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HKCEE - 2007

2007-II-04

Ans: A
Let $x$ be the smaller one of two consecutive integers
… Read
2007

2007-II-05

Ans: D
According to the function $y=(x+1)^2-4$, we have
  1. The
… Read
2007

2007-II-06

Ans: B
$\begin{array}{rcl}
15 & \ge & 4(x+2)-1 \
… Read
2007

2007-II-07

Ans: B
Let $\$x$ and $\$y$ be the prices of an orange and apple
… Read
2007

2007-II-08

Ans: D
It is given that $f(x)=x^2-ax+2a$.

$\begin{array}{

… Read
2007

2007-II-09

Ans: A
$\begin{array}{rcl}
T(1) & = & 4 \\
T(2) &#
… Read
2007

2007-II-10

Ans: B
The percentage increase of the fare

$\begin{array}{

… Read
2007

2007-II-11

Ans: D
The required amount

$\begin{array}{cl}
= & \$3

… Read
2007

2007-II-12

Ans: D
$\begin{array}{cl}
& \sqrt{2007} \\
= & 4
… Read
2007

2007-II-13

Ans: A
$\begin{array}{rcl}
7a + 5b & = & 3a + 8b \\
4
… Read
2007

2007-II-14

Ans: B
Let $y = k_1 + k_2 x$, where $k_1$ and $k_2$ are constant
… Read
2007

2007-II-15

Ans: C

$\begin{array}{rcl}
\alpha + 110^\circ & = �

… Read
2007

2007-II-16

Ans: A
Let $OA=r\text{ cm}$. Then we have

$\begin{array}{r

… Read
2007

2007-II-17

Ans: A
The base area of the right prism

$\begin{array}{cl}
=

… Read
2007

2007-II-18

Ans: B
Note that the volume is conserved. Then we have

$\begi

… Read
2007

2007-II-19

Ans: A
Consider $\Delta CDF$ and $\Delta CBF$. With bases $F
… Read
2007

2007-II-20

Ans: D
Since $x+y=90^\circ$, we have $x = 90^\circ – y
… Read
2007

2007-II-21

Ans: D
$\begin{array}{cl}
& \dfrac{\cos A}{\sin A} +
… Read
2007

2007-II-22

Ans: D
$\begin{array}{rcl}
\sin\theta & = & \sq
… Read
2007

2007-II-23

Ans: B
In $\Delta ABC$,

$\begin{array}{rcl}
\angle ABC �

… Read
2007

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Topic Cloud

3D Problems (41) Basic Functions (13) Basic Geometry (68) Binomial Theorem (7) Change of Subject (32) Complex Numbers (16) Coordinates (46) Differentiation (16) Equations of Circle (54) Equations of Straight Line (43) Estimations and Errors (35) Factorization (39) Graph of Functions (3) Inequality (39) Integration (15) Laws of Indices (43) Linear Programming (21) Locus (13) Logarithm (34) Mathematical Induction (7) Matrices (4) Mensuration (98) Numeral System (19) Percentage (42) Polynomials (49) Probability (85) Properties of Circles (56) Quadratic Equations and Functions (57) Rate and Ratio (30) Rational Functions (20) Sequences (66) Simultaneous Linear Equations (27) Statistics (122) System of Linear Equations (3) Transformations (44) Trigonometry (M2) (7) Trigonometry and Its Applications (67) Variations (38) Vectors (3)

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