Welcome to My ACT Guide!

The ACT is a standardized test designed to measure your critical thinking skills and to assess your ability to apply knowledge and logic when solving problems. Every year, more than 2 million students take the ACT in order to get admissions to the colleges in the United States. The ACT test is divided into four multiple choice subject tests: English, Mathematics, Reading, and Science.

Recent Updates
The probability distribution of the discrete random variable X

May 13, 2021

The probability distribution of the discrete random variable X is shown in the table below. What is the expected value of X ?

  1. 1/6
  2. 1/3
  3. 1
  4. 2
  5. 3 1/6
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The lengths of the triangle are rounded to the nearest 0.1 cm

May 11, 2021

The lengths of the triangle shown below are rounded to the nearest 0.1 cm. What is the area, to the nearest 1 cm2, of this triangle?

(Note: The area of any triangle with sides of length a, b, and c opposite angles of measure A, B, and C, respectively, is given by 1/2 ab sin C.)

  1. 4
  2. 5
  3. 8
  4. 10
  5. 14
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In the circle with center D, the length of radius CD is 4 cm

May 09, 2021

In the circle with center D shown below, the length of radius CD is 4 cm, the length of BC is 1 cm, and BC is perpendicular to radius AD at B. When ∠ADC is measured in degrees, which of the following expressions represents the length, in centimeters, of arc AC ?

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A finite arithmetic sequence has 7 terms, and the first term is 3/4

May 07, 2021

A finite arithmetic sequence has 7 terms, and the first term is 3/4. What is the difference between the mean and the median of the 7 terms?

  1. 0
  2. 3/4
  3. 4/3
  4. 3
  5. 4
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Whenever j and k are positive integers such that (√3)^j = 27^k

May 05, 2021

Whenever j and k are positive integers such that (√3)j = 27k, what is the value of j/k?

F. 1/6
G. 3/2
H. 3
J. 4
K. 6

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Mario was riding a bicycle with wheels 26 inches in diameter

May 03, 2021

Mario was riding a bicycle with wheels 26 inches in diameter. During 1 minute of Mario's ride, the wheels made exactly 200 revolutions. At what average speed, in feet per second, was Mario riding during that minute?

  1. 65π/9
  2. 65π/18
  3. 130π/9
  4. 845π/18
  5. 1690π/9
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The 3 parabolas graphed in the standard (x,y) coordinate plane

May 01, 2021

The 3 parabolas graphed in the standard (x,y) coordinate plane below are from a family of parabolas. A general equation that defines this family of parabolas contains the variable n in addition to x and y. For one of the parabolas shown, n = 1; for another, n = 2; and for the third, n = 3. Which of the following could be a general equation that defines this family of parabolas for all n ≥ 1 ?

  1. y = nx2 + 1
  2. y = 1/n x2 + 1
  3. y = x2 + n
  4. y = -nx2 + 1
  5. y = -1/n x2 + 1
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Which of the following matrix products is undefined

April 29, 2021

Four matrices are given below.

Which of the following matrix products is undefined?

  1. WX
  2. WY
  3. YZ
  4. XW
  5. XZ
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For all nonzero values of x, (12x^6 - 9x^2)/3x^2

April 27, 2021

For all nonzero values of x, (12x6 - 9x2)/3x2 = ?

  1. 4x3 - 3x
  2. 4x3 - 3
  3. 4x4 - 9x2
  4. 4x4 - 3x
  5. 4x4 - 3
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Diana is baking bread, and the original recipe calls for

April 25, 2021

Diana is baking bread, and the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will Diana use?

  1. 1 7/8
  2. 3 1/4
  3. 3 1/2
  4. 3 3/4
  5. 4
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Impact of Coronavirus Pandemic on Incoming High School Seniors

April 23, 2021

From the first cases of COVID-19 emerging in early February 2020 to the wave of school closings across the country in mid-March, the effects of the pandemic have been felt across the United States. Within a matter of weeks, schools closed and instruction moved into other formats.

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The table below shows the results of a survey of 250 people

April 21, 2021

The table below shows the results of a survey of 250 people who were asked whether they like to read and whether they play a musical instrument.

According to the results, what is the probability that a randomly selected person who was surveyed likes to read, given that the person plays a musical instrument?

  1. 1/5
  2. 5/9
  3. 5/11
  4. 9/25
  5. 11/25
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