HKDSE-MATH - 2013 - Paper 1

2013-I-01

Ans: $\dfrac{y^7}{x^{10}}$
$\begin{array}{cl}
& \

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2013-I-02

Ans: $k=\dfrac{h}{3-2h}$
$\begin{array}{rcl}
\dfrac{3

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2013-I-03

Ans: (a) $(2m+5n)(2m-5n)$ (b) $(2m-5n)(2m+5n+3)$

$\begi

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2013-I-04

Ans: $\$5$
Let $\$x$ and $\$y$ be the price and a pear and an or

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2013-I-05

Ans: (a) $x\dfrac{25}{4}$ (b) $7$, $8$ and $9$

$\begin{arr

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2013-I-06

Ans: (a) $L$ is the angle bisector of $\angle AOB$. (b) $(13,

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2013-I-07

Ans: (b) (i) $3$ (ii) $4$

In $\Delta EBC$,
$\begin{array}{l

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2013-I-08

Ans: (a) $99.5\text{ g}$ (b) No

Note that the maximum absolu

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2013-I-09

Ans: (a) Mean $=3.5$, inter-quartile range $=2$, standard

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2013-I-10

Ans: (a) median $=31$, mode $=23$ (b) (i) $\left\{\begin{a

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2013-I-11

Ans: (a) $222\text{ grams}$ (b) $\dfrac{11}{4}\text{ met

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2013-I-12

Ans: (a) $a=3$, $b=-1$ and $c=4$ (b) No

Note that the remaind

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2013-I-13

Ans: (a) (i) $r:R=1:3$ (ii) $15\text{ cm}$ (b) No

1. Since the b

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2013-I-14

Ans: (a) $(6,17)$ (b) (i) $25$ (ii) (1) Collinear (2) $3:2$

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2013-I-15

Ans: (a) $60\text{ marks}$ (b) Yes

Let $\overline{x}$ and $

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2013-I-16

Ans: (a) $\dfrac{1}{28}$ (b) $\dfrac{27}{28}$

The requir

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2013-I-17

Ans: (a) $(18,324)$ (b) (i) $A=\dfrac{3}{2}(36x-x^2)\te

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2013-I-18

Ans: (a) (i) $53.1^\circ$ (ii) $17.1\text{ cm}$ (b) (i) $28

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2013-I-19

Ans: (a) (i) $9\times10^6(1+r\%)-3\times10^5\text{ m}^

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