HKDSE-MATH - 2016 - Paper 1

2016-I-01

Ans: $x^{11}y^{20}$
$\begin{array}{cl}
& \dfrac{(

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2016-I-02

Ans: $x=\dfrac{BC}{A-4C}$
$\begin{array}{rcl}
Ax &

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2016-I-03

Ans: $\dfrac{-13}{(4x-5)(1-6x)}$
$\begin{array}{cl}
&

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2016-I-04

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

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2016-I-05

Ans: $30$
Let $x$ and $y$ be the number of male members and the

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2016-I-06

Ans: (a) All real numbers (b) $-1$

Consider the first inequa

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2016-I-07

Ans: (a) $60^\circ$ (b) $36$ (c) $3$

$\begin{array}{cl}
&#

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2016-I-08

Ans: (a) $f(x)=13x+x^2$ (b) $x=5$ or $x=-18$

Let $f(x) = k_1

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2016-I-09

Ans: (a) $x=6$, $y=22$, $z=40$ (b) $\dfrac{2}{5}$

By compa

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2016-I-10

Ans: (a) $4x-3y-24=0$ (b) Yes

Let $P=(x,y)$.
$\begin{arra

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2016-I-11

Ans: (a) $768\pi \text{ cm}^3$ (b) No

Let $x\text{ cm}^3$ be

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2016-I-12

Ans: (a) $\left\{ \begin{array}{l} a=12 \\ b=8 \end{array

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2016-I-13

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

In $\Delta ADE$,
$\begi

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2016-I-14

Ans: (a) $l=3$, $m=-1$, $n=-4$ (b) $2$

Since when $p(x)$ is d

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2016-I-15

Ans: $\dfrac{5}{42}$
$P(\text{no boys are next to each oth

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2016-I-16

Ans: No
Let $\sigma$ be the standard deviation of the scores

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2016-I-17

Ans: (a) $-3$ (b) $444$

Let $d$ be the common difference.
$\b

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2016-I-18

Ans: (a) $(18,-13)$ (b) $g(x)=\dfrac{-1}{3}(x-18)^2$ (c

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2016-I-19

Ans: (a) $\angle ABD=52.3^\circ$, $CD=10.7\text{ cm}$ (b

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2016-I-20

Ans: (b) (i) $x^2+y^2-112x+66y=0$ (ii) Yes

Note that $P$, $

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2016