2008 年

In the figure, the straight lines $L_1$ and $L_2$ are perpendicular to each other. Find the equation of $L_2$.

In the figure, $L_1$, $L_2$, $L_3$ and $L_4$ are straight lines. If $m_1$, $m_2$, $m_3$ and $m_4$ are the slopes of $L_1$, $L_2$, $L_3$ and $L_4$ respectively, which of the following must be true?

$4\bigstar$ is a 2-digit number, where $\bigstar$ is an integer from $0$ to $9$ inclusive. Find the probability that the 2-digit number is a prime number.

Let $A$ be a group of numbers $\{\alpha,\beta,\gamma,\delta\}$ and $B$ be another group of numbers $\{\alpha,\beta,\gamma,\delta,\mu\}$, where $\alpha<\beta<\gamma<\delta<\mu$. Which of the following must be true? I. The range of $A$ is smaller than that of $B$. II. The mean of $A$ is smaller than that of $B$. III. The median of $A$ is smaller than that of $B$.

The frequency curve below shows the distribution of the heights (in cm) of the students in a school.

Which of the following box-and-whisker diagrams may represent the distribution of their heights?

If $y$ increases when $x$ increases, which of the following scatter diagrams may represent the relation between $x$ and $y$?

Which of the following may represent the graph of $y=\mathrm{f}(x)$ and the graph of $y=\mathrm{f}(x)+2$ on the same rectangular coordinate system?

The figure shows the graph of $y=a^x$, the graph of $y=b^x$ and the graph of $y=c^x$ on the same rectangular coordinate system, where $a$, $b$ and $c$ are positive constants. Which of the following must be true? I. $a>b$ II. $b>c$ III. $a>1$ IV. $c>1$

If $a>0$, then $\sqrt{49a}-\sqrt{25a}=$

$11000011000111_2=$