ACT Math

A company conducted a taste test of its new soft drink. Of the 1,250 participants, 800 liked the soft drink, 150 didn't like it, and the rest were undecided. What percent of the participants were undecided about the new soft drink? A) 24% B) 46% C) 64% D) 76% E) 300%

A

At a university, there are 5 females for every 3 males. If there are 6,000 male students, how many students are female? A) 10,000 B) 12,000 C) 16,000 D) 18,000 E) 30,000

A

Ms. Ruppin is a machinist who works 245 days a year and earns a salary of $51,940. She recently took an unpaid day off from work to attend a bridge tournament. The company pays temporary replacements $140 a day. How much less did the company have to pay in salary by paying the replacement instead of Ms. Ruppin that day? A) $72 B) $113 C) $140 D) $196 E) $212

A

The regular price for a certain bicycle is $125.00. If that price is reduced by 20%, what is the new price? A) $100.00 B) $105.00 C) $112.50 D) $120.00 E) $122.50

A

What is the fifth term of the arithmetic sequence 7, 4, 1, ....? A) -5 B) -2 C) 1 D) 4 E) 14

A

What is the value of -|-6|-(-6)? A) -36 B) -12 C) 0 D) 12 E) 36

A

Which of the following is equivalent to the expression 4 + 8x/ 12x A) 1 + 2x/ 3x B) 1 + 8x/3x C) 1 D) 2 E) 4 & 2/3

A

Fifty high school students were polled to see if they owned a cell phone and/or an MP3 player. A total of 35 of the students own a cell phone, and a total of 18 of the students own an MP3 player. How many students own both a cell phone and an MP3 player, assuming all 50 students own at least one of the two items. A) 0 B) 3 C) 17 D) 32 E) 53

B

Four friends who are about to share an airport shuttle that costs $21.50 per person discover that they can purchase a book of five tickets for $95.00. How much would each of the 4 save if they can get a fifth person to join them and then divide the cost of the book of five tickets equally among all five people? A) $2.25 B) $2.50 C) $3.13 D) $9.00 E) $12.50

B

If -3 is a solution for the equation x^2 + kx - 15 = 0, what is the value of k? A) -5 B) -2 C) 2 D) 5 E) cannot be determined from the given information

B

If t = -3, then 5(t + 1) - 1 = ? A) -15 B) -11 C) -9 D) 9 E) 11

B

There are 10 peanuts, 6 cashews, and 8 almonds in a bag of mixed nuts. if a nut is chosen at random from the bag, what is the probability that the nut is NOT a peanut? A) 5/12 B) 7/12 C) 5/7 D) 10 E) 14

B

What is the positive difference between the mean and the median of the data set ( 12, 21, 29, 34)? A) 0 B) 1 C) 2 D) 5 E) 23

B

What is the slope of the line that passes through the points (-10,0) and (0,-6)? A) -5/3 B) -3/5 C) 3/5 D) 5/3 E) 0

B

What is the solution for x in the following system of equations? 3x + 4y = 31 3x - 4y = -1 A) 4 B) 5 C) 6 D) 9 E) 10

B

What two numbers should be placed in the blanks below so that the difference between successive entries is the same? 26, ____, ____, 53 A) 36, 43 B) 35, 44 C) 34, 45 D) 33, 46 E) 30, 49

B

3^3 / 9 + (6^2 - 12) / 4= A) 3 B) 6.75 C) 9 D) 12 E) 15

C

A carpenter is cutting wood to make a new bookcase with a board that is 12 feet long. If the carpenter cuts off 3 pieces, each of which is 1 foot and 5 inches long, how many inches long is the remaining part of the board? ( A foot is 12 inches.) A) 36 B) 51 C) 93 D) 108 E) 144

C

As a decimal, what is the sum of 2/3 and 1/12? A) 0.2 B) 0.5 C) 0.75 D) 0.833 E) 0.875

C

For all x, the product 3x^2 × 5x^3 =? A) 8x^5 B) 8x^6 C) 15x^5 D) 15x^6 E) 15x^8

C

If 4x + 18 = 38, then x =? A) 3 B) 4.5 C) 5 D) 14 E) 20

C

In order to determine some information about local gas prices, Sally must find the average cost of gasoline per gallon in her neighborhood. She visits 4 gas stations near her house and finds that the price per gallon at each store is $2.15, $2.05, $2.15, $1.97, respectively. Among these 4 stations, what is the average price of gasoline per gallon? A) $2.06 B) $2.07 C) $2.08 D) $2.09 E) $2.10

C

Melba is making a circular spinner for a board game. She divides a circle into 8 congruent sectors. What is the arc measure, in degrees, of each sector? A) 30 B) 40 C) 45 D) 60 E) 75

C

The expression 2y^3*3xy^2*6xy^2 is equivalent to which of the following A) 11x^2y^7 B) 11x^2y^12 C) 36x^2y^7 D) 36xy^12 E) 36x^2y^12

C

The toll for driving a segment of a certain freeway is $1.50 plus 25 cents for each mile traveled. Joy paid a $25 toll for driving a segment of the freeway. How many miles did she travel? A) 10 B) 75 C) 94 D) 96 E) 100

C

What is the sum of 3/16 and 0.175 A) 0.3165 B) 0.3500 C) 0.3625 D) 0.3750 E) 0.3875

C

A fence completely surrounds a pool that is 30 ft by 10 ft. What is the approximate length, in feet, of the fence? A) 20 feet B) 40 feet C) 60 feet D) 80 feet E) 160 feet

D

A homeowner wants to put a wallpaper border around the top edge of all the walls of his kitchen. The ceiling is rectangular and measures 6.5 meters by 4 meters. What is the required length, in meters, of the border? A) 8 B) 10.5 C) 13 D) 21 E) 26

D

A rod is a unit of length equivalent to 5.5 yards. If a field is 127 yards long, then how many rods long is the field, to the nearest tenth. A) 231.9 B) 69.9 C) 43.3 D) 23.1 E) 4.3

D

A school is selling T-shirts as a fund-raiser. For the first 100 T-shirts that are sold, the school will earn $7 per shirt. For each additional shirt that is sold, the school will earn $10. How much will the school earn if 350 T-shirts are sold? A) $245 B) $250 C) $2,450 D) $3,200 E) $4,200

D

A shirt that normally sells for $24.60 is on sale for 15% off. How much does it cost during the sale, to the nearest dollar? A) $4 B) $10 C) $20 D) $21 E) $29

D

A train traveled at a rate of 90 miles per hour for x hours, and then at a rate of 60 miles per hour for y hours. Which expression represents the train's average rate, in miles per hour, for the entire distance traveled? A) 540/xy B) 90/x × 60/y C) 90/x + 60/y D) 90x + 60y/ x + y E) 150/ x + y

D

Because of increased rents in the area, a pizzeria needs to raise the cost of its $20.00 extra-large pizza by 22%. What will the new cost be? A) $20.22 B) $22.20 C) $24.00 D) $24.40 E) $42.00

D

Given that f(x) = (8-3x)(x^2 - 2x - 15), what is the value of f(3)? A) -30 B) -18 C) 6 D) 12 E) 24

D

If x = -5, then 2x^2- 6x + 5 =? A) -15 B) 15 C) 25 D) 85 E) 135

D

In a certain string ensemble, the ratio of men to women is 5:3. If there are a total of 24 people in the ensemble, how many women are there? A) 8 B) 9 C) 10 D) 11 E) 12

D

In a group of 25 students, 16 are female. What percentage of the group is female? A) 16% B) 40% C) 60% D) 64% E)75%

D

In a recent survey, 14 people found their mayor to be "very competent". This number is exactly 20% of the people surveyed. How many people were surveyed? A) 28 B) 35 C) 56 D) 70 E) 84

D

Which of the following is a simplified form of 5a-5b+3a A) 5(a-b+3) B) (a-b)(5+3a) C) a(8-5b) D) 8a-5b E) 2a-5b

D

A car travels 288 miles in 6 hours. At that rate, how many miles will it travel in 8 hours? A) 216 B) 360 C) 368 D) 376 E) 384

E

An Ice cream parlor offers 5 flavors of ice cream and four different toppings (sprinkles, hot fudge, whipped cream, and butterscotch). There is a special offer that includes one flavor of ice cream and one topping, served in a cup, sugar cone, or waffle cone. How many ways are there to order ice cream with the special offer? A) 4 B) 5 C) 12 D) 23 E) 60

E

At a recent audition for a school play, 1 out of 3 students who auditioned were asked to come to a second audition. After the second audition, 75% of those asked to the second audition were offered parts. If 18 students were offered parts, how many students went to the first audition? A) 18 B) 24 C) 48 D) 56 E) 72

E

If 40% of X is 70, then what is 180% of X? A) 50.4 B) 126 C) 154 D) 175 E) 315

E

If a ball is randomly chosen from a bag with exactly 10 purple balls, 10 yellow balls, and 8 green balls, what is the probability that the ball chosen will NOT be green A) 2/7 B) 2/5 C) 1/2 D)9/14 E) 5/7

E

If x-15 = 7-5(x-4), then x = ? A) 0 B) 2 C) 4 D) 5 E) 7

E

In a class, 10 students are receiving honors credit. This number is exactly 20% of the total number of students in this class. How many students are in the class? A) 12 B) 15 C) 18 D) 20 E) 50

E

In a group of 50 students, 28 speak English and 37 speak Spanish. If everyone in the group speaks at least one of the two languages, how many speak both English and Spanish? A) 11 B) 12 C) 13 D) 14 E)15

E

Julie can type 3 pages in x minutes. How many minutes will it take her to type 11 pages? A) 33x B) 3/11x C) 11/3x D) 3x/11 E) 11x/3

E

Khristina walked 1 and 2/3 miles on Sunday and 2 and 3/4 on Monday. What was the total distance, in miles, that she walked over those two days? A) 3 and 1/2 B) 3 and 5/7 C) 3 and 11/12 D) 4 and 1/4 E) 4 and 5/12

E

Martin's average score after four tests is 89. What score on the fifth test would bring Martin's average up to exactly 90. A) 90 B) 91 C) 92 D) 93 E) 94

E

Tanya used 3 & 3/8 yards of fabric to make her dress, and she used 1 & 1/3 yards of fabric to make her jacket. what was the total amount, in yards, that Tanya used for the complete outfit of dress and jacket A) 4 & 1/8 B) 4 & 1/6 C) 4 & 4/11 D) 4 & 1/2 E) 4 & 17/24

E

The product 5x^3y^5 × 6y^2 × 2xy is equivalent to which of the following? A) 13x^3y^7 B) 13x^4y^8 C) 60x^3y^7 D)60x^3y^10 E) 60x^4y^8

E

Which of the following is less than 3/5? A) 4/6 B) 8/13 C) 6/10 D) 7/11 E) 4/7

E