##### 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

#### The Kam Wah Chung & Co. Museum

September 23, 2022

To the casual observer, the Kam Wah Chung & Co. building, located in the eastern Oregon community of John Day, that is, (1) simply a small, unassuming structure made of rock and wood. To those with an interest in history, however, it’s a unique
building that preserves a part of the legacy of the Chinese community in the nineteenth-century American West. (2)

#### Jennifer’s best long jump distance increased by 10% from 1990 to 1991

September 17, 2022

Jennifer's best long jump distance increased by 10% from 1990 to 1991 and by 20% from 1991 to 1992. By what percent did her best long jump distance increase from 1990 to 1992 ?

1. 32%
2. 30%
3. 20%
4. 15%
5. 2%

#### If loga x = s and loga y = t, then loga (xy)^2

September 14, 2022

If loga x = s and loga y = t, then loga (xy)2 = ?

1. 2(s + t)
2. s + t
3. 4st
4. 2st
5. st

#### A simple pendulum consists of a small mass suspended from a string that is fixed

September 11, 2022

A simple pendulum consists of a small mass suspended from a string that is fixed at its upper end and has negligible mass. The length of time, t seconds, for a complete swing of a simple pendulum can be modeled by the equation t = 2π√(L/32), where L is the length, in feet, of the string. If the time required for a complete swing of Pendulum 1 is triple the time required for a complete swing of Pendulum 2, the length of Pendulum 1's string is how many times the length of Pendulum 2's string?

1. 1/3
2. 3
3. 6
4. 9
5. 27

#### Vectors AB and CD are shown in the standard (x,y) coordinate plane below

September 08, 2022

Vectors AB and CD are shown in the standard (x,y) coordinate plane below. One of the following is the unit vector notation of the vector AB + CD. Which one?

1. -6i + 3j
2. 3i - 1j
3. 3i + 9j
4. 9i + 1j
5. 9i + 11j

#### Which of the following expressions gives the number of permutations of 15 objects taken 5 at a time

September 05, 2022

Which of the following expressions gives the number of permutations of 15 objects taken 5 at a time?

1. 15(5)
2. (15 - 5)!
3. 15!/5!
4. 15!/(15 - 5)!
5. 15!/(5!)(15 - 5!)

#### On his first day as a telemarketer, Marshall made 24 calls

September 02, 2022

On his first day as a telemarketer, Marshall made 24 calls. His goal was to make 5 more calls on each successive day than he had made the day before. If Marshall met, but did not exceed, his goal, how many calls had he made in all after spending exactly 20 days making calls as a telemarketer?

1. 670
2. 690
3. 974
4. 1,430
5. 1,530

#### Triangle ABC has vertices A(8,2), B(0,6), and C(-3,2)

August 30, 2022

Triangle ABC has vertices A(8,2), B(0,6), and C(-3,2). Point C can be moved along a certain line, with points A and B remaining stationary, and the area of ABC will not change. What is the slope of that line?

1. -1/2
2. -3/4
3. 0
4. 4/3
5. 2

#### In the figure below, all line segments are either horizontal or vertical

August 27, 2022

In the figure below, all line segments are either horizontal or vertical and the dimensions given are in inches. What is the perimeter, in inches, of the figure?

1. 10
2. 12
3. 13
4. 14
5. 16

#### Cross-Cutting Capabilities: Transferable Skills for the 21st Century

August 24, 2022

As the global economy transforms into a knowledge-based society with an enhanced focus on information and innovation, success will depend on the ability of global citizens to work effectively with knowledge and technology.

#### In the figure below, A, C, F, and D are collinear; B, C, and E are collinear

August 21, 2022

In the figure below, A, C, F, and D are collinear; B, C, and E are collinear; and the angles at A, E, and F are right angles, as marked. Which of the following statements is NOT justifiable from the given information?

1. AB is parallel to EF
2. DE is perpendicular to BE
3. ∠ACB is congruent to ∠FCE
4. ΔBAC is similar to ΔEFC
5. CE is congruent to ED

#### Which of the following expressions, if any, are equal for all real numbers x

August 18, 2022

Which of the following expressions, if any, are equal for all real numbers x ?

1. √(-x)2
2. ⎪-x⎪
3. -⎪x⎪
1. I and II only
2. I and III only
3. II and III only
4. I, II, and III
5. None of the expressions are equivalent

#### In the standard (x,y) coordinate plane below, an angle is shown whose vertex is the origin

August 15, 2022

In the standard (x,y) coordinate plane below, an angle is shown whose vertex is the origin. One side of this angle with measure θ passes through (4,-3), and the other side includes the positive x-axis. What is the cosine of θ ?

1. -4/3
2. -3/4
3. -3/5
4. 4/5
5. 5/4

#### Let A and B be independent events. Denote P(A) as the probability that Event A will occur

August 12, 2022

Let A and B be independent events. Denote P(A) as the probability that Event A will occur, and denote P(A ∩ B) as the probability that Events A and B will both occur. Which of the following equations must be true?

1. P(A) = P(B)
2. P(A) = 1 - P(B)
3. P(A ∩ B) = P(A) + P(B)
4. P(A ∩ B) = P(A) · P(B)
5. P(A ∩ B) = P(A) + P(B) - (P(A) · P(B))

#### A restaurant has 10 booths that will seat up to 4 people each

August 09, 2022

A restaurant has 10 booths that will seat up to 4 people each. If 20 people are seated in booths, and NO booths are empty, what is the greatest possible number of booths that could be filled with 4 people?

1. 0
2. 1
3. 2
4. 3
5. 5

#### Shima will mix 1 fluid ounce of fertilizer in water

August 06, 2022

Shima will mix 1 fluid ounce of fertilizer in water for every 40 square feet of soil. At this rate, which of the following expressions gives the number of gallons of fertilizer that Shima will mix in water for 0.5 acres of soil?

(Note: 1 acre = 43,560 square feet; 1 gallon = 128 fluid ounces)

1. $$\frac{0.5(40)(128)}{43,560}$$
2. $$\frac{40(128)}{0.5(43,560)}$$
3. $$\frac{0.5(43,560)}{40(128)}$$
4. $$\frac{43,560}{0.5(40)(128)}$$
5. $$\frac{0.5(43,560)(40)}{128}$$

#### Let a equal 2b + 3c - 5. What happens to the value of a if

August 03, 2022

Let a equal 2b + 3c - 5. What happens to the value of a if the value of b decreases by 1 and the value of c increases by 2 ?

1. It increases by 4.
2. It increases by 2.
3. It increases by 1.
4. It is unchanged.
5. It decreases by 2.

#### What is the degree measure of the smaller of the 2 angles

July 31, 2022

What is the degree measure of the smaller of the 2 angles formed by the line and the ray shown in the figure below?

1. 14°
2. 28°
3. 29°
4. 58°
5. Cannot be determined from the given information

#### What is the matrix product $$\begin{bmatrix} a \\ 2a \\ 3a \end{bmatrix} \begin{bmatrix} 1 & 0 & -1 \end{bmatrix}$$

July 28, 2022

What is the matrix product $$\begin{bmatrix} a \\ 2a \\ 3a \end{bmatrix} \begin{bmatrix} 1 & 0 & -1 \end{bmatrix}$$ ?

1. $$\begin{bmatrix} a & 0 & -a \\ 2a & 0 & -2a \\ 3a & 0 & -3a \end{bmatrix}$$
2. $$\begin{bmatrix} a & 2a & 3a \\ 0 & 0 & 0 \\ -a & -2a & -3a \end{bmatrix}$$
3. $$\begin{bmatrix} 2a & 0 & -2a \end{bmatrix}$$
4. $$\begin{bmatrix} 6a & 0 & -6a \end{bmatrix}$$
5. $$\begin{bmatrix} 0 \end{bmatrix}$$

#### A certain hotel has 80 rooms. Based on many previous years' occupancy rates

July 25, 2022

A certain hotel has 80 rooms. Based on many previous years' occupancy rates, the owners of the hotel constructed the table below showing the daily occupancy rates and their probabilities of occurring for the coming summer season. Based on the probability distribution in the table, to the nearest whole number, what is the expected number of rooms that will be occupied on any day during the coming summer season?

1. 20
2. 25
3. 58
4. 60
5. 75

#### A certain perfect square has exactly 4 digits (that is, it is an integer between 1,000 and 9,999)

July 22, 2022

A certain perfect square has exactly 4 digits (that is, it is an integer between 1,000 and 9,999). The positive square root of the perfect square must have how many digits?

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

#### For every pair of natural numbers n and m

July 19, 2022

For every pair of natural numbers n and m, to which of the following sets must n + m belong?

1. The natural numbers
2. The integers
3. The rational numbers
4. The real numbers
5. The complex numbers
1. I, II, and III only
2. II, III, and IV only
3. III, IV, and V only
4. II, III, IV, and V only
5. I, II, III, IV, and V

#### In the standard (x, y) coordinate plane below, the points (0, 0), (10, 0), (13, 6), and (3, 6)

July 16, 2022

In the standard (x, y) coordinate plane below, the points (0, 0), (10, 0), (13, 6), and (3, 6) are the vertices of a parallelogram. What is the area, in square coordinate units, of the parallelogram?

1. 30
2. 60
3. 30√3
4. 30√5
5. 60√5

#### After visiting Florida State University during spring break, Francisco rents a car for 2 days

July 13, 2022

After visiting Florida State University during spring break, Francisco rents a car for 2 days to travel around Florida. He has $255 to spend on car rental for the 2 days. Sea Horse Car Rental charges$50 per day and $0.25 per mile. Ocean Blue Car Rental charges$60 per day and \$0.20 per mile. Which company, if either, allows him to travel more miles for the 2 days, and how many miles more? (Note: Taxes are already included in the rental charges.)

1. Sea Horse, 20
2. Ocean Blue, 55
3. Ocean Blue, 100
4. Sea Horse, 135
5. Francisco would get the same maximum number of miles from each company.