ACT Math Prep

Multiple Choice

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

Multiple Choice

(27∕64) ^(-2/3) = ?

• -9⁄16

• -9⁄32

• 9⁄32

• 16⁄9

• 32⁄9

Multiple Choice

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

• 12c² - 13cd - 3d²

• 12c² - 13cd + 3d²

• 12c² - 5cd - 3d²

• 12c² - 5cd + 3d²

• 12c² - 3d²

Multiple Choice

What is 3% of 4.14 x 10⁴

• 1,242

• 1,380

• 12,420

• 13,800

• 124,200

Multiple Choice

What is the value of x that satisfies the equation -3(4x - 5) = 2(1 - 5x)?

• -17/2

• -17/22

• -1

• 3/17

• 13/2

Multiple Choice

The number of fish, f, in Skipper's Pond at the beginning of each year can be modeled by the equation f(x)=3(2^x), where x represents the number of years after the beginning of the year 2000. For example, x=0 represents the beginning of the year 2000, x=1 represents the beginning of the year 2001, and so forth.

According to the model, how many fish were in Skipper's Pond at the beginning of the year 2006?

• 96

• 192

• 384

• 1,458

• 46,656

Multiple Choice

Manish drove from Chicago to Baton Rouge. At 8:00 AM, he was 510 km from Baton Rouge. At 1:00 PM, he was 105 km from Baton Rouge. Which os the following values is closest to Manish's average speed, in km/hr, from 8:00AM to 1:00PM?

• 58

• 68

• 81

• 94

• 102

Multiple Choice

In the figure shown, E and G lies 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

Multiple Choice

In the standard (x, y) coordinate plane, the point (2, 1) is the midpoint of CD. Point C has coordinate (6,8). What are the coordinates of point D?

• (-2, -7⁄2)

• (-2, -6)

• (4, 9⁄2)

• (10, 10)

• (10, 15)

Multiple Choice

Loto begins at his back door and walks 8 yards east, 6 yards north, 12 yards east, and 5 yards north to the barn door. About how many yards less would he walk if he could walk directly from the back door to the barn door?

• 8

• 19

• 23

• 26

• 31

Multiple Choice

A bag contains 8 red marbles, 9 yellow marbles, and 7 green marbles. How many additional red marbles must be added to the 24 marbles already in the bag so that the probability of randomly drawing a red marble is 3/5 ?

• 11

• 16

• 20

• 24

• 32

Multiple Choice

The average of a list of 4 numbers is 92.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 40, and the fourth number in the new list 48. What is the average of the new list of numbers?

• 81.0

• 92.0

• 94.0

• 94.4

• 96.6

Multiple Choice

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?

• 1/9

• 1/15

• 6/15

• 7/15

• 8/15

Multiple Choice

When x=2, 10 + 3 (12 ÷ (3x)) = ?

• 12

• 16

• 26

• 34

• 104

Multiple Choice

Ι6 - 4Ι - Ι3-8Ι = ?

• -7

• -3

• 3

• 7

• 21