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HKDSE-MATH - 2022 - Paper 2

2022-II-01

Ans: D

$\begin{array}{cl}
& \alpha^2-\alpha-\beta

… Read
2022

2022-II-02

Ans: B

$\begin{array}{cl}
& \dfrac{81^{2n+3}}{(27

… Read
2022

2022-II-03

Ans: A

$\begin{array}{rcl}
(x+3)^2+mx & \equiv 

… Read
2022

2022-II-04

Ans: D

$\begin{array}{rcl}
(x-c)(x-4c) & = & (3

… Read
2022

2022-II-05

Ans: A

$\begin{array}{rcl}
\dfrac{2}{u} + \dfrac{3}{v} &

… Read
2022

2022-II-06

Ans: B

Note that the rounding method is rounding down. That m

… Read
2022

2022-II-07

Ans: A

$\left\{ \begin{array}{ll}
3y-5 < 5y +1 & \ldots \unicode{x2460} \\ 5y +1 \le 11 & \ldots \unicode{x2461} \end{array}\right.$

From $\unicode{x2

… Read
2022

2022-II-08

Ans: B

A may not be true. Note that $f(k) = k^2 -k +1$.

$\begin{

… Read
2022

2022-II-09

Ans: D

Since $g(x)$ is divisible by $x+2a$, we have

$\begin{

… Read
2022

2022-II-10

Ans: A

I is true. Rewrite the function of the graph into gener

… Read
2022

2022-II-11

Ans: C

The required interest

$\begin{array}{cl}
= & 8

… Read
2022

2022-II-12

Ans: C

Since $x:y=8:5$, then let $x=8k$ and $y=5k$, where $k

… Read
2022

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

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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

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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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