1998 年

In the figure, $AB=2BC$. Find $BC$ correct to 3 significant figures.

Find the equation of the straight line passing through $(-1,1)$ and parallel to $5x+4y=0$.

In the figure, $PQRS$ is a parallelogram. Find the slope of $PR$.

In the figure, $C_A$ and $C_B$ are the cumulative frequency curves of two distributions of weights $A$ and $B$ respectively. Which of the following is/are true? I. median of $A>$ median of $B$ II. range of $A>$ range of $B$ III. inter-quartile range of $A>$ inter-quartile range of $B$

Two cards are drawn randomly from five cards numbered $2$, $2$, $3$, $5$ and $5$ respectively. Find the probability that the sum of the numbers on the cards drawn is $5$.

In a shooting game, the probability that Mr. Tung will hit the target is $\dfrac{2}{3}$. If he shoots twice, find the probability that he will hit the target at least once.

Let $a$ and $b$ be two consecutive positive integers. Which of the following must be true? I. $a+b$ is odd. II. $ab$ is odd. III. $a^2+b^2$ is odd.

In the figure, $ABCD$ is a trapezium. Which of the following must be true? I. $AED$ is an equilateral triangle. II. $EBCD$ is a parallelogram. III. $AB=2DC$

$\dfrac{2}{x^2-1}-\dfrac{3}{x^2-x-2}=$

Suppose $\log_{10}2=a$ and $\log_{10}3=b$. Express $\log_{10}15$ in terms of $a$ and $b$.