2011 年

If the straight line $x+3y-211=0$ is perpendicular to the straight line $kx-3y+211=0$, then $k=$

The figure shows the graph of $ax+y=1$ and the graph of $x+by=1$. Which of the following is true?

Two fair dice are thrown. Find the probability that the sum of the two numbers thrown is not less than $10$.

The weights of seven boys are $70\text{ kg}$, $55\text{ kg}$, $53\text{ kg}$, $56\text{ kg}$, $64\text{ kg}$, $54\text{ kg}$ and $x\text{ kg}$. If the mean weight of the boys is $58\text{ kg}$, then the median of their weights is

Which of the following can be obtained from any box-and-whisker diagram? I. Mean II. Mode III. Range IV. Upper quartile

The stem-and-leaf diagram below shows the distribution of the ages of $24$ members of a committee.

If the range and the inter-quartile range of the distribution are $42$ and $18$ respectively, then

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

The figure shows the graph of $y=7^{-x}$. The coordinates of $R$ are

Which of the following is the least?

Let $\mathrm{f}(x)=2x^2+ax-3$, where $a$ is a constant. If $\mathrm{f}(x)$ is divisible by $2x+1$, find the remainder when $\mathrm{f}(x)$ is divided by $x-a$.