Question bank AMC12 1955

Which one of the following is not equivalent to $0.000000375?$

The smaller angle between the hands of a clock at $12{:}25$ p.m. is:

If each number in a set of ten numbers is increased by $20,$ the arithmetic mean (average) of the original ten numbers:

The equality $\dfrac1{x-1}=\dfrac2{x-2}$ is satisfied by:

$y$ varies inversely as the square of $x.$ When $y=16,$ $x=1.$ When $x=8,$ $y$ equals:

A merchant buys a number of oranges at $3$ for $10$¢ and an equal number at $5$ for $20$¢. To “break even” he must sell all at:

If a worker receives a $20$ percent cut in wages, he may regain his original pay exactly by obtaining a raise of:

The graph of $x^2-4y^2=0:$

A circle is inscribed in a triangle with sides $8,$ $15,$ and $17.$ The radius of the circle is:

How many hours does it take a train traveling at an average rate of $40$ mph between stops to travel $a$ miles if it makes $n$ stops of $m$ minutes each?

The negation of the statement “No slow learners attend this school,” is:

The solution of $\sqrt{5x-1}+\sqrt{x-1}=2$ is:

The fraction $\dfrac{a^{-4}-b^{-4}}{a^{-2}-b^{-2}}$ is equal to:

The length of rectangle $R$ is $10$ percent more than the side of square $S.$ The width of the rectangle is $10$ percent less than the side of the square. The ratio of the areas, $R:S,$ is:

The ratio of the areas of two concentric circles is $1:3.$ If the radius of the smaller is $r,$ then the difference between the radii is best approximated by:

The value of $\dfrac3{a+b}$ when $a=4$ and $b=-4$ is:

If $\log x-5\log3=-2,$ then $x$ equals:

The discriminant of the equation $x^2+2x\sqrt3+3=0$ is zero. Hence, its roots are:

Two numbers whose sum is $6$ and the absolute value of whose difference is $8$ are roots of the equation:

The expression $\sqrt{25-t^2}+5$ equals zero for: