HKDSE-MATH - 2015 - Paper 1

2015-I-01

Ans: $\dfrac{n^{35}}{m^6}$
$\begin{array}{cl}
& \

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2015-I-02

Ans: $b=\dfrac{4a-7}{3}$
$\begin{array}{rcl}
\dfrac{4

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2015-I-03

Ans: $\dfrac{3}{10}$
Note that the sample space is as follo

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2015-I-04

Ans: (a) $x^2(x+y-7)$ (b) $(x-1)(x+1)(x+y-7)$

$\begin{a

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2015-I-05

Ans: (a) $x \dfrac{13}{4}$ (b) $4$

$\begin{array}{rcl}
\d

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2015-I-06

Ans: (a) $\$300$ (b) $\$400$

The selling price of the book
$\

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2015-I-07

Ans: $40$
Let $x$ and $y$ be the number of apples owned by Ada a

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2015-I-08

Ans: $\angle DBC=39^\circ$, $\angle ABE=22^\circ$
Since

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2015-I-09

Ans: (a) $75^\circ$ (b) $(5\pi + 24) \text{ cm}$

Let $\theta

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2015-I-10

Ans: (a) $\$14~600$ (b) Impossible

Let $S= k_1 + k_2n$, wher

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2015-I-11

Ans: (a) $h=2$, $k=-5$ (b) No

By the remainder theorem, we ha

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2015-I-12

Ans: (a) mean $=55\text{ kg}$, median $=52\text{ kg}$, ran

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2015-I-13

Ans: (b) Yes (c) $12\text{ cm}$

In $\Delta ABE$ and $\Delta B

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2015-I-14

Ans: (a) (i) $3x-4y+59=0$ (b) $50$

1. The mid-point of $PQ$
  $\b

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2015-I-15

Ans: (a) $60$ marks (b) Yes

Let $x$ marks be the score of David

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2015-I-16

Ans: (a) $\dfrac{360}{1001}$ (b) $\dfrac{5}{11}$

The req

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2015-I-17

Ans: (a) $n(2n-3)$ (b) $64$

$A(1) + A(2) + A(3) + \cdots + A(n)

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2015-I-18

Ans: (a) No (b) $(k, k^2+5)$ (c) No

Sub. $y=0$ into $y=f(x)$,

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2015-I-19

Ans: (a) (i) $42.9\text{ cm}$ (ii) $66.6^\circ$ (iii) The a

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