2000 年

Two fair dice are thrown. Find the probability that at least one "6" occurs.

A bag contains six balls which are marked with the numbers $-3,\ -2,\ -1,\ 1,\ 2$ and $3$ respectively. Two balls are drawn randomly from the bag. Find the probability that the sum of the numbers drawn is zero.

$\{x,\ x+2,\ x+4,\ x+6,\ x+8\}$ and $\{x+1,\ x+3,\ x+5,\ x+7,\ x+9\}$ are two groups of numbers. Which of the following is/are true? I. The two groups of numbers have the same range. II. The two groups of numbers have the same standard deviation. III. The two groups of numbers have the same mean.

In the figure, $AB=CD$, $\angle CAB=\angle ECD$ and $\angle ABC=\angle CDE$. Which of the following must be true? I. $\triangle ABC\cong\triangle CDE$ II. $\triangle ABC\sim\triangle EAC$ III. $EAC$ is an isosceles triangle

In the figure, $PXQ$, $QYR$ and $RZP$ are semicircles with areas $A_1\text{ cm}^2$, $A_2\text{ cm}^2$ and $A_3\text{ cm}^2$ respectively. If $A_1=12$ and $A_2=5$, find $A_3$.

In the figure, find the area of the triangle correct to the nearest $0.1\text{ cm}^2$.

In the figure, find $x$ correct to 3 significant figures.

In the figure, $ABCD$ is a rectangle. Find $CF$.

In the figure, $DAB$ is a straight line. $\tan\theta=$

According to the figure, the bearing of $B$ from $C$ is