1997 年

In the figure, find the area of $\triangle ABC$.

Which of the following lines is perpendicular to the line $\dfrac{x}{2}+\dfrac{y}{3}=1$ ?

In the pie chart, if $x:y:z=75:106:119$, find $x$.

The histogram below shows the distribution of the weights of $30$ students. Find the mean weight of these students.

Two fair dice are thrown. Find the probability that the sum of the two numbers shown is $8$.

In a test, there are $3$ questions. For each question, the probability that John correctly answers it is $\dfrac{2}{5}$. Find the probability that he gets exactly $2$ questions correct.

If $\mathrm{f}(x)=3x^2+bx+1$ and $\mathrm{f}(x)=\mathrm{f}(-x)$, then $\mathrm{f}(-3)=$

Simplify $\dfrac{4}{x^2-4}-\dfrac{3}{x^2-x-2}$.

$\dfrac{1}{\sqrt2-1}-\dfrac{1}{\sqrt3-\sqrt2}=$

The difference of the roots of the equation $2x^2-5x+k=0$ is $\dfrac{7}{2}$. Find $k$.