2009 年

The coordinates of the points $A$ and $B$ are $(3,9)$ and $(7,1)$ respectively. If $P$ is a point lying on the straight line $y=x+1$ such that $AP=PB$, then the coordinates of $P$ are

In the figure, the equation of the straight line $L$ is

In the figure, the straight line $L_1:y=ax+b$ and the straight line $L_2:y=cx+d$ intersect at a point on the positive $x$-axis. Which of the following must be true?

Peter has one $\$1$ coin, one $\$2$ coin and one $\$5$ coin in his pocket. If Peter takes out two coins randomly from his pocket, then the probability that he will get enough money to buy a pen of price $\$3.5$ is

The mean height of $54$ boys and $36$ girls is $162\text{ cm}$. If the mean height of the girls is $153\text{ cm}$, then the mean height of the boys is

The box-and-whisker diagram below shows the distribution of temperatures (in $^\circ\text{C}$) of water in an experiment under various settings. Which of the following are true?

I. The range is $40^\circ\text{C}$. II. The median is $24^\circ\text{C}$. III. The interquartile range is $12^\circ\text{C}$.

The figure above shows the graph of $y=\mathrm{f}(x)$. If $\mathrm{f}(x)=3\mathrm{g}(x)$, which of the following may represent the graph of $y=\mathrm{g}(x)$ ?

Which of the following is the best estimate of $1234^{3235}$ ?

Which of the following may represent the graph of $y=-3^{-x}$ ?

Convert the decimal number $16^{12}+14$ to a hexadecimal number.