Digital SAT Practice Questions

A dataset consists of 11 distinct positive integers. The median of the dataset is 20, and the arithmetic mean is 25. What is the maximum possible value of the l...

The function \( f(x) = a \sin(bx) + c \), where \( a \), \( b \), and \( c \) are positive constants, models a physical phenomenon. The maximum value of \( f(x)...

While neo-Darwinian evolutionary theory long posited that random genetic mutations are the sole driver of inherited phenotypic variation, recent research into e...

Text 1 During an economic recession characterized by a liquidity trap, consumer spending plummets and private investment stagnates. In such scenarios, classical...

Elias possessed a generosity that was, to the untrained eye, entirely boundless. He funded the town’s orphanage, underwrote the municipal theater, and personall...

During the 19th century, the advent of synthetic dyes severely threatened the agricultural economy of indigo farmers in India, as European textile manufacturers...

While researching the effects of dietary supplements on cognitive performance, a student took the following notes: • A 2022 study by Dr. Aris Thorne (Study X) i...

The system of equations is given by \( y = 2x^2 - kx + 5 \) and \( y = 3x - 7 \), where \( k \) is a constant. For which of the following values of \( k \) does...

The polynomial \( p(x) = ax^3 + bx^2 + cx + d \) has distinct zeros at \( x = -2 \), \( x = 1 \), and \( x = 3 \). The polynomial \( q(x) \) is defined as \( q(...

If \( 8^{x+y} = 16^{x-y} \) and \( 9^{x} = 27^{y+2} \), what is the value of \( x + y \)?...

In a certain high school, the ratio of the number of juniors to the number of seniors is \( 3:2 \). The average (arithmetic mean) score on a standardized test f...

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

Recent laboratory studies of the *Lumbricus rubellus* earthworm suggest that certain physiological adaptations to heavy metal soil toxicity can be passed down t...

Despite his meticulously cultivated public persona as a spontaneous, free-spirited creator, the acclaimed architect's actual design process is surprisingly ____...

Astrophysicists long hypothesized that if dark matter is composed of Weakly Interacting Massive Particles (WIMPs), then highly sensitive underground detectors s...

In the intricate tapestry of Renaissance Florence’s political landscape, beyond the absolute financial supremacy of the Medici bank ______ the shifting, unpredi...

During the 19th century, the prevailing scientific consensus maintained that the deep ocean was a barren, lifeless abyss, as the complete lack of sunlight and c...

In the \( xy \)-plane, the graphs of the equations \( y = cx^2 - 4x + 5 \) and \( y = 2x + b \) intersect at exactly one point. Which of the following equations...

A circle with center \( O \) has a radius of \( 12 \). Points \( A \) and \( B \) lie on the circle such that the length of the minor arc \( AB \) is \( 10\pi \...

The polynomial \( p(x) = x^3 + kx^2 + mx + 24 \) is divisible by \( (x - 2) \). When \( p(x) \) is divided by \( (x - 1) \), the remainder is \( 30 \). What is ...

If \( x > 1 \) and the equation \[ \frac{\sqrt[3]{x^a}}{\sqrt[4]{x^b}} = x^2 \] is true, and it is also given that \( 2a + 3b = 30 \), what is the value of \( a...

In a certain school district, all high schools are classified as either Category A or Category B. The Category A schools have an average of \( 400 \) students p...

Although the senator cultivated a public image of unyielding moral clarity, his private correspondence revealed a far more _______ character. He consistently ta...

The city at night is a circulatory system of neon and asphalt. Vehicles pump through the arterial highways, delivering frantic bursts of life to the extremities...