Try the following ACT math practice question that tests your understanding of what happens to the mean and median of a list of values when the value of the items in the list are changed.

There are $19$ numbers in a list. If the $6$ smallest of these numbers are decreased by $1$ each and the $4$ greatest of these numbers are increased by $2$ each, which of the following statements must be true?

1. $\quad \textrm{The median does not change.}$
2. $\quad \textrm{The median decreases.}$
3. $\quad \textrm{The median increases.}$
4. $\quad \textrm{The average (arithmetic mean) decreases.}$
5. $\quad \textrm{The average (arithmetic mean) does not change.}$

Try this ACT math practice question that tests your understanding of rectangles and area concepts.

In rectangle $ABCD$, point $E$ is the midpoint of side $BC$. If the area of quadrilateral $ABED$ is $\dfrac{2}{3}$, what is the area of rectangle $ABCD$ ?

1. $\quad \dfrac{1}{2}$
2. $\quad \dfrac{3}{4}$
3. $\quad \dfrac{8}{9}$
4. $\quad 1$
5. $\quad \dfrac{8}{3}$

Try this ACT math practice question that tests your understanding of logarithms.

If $\log_{10} m = b \; – \; \log_{10} n$, then $m=$

1. $\quad \displaystyle \frac{b}{n}$
2. $\quad bn$
3. $\quad 10^{b}n$
4. $\quad b \; – \; 10^{n}$
5. $\quad \displaystyle \frac{10^b}{n}$

Try this ACT math practice question that tests your understanding of factors of an algebraic expression.

What is the value of $a$ if $x+3$ is a factor of $6x^3+17x^2-ax-3$?

1. $\quad -4$
2. $\quad -2$
3. $\quad 0$
4. $\quad 2$
5. $\quad 4$

Try this ACT math practice question that tests your ability to recognize a pattern in units digits of large powers of an integer.

The units digit(the digit in the one’s place of a number) of $7^{77}$ is $7$. What is the units digit of $7^{80}$?

1. $\quad 0$
2. $\quad 1$
3. $\quad 3$
4. $\quad 7$
5. $\quad 9$