Digital ACT Practice Questions
Access 107 official-caliber practice questions. Filter by subject or difficulty to pinpoint your cognitive blind spots.
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?...
In an arithmetic sequence, the 4th term is 19 and the 10th term is 49. What is the 25th term of this sequence?...
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?...
For all values of theta where the expression is defined, which of the following is equivalent to (1 - sin^2(theta)) / (cos(theta) * sin(theta))?...
A carnival game charges $5 to play. A player draws one marble from a bag containing 3 gold marbles, 7 silver marbles, and 10 black marbles. Drawing a gold marbl...
In triangle PQR, the measure of angle P is 45°, the measure of angle Q is 30°, and the side opposite angle Q has length 12. What is the length of side p, which ...
In three-dimensional space, what is the distance between the points A(2, -1, 5) and B(5, 3, -7)?...
What is the exact value of tan(5pi/3)?...
What is the real solution to the equation sqrt(2x + 15) - x = 0?...
A circle in the standard xy-coordinate plane is given by the equation x^2 + y^2 - 8x + 6y - 11 = 0. What is the radius of this circle?...
If matrix A = [[2, -1], [0, 3]] and matrix B = [[4, 1], [-2, 5]], what is the entry in row 1, column 2 of the product matrix AB?...
When the polynomial P(x) = 2x^3 - 5x^2 + 4x - 9 is divided by (x - 3), what is the remainder?...
What is the value of the expression log_2(64) - log_5(125) + log_3(sqrt(27))?...
How many distinct 6-letter permutations can be formed using the letters in the word BANANA?...
In a high school senior class of 200 students, 120 take AP Calculus, 90 take AP Physics, and 50 take both. If a student is selected at random from the students ...
Want an authentic test day experience?
Take our adaptive diagnostic test with live countdown timers, official break screens, and an embedded Desmos graphing calculator.