Digital ACT Practice Questions
Access 905 official-caliber practice questions. Filter by subject or difficulty to pinpoint your cognitive blind spots.
In a circle centered at O, segment AB is a diameter. Point C lies on the circle such that angle CAB measures 35°. What is the measure of angle ABC?...
If matrix A = [[3, -2], [1, 4]] and matrix B = [[-1, 5], [2, 0]], what is the matrix 2A - 3B?...
What is the value of (3 + 2i)^2 in standard form a + bi?...
A radioactive isotope has a half-life of 8 days. If an initial laboratory sample contains 160 grams of the isotope, how many grams will remain after 32 days?...
Which of the following datasets has the greatest standard deviation?...
What is the equation of the tangent line to the circle x^2 + y^2 = 25 at the point (3, 4)?...
A 20-foot ladder leans against a vertical wall, making an angle of 70° with the level ground. Which of the following expressions represents the height, in feet,...
From a point on the ground 50 meters from the base of a monument, the angle of elevation to the top is 30°. What is the height of the monument in meters?...
What is the vertex of the parabola given by the equation y = -2x^2 + 12x - 11?...
If x = 2 is a root of the polynomial P(x) = x^3 - 4x^2 + x + 6, what are the other two roots?...
What is the measure of each exterior angle of a regular octagon (8-sided polygon)?...
In a biology course, homework counts for 20% of the final grade, midterm exams count for 50%, and the final exam counts for 30%. If Maya has an 85 homework aver...
In the standard xy-coordinate plane, what are the coordinates of the reflection of the point P(-3, 5) across the line y = x?...
What is the value of z in the solution to the system: x + y + z = 6, 2x - y + z = 3, and x + 2y - z = 2?...
What is the least common multiple (LCM) of the algebraic monomials 12x^3 y^2 and 18x^2 y^4?...
What is the value of (27/8)^(-2/3)?...
In triangle ABC, side a = 5, side b = 12, and angle A = 30°. How many distinct triangles can be formed with these measurements?...
In a circle with radius 10 cm, a chord has length 16 cm. What is the perpendicular distance, in centimeters, from the center of the circle to the chord?...
A committee of 3 people is to be selected from a group of 7 candidates: Alice, Bob, and 5 others. If Alice and Bob refuse to serve on the committee together, ho...
A cylinder and a cone have the exact same base radius r and height h. If the volume of the cylinder is 72pi cubic inches, what is the volume of the cone in cubi...
What are the coordinates of the point on the unit circle corresponding to an angle of 4pi/3 radians?...
Which conic section is represented by the equation 4x^2 - 9y^2 + 16x + 54y - 101 = 0?...
A lottery scratch-off ticket costs $2. The probabilities of winning various cash prizes are: $50 with probability 0.01, $10 with probability 0.05, and $2 with p...
Which fraction in simplest form is equal to the repeating decimal 0.545454... (0.54 with a bar over 54)?...
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