ACT 2024-25 Mathematics Practice Test

The numbers 1 through 15 were each written on individual pieces of paper, 1 number per piece. Then the 15 pieces of paper were put in a jar. One piece of paper will be drawn from the jar at random. What is the probability of drawing a piece of paper with a number less than 9 written on it?

• 1/9

• 1/15

• 8/15

• 7/15

• 8/15

Which of the following expressions is equivalent to -4x² - 12x² + 9x²?

• x²

• -7x²

• -8x² + 9x²

• -16x² + 9x²

• -16x² + 9x²

When x = 2, 10 + 3(12 + (3x)) = ?

• 12

• 16

• 26

• 34

• 104

|6 - 4| - |13 - 8| = ?

• -7

• -3

• 3

• 7

• 21

The expression (4c - 3d)(3c + d) is equivalent to:

• 12c² - 13cd - 3d²

• 12c² - 13cd + 3d²

• 12c² - 5cd - 3d²

• 12c² - 5cd + 3d²

• 12c² - 3d²

Of the 180 students in a college course, 1/4 of the students earned an A for the course, 1/3 of the students earned a B for the course, and the rest of the students earned a C for the course. How many of the students earned a C for the course?

• 75

• 90

• 105

• 120

• 135

• 96

• 192

• 384

• 1,458

• 46,656

Manish drove from Chicago to Baton Rouge. At 8:00 a.m., he was 510 km from Baton Rouge. At 1:00 p.m., he was 105 km from Baton Rouge. Which of the following values is closest to Manish's average speed, in kilometers per hour, from 8:00 a.m. to 1:00 p.m.?

• 58

• 68

• 81

• 94

• 102

In the figure shown below, E and G lie on AC, D and F lie on AB, DE and FG are parallel to BC, and the given lengths are in feet. What is the length of AC, in feet?

• 13

• 26

• 29

• 42

• 48

Katerina runs 15 miles in 2 1/2 hours. What is the average number of minutes it takes her to run 1 mile?

• 6

• 10

• 12 1/2

• 16 2/3

• 17 1/2