2010 年

The straight line $2x+7y=5$ is perpendicular to the straight line

In the figure, the two straight lines intersect at a point on the negative $y$-axis. Which of the following must be true? I. $ac>0$ II. $km>0$ III. $am=ck$ IV. $bm=cl$

A bag contains $n$ white balls and $12$ red balls. If a ball is randomly drawn from the bag, then the probability of drawing a red ball is $\dfrac{1}{4}$. Find the value of $n$.

Let $a$, $b$, $c$ and $d$ be the mean, the median, the mode and the range of the group of numbers $\{x, x, x, x, x, x+1, x+1, x+2, x+3\}$ respectively. Which of the following must be true? I. $a>b$ II. $b>c$ III. $c>d$

The bar chart shows the distribution of scores obtained by a group of students in a test. Find the standard deviation of the scores correct to the nearest integer.

The box-and-whisker diagram below shows the distribution of the numbers of books read by some students in a year. Find the inter-quartile range of the numbers of books read.

Let $f(x)$ be a quadratic function. The figure shows the graph of $y=f(x)$ and

The figure shows the graph of $y=a^x+b$, where $a$ and $b$ are constants. Which of the following must be true?

If $a$ and $b$ are positive numbers, then $\dfrac{1}{\sqrt{a^3}}\div\dfrac{\sqrt{b}}{a}=$

Convert the decimal number $11\times16^8+4\times16^3+14\times16^1+8$ to a hexadecimal number.