Digital ACT Practice Questions

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)?...

Vector A = and vector B = . What is the magnitude of the vector A + B?...

What is the maximum value of the function f(x) = -x^2 + 6x - 2 on the closed interval [0, 5]?...

In triangle ABC, side b = 10, side c = 14, and the measure of angle A is 30°. What is the area of triangle ABC in square units?...

For two positive numbers 4 and 36, what is the positive difference between their arithmetic mean and their geometric mean?...

An electronics retailer marks down the price of a laptop by 20%. During a holiday weekend promotion, the store takes an additional 15% off the already discounte...

What is the determinant of the 2x2 matrix \(\begin{pmatrix} 5 & -3 \\ 4 & 2 \end{pmatrix}\)?...

If \(\cos \theta = -\frac{5}{13}\) and \(\pi < \theta < \frac{3\pi}{2}\), what is the value of \(\tan \theta\)?...

In \(\triangle PQR\), the measure of \(\angle P = 45^\circ\), the measure of \(\angle Q = 30^\circ\), and side \(p = 10\sqrt{2}\). What is the length of side \(...

What is the complex quotient \(\frac{4 + 2i}{1 - i}\), where \(i = \sqrt{-1}\)?...

The third term of a geometric sequence is 18 and the sixth term is 486. What is the first term of this sequence?...