Digital SAT Practice Questions

A data set consists of 15 distinct integers. The median of the data set is 40, and the range is 50. If the highest and lowest integers are both removed to form ...

In the \( xy \)-plane, an angle \( \theta \) in standard position has its terminal ray intersecting the unit circle at point \( P \). The x-coordinate of point ...

Let \( P(x) = x^3 + ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants. When \( P(x) \) is divided by \( x - 2 \), the remainder is \( 14 \). W...

A circle in the xy-plane has the equation \( x^2 + y^2 - 6x + 8y = c \), where \( c \) is a constant. If the circle intersects the y-axis at exactly one point, ...

The population of a certain bacteria colony is currently \( P \). The population is projected to decrease by \( x\% \) each day for the next 5 days, and then in...

In the xy-plane, an angle with measure \( \theta \) radians is in standard position, and its terminal side passes through the point \( (-\sqrt{3}, 1) \). The te...

Consider the system of equations below: \[ y = ax^2 + bx + c \] \[ y = mx + k \] In the system of equations above, \( a, b, c, m, \) and \( k \) are constants, ...

Evolutionary biologist Dr. Aris Vlahos argues that bioluminescence in the deep-sea cephalopod genus *Vampyroteuthis* did not primarily evolve as a predatory lur...

Text 1 Utilitarianism, as articulated by John Stuart Mill, posits that the morality of an action is determined by its capacity to maximize overall happiness. Cr...

In her analysis of nineteenth-century European diplomacy, historian Margaret MacMillan cautions against viewing the outbreak of war as an inevitable consequence...

Often celebrated for its stunning bioluminescence, the *Aequorea victoria* jellyfish utilizes a specialized green fluorescent protein (GFP) to emit light. By is...

The architectural philosophy of Brutalism is frequently criticized for its imposing, monolithic concrete structures, which many modern observers find cold, alie...

Radiocarbon dating of artifacts from the ancient Mesoamerican city of Teotihuacan shows that the foundational construction of the massive Sun Pyramid occurred n...

The philosopher’s prose is notoriously __________, requiring even the most seasoned academic readers to meticulously decode layers of arcane syntax and obscure ...

The shadow stretches cross the lawn, Not to consume, but to preserve; It shields the tender shoots of dawn From summer’s harsh and blinding curve. And though th...

During the 1920s, the emergence of quantum mechanics challenged the deterministic foundations of classical physics. The Heisenberg Uncertainty Principle, formul...

A team of agronomists tested the drought resistance of three genetically modified maize variants (Variant A, Variant B, and Variant C) against a traditional str...

The system of equations is given by \[ y = a x^2 + b \] \[ x^2 + y^2 = r^2 \] Let \( a \), \( b \), and \( r \) be positive constants such that \( b = r \). How...

The equation below is true for all \( x eq \frac{3}{a} \): \[ \frac{2x^2 + bx + c}{ax - 3} = -4x + 5 + \frac{R}{ax - 3} \] where \( a \), \( b \), \( c \), and ...

A circle in the \( xy \)-plane has the equation \( x^2 + y^2 - 2hx + 4ky + 100 = 0 \), where \( h \) and \( k \) are positive constants such that \( h = 3k \). ...

Solution X contains \( p \% \) acid by volume, and Solution Y contains \( q \% \) acid by volume. If \( x \) gallons of Solution X are mixed with \( y \) gallon...

The function \( f \) is defined by \( f(x) = c \cdot d^x \), where \( c \) and \( d \) are positive constants. The graph of \( y = f(x) \) in the \( xy \)-plane...

A literary critic argues that author Elena Vargas’s later novels abandon the rigid chronological structuralism of her early work, adopting instead a fluid, frag...

Text 1 During the 1920s, municipal governments across the United States aggressively implemented Euclidean zoning laws. Proponents of these laws argued that sep...