Digital SAT Practice Questions

While researching insect mating habits, a student has taken the following notes: - The *Mantis religiosa* (European praying mantis) is renowned for sexual canni...

The system of equations is given by: \[ y = 3x^2 - kx + 12 \] \[ y = 2x - 4 \] where \( k \) is a constant. For which of the following values of \( k \) does th...

Which of the following represents all valid real solutions to the equation? \[ \frac{x^2 - 2x - 8}{x - 4} = \sqrt{2x + 5} \]...

A circle in the \( xy \)-plane has the equation \( x^2 + y^2 - 10x + 6y + 18 = 0 \). A straight line passing through the center of the circle intersects the cir...

In a certain school district, the average (arithmetic mean) test score for High School A is \( 84 \), and the average test score for High School B is \( 72 \). ...

The polynomial \( p(x) = ax^3 + bx^2 + cx + d \) has roots at \( x = -2 \), \( x = 3 \), and \( x = 5 \). If \( p(x) \) is divided by \( x - 4 \), the remainder...

In 1919, British astrophysicist Arthur Eddington led an expedition to measure the deflection of starlight by the Sun's gravity during a solar eclipse, a test pr...

Text 1 The introduction of species to new environments—a phenomenon known as neobiota—is almost universally detrimental to native ecosystems. Lacking natural pr...

The stylistic evolution of mid-century modernist architecture was heavily debated by critics of the era. Not only ________ the aesthetic principles of the Bauha...

During the Cambrian explosion roughly 540 million years ago, the Earth's oceans witnessed an unprecedented diversification of multicellular life forms. The foss...

Researchers studying the auditory processing of the Eptesicus fuscus (big brown bat) have discovered that the bat’s auditory cortex contains neurons highly spec...

A radioactive isotope decays such that its mass, \( M(t) \), in grams, after \( t \) years is given by the function \( M(t) = M_0 (0.5)^{\frac{t}{h}} \), where ...

A circle in the \( xy \)-plane has the equation \[ x^2 + y^2 - 6x + 8y = 75 \] A line with the equation \( y = mx + b \) is tangent to the circle at the point \...

The quadratic equation \[ 3x^2 + px + q = 0 \] where \( p \) and \( q \) are constants, has roots \( x = \frac{-2 + \sqrt{10}}{3} \) and \( x = \frac{-2 - \sqrt...

A data set consists of 50 positive integers. The mean of this data set is \( m \), and the standard deviation is \( s \). A new data set is formed by multiplyin...

The function \( f(x) = a \sin(bx + c) + d \) has a maximum value of \( 12 \) and a minimum value of \( 2 \) in the \( xy \)-plane. The period of the function is...

Despite his reputation in the press as a ruthless corporate raider obsessed with his own legacy, Marcus Sterling’s philanthropic efforts were far from ________;...

In atmospheric chemistry, the hydroxyl radical (OH) acts as a critical 'detergent,' breaking down trace gases like methane. However, OH is highly reactive and e...

Text 1 Critics of the gig economy often argue that the model fundamentally exploits workers by classifying them as independent contractors, thereby stripping th...

Hidden beneath the dense, humid canopy of the northern Guatemalan rainforest ________ the remnants of a sprawling Mayan megalopolis, a discovery that is current...

The phenomenon known as quantum entanglement ________ puzzled physicist Albert Einstein, who famously expressed his skepticism of the concept by referring to it...

The polynomial \( P(x) = x^4 - 3x^3 + kx^2 - 12x + 28 \) is exactly divisible by \( x^2 + 4 \). What is the value of the constant \( k \)?...

A circle in the \( xy \)-plane passes through the origin \( (0,0) \) and has its center at \( (h, k) \). The circle intersects the positive x-axis at \( (a, 0) ...

The value of a rare antique automobile is projected to increase by \( r\% \) every 5 years. If the value of the automobile increases by exactly \( 72.8\% \) eve...