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HKDSE-MATH - 2023 - Paper 2

2023-II-21

Ans: C

A is not true. Consider $\Delta RTV$. It is given that $

… Read
2023

2023-II-22

Ans: B

Let $\angle TSU =x$. In $\Delta STU$, we have

$\begin{

… Read
2023

2023-II-23

Ans: D

In $\Delta ABE$,

$\begin{array}{rcll}
\angle AEB &#

… Read
2023

2023-II-24

Ans: C

Denote the image of $P$ by $P’$.

Note that the re

… Read
2023

2023-II-25

Ans: A

Note that the slope of the straight line $2x+(a+3)y-5

… Read
2023

2023-II-26

Ans: B

I is true. Note that the slopes of $\ell$ and $L$ are the

… Read
2023

2023-II-27

Ans: C

I is not true. Note that the coordinates of $G_1$ and $G

… Read
2023

2023-II-28

Ans: D

The following table is the sample space.

$\begin{arr

… Read
2023

2023-II-29

Ans: C

Note that the upper quartile of the distribution is th

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2023

2023-II-30

Ans: A

The mean salary

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

… Read
2023

2023-II-31

Ans: B

$\begin{array}{cl}
& 1011001011001011_2 \\
=

… Read
2023

2023-II-32

Ans: D

Among the three expressions, the highest powers of $a

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2023

2023-II-33

Ans: A

By the intercepts form of equation of straight line, w

… Read
2023

2023-II-34

Ans: B

$\begin{array}{cl}
& \dfrac{i}{k-i}+\dfrac

… Read
2023

2023-II-35

Ans: D

Rewrite the function of the graph to vertex form, we ha

… Read
2023

2023-II-36

Ans: B

Let $a$ and $d$ be the first term and the common differe

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2023

2023-II-37

Ans: D

Consider the simultaneous equations

$\left\{ \begi

… Read
2023

2023-II-38

Ans: C

Join $P$ and $R$.

Since $SU$ and $ST$ are tangent to the

… Read
2023

2023-II-39

Ans: A

Note that $(1,0)$ lies on $hx+ky=6$, we have

$\begin{

… Read
2023

2023-II-40

Ans: A

Add a point $X$ on $VB$ such that $AX\perp VB$ and $CX\p

… Read
2023

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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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