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HKDSE-MATH

2022-II-13

Ans: B

Let $u=\dfrac{k\sqrt{v}}{w}$, where $k\neq 0$.

I is

… Read
2022

2022-II-14

Ans: C

$\begin{array}{rcl}
T(1) & = & 8 \\
T(2) &#

… Read
2022

2022-II-15

Ans: A

Let $r\text{ cm}$ be the radius of the the hemisphere.

… Read
2022

2022-II-16

Ans: D

Let $O$ be the centre of the circle. $A$ and $B$ be the en

… Read
2022

2022-II-17

Ans: B

Join $PN$.

Let $x\text{ cm}^2$ be the area of $\Delta M

… Read
2022

2022-II-18

Ans: C

Since $ABCD$ is a rectangle, then we have

$\begin{arr

… Read
2022

2022-II-19

Ans: D

In $\Delta ABD$ and $\Delta CAE$,

$\begin{array}{rc

… Read
2022

2022-II-20

Ans: B

Denote the four vertices by $A$, $B$, $C$ and $D$ as sho

… Read
2022

2022-II-21

Ans: B

Join $OA$.

$\begin{array}{rcll}
\angle CAB & =

… Read
2022

2022-II-22

Ans: C

Join $AE$. Since $\angle ABE = 90^\circ$ and $ABED$ is

… Read
2022

2022-II-23

Ans: C

Sketch the figure according to the question.

Since $P

… Read
2022

2022-II-24

Ans: A
Rewrite the equation into slope intercept form, we ha
… Read
2022

2022-II-25

Ans: D

Note that the rectangular coordinates of the image $Q

… Read
2022

2022-II-26

Ans: A

Note that the $x$- and $y$-intercepts of the $12x-5y=

… Read
2022

2022-II-27

Ans: C

Let $x^2+y^2+Dx+Ey+F=0$ be the equation of $C$. Sinc

… Read
2022

2022-II-28

Ans: D

Since only $532$ is divisible by $7$. Then the require

… Read
2022

2022-II-29

Ans: A

Let $x\text{ kg}$ be the mean weight of the actresses.

… Read
2022

2022-II-30

Ans: B

Since the median of the integers is $6$, then $x \ge 6$.

… Read
2022

2022-II-31

Ans: C

$\begin{array}{rcl}
\log (-345)^{768} & = �

… Read
2022

2022-II-32

Ans: C

By intercepts form, we have

$\begin{array}{rcl}
\df

… Read
2022

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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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