Skip to main content
Sign in Create a free account
Varsity Tutors
Sign in Sign up

Practice Test 24 - ACT Math

20 questions. Answer them in any order, then submit to see your score and every explanation.

  1. A chemist has two solutions: Solution A is 2020\\% acid and Solution B is 5050\\% acid. How many milliliters of Solution A must be mixed with 40 milliliters of Solution B to obtain a mixture that is 3030\\% acid?
  2. A gym charges a one-time sign-up fee of $25 plus $15 per month. If xx is the number of months, which equation models the total cost CC (in dollars) after xx months?
  3. A regular polygon has interior angles of 140∘140^\circ each. How many sides does it have?
  4. A graphics routine multiplies matrices A=[[2,1],[3,−2]]A=[[2,1],[3,-2]] and B=[[1,−3],[4,0]]B=[[1,-3],[4,0]]. Which of the following is the product ABAB?
  5. A line has slope −3-3 and passes through the point (2,1)(2,1). Which equation represents the line?
  6. A line graph shows the number of minutes spent practicing piano over four days. What is the change in practice time from Wednesday to Thursday?
  7. In a 45-45-90 triangle, if the hypotenuse measures 10 units, what is the length of one leg?
  8. A fair die is rolled once. What is the probability of rolling a number that is neither 1 nor 6?
  9. A jar contains 12 red marbles, 8 blue marbles, and 5 green marbles. If one marble is drawn at random from the jar, what is the probability that the marble is blue?
  10. What is u⋅v\mathbf{u} \cdot \mathbf{v} if u=⟨3,−2⟩\mathbf{u} = \langle 3, -2 \rangle and v=⟨4,5⟩\mathbf{v} = \langle 4, 5 \rangle?
  11. If the ratio of boys to girls in a club is 3:43:4 and there are 28 girls, how many boys are in the club?
  12. Which inequality is equivalent to 5x−3≤25x - 3 \leq 2?
  13. Which graph represents the solution to −1<x≤3-1<x\le 3?
  14. A cylinder has a height of 14 units and a radius of 3 units. What is the volume of the cylinder?
  15. log⁡2(8)\log_2(8) equals what?
  16. What is u+2v\mathbf{u} + 2\mathbf{v} if u=⟨3,−1⟩\mathbf{u} = \langle 3, -1 \rangle and v=⟨1,4⟩\mathbf{v} = \langle 1, 4 \rangle?
  17. Lines mm and nn are parallel (⇒). A transversal tt intersects them. The angle labeled xx is an exterior angle at line nn on the right side of the transversal. The angle labeled 95∘95^\circ is the corresponding exterior angle at line mm on the right side of the transversal. m ⇒ ─────────────── / 95° / t / / / x n ⇒ ───────────────If lines mm and nn are parallel, what is the measure of angle xx?
  18. Which equation has slope -3 and y-intercept 7?
  19. A bar graph shows the number of bottles collected by four teams. Based on the graph, what is the measurement for Team Yellow?
  20. A polygon has 7 sides. What is the sum of its interior angles?

Practice tests