2004 年

If $(-2,3)$ is the mid-point of $(a,-1)$ and $(4,b)$, then $b=$

The mean weight of $36$ boys and $32$ girls is $46\text{ kg}$. If the mean weight of the boys is $52\text{ kg}$, then the mean weight of the girls is

A bag contains $3$ red balls and $4$ green balls. If two balls are drawn randomly from the bag one by one without replacement, then the probability that the two balls are of different colours is

Peter and May each throws a dart. The probability of Peter's hitting the target is $0.2$. The probability of May's hitting the target is $0.3$. Find the probability of at least one dart hitting the target.

The pie chart below shows the expenditure of a student in March 2004. If the student spent $\$520$ on meals, then the student's total expenditure on entertainment and clothing was

David got $70$ marks in a test and his standard score was $-0.625$. If the standard deviation of the test marks was $8$ marks, then the mean mark of the test was

$\dfrac{\dfrac{3}{x}-\dfrac{2}{y}}{\dfrac{4x}{y}-\dfrac{9y}{x}}=$

The L.C.M. of $2-b$, $4-b^2$ and $8-b^3$ is

If $5=10^a$ and $7=10^b$, then $\log\dfrac{7}{50}=$

If $\mathrm{f}(x)=x^3-7x+6$ is divisible by $x^2-3x+k$, then $k=$