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2023
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HKCEE - 2007
2007-I-01
Ans: $p=\dfrac{3q+7}{2}$
$\begin{array}{rcl}
5p-7
…
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2007
2007-I-02
Ans: $\dfrac{n^5}{m^3}$
$\begin{array}{cl}
& \dfr
…
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2007
2007-I-03
Ans: (a) $(r+5)^2$ (b) $(r+s+5)(r-s+5)$
$\begin{array}{
…
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2007
2007-I-04
Ans: Median $=67\text{ kg}$, range $=25\text{ kg}$, stand
…
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2007
2007-I-05
Ans: $k49$
Since the equation has no real roots, then $\Delt
…
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2007
2007-I-06
Ans: (a) $\$320$ (b) $28\%$
The selling price of the vase
$\b
…
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2007
2007-I-07
Ans: $43$
Let $x$ and $y$ be the number of elderly patients an
…
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2007
2007-I-08
Ans: $x=70^\circ$, $y=20^\circ$, $z=20^\circ$
Since $DE
…
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2007
2007-I-09
Ans: (a) $72^\circ$ (b) $320\pi\text{ cm}^2$
Let $\angle A
…
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2007
2007-I-10
Ans: (a) $4.5\text{ cm}$ (b) (i) Impossible (ii) Impossibl
…
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2007
2007-I-11
Ans: (a) $96\pi\text{ cm}^3$ (b) (i) $60\pi\text{ cm}^2$ (
…
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2007
2007-I-12
Ans: (a) $7$ (b) $40$ (c) $\dfrac{1}{10}$ (d) Pie chart: no;
…
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2007
2007-I-13
Ans: (a) $4x+3y-49=0$ (b) $11$ (c) (i) $-2$ (ii) $48$, $\dfr
…
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2007
2007-I-14
Ans: (a) (i) $39$ (ii) $(x+3)(x+9)(4x-9)$ (b) (i) $C=16x^3
…
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2007
2007-I-15
Ans: (a) (i) $\dfrac{3}{5}$ (ii) $\dfrac{3}{20}$ (iii) $\
…
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2007
2007-I-16
Ans: (a) $10\sqrt{2}\text{ cm}^2$, $210\sqrt{2}\text{ c
…
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2007
2007-I-17
Ans: (b) (i) $(-7,0)$ (ii) $(x+7)^2+(y-9)^2=9^2$
Since $I
…
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2007
2007-II-01
Ans: A
$\begin{array}{cl}
& 3^{2n} \cdot 4^n \\
=
…
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2007
2007-II-02
Ans: D
$\begin{array}{cl}
& \dfrac{1}{n+3} –
…
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2007
2007-II-03
Ans: A
$\begin{array}{cl}
& (x+x)(y+y+y) \\
= &
…
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2007
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