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

Practice Test 42 - ACT Math

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

  1. The equation of a circle is (x+1)2+(y−4)2=64(x+1)^2+(y-4)^2=64. What is the circumference of the circle?
  2. A function is defined by f(x)=4x2−xf(x)=4x^2-x. What is f(2)f(2)?
  3. What is the measure of each interior angle in a regular 9-gon?​
  4. A drone's horizontal displacement is represented by the vector ⟨6,8⟩\langle 6, 8\rangle. What is the magnitude of the vector ⟨6,8⟩\langle 6, 8\rangle? Give your answer in simplest form.
  5. How many integers nn satisfy the inequality 92<n<253\frac{9}{2} < n < \frac{25}{3}?
  6. Which graph represents the solution to 2x−1<32x - 1 < 3?
  7. Which of the following matches the expansion of (x−3)(x+2)(x - 3)(x + 2)?
  8. A student evaluates a distance formula and gets x=−49x=-\sqrt{49}. What is the absolute value of xx?
  9. A train travels 210 miles in 3.5 hours at a constant speed. What is the train's speed in miles per hour?
  10. In how many ways can you choose 3 fruits from a basket of 6 different fruits?
  11. Which graph represents the solution to −x+5>3-x + 5 > 3?
  12. Right triangle RSTRST has a right angle at SS. If RS=12RS=12 and the hypotenuse RT=20RT=20, what is the length of STST? Give your answer in simplest form.
  13. The daily high temperatures (in ∘^\circF) over 6 days are 68, 72, 71, 70, 74, 69. What is the range of the data?
  14. On a map, 12\frac{1}{2} inch represents 15 miles. If two cities are 3.5 inches apart on the map, what is the actual distance, in miles, between them?
  15. A set of 6 test scores is {50,60,70,80,90,100}\{50, 60, 70, 80, 90, 100\}. What is the mean of the data set?
  16. A right triangle has legs of lengths 99 and 1212. What is the hypotenuse of the triangle? Give your answer in simplest form.
  17. A delivery truck's distance from a warehouse changes at a constant rate. The line on the coordinate plane passes through the points (−4,1)(-4,1) and (2,5)(2,5). What is the slope of the line through points (−4,1)(-4,1) and (2,5)(2,5)?
  18. For real numbers xx and yy, what is the real part of (x+yi)(2−3i)(x+yi)(2-3i)? (Expand using FOIL and apply i2=−1i^2=-1.)
  19. For the function f(x)={4x−3if x<0x2+2if x≥0f(x) = \begin{cases} 4x - 3 & \text{if } x < 0 \\ x^2 + 2 & \text{if } x \geq 0 \end{cases}, what is f(−1)f(-1)?
  20. A quantity decreases by a factor of (12)\left(\dfrac{1}{2}\right) each hour. Which expression gives the quantity after tt hours if it starts at 6464?

Practice tests