1994 年

A box contains 5 eggs, 2 of which are rotten. If 2 eggs are chosen at random, find the probability that exactly one of them is rotten.

The mean, standard deviation and interquartile range of $n$ numbers are $m$, $s$ and $q$ respectively. If $3$ is added to each of the $n$ numbers, what will be their new mean, standard deviation and interquartile range?

$(3^x)^2=$

If $\log2=a$ and $\log9=b$, then $\log12=$

Factorize $a^2-2ab+b^2-a+b$.

$\dfrac{\dfrac2x-\dfrac1y}{\dfrac{4y}{x}-\dfrac xy}=$

$P(x)$ is a polynomial. When $P(x)$ is divided by $(5x-2)$, the remainder is $R$. If $P(x)$ is divided by $(2-5x)$, then the remainder is

In the figure, the line $y=mx+k$ cuts the curve $y=x^2+bx+c$ at $x=\alpha$ and $x=\beta$. Find the value of $\alpha\beta$.

If $x=3$, $y=2$ satisfy the simultaneous equations $\begin{cases} ax+by=2 \\ bx-ay=3 \end{cases}$, find the values of $a$ and $b$.

From the table, which of the following intervals must contain a root of $\mathrm{f}(x)-x=0$?