Digital ACT Practice Questions
Access 553 official-caliber practice questions. Filter by subject or difficulty to pinpoint your cognitive blind spots.
Three geochemists debate the primary trigger of the Cretaceous-Paleogene (K-Pg) boundary mass extinction 66 million years ago. Scientist 1 The extinction was ca...
For the imaginary unit \( i = \sqrt{-1} \), which of the following expressions is equivalent to: \[ \frac{5 + 2i}{3 - 4i} \]?...
Matrix \( A \) is defined as \( \begin{pmatrix} 2k & 4 \\ 3 & k-1 \end{pmatrix} \). For which of the following values of \( k \) will Matrix \( A \) have no mat...
In triangle \( \triangle PQR \), the length of \( PQ = 7 \), \( QR = 10 \), and the measure of \( \angle PQR = 120^\circ \). What is the exact length of side \(...
**Study on Enzyme Catalase Kinetics** An aqueous solution of catalase was incubated with hydrogen peroxide (\( H_2O_2 \)) at various temperatures and pH levels....
Astronomer Maria Mitchell, who discovered Comet 1847 VI using a two-inch reflecting **telescope, was awarded a gold medal** by the King of Denmark for her break...
A quadratic function \( f(x) = ax^2 + bx + c \) has a minimum value of \( -4 \) at \( x = 1 \). If \( f(0) = -3 \), what is the value of \( a+b+c \)?...
A study investigates the effect of two different herbicides (Herbicide X and Herbicide Y) on the growth of a specific weed species (Weed Z) under varying soil p...
A small, specialized library contains a collection of 6 distinct historical fiction novels and 4 distinct non-fiction biographies. A student, unaware of the spe...
If $i = \sqrt{-1}$, what is the value of the complex expression $\frac{5 - 3i}{2 + 4i}$ in standard form $a + bi$?...
A committee of $4$ students is to be randomly selected from a pool of $7$ seniors and $5$ juniors. What is the probability that the committee contains exactly $...
Given the $2 \times 2$ matrix $M = \begin{bmatrix} x & 3 \\ 4 & x - 1 \end{bmatrix}$, for what positive value of $x$ is the determinant of $M$ equal to $8$?...
What is the remainder when the polynomial $P(x) = 2x^4 - 5x^3 + 3x - 7$ is divided by $(x - 2)$?...
If $\sin(\theta) = -\frac{5}{13}$ and $\tan(\theta) > 0$, what is the exact value of $\cos(\theta)$?...
What is the sum of the infinite geometric series $18 - 12 + 8 - \frac{16}{3} + \cdots$?...
The volume of a sphere is $288\pi$ cubic units. What is the surface area, in square units, of this sphere?...
Two biochemists debate the mechanism of enzyme inhibition for Enzyme X in the presence of Inhibitor Y: • Scientist 1 claims that Inhibitor Y is a competitive in...
A planetary geology team analyzes core samples from three Martian craters (Crater X, Y, and Z) to determine relative age based on impact crater density and mine...
The following passage is adapted from an essay on maritime archaeology: "The excavation of the Uluburun shipwreck, dating to the late fourteenth century BCE, re...
The author characterizes the cargo of the Uluburun shipwreck primarily as evidence of: (Based on the maritime archaeology passage)...
In the standard $(x,y)$-coordinate plane, the line $3x - 4y = 12$ is perpendicular to the line passing through points $(2, -1)$ and $(5, k)$. What is the value ...
If $\log_b(3) = x$ and $\log_b(5) = y$, what is the value of $\log_b(45\sqrt{b})$ expressed in terms of $x$ and $y$?...
A right circular cone and a right circular cylinder have equal heights and equal base radii. If the volume of the cylinder is $54\pi$ cubic centimeters, what is...
For what value of $\theta$, where $0 \le \theta \le \pi$, does $\sin(2\theta) = \cos(\theta)$ have the greatest number of solutions?...
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