ACT Prep Test 1

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?

• A. 1/9

• B. 1/15

• C. 6/15

• D. 7/15

• E. 8/15

Tags

CCSS.7.SP.C.7B

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?

• A.

• B.

• C.

• D.

• E.

Tags

CCSS.HSG.CO.C.10

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?

• A. 11

• B. 16

• C. 20

• D. 24

• E. 32

On a particular road map, 1/2 inch represents 18 miles. About how many miles apart are 2 towns that are

2 1/2 inches apart on the map?

• a. 18

• b. 22 1/2

• c. 36

• d. 45

• e. 90

Tags

CCSS.6.RP.A.3B

Only tenth, eleventh, and twelfth grade students attend Washington High School. The ratio of tenth graders to the school's total population is 86 : 255, and the ratio of eleventh graders to the school's total student population is 18 : 51. If 1 student is chosen at random from the entire school, which grade is that student most likely to be in?

• a. Tenth

• b. Eleventh

• c. Twelfth

• d. All grades are equally likely

• e. Cannot be determined from the given information

Tags

CCSS.8.SP.A.4

The 35-member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club. What is the probability that Hiroko, who is a member of the club but NOT an officer will be chosen?

• a. 0

• b. 4/35

• c. 1/35

• d. 1/3

• e. 1/32

Tags

CCSS.7.SP.C.7B

Marcus's favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingredients in the recipe proportionally. What is the total number of servings the modified recipe will make?

• a. 6

• b. 8

• c. 10

• d. 12

• e. 15

A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet's owner will reward the finder with 1 bill drawn randomly from the wallet. What is the probability that the bill drawn will be a twenty-dollar bill?

• a. 1/20

• b. 4/51

• c. 1/8

• d. 2/5

• e. 2/3

Tags

CCSS.7.SP.C.7B

About 1.48 x 10^8 square kilometers of the Earth's surface is land; the rest, about 3.63 x 10^8 square kilometers, is water. If a returning space capsule lands at a random point of Earth's surface, which of the following is the best estimate of the probability that the space capsule will land in water?

• a. 80%

• b. 71%

• c. 65%

• d. 41%

• e. 29%

Tags

CCSS.7.SP.C.7B

The length of a rectangle with area 54 square centimeters is 9 centimeters. What is the perimeter of the rectangle, in centimeters?

• a. 6

• b. 12

• c. 15

• d. 24

• e. 30

Tags

CCSS.4.MD.A.3