ACT WorkKeys National Career Readiness Certificate (NCRC)

April 13, 2021

The NCRC is a nationally recognized credential that validates foundational workplace skills by measuring a range of hard and soft skills relevant to any occupation, at any level, and across industries.

After polling a class of 20 music students by a show of hands

April 11, 2021

After polling a class of 20 music students by a show of hands, you find that 8 students play the guitar and 9 students play the piano. Given that information, what is the minimum number of students in this music class who play both the guitar and the piano?

1. 0
2. 1
3. 8
4. 9
5. 17

Comparability Between Paper-Based and Computer-Based Testing for ACT

April 09, 2021

Three recent studies demonstrated that paper and online tests measure the same knowledge and skills, but students who test online tend to perform slightly better than students who test on paper, especially on the English, reading, and writing tests. ACT will equate scores across modes as needed to ensure that ACT scores can be treated as interchangeable regardless of testing mode.

During a snowstorm, the relationship between the depth of accumulated snow

March 28, 2021

During a snowstorm, the relationship between the depth of accumulated snow, y inches, and the elapsed time, x hours, was modeled by the equation 2x - 5y = -5. One of the following graphs in the standard (x, y) coordinate plane models the equation for positive values of x and y. Which one?

The table below gives experimental data values for variables x and y

March 25, 2021

The table below gives experimental data values for variables x and y. Theory predicts that y varies directly with x. Based on the experimental data, which of the following values is closest to the constant of variation?

(Note: The variable y varies directly with the variable x provided that y = kx for some nonzero constant k, called the constant of variation.)

1. -2.61
2. 0.05
3. 3.61
4. 15.90
5. 20.00

Temperatures measured in degrees Fahrenheit (F) are related to

March 22, 2021

Temperatures measured in degrees Fahrenheit (F) are related to temperatures measured in degrees Celsius (C) by the formula F = 9C/5 + 32. There is 1 value of x for which x degrees Fahrenheit equals x degrees Celsius. What is that value?

1. -72
2. -40
3. -32
4. 0
5. 32

In the complex numbers, where i^2 = -1

March 19, 2021

In the complex numbers, where i² = -1,

1/(1 + i) · (1 - i)/(1 - i) = ?

1. i - 1
2. 1 + i
3. 1 - i
4. (1 - i)/2
5. (1 + i)/2

For 20 quiz scores in a typing class, the table below gives the frequency of the scores

March 16, 2021

For 20 quiz scores in a typing class, the table below gives the frequency of the scores in each score interval. Which score interval contains the median of the scores?

1. 96-100
2. 91-95
3. 86-90
4. 81-85
5. 76-80

License plates on cars in a certain state consist of 3 letters

March 13, 2021

License plates on cars in a certain state consist of 3 letters taken from the 26 letters, A through Z, followed by 3 digits taken from the 10 digits, 0 through 9. Which of the following expressions gives the number of distinct license plates that are possible given that repetition of both letters and digits is allowed?

1. 10³ · 26³
2. (10 + 26)³
3. 2(26!)³(10!)³
4. (3 + 3)^{26 + 10}
5. (26! · 10!)³ + (26! · 10!)³

What is the amplitude of the function f(x) = 1/2 cos(3x + π)

March 10, 2021

What is the amplitude of the function f(x) = 1/2 cos(3x + π) ?

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

At a local post office, on average, 3 customers are in line when the post office closes

March 07, 2021

At a local post office, on average, 3 customers are in line when the post office closes each day. The probability, P, that exactly n customers are in line when the post office closes can be modeled by the equation P = (3ⁿe^-3)/n!. Given that e^-3 ≈ 0.05, which of the following values is closest to the probability that exactly 2 customers are in line when the post office closes?

1. 0.08
2. 0.11
3. 0.15
4. 0.23
5. 0.45

What is the length, in coordinate units, of the altitude from C to AB

March 04, 2021

What is the length, in coordinate units, of the altitude from C to AB in ΔABC shown in the standard (x,y) coordinate plane below?

1. 3
2. 5
3. 6
4. 10
5. 13