Here is a practice question on how the volume of a cylinder varies with its height and radius.

The radius of a right circular cylinder is doubled and the height of the cylinder is halved to form a new right circular cylinder. The volume of the new
cylinder is how many times the volume of the original cylinder?

1. $\quad \dfrac{1}{4}$
2. $\quad \dfrac{1}{2}$
3. $\quad 1$
4. $\quad 2$
5. $\quad 4$

 
Here is a practice question on how the equation of a circle in the coordinate plane is related to the coordinates of its center and radius.

In the standard $(x, y)$ plane, a circle has a center at $(2, -3)$ and a circumference of $8\pi$. Which of the following is an equation for this circle?

1. $\quad (x-2)^2 + (y-3)^2 = 16$
2. $\quad (x+2)^2 + (y-3)^2 = 16$
3. $\quad (x-2)^2 + (y+3)^2 = 16$
4. $\quad (x+2)^2 + (y-3)^2 = 64$
5. $\quad (x-2)^2 + (y+3)^2 = 64$

 
Here is a practice question on subtracting exponent expressions, remember that there are no general rules for adding and subtracting exponent terms.

$\dfrac{1}{3^{30}} – \dfrac{2}{3^{31}}$ is equal to

1. $\quad \dfrac{2}{3^{61}}$
2. $\quad \dfrac{1}{3^{31}}$
3. $\quad \dfrac{1}{3^{30}}$
4. $\quad \dfrac{2}{3^{30}}$
5. $\quad \dfrac{1}{3}$

 
Here is a practice question on sequences where you need to identify a repeating pattern.

When the fraction $\dfrac{4}{7}$ is written in the decimal form, what is the $277$th digit to the right of the decimal point?

1. $\quad 1$
2. $\quad 2$
3. $\quad 5$
4. $\quad 7$
5. $\quad 8$

 
Here is an ACT math practice question on rearrangement of algebraic expressions and isolating the relevant variable.

In the equation $s = \dfrac{1}{2}(u+v)t$, $s$ is the distance traveled by an object in time $t$ with an initial velocity of $u$ and a final velocity equal to $v$. Which of the following solves this formula for $v$ ?

1. $\quad \dfrac{2su}{t}$
2. $\quad \dfrac{2s-u}{t}$
3. $\quad \dfrac{2s-ut}{t}$
4. $\quad \dfrac{2s-t}{u}$
5. $\quad 2s – ut$