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HKDSE-MATH - 2014

2014-II-02

Ans: A
$\begin{array}{cl}
& u^2 – v^2 -5u + 5v \\
… Read
2014

2014-II-03

Ans: B
$\begin{array}{rcl}
px(x-1)+x^2 & \equiv �
… Read
2014

2014-II-04

Ans: B
$\begin{array}{rcl}
x^2 + ax +a & = & 1 \\
x^
… Read
2014

2014-II-05

Ans: C
Note that the graph opens upwards, then $m>0$. Not
… Read
2014

2014-II-06

Ans: D
I may not be true. Suppose $a=3$ and $b=-6$. It is obvio
… Read
2014

2014-II-07

Ans: C
The compound inequality is equivalent to $-3x < 6$ and $6 < 2x$. Then, we have

$\begi

… Read
2014

2014-II-08

Ans: A
Let $\$x$ and $\$y$ be the price of a bowls and a cup resp
… Read
2014

2014-II-09

Ans: A
Let $x$ be the number of male workers.

Then the number o

… Read
2014

2014-II-10

Ans: C
Let $\theta$ and $r\text{ cm}$ be the angle and the rad
… Read
2014

2014-II-11

Ans: A
Note that the maximum absolute error is $0.5\text{ cm
… Read
2014

2014-II-12

Ans: D
The compound equation is equivalent to $\dfrac{4}{5
… Read
2014

2014-II-13

Ans: C
Let $z=\dfrac{ky^3}{x}$, where $k$ is a non-zero con
… Read
2014

2014-II-14

Ans: D
By the given formula, we have

$\left\{ \begin{array}

… Read
2014

2014-II-15

Ans: C
Since $BC=CD=DE$ and $\angle BCD = 90^\circ$, then $B
… Read
2014

2014-II-16

Ans: C
Consider $\Delta DAE$ and $\Delta DCG$,

$\begin{arr

… Read
2014

2014-II-17

Ans: D

$BD$ is produced and intersects $EC$ at $F$. Note that

… Read
2014

2014-II-18

Ans: A
In $\Delta ABC$, we have

$\begin{array}{rcl}
\tan \t

… Read
2014

2014-II-19

Ans: A
$\begin{array}{cl}
& (\cos(90^\circ+\theta
… Read
2014

2014-II-20

Ans: B

Join $CD$. Since $AC$ is a diameter, then $\angle ADC =

… Read
2014

2014-II-21

Ans: A
Since $AB=CD=EF$, then the distances between the cen
… Read
2014

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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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