Digital ACT Practice Questions
Access 553 official-caliber practice questions. Filter by subject or difficulty to pinpoint your cognitive blind spots.
Given the vectors u = and v = , what is the value of their dot product u · v?...
Given the vectors u = and v = , what is the value of their dot product u · v?...
What is the magnitude (length) of the vector v = in the coordinate plane?...
What is the magnitude (length) of the vector v = in the coordinate plane?...
What is the magnitude (length) of the vector v = in the coordinate plane?...
What is the magnitude (length) of the vector v = in the coordinate plane?...
What is the magnitude (length) of the vector v = in the coordinate plane?...
What is the magnitude (length) of the vector v = in the coordinate plane?...
A school club has 7 seniors and 5 juniors. A delegation consisting of 3 seniors and 2 juniors must be selected. How many distinct delegations can be formed?...
How many distinct 6-letter arrangements can be formed using all the letters in the word $RECORD$?...
A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If 3 marbles are drawn at random without replacement, what is the probability that all 3 are ...
A rectangular box has length 4 inches, width 3 inches, and height 12 inches. What is the length, in inches, of the longest interior diagonal that connects two o...
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?...
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?...
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 $k$?...
What is the remainder when $3x^4 - 2x^2 + 5x - 7$ is divided by $(x + 1)$?...
What are all vertical asymptotes of the rational function $f(x) = \frac{x - 3}{x^2 - 9}$?...
For all $x > 2$, which of the following is equivalent to $\frac{1}{x - 2} - \frac{2}{x + 3}$?...
Which of the following rational expressions has an oblique (slant) asymptote?...
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 $\sin \theta$?...
For what values of $x$ in the interval $0 \le x < 2\pi$ does $2\sin^2 x - \sin x - 1 = 0$?...
If $\sec \theta = \frac{5}{4}$ and $\frac{3\pi}{2} < \theta < 2\pi$, what is the value of $\csc \theta$?...
What is the maximum value of the function $f(x) = 4 - 7\cos(3x)$?...
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