Digital ACT Practice Questions
Access 292 official-caliber practice questions. Filter by subject or difficulty to pinpoint your cognitive blind spots.
A sample of Radon-222, commonly utilized as a subterranean geological tracer, exhibits an initial radioactivity of $1600\text{ megabecquerels (MBq)}$. The half-...
What is the domain of the real-valued function $f(x) = \frac{\sqrt{4x - 12}}{x - 7}$?...
In a geometric sequence of positive real numbers, the third term is $18$ and the sixth term is $486$. What is the first term of this sequence?...
If $\tan(\alpha) = \frac{4}{3}$ and $\pi < \alpha < \frac{3\pi}{2}$, what is the value of $\sin(2\alpha)$?...
A circle in the standard $(x,y)$-coordinate plane has the equation $x^2 + y^2 - 6x + 8y - 11 = 0$. What is the length of the radius of this circle?...
How many integers between $100$ and $999$, inclusive, are divisible by both $6$ and $9$?...
If $\log_{10}(x) = 2$ and $\log_{10}(y) = -3$, what is the value of $\log_{10}\left(\frac{100x^3}{\sqrt{y}}\right)$?...
What is the area, in square units, of the triangle in the standard $(x,y)$-coordinate plane with vertices at $(0, 0)$, $(6, 2)$, and $(4, 8)$?...
A fair six-sided die is rolled three times. What is the probability that the numbers rolled strictly increase (that is, the second roll is greater than the firs...
If the polynomial $f(x) = x^3 - 3x^2 + 4x - 12$ has a real root at $x = 3$, what are the other two roots of $f(x)$?...
In $\triangle XYZ$, the measure of $\angle X$ is $45^\circ$, the measure of $\angle Y$ is $30^\circ$, and the side opposite $\angle Y$ has length $10\sqrt{2}$. ...
If $z = 3 - 4i$ where $i = \sqrt-1$, what is the absolute value (modulus) of $z$, denoted $|z|$?...
If $z = 5 + 12i$ where $i = \sqrt-1$, what is the absolute value (modulus) of $z$, denoted $|z|$?...
If $z = 8 - 15i$ where $i = \sqrt-1$, what is the absolute value (modulus) of $z$, denoted $|z|$?...
If $z = 7 + 24i$ where $i = \sqrt-1$, what is the absolute value (modulus) of $z$, denoted $|z|$?...
If $z = 9 - 40i$ where $i = \sqrt-1$, what is the absolute value (modulus) of $z$, denoted $|z|$?...
In triangle ABC, side a = 7, side b = 9, and the measure of angle C is 60°. What is the length of side c?...
For what value of k does the matrix [[3, k], [4, 12]] have a determinant equal to 0?...
Given that i = sqrt(-1), what is the value of the expression i^43 + i^44 + i^45 + i^46?...
If log_3(x - 2) + log_3(x + 6) = 2, what is the value of x?...
In an arithmetic sequence, the 4th term is 19 and the 10th term is 49. What is the 25th term of this sequence?...
What is the sum of the infinite geometric series 18 - 12 + 8 - 16/3 + ...?...
A school debate team consists of 6 seniors and 5 juniors. How many different 4-person squads can be formed that contain exactly 2 seniors and 2 juniors?...
If vector u = and vector v = , what is the dot product u · v?...
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