ACT Math Prep Day 3

A circle with center O has a radius r. What is the area of a circle with a radius three times larger?

• 3πr

• 9πr

• 3πr²

• 6πr²

• 9πr²

At a restaurant, diners enjoy an “early bird” discount of 10% off their bills. If a diner orders a meal regularly priced at $18 and leaves a tip of 15% of the discounted meal (no tax), how much does he pay in total?

• $13.50

• $16.20

• $18.63

• $18.90

• $20.70

When 15% of 40 is added to 5% of 260, the resulting number is:

• 19

• 40

• 95

• 180

• 260

Herbie's practice bag contains 4 blue racquetballs, one red racquetball, and 6 green racquetballs. If he chooses a ball at random, which of the following is closest to the probability that the ball will NOT be green?

• 0.09

• 0.27

• 0.36

• 0.45

• 0.54

If 3.7 inches of rain fell on Vancouver during the first 4 days of December, and the rain continues to fall at this pace for the rest of the month, approximately how many feet of rain will fall during December? (Note: The month of December has 31 days.)

• 2.4

• 3.7

• 9.5

• 28.7

• 114.7

Over 9 games, a baseball team had an average of 8 runs per game. If the average number of runs for the first 7 games was 6 runs per game and the same number of runs was scored in each of the last 2 games, how many runs did the team score during the last game?

• 5

• 15

• 26

• 30

• 46

The starting team of a baseball club has 9 members who have an average of 12 home runs apiece for the season. The second-string team for the baseball club has 7 members who have an average of 8 home runs apiece for the season. What is the average number of home runs for the starting team and the second-string team combined?

• 7.5

• 8

• 10

• 10.25

• 14.2

At the school cafeteria, 2 boys and 4 girls are forming a lunch line. If the boys must stand in the first and last places in line, how many different lines can be formed?

• 2

• 6

• 48

• 360

• 720

Elias has to select one shirt, one pair of pants, and one pair of shoes. If he selects at random from his 8 shirts, 4 pairs of pants, and 3 pairs of shoes, and all his shirts, pants, and shoes are different colors, what is the likelihood that he will select his red shirt, black pants, and brown shoes?

• 1/3

• 1/4

• 1/15

• 1/32

• 1/96