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You are here: Home / Archives for ACT Practice Questions

Absolute value: ACT Math Practice Question

April 11, 2022 Leave a Comment

 

Try the following ACT math practice question that tests your understanding of manipulating algebraic expressions with absolute value.

Given $m$ and $n$ are real numbers such that $m > n$, which of the following expressions equals $|n-m|$ ?

  1. $\quad n-m$
  2. $\quad m-n$
  3. $\quad -n-m$
  4. $\quad m+n$
  5. $\quad \sqrt{m^2-n^2}$

Choice B

Video Explanation

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Patterns in a sequence: ACT Math Practice Question

January 3, 2022 Leave a Comment

 

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?

  1. $\quad \textbf{F}$
  2. $\quad \textbf{L}$
  3. $\quad \textbf{W}$
  4. $\quad \textbf{E}$
  5. $\quad \textbf{R}$

Choice D

Video Explanation

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Mean and Median: ACT Math Practice Question

December 17, 2021 Leave a Comment

 

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. $\quad \textrm{The average (arithmetic mean) does not change.}$

Choice A

Video Explanation

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Rectangles and area: ACT Math Practice Question

October 2, 2021 Leave a Comment

 

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. $\quad \dfrac{8}{3}$

Choice C

Video Explanation

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Logarithms: ACT Math Practice Question

August 30, 2021 20 Comments

 

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. $\quad \displaystyle \frac{10^b}{n}$

Choice E

Video Explanation

Filed Under: ACT Practice Questions

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