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.

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 ?

- 1/6
- 1/3
- 1
- 2
- 3 1/6

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 cm^{2}, 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.)

- 4
- 5
- 8
- 10
- 14

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 ?

Read more ...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?

- 0
- 3/4
- 4/3
- 3
- 4

May 05, 2021

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

F. 1/6

G. 3/2

H. 3

J. 4

K. 6

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?

- 65π/9
- 65π/18
- 130π/9
- 845π/18
- 1690π/9

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 ?

- y = nx
^{2}+ 1 - y = 1/n x
^{2}+ 1 - y = x
^{2}+ n - y = -nx
^{2}+ 1 - y = -1/n x
^{2}+ 1

April 29, 2021

Four matrices are given below.

Which of the following matrix products is undefined?

- WX
- WY
- YZ
- XW
- XZ

April 27, 2021

For all nonzero values of x, (12x^{6} - 9x^{2})/3x^{2} = ?

- 4x
^{3}- 3x - 4x
^{3}- 3 - 4x
^{4}- 9x^{2} - 4x
^{4}- 3^{x} - 4x
^{4}- 3

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 7/8
- 3 1/4
- 3 1/2
- 3 3/4
- 4

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.

Read more ...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?

- 1/5
- 5/9
- 5/11
- 9/25
- 11/25