Here is a link to the playlist of video explanations to all of the math questions in the 2021 December ACT (Form E23) Test.
Patterns in a sequence: ACT Math Practice Question
Try the following ACT math practice question that tests your understanding of finding terms of a sequence that have a repeating pattern.
$$ \textbf{FLOWERFLOW….} $$
In the pattern above, the first letter is $\textbf{F}$ and the letters $\textbf{F}$, $\textbf{L}$, $\textbf{O}$, $\textbf{W}$, $\textbf{E}$, and $\textbf{R}$ repeat continually in that order. What is the $95$th letter in the pattern?
- $\quad \textbf{F}$
- $\quad \textbf{L}$
- $\quad \textbf{W}$
- $\quad \textbf{E}$
- $\quad \textbf{R}$
Mean and Median: ACT Math Practice Question
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?
- $\quad \textrm{The median does not change.}$
- $\quad \textrm{The median decreases.}$
- $\quad \textrm{The median increases.}$
- $\quad \textrm{The average (arithmetic mean) decreases.}$
- $\quad \textrm{The average (arithmetic mean) does not change.}$
Rectangles and area: ACT Math Practice Question
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 $ABCD$ ?
- $\quad \dfrac{1}{2}$
- $\quad \dfrac{3}{4}$
- $\quad \dfrac{8}{9}$
- $\quad 1$
- $\quad \dfrac{8}{3}$
Logarithms: ACT Math Practice Question
Try this ACT math practice question that tests your understanding of logarithms.
If $\log_{10} m = b \; – \; \log_{10} n$, then $m=$
- $\quad \displaystyle \frac{b}{n}$
- $\quad bn$
- $\quad 10^{b}n$
- $\quad b \; – \; 10^{n}$
- $\quad \displaystyle \frac{10^b}{n}$
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