HKDSE-MATH - 2017 - Paper 1

2017-I-01

Ans: $y = \dfrac{3x}{k+1} $
$\begin{array}{rcl}
k & =

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2017-I-02

Ans: $\dfrac{m^{22}}{n^3}$
$\begin{array}{cl}
& \

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2017-I-03

Ans: (a) $(x-3y)(x-y)$ (b) $(x-3y)(x-y+11)$

$\begin{arr

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2017-I-04

Ans: $432$
Let $x$ and $y$ be the number of regular tickets an

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2017-I-05

Ans: (a) $1 < x \le 5$ (b) $4$

Consider $7(x-2) \le \dfrac{11x+8}{3}$, we hav

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2017-I-06

Ans: (a) $A’=(-4-3)$, $B’=(9,9)$

$A’

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2017-I-07

Ans: (a) $x=40^\circ$ (b) $900$

Since the probability that

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2017-I-08

Ans: (a) $y=\dfrac{972}{\sqrt{x}}$ (b) $27$

Let $y = \dfra

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2017-I-09

Ans: (a) $195\text{ mL}$ (b) No

The maximum absolute error
$

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2017-I-10

Ans: (b) $4\pi\text{ cm}^2$

In $\Delta OPS$ and $\Delta ORS

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2017-I-11

Ans: (a) Median $=\$69$, standard deviation $=\$7.33$ (b)

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2017-I-12

Ans: (a) $1296\text{ cm}^3$ (b) $384\text{ cm}^2$

The tota

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2017-I-13

Ans: (a) $(x-2)^2+(y+1)^2=100$ (c) (i) $F$, $G$ and $H$ are

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2017-I-14

Ans: (a) $-9$ (b) (ii) No

By the division algorithm, we have
$

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2017-I-15

Ans: $x=3^{y+2}$
Since $G$ passes through $(243, 3)$, then

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2017-I-16

Ans: (a) $1.32\times10^8 \text{ m}^3$ (b) Yes

The total vol

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2017-I-17

Ans: (a) $\dfrac{5}{3876}$ (b) $\dfrac{35}{969}$ (c) $\d

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2017-I-18

Ans: (b) (ii) No

Sub. $y=19$ into the equation of $\Gamma$, w

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2017-I-19

Ans: (a) $45.7\text{ cm}$ (b) (i) $11.4\text{ cm}$ (ii) $45

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