Digital ACT Practice Questions

If $x$ and $y$ are positive integers such that $x^2 - y^2 = 31$, what is the value of $x$?...

What is the matrix product $\begin{bmatrix} 2 & -1 \\ 3 & 4 \end{bmatrix} \begin{bmatrix} 5 \\ -2 \end{bmatrix}$?...

The city council's decision to preserve the nineteenth-century viaduct was praised by urban planners, who argued that historical infrastructure enhances communi...

The conservators discovered that the mural's pigments had deteriorated because of exposure to sulfur dioxide, moisture, and ultraviolet radiation. Which choice ...

An experimental assay measured the rate of DNA polymerase elongation at four different temperatures in the presence of $1.5\text{ mM }\text{Mg}^{2+}$: • $25^\ci...

Two astronomers debate the origin of Fast Radio Bursts (FRBs): • Astronomer 1 hypothesizes that FRBs originate exclusively from magnetars (highly magnetized neu...

In the urban infrastructure passage, the author uses the phrase 'erroneous miasmatic premise' to emphasize that:...

The tone of the passage toward Bazalgette's engineering achievement can best be described as:...

In a geometric sequence of positive real numbers, the third term is $18$ and the sixth term is $486$. What is the first term of this sequence?...

If $\tan(\alpha) = \frac{4}{3}$ and $\pi < \alpha < \frac{3\pi}{2}$, what is the value of $\sin(2\alpha)$?...

How many integers between $100$ and $999$, inclusive, are divisible by both $6$ and $9$?...

What is the area, in square units, of the triangle in the standard $(x,y)$-coordinate plane with vertices at $(0, 0)$, $(6, 2)$, and $(4, 8)$?...

If the polynomial $f(x) = x^3 - 3x^2 + 4x - 12$ has a real root at $x = 3$, what are the other two roots of $f(x)$?...

To [____] should the laboratory courier deliver the hazardous cryogenic chemical canisters?...

The observatory staff maintained the optical telescope meticulously [____] wiping the primary mirror with non-abrasive lens cloth....

A physical chemistry student investigated the vapor pressure of four organic liquids at $20^\circ\text{C}$: • Acetone: $24.6\text{ kPa}$, $\Delta H_{\text{vap}}...

An evolutionary biology experiment tracked allele frequencies in a population of fruit flies (*Drosophila melanogaster*) over 20 generations: • Generation 0: Al...

In the context of the Renaissance polyphony passage, the author uses the phrase 'epistemological transformation' to suggest that the shift to counterpoint:...

Choose the best option for the underlined portion: The investigative journalist interviewed several city planners, whom she believed were responsible for the co...

Choose the best option for the underlined portion: The acoustic insulation in modern recording studios is significantly more dense than historic concert halls....

[1] In 1911, physicist Ernest Rutherford conducted his famous gold foil experiment. [2] He fired alpha particles at an extremely thin sheet of gold foil. [3] Mo...

Choose the best option for the underlined portion: The ornithologist noted three distinct plumage variations among the island finches, olive green on the dorsal...

Choose the best option for the underlined portion: If the paleoclimatologist was able to extract uncompressed ice from the deepest core layer, she could reconst...

Choose the best option for the underlined portion: The forensic accountant discovered that the chief financial officer had been intentionally obfuscating the co...