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

  1. English: 5 passages; 75 questions
  2. Mathematics: 60 questions
  3. Reading: 4 passages; 40 questions
  4. Science: 6 passages; 40 questions
Recent Updates
Ken baked, frosted, and decorated a rectangular cake for the last Math Club meeting

May 13, 2022

Ken baked, frosted, and decorated a rectangular cake for the last Math Club meeting. The cake was 3 inches high, 12 inches wide, and 16 inches long. He centered the cake on a piece of cardboard whose rectangular top surface had been covered with aluminum foil, as shown in the figure below.

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If 12x = -8(10 - x), then x = ?

May 10, 2022

If 12x = -8(10 - x), then x = ?

  1. 20
  2. 8
  3. 7 3/11
  4. 6 2/13
  5. -20

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Points B and C lie on AD as shown below. The length of AD is 30 units

May 07, 2022

Points B and C lie on AD as shown below. The length of AD is 30 units; AC is 16 units long; and BD is 20 units long. How many units long, if it can be determined, is BC?

  1. 4
  2. 6
  3. 10
  4. 14
  5. Cannot be determined from the given information 

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In the figure below, G is the center of the circle, LK is a diameter

May 04, 2022

In the figure below, G is the center of the circle, LK is a diameter, H lies on the circle, J lies outside the circle on LK, and JM is tangent to the circle at M. Which of the following angles or minor arcs has the greatest degree measure?

  1. arc LM
  2. arc MK
  3. ∠JMG
  4. ∠LHK
  5. ∠MJL

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What are the values for x that satisfy the equation (x + a)(x + b) = 0

March 31, 2022

What are the values for x that satisfy the equation (x + a)(x + b) = 0 ?

  1. -a and -b
  2. -a and b
  3. -ab
  4. a and -b
  5. a and b

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Absolute Valve: ⎪3(-2) + 4⎪ = ?

March 24, 2022

⎪3(-2) + 4⎪ = ?

  1. -2
  2. 2
  3. 5
  4. 9
  5. 10

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In the figure below, ΔABC and ΔDEF are similar triangles

March 17, 2022

In the figure below, ΔABC and ΔDEF are similar triangles with the given side lengths in meters. What is the perimeter, in meters, of ΔDEF ?

  1. 3
  2. 8
  3. 11
  4. 12
  5. 13

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The figure below shows quadrilateral ABCD. What is the measure of ∠C

March 10, 2022

The figure below shows quadrilateral ABCD. What is the measure of ∠C ?

  1. 120°
  2. 115°
  3. 105°
  4. 100°
  5. 80°

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Mele earned scores of 75, 70, 92, 95, and 97 points

March 03, 2022

Mele earned scores of 75, 70, 92, 95, and 97 points (a total of 429 points) on the first 5 tests in Economics II. Solving which of the following equations for s gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests?

  1. 429/5 + s = 85
  2. 429/6 + s = 85
  3. (s + 429)/5 = 85
  4. (s + 429)/6 = 85
  5. (s + 429)/6 = 85/100

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The 13-member math club needs to choose a student government representative

February 11, 2022

The 13-member math club needs to choose a student government representative. They decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club. What is the probability that Samara, who is a member of the club but NOT an officer, will be chosen?

  1. 0
  2. 1/13
  3. 1/10
  4. 3/13
  5. 1/3

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A museum offers a 2-hour guided group tour

February 04, 2022

A museum offers a 2-hour guided group tour. For groups with fewer than 25 people the cost is $9.25 per person; for groups with 25 people or more the cost is $8.50 per person. The 27 people in the 9:00 a.m. tour group each paid $9.25 in advance. What is the total refund that the museum owes the 9:00 a.m. group?

  1. $12.50
  2. $13.00
  3. $18.75
  4. $20.25
  5. $25.00

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The cost of a gym membership is a onetime fee of $140

January 28, 2022

The cost of a gym membership is a onetime fee of $140, plus a monthly fee of $40. Brendan wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?

  1. 3
  2. 4
  3. 9
  4. 12
  5. 13

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A restaurant occupying the top floor of a skyscraper rotates

January 21, 2022

A restaurant occupying the top floor of a skyscraper rotates as diners enjoy the view. Ling and Sarah notice that they began their meal at 7:00 p.m. looking due north. At 7:45 p.m. they had rotated 180° to a view that was due south. At this rate, how many degrees will the restaurant rotate in 1 hour?

  1. 90°
  2. 180°
  3. 240°
  4. 270°
  5. 400°

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ACT Reading Passage 04: It took humans thousands of years to explore our own planet

August 18, 2021

NATURAL SCIENCE: This passage is adapted from the article "Worlds Apart: Seeking New Earths" by Timothy Ferris (2009 by National Geographic Society).

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ACT Reading Passage 03: The images in the paintings of Winslow Homer

August 11, 2021

HUMANITIES: This passage is adapted from the article "Winslow Homer: His Melancholy Truth" by John A. Parks (2006 by VNU Business Media).

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ACT Reading Passage 02: The horseless carriage was just arriving

August 04, 2021

SOCIAL SCIENCE: Passage A is adapted from the book Seabiscuit: An American Legend by Laura Hillenbrand (2001). Passage B is adapted from the article "The Flop Heard Round the World" by Peter Carlson (2007 by The Washington Post).

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ACT Reading Passage 01: I don’t remember how I came to know this story

July 28, 2021

LITERARY NARRATIVE: This passage is adapted from the novel - A Map of Home, by Randa Jarrar (2008).

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ACT English Passage 05: James Forten, Revolutionary Sailmaker

July 21, 2021

[1] "I have been taken prisoner for the liberties of my country, and never will prove a traitor to her interests." [A] Before entering a British-run prison during the American Revolution prisoner of war, James Forten, (61) said these words as a patriotic rejection of his British captor's offer to free him and educate him in England.

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ACT English Passage 04: The Walls of Rome

July 13, 2021

[1] Rome, founded on the banks of the Tiber River, boasts two ancient walls that, when they were built, surrounded the city. [A] Although both were built as walls intended to defend the city protectively (46) and stood ten meters tall they (47) were erected under different historical circumstances.

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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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