2006 年

If the points $(0,0)$, $(2,0)$ and $(1,b)$ are the vertices of an equilateral triangle, then $b=$

Which of the following could be the probability of an event?

Two fair dice are thrown. Find the probability that the sum of the two numbers thrown is a prime number.

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

The box-and-whisker diagram below shows the distribution of the weights (in kg) of some students. Find the inter-quartile range of their weights.

The scatter diagram below shows the relation between $x$ and $y$. Which of the following may represent the relation between $x$ and $y$ ?

The figure shows the graph of $y=4^x$. The coordinates of $P$ are

Let $a$ and $b$ be positive numbers. If $\log\dfrac{a}{10}=2\log b$, then $a=$

Convert the decimal number $2^{13}+2^4+3$ to a binary number.

Let $k$ be a non-zero constant. When $x^3+kx^2+2kx+3k$ is divided by $x+k$, the remainder is $k$. Find $k$.