HKDSE-MATH - 2022 - Paper 1

2022-I-01

Ans: $\dfrac{a^{17}}{b^{14}}$

$\begin{array}{cl}

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2022-I-02

Ans: $57$

$\left\{ \begin{array}{l}
x+y =456 & \ldot

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2022-I-03

Ans: $\dfrac{17k}{(k-9)(5k+6)}$

$\begin{array}{cl}
&#

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2022-I-04

Ans: (a) $(3c-1)^2$ (b) $(7c+d-1)(c+d+1)$

$\begin{array

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2022-I-05

Ans: $\$540$

Let $\$x$ be the marked price of the fan.

The sel

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2022-I-06

Ans: (a) $x<-2$ (b) $-3$

Consider the first inequality, we have
$\begin{

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2022-I-07

Ans: (a) $S’=(5,12)$, $T’=(-3,7)$ (b) $\dfr

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2022-I-08

Ans: (b) $63^\circ$

In $\Delta ABC$ and $\Delta AED$,
$\beg

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2022-I-09

Ans: (a) $12$ (b) $19$ minutes (c) $\dfrac{3}{5}$

Note that

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2022-I-10

Ans: (a) $f(x)=3x^2+12x$ (b) $0$ and $-4$ (c) $k-12$

Let $f(

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2022-I-11

Ans: (a) $a=2$, $b=1$ (b) (i) No (ii) $7.16$

Note that there a

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2022-I-12

Ans: (a) $20$ (b) (i) $GH$ is perpendicular to $GP$. (ii) $22

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2022-I-13

Ans: (a) $288\pi\text{ cm}^3$ (b) No

Since spheres are simi

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2022-I-14

Ans: (a) $a=-15$, $b=29$ (b) Yes (c) No

By the division algor

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2022-I-15

Ans: (a) $\dfrac{54}{133}$ (b) $\dfrac{79}{133}$

The req

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2022-I-16

Ans: (a) $(-2k,4k^2+8)$ (b) $(-k,5k^2+10)$

$\begin{arra

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2022-I-17

Ans: (a) $c^2+18$ (b) $470$

Note that $\alpha +\beta = \dfra

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2022-I-18

Ans: (a) (i) $40.7\text{ cm}$ (ii) $37.7^\circ$ (b) No

1. By us

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2022-I-19

Ans: (a) $4x+3y-668=0$ (b) $(110,76)$ (c) $(x-128)^2+(y-

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