2
    • 2019
      • Paper 1
      • Paper 2
    • 2018
      • Paper 1
      • Paper 2
    • 2017
      • Paper 1
      • Paper 2
    • 2016
      • Paper 1
      • Paper 2
    • 2015
      • Paper 1
      • Paper 2
    • 2014
      • Paper 1
      • Paper 2
    • 2013
      • Paper 1
      • Paper 2
    • 2012
      • Paper 1
      • Paper 2
    • 2012PP
      • Paper 1
      • Paper 2
    • 2011SP
      • Paper 1
      • Paper 2
  • HKDSE-M2
    • 2023
    • 2022
    • 2021
    • 2020
  • HKCEE
    • 2011
      • Paper 1
      • Paper 2
    • 2010
      • Paper 1
      • Paper 2
    • 2009
      • Paper 1
      • Paper 2
    • 2008
      • Paper 1
      • Paper 2
    • 2007
      • Paper 1
      • Paper 2
    • 2006
      • Paper 1
      • Paper 2
  • Other Resources
  • Toggle search form

HKCEE

2009-II-31

Ans: B
Let $(x,y)$ be the coordinates of $P$.

$\begin{array

… Read
2009

2009-II-32

Ans: A
Note that the slope of $L$

$\begin{array}{cl}
= &

… Read
2009

2009-II-33

Ans: D
According to the slope-intercept form, the slope and
… Read
2009

2009-II-34

Ans: C
The required probability

$\begin{array}{cl}
= 

… Read
2009

2009-II-35

Ans: C
Let $x\text{ cm}$ be the mean height of the boys. Hence
… Read
2009

2009-II-36

Ans: C
I is false. The range

$\begin{array}{cl}
= & 36 &

… Read
2009

2009-II-37

Ans: D
Note that $y=g(x) = \frac{1}{3} f(x)$. Therefore, $g
… Read
2009

2009-II-38

Ans: C
$\begin{array}{cl}
& 1234^{3235} \\
\approx &
… Read
2009

2009-II-39

Ans: D

Let $f(x) = 3^x$. The above figure is the graph of $y=f(

… Read
2009

2009-II-40

Ans: D
$\begin{array}{cl}
& 16^{12} + 14 \\
= & 1 \
… Read
2009

2009-II-41

Ans: A
Let $f(x) = x^{2009} + x^{2008} + \cdots + x$. Hence, th
… Read
2009

2009-II-42

Ans: B
Let $S(n) = n^2 + 2n$. Then the 5th term of the sequence

$

… Read
2009

2009-II-43

Ans: A
Let $r$ be the common ratio of the geometric sequence.
… Read
2009

2009-II-44

Ans: A
Consider $y=x-9$. Note that the slope is $1$, which is
… Read
2009

2009-II-45

Ans: B
$\begin{array}{rcl}
\cos^2 x – \sin^2 x &
… Read
2009

2009-II-46

Ans: C
Consider $y=a\sin(x^\circ + \theta)$.

For $a1$, $y=

… Read
2009

2009-II-47

Ans: B

Let $N$ be the mid-point of $HG$. Then the angle betwee

… Read
2009

2009-II-48

Ans: B

Join $AD$. Since $AB$ is a diameter of the circle $ABCD

… Read
2009

2009-II-49

Ans: C
Let $\angle CBD = x$. Since $A$, $B$, $C$ and $D$ are fou
… Read
2009

2009-II-50

Ans: C

Denote $O$ the centre of the circle. Add a perpendicul

… Read
2009

Posts pagination

Previous 1 … 13 14 15 … 22 Next

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)

Copyright © 2026 Solving Master.

Powered by PressBook Grid Blogs theme