Digital ACT Practice Questions

If the radius of a sphere is doubled, by what factor is its volume multiplied?...

A right circular cone has a base diameter of 12 cm and a slant height of 10 cm. What is the volume of the cone, in cubic centimeters?...

In the 3-dimensional Cartesian coordinate system, what is the distance between the points $(2, -1, 4)$ and $(5, 3, -8)$?...

A cube has a total surface area of 150 square units. What is the length of an interior diagonal connecting two opposite vertices of the cube?...

A solid metal cylinder with radius 2 inches and height 6 inches is melted down and recast into a sphere. Assuming no metal is lost in the process, what is the r...

What is the volume, in cubic centimeters, of a rectangular prism with length 8 cm, width 5 cm, and height 7 cm?...

When the polynomial $P(x) = 2x^3 - 5x^2 + kx - 8$ is divided by $(x - 3)$, the remainder is 19. What is the value of the constant $k$?...

Which of the following polynomials has $(x + 2)$ as a factor?...

What is the remainder when $3x^4 - 2x^2 + 5x - 7$ is divided by $(x + 1)$?...

Which of the following is equivalent to the expression $\frac{2x^2 + 7x - 15}{x + 5}$ for all $x \ne -5$?...

What are all vertical asymptotes of the rational function $f(x) = \frac{x - 3}{x^2 - 9}$?...

What is the horizontal asymptote of the rational function $g(x) = \frac{4x^2 - 3x + 1}{2x^2 + 5x - 7}$?...

For all $x > 2$, which of the following is equivalent to $\frac{1}{x - 2} - \frac{2}{x + 3}$?...

If $\frac{2}{x} + \frac{3}{2x} = 7$, what is the value of $x$?...

Which of the following rational expressions has an oblique (slant) asymptote?...

What is the domain of the function $h(x) = \frac{\sqrt{x - 3}}{x - 5}$?...

If $\sin \theta = \frac{5}{13}$ and $\frac{\pi}{2} < \theta < \pi$, what is the value of $\cos \theta$?...

What is the period of the trigonometric function $f(x) = 3\sin(4x - \pi) + 2$?...

Which of the following is equivalent to the expression $\frac{\sin^2 \theta}{1 - \cos \theta}$ for all $\theta$ where the denominator is defined?...

If $\tan \theta = -\frac{4}{3}$ and $\cos \theta > 0$, what is the value of $\sin \theta$?...

What is the amplitude of the function $y = -5\cos(2x + \pi) - 3$?...

For what values of $x$ in the interval $0 \le x < 2\pi$ does $2\sin^2 x - \sin x - 1 = 0$?...

Which of the following is equivalent to $(\sin x + \cos x)^2$?...

If $\sec \theta = \frac{5}{4}$ and $\frac{3\pi}{2} < \theta < 2\pi$, what is the value of $\csc \theta$?...