Digital ACT Practice Questions

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 committee of 4 students is to be chosen from a group of 9 eligible candidates. How many different 4-student committees are possible?...

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?...

In how many distinct orders can 6 distinct books be arranged side by side on a display shelf?...

How many distinct 6-letter arrangements can be formed using all the letters in the word $RECORD$?...

A password must consist of 3 digits followed by 2 letters. If repetition of digits and letters is permitted, how many distinct passwords can be formed?...

A pizza parlor offers 8 different vegetable toppings and 4 different meat toppings. If a customer orders a pizza with exactly 2 different vegetables and 1 meat ...

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 ...

In a game, a player rolls a fair six-sided die numbered 1 to 6. If the player rolls a 6, they win $18. If they roll any other number, they lose $3. What is the ...

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 cylinder has a radius of 5 cm and a height of 10 cm. What is the total surface area of the cylinder, in square centimeters?...

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 $f(x) = \frac{x - 3}{x^2 - 9}$?...