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You are here: Home / Archives for ACT Practice Questions

Sequences with pattern: ACT Math Practice Question

July 26, 2021 Leave a Comment

 

Try this ACT math practice question that tests your ability to recognize a pattern in sequence questions.

In the sequence $s_1$, $s_2$, $s_3$, $\ldots$, the $n$th term of the sequence is given by $s_{n}=\dfrac{n}{n+1}$ for all positive integers $n$. For example, when $n=1$, $s_1 = \dfrac{1}{2}$. What is the product of the first $100$ terms of this sequence?

  1. $\quad \displaystyle \frac{1}{100}$
  2. $\quad \displaystyle \frac{1}{101}$
  3. $\quad \displaystyle \frac{99}{100}$
  4. $\quad \displaystyle \frac{100}{101}$
  5. $\quad \displaystyle \frac{101}{100}$

Choice B


Video explanation

Internal angles of an octagon: ACT Math Practice Question

July 19, 2021 Leave a Comment

 

Try this ACT math practice question on the internal angles of an octagon.

In a regular octagon, all $8$ interior angles are congruent. What is the measure of each interior angle of a regular octagon?

  1. $\quad 22.5^{\circ}$
  2. $\quad 45^{\circ}$
  3. $\quad 120^{\circ}$
  4. $\quad 135^{\circ}$
  5. $\quad 150^{\circ}$

Choice D


Video explanation

Logarithms: ACT Math Practice Question

July 13, 2021 Leave a Comment

 

Try this ACT math practice question on manipulating logarithm expressions.

What value of $x$ satisfies the equation below
$$\log_{3} 36 \; – \log_{3} 4 = \log_{4} x$$

  1. $\quad 3$
  2. $\quad 16$
  3. $\quad 32$
  4. $\quad 72$
  5. $\quad 144$

Choice B


Video explanation

Parallel lines and angles of intersections: ACT Math Practice Question

April 21, 2021 Leave a Comment

 

Try this ACT math practice question on finding the relationship between the angles formed by a line intersecting a pair of parallel lines.

In the figure below, $l \parallel m$ and $m \perp n$. What is $y$ in terms of $x$ ?

  1. $\quad x-45$
  2. $\quad x-90$
  3. $\quad 45-x$
  4. $\quad 90-x$
  5. $\quad 180-x$

Choice B


Video explanation

Simplifying fractional exponents and roots: ACT Math Practice Question

April 2, 2021 Leave a Comment

 

Try this ACT math practice question that tests your ability to simplify expressions that contain roots and fractional exponents.

For $x \gt 0$, which of the following expressions is equivalent to $(\sqrt[4]{x^3})(\sqrt{x})^3$?

  1. $\quad x$
  2. $\quad x^2$
  3. $\quad x(\sqrt[4]{x})$
  4. $\quad x^2(\sqrt[4]{x})$
  5. $\quad x^3(\sqrt[4]{x})$

Choice D


Video explanation

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