Digital SAT Practice Questions

The absolute value inequality \( |kx - 12| \le c \) has a solution set of \( -2 \le x \le 8 \), where \( k \) and \( c \) are positive constants. What is the va...

A solid glass right circular cone has a height of \( H \) centimeters. A horizontal cut parallel to the base separates the solid cone into a smaller top cone an...

In paleoclimatology, the ratio of Carbon-13 to Carbon-12 isotopes found in the calcium carbonate shells of marine foraminifera serves as a vital proxy for histo...

Text 1 Mid-century critics of Abstract Expressionism often dismissed the movement—and its vanguard, Jackson Pollock—as a chaotic rebellion devoid of foundationa...

In attempting to synthesize a novel superconducting material at room temperature, the research team meticulously calibrated the high-pressure diamond anvil cell...

Despite the irrefutable DNA evidence presented by the prosecution, the defense attorney remained _______, continuing to argue her client's innocence with an uny...

During the Renaissance, many European scholars believed that classical Greek and Roman texts contained an unassailable, static repository of universal truths. M...

In the \( xy \)-plane, the system of equations is given by: \[ x^2 + y^2 - 8x + 6y + c = 0 \] \[ 3x - 4y = 12 \] where \( c \) is a constant. For what value of ...

The function \( f \) is defined by \( f(x) = ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants. In the \( xy \)-plane, the vertex of the parab...

A right rectangular prism has a total surface area of \( 144 \) and a space diagonal of length \( \sqrt{52} \). What is the sum of the lengths of all 12 edges o...

In a certain animal population, \( 40\% \) of the individuals exhibit Trait A, and \( 30\% \) of the individuals exhibit Trait B. The event of an individual exh...

In the \( xy \)-plane, the terminal side of an angle of measure \( \theta \) radians in standard position intersects the unit circle at point \( P \). The termi...

Linguist Dr. Aris Thorne theorizes that 'semantic bleaching'—the process by which a word entirely loses its original, nuanced meaning—is accelerated primarily b...

The deciphering of Linear B, a syllabic script used for writing Mycenaean Greek, was recognized as a monumental historical achievement in the mid-twentieth cent...

In a neurobiological experiment investigating memory consolidation, laboratory mice were trained to navigate a complex spatial maze. Immediately afterward, half...

Text 1 While many critics laud modernist architecture for its strict functionalist ethos and rejection of superficial ornamentation, they fundamentally ignore t...

The corporate board of directors ultimately found the CEO’s explanation for the catastrophic quarterly losses to be entirely _______; rather than directly addre...

The polynomial \( P(x) = x^4 + c x^3 + d x^2 + c x + 1 \), where \( c \) and \( d \) are real constants, has \( x = 1 + i \) as a root (where \( i = \sqrt{-1} \...

A circle in the \( xy \)-plane is given by the equation \[ x^2 + y^2 - 14x - 6y + 33 = 0 \] Line \( L \) is tangent to the circle at the point \( (10, 7) \). Li...

A radioactive isotope decays such that its mass decreases by \( p\\% \) every \( h \) hours. If the mass of the isotope decreases by \( q\\% \) every \( 3h \) h...

How many integers \( x \) satisfy the inequality \[ |x^2 - 12x + 20| \le -x^2 + 12x - 20 \]?...

The circle \( C \) in the \( xy \)-plane is given by the equation \[ x^2 + y^2 = 36 \] A triangle is formed by the origin \( O(0,0) \), the point \( A(6, 0) \),...

Linguist Dr. Aris Thorne argues that the rapid syntactic stabilization of "creole" languages—which are born from simplified "pidgin" languages used for trade—is...

Though her execution of the Chopin nocturne was flawless, exhibiting a mastery of timing and dynamics that left rival pianists in awe, the resulting performance...