HKDSE-MATH - 2014 - Paper 1

2014-I-01

Ans: $\dfrac{x^3}{y^{10}}$
$\begin{array}{cl}
& \

… Read

2014

2014-I-02

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

$\begin{arra

… Read

2014

2014-I-03

Ans: (a) $200$ (b) $123$ (c) $123.4$

$200$
$123$
$123.4$

… Read

2014

2014-I-04

Ans: median $=1$, mode $=2$, standard deviation $=0.889$
N

… Read

2014

2014-I-05

Ans: (a) $n=\dfrac{7-5m}{2}$ (b) decreased by $5$

$\begin

… Read

2014

2014-I-06

Ans: (a) $\$153$ (b) $\$150$

The selling price of the toy
$\b

… Read

2014

2014-I-07

Ans: (a) Yes (b) Yes

When $f(x)$ is divided by $x-2$, the rema

… Read

2014

2014-I-08

Ans: (a) $P’=(5,3)$, $Q’=(-19,-7)$

$P'(5,3

… Read

2014

2014-I-09

Ans: (b) Yes

In $\Delta ABC$ and $\Delta BDC$,
$\begin{arra

… Read

2014

2014-I-10

Ans: (a) $30\text{ km}$ (b) $8:36$ am (c) No

The speed of car $

… Read

2014

2014-I-11

Ans: (a) range $=73\text{ thousand dollars}$, inter-quar

… Read

2014

2014-I-12

Ans: (a) $x^2+(y-3)^2=10^2$ (b) (i) $3x+4y-37=0$ (ii) Per

… Read

2014

2014-I-13

Ans: (a) $-69$ (b) $414$

Let $f(x) = k_1x^2 + k_2$, where $k_1

… Read

2014

2014-I-14

Ans: (a) $2\ 625\pi \text{ cm}^2$ (b) Yes

Note that $\Delta V

… Read

2014

2014-I-15

Ans: $y=8x^\frac{-1}{2}$
By point-slope form, we have

$\b

… Read

2014

2014-I-16

Ans: $83$
Note that the sequence is $3$, $5$, $7$, …, w

… Read

2014

2014-I-17

Ans: (a) $35.7^\circ$ (b) Yes

By applying sine law to $\Delt

… Read

2014

2014-I-18

Ans: (a) $6x+7y\le 900$, $2x+3y\le 360$, $x\ge 0$ and $y\ge

… Read

2014

2014-I-19

Ans: (a) $\dfrac{6}{11}$ (b) (i) $\dfrac{75}{32}$ (ii) Op

… Read

2014