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HKDSE-MATH

2023-II-09

Ans: A

Since $h(x)$ is divisible by $2x-3$, we have

$\begin{

… Read
2023

2023-II-10

Ans: D

A is not true. Rewrite the equation of the graph to the g

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2023

2023-II-11

Ans: B

Let $\$ x$ be the cost of the jacket. Then the marked pri

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2023

2023-II-12

Ans: D

$\begin{array}{cl}
& \text{length on the map}

… Read
2023

2023-II-13

Ans: B

Let $z=kx^2\sqrt[3]{y}$, where $k\neq 0$.

When $x=1

… Read
2023

2023-II-14

Ans: B

$\begin{array}{rcl}
a_8 & = & a_7 +a_6 \\
6

… Read
2023

2023-II-15

Ans: A

Let $r\text{ cm}$ and $h\text{ cm}$ be the base radius

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2023

2023-II-16

Ans: D

Denote the centre of the larger circle by $O$.

Since $A

… Read
2023

2023-II-17

Ans: B

Join $R$ and $X$. Let $PX:XQ =r:1$, where $r0$.

Since $

… Read
2023

2023-II-18

Ans: A

Denote the vertex by $A$, $B$, $C$, $D$ and $E$ as shown

… Read
2023

2023-II-19

Ans: C

I may not be true. By the definition of rhombus, $AB=BC

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2023

2023-II-20

Ans: A

Since $ABCD$ is a square, $\angle BAD=90^\circ$.

Sin

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2023

2023-II-21

Ans: C

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

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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

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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

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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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