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HKDSE-MATH

2021-II-17

Ans: B

I is true. Let $r\text{ cm}$ be the radius of the sector

… Read
2021

2021-II-18

Ans: B

In $\Delta CDE$,

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

… Read
2021

2021-II-19

Ans: D

I is true. Since $ABCD$ is a rectangle, then $AB\text{

… Read
2021

2021-II-20

Ans: C

Since $\Delta EBF \sim \Delta DAE$, then we have

$\beg

… Read
2021

2021-II-21

Ans: D

I is true.

$\begin{array}{rcl}
\angle ABC & = &#

… Read
2021

2021-II-22

Ans: A

$\begin{array}{rcll}
\angle ACD & = & 180

… Read
2021

2021-II-23

Ans: B

$P(7,-5)$ is reflected with respect to the $y$-axis t

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2021

2021-II-24

Ans: D

In $\Delta ACD$,

$\begin{array}{rcll}
\tan \theta &

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2021

2021-II-25

Ans: C

Let $(x,y)$ be the coordinates of $P$. Then the equati

… Read
2021

2021-II-26

Ans: A

Since $AP$ is a median of $\Delta ABC$, then $P$ is the m

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2021

2021-II-27

Ans: C

Let $C$ be the centre of the circle. Then the coordinat

… Read
2021

2021-II-28

Ans: D

Note that there are $24$ workers. Then the lower quart

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2021

2021-II-29

Ans: B

The inter-quartile range

$\begin{array}{cl}
= 

… Read
2021

2021-II-30

Ans: A

Let $\mu$ be the mean of the remaining $40$ integers.

$

… Read
2021

2021-II-31

Ans: A

$\begin{array}{rcl}
\text{The $1$st expression} &

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2021

2021-II-32

Ans: D

$\begin{array}{cl}
& 14\times 16^{15} +17 \ti

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2021

2021-II-33

Ans: C

Sub. $y=0$ into $y=a+\log_b x$, we have

$\begin{arra

… Read
2021

2021-II-34

Ans: C

Consider the equation of the straight line, we have

$\

… Read
2021

2021-II-35

Ans: A

I must be true. For any real number $\alpha$,

$\begin{

… Read
2021

2021-II-36

Ans: A

I must be true. Since $p$, $q$, $r$ and $s$ is a geometri

… Read
2021

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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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