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
If 5 times a number n is subtracted from 15, the result is negative

June 25, 2022

If 5 times a number n is subtracted from 15, the result is negative. Which of the following gives the possible value(s) for n ?

  1. 0 only
  2. 3 only
  3. 10 only
  4. All n > 3
  5. All n < 3

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The temperature, t, in degrees Fahrenheit, in a certain town on a certain spring day

June 22, 2022

The temperature, t, in degrees Fahrenheit, in a certain town on a certain spring day satisfies the inequality ⎪t - 24⎪ ≤ 30. Which of the following temperatures, in degrees Fahrenheit, is NOT in this range?

  1. -10
  2. -6
  3. -5
  4. 0
  5. 54

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The scatterplot in the standard (x, y) coordinate plane below contains data points

June 19, 2022

The scatterplot in the standard (x, y) coordinate plane below contains data points showing a strong linear correlation between the variables x and y. Mia drew the line shown to model the data. One of the following equations represents Mia’s line. Which one?

  1. y = -3x + 8
  2. y = -3x + 10
  3. y = -2x + 10
  4. y = 2x + 10
  5. y = 2x + 8

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At a school picnic, 1 junior and 1 senior will be selected to lead the activities

June 16, 2022

At a school picnic, 1 junior and 1 senior will be selected to lead the activities. If there are 125 juniors and 100 seniors at the picnic, how many different 2-person combinations of 1 junior and 1 senior are possible?

  1. 25
  2. 100
  3. 125
  4. 225
  5. 12,500

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If f(x) = x^2 + x + 5 and g(x) = √x, then what is the value of g(4)/f(1)

June 13, 2022

If f(x) = x2 + x + 5 and g(x) = √x, then what is the value of g(4)/f(1)?

  1. 2/7
  2. 25/7
  3. 2/25
  4. 2
  5. 4

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The braking distance, y feet, for Damon's car to come to a complete stop is modeled by

June 10, 2022

The braking distance, y feet, for Damon's car to come to a complete stop is modeled by y = 3(x2 + 10x)/40, where x is the speed of the car in miles per hour. According to this model, which of the following is the maximum speed, in miles per hour, Damon can be driving so that the braking distance is less than or equal to 150 feet?

  1. 10
  2. 30
  3. 40
  4. 50
  5. 60

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A park has the shape and dimensions in blocks given below. A water fountain is located halfway between

June 07, 2022

A park has the shape and dimensions in blocks given below. A water fountain is located halfway between point B and point D. Which of the following is the location of the water fountain from point A ? (Note: The park’s borders run east-west or north-south.)

  1. 3½ blocks east and 6 blocks north
  2. 5 blocks east and 4½ blocks north
  3. 5 blocks east and 6 blocks north
  4. 8½ blocks east and 4½ blocks north
  5. 9 blocks east and 7½ blocks north

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In the right triangle shown below, which of the following statements is true about ∠A

May 28, 2022

In the right triangle shown below, which of the following statements is true about ∠A ?

  1. cos A = 12/13
  2. sin A = 12/13
  3. tan A = 12/13
  4. cos A = 13/12
  5. sin A = 13/12

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When graphed in the standard (x, y) coordinate plane

May 25, 2022

When graphed in the standard (x, y) coordinate plane, which of the following equations does not represent a line?

  1. x = 4
  2. 3y = 6
  3. x - y = 1
  4. y = 3x/4 - 2
  5. x2 + y = 5

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The depth of a pond is 180 cm and is being reduced by 1 cm per week

May 22, 2022

The depth of a pond is 180 cm and is being reduced by 1 cm per week. The depth of a second pond is 160 cm and is being reduced by 1/2 cm per week. If the depths of both ponds continue to be reduced at these constant rates, in about how many weeks will the ponds have the same depth?

  1. 10
  2. 20
  3. 40
  4. 80
  5. 140

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A machine part is diagrammed in the figure below with the dimensions given in inches

May 19, 2022

A machine part is diagrammed in the figure below with the dimensions given in inches. If the centers of the circles lie on the same line parallel to the bottom of the part, what is the distance, in inches, between the centers of the 2 holes in the machine part?

  1. 5 3/16
  2. 5 1/16
  3. 5
  4. 4 13/16
  5. 4 3/16

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What is the y-intercept of the line in the standard (x, y) coordinate plane

May 16, 2022

What is the y-intercept of the line in the standard (x, y) coordinate plane that goes through the points (-3, 6) and (3,2) ?

  1. 0
  2. 2
  3. 4
  4. 6
  5. 8

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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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