HKCEE - 2010

2010-I-01

Ans: $a^4b^{15}$
$\begin{array}{cl}
& a^{14}\left

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2010

2010-I-02

Ans: (a) $x\le \dfrac{11}{4}$ (b) $2$

$\begin{array}{rcl

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2010

2010-I-03

Ans: (a) $(m+6n)^2$ (b) $(m+6n+5k)(m+6n-5k)$

$\begin{ar

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2010

2010-I-04

Ans: (a) $1$ (b) $\sqrt{3}$, $\dfrac{1}{\sqrt{3}}$

The se

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2010

2010-I-05

Ans: (a) $c=4d-2$ (b) Decreased by $4$

$\begin{array}{rcl

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2010

2010-I-06

Ans: $\$6$
Let $\$x$ and $\$y$ be the cost of a bottle of orang

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2010

2010-I-07

Ans: (a) $35$ (b) No

The required number of badge
$\begin{ar

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2010

2010-I-08

Ans: (a) $\$72$ (b) Yes

The round-down estimate of the total

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2010

2010-I-09

Ans: (a) $126^\circ$

Add a straight line $BF$ such that $AE/

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2010

2010-I-10

Ans: (a) $C=4x+5x^2$ (b) $\dfrac{36}{5}\text{ m}$

Let $C=

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2010

2010-I-11

Ans: (a) Mean $=25$, median $=26$, range $=13$ (b) (i) $29$ (

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2010

2010-I-12

Ans: (a) $3x-4y+78=0$ (b) $(24,0)$ (c) $150$ (d) $\dfrac{3

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2010

2010-I-13

Ans: (a) $120\text{ cm}^2$ (b) $2\ 400\text{ cm}^3$ (c) (i)

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2010

2010-I-14

Ans: (a) (i) $\dfrac{28}{45}$ (ii) $\dfrac{16}{45}$ (iii

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2010

2010-I-15

Ans: (a) $18.7\text{ cm}$ (b) (i) $26.8\text{ cm}$ (ii) $97

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2010

2010-I-16

Ans: (a) (i) $(36,3)$ (ii) $\dfrac{-1}{144}(x-32)^2+8$ (

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2010

2010-I-17

Ans: (a) (i) $D=(-6,8)$, centre $=(1,7)$ (ii) $5\sqrt{2}$

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2010

2010-II-01

Ans: C
$\begin{array}{rcl}
x & = & \dfrac{3a}{a

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2010

2010-II-02

Ans: B
$\begin{array}{rcl}
\left(\dfrac{1}{9}\right)^

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2010

2010-II-03

Ans: D
$\begin{array}{cl}
& \dfrac{1}{2x-3} + \dfra

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2010