Free Printable ACT WORD PROBLEM

1.

If watermelons sell at $4.29 each or 4 for $14.80, how much is saved, to the nearest cent, on each watermelon y buying them 4 at a time?

a)

36 cents

b)

43 cents

c)

48 cents

d)

59 cents

e)

68 cents

2.

Joey made two trips to the all on the same day. On the first trip, he gave the cashier $50 and got back $12 in change. On the second trip, he gave the cashier $30 and got back $8 in change. After these trips, he had $45 left. How many dollars did he have before his trips to the mall?

a)

55

b)

67

c)

86

d)

105

e)

117

3.

Professor Jones gives his students a 2 minute break between each section of a final exam. If the final exam has 7 sections, how many minutes do the students spend on break during the exam?

a)

6

b)

7

c)

9

d)

12

e)

14

4.

Mark is deciding between two contracting jobs. Job A pays $45 per hour for the first 10 hours worked, and $60 per hour worked thereafter. job B pays a flat $50 per hour. Mark's goal is to earn $1,350 from his next contracting job. Which job, if either, allows him to work fewer hours to meet his goal, and how many hours fewer?

a)

Job A, 2

b)

Job A, 12

c)

Job B, 2

d)

Job B, 12

e)

Mark would work the same number of hours at either job.

5.

A number z is produced by multiplying x, which is divisible by 10, and y, which is divisible by 15. All of the following whole numbers must be factors of z EXCEPT:

a)

2

b)

3

c)

6

d)

20

e)

30

6.

There are three alarm bells. The first alarm bell rings every 6 minutes, the second rings every 8 minutes, and the third rings every 10 minutes. At a certain instant, the 3 alarm bells ring at the same time. How many minutes elapse until the 3 alarm bells next ring at the same time?

a)

60

b)

90

c)

120

d)

160

e)

480

7.

Consider the set of numbers {2, 3, 4, 5}. How many positive integers less than 600 are divisible by every number in the set?

a)

9

b)

10

c)

11

d)

12

e)

13

8.

A recipe recommends fermenting a certain type of vegetable for 5 hours per ounce of the vegetable's weight. Based on this recipe, how long should an 18-ounce vegetable of this type be fermented?

a)

2 days 12 hours

b)

2 days 18 hours

c)

3 days 6 hours

d)

3 days 12 hours

e)

3 days 18 hours

9.

In a cycling race, Hugo finished a course 2.4 miles long in 7 minutes and 12 seconds. About how many miles per hour did he average for the race?

a)

60

b)

36

c)

30

d)

20

e)

15

10.

A recycling machine processes 10 plastic bottles in 3 minutes. At this rate, how many plastic bottles does the recycling machine process in 3 + m minutes?

a)

$\frac{10}{3}+m$

b)

$\frac{10}{3}+\frac{m}{3}$

c)

$\frac{10}{3}+\frac{10}{3m}$

d)

$10+\frac{m}{3}$

e)

$10+\frac{10m}{3}$

11.

Mrs. Mazur and Mrs. Arthur are working together to grade 65 essays. Mrs. Mazur can grade 5 essays per hour and Mrs. Arthur can grade 6 essays per hour. If Mrs. Mazur starts grading first and Mrs. Arthur joins her two hours later, how many essays will Mrs. Arthur have graded by the time they finish?

a)

25

b)

28

c)

30

d)

35

e)

36

12.

At a certain school, 3/7 of the boys and 6/7 of the girls play tennis. If the number of male and female tennis players is the same, which of the following must be true?

a)

There are seven times as many girls as boys.

b)

There are twice as many girls as boys.

c)

There are as many girls as boys.

d)

There are twice as many boys as girls.

e)

There are seven times as many boys as girls.

13.

A blueprint drawing of a rectangular room is 10 inches wide and 8 inches long. The actual room is 25 feet wide. If the blueprint drawing is proportional to the actual room, what is the perimeter of the room, in feet?

a)

40

b)

50

c)

70

d)

80

e)

90

14.

There are 210 students at Salem High School, where the ratio of juniors to seniors is 3:4. There are 140 students at Swampscott High School, where the ratio of juniors to seniors is 4:3. The two schools hold a sports competition and all the juniors and seniors from both schools attend. What fraction of the students at the competition are seniors?

a)

2/5

b)

3/7

c)

4/7

d)

17/35

e)

18/35

15.

Amy's Appliance Store is offering a special deal on a toaster. A customer who buys the toaster at the regular price of p dollars can get an additional one at a 20% discount. Which of the following gives the total cost, in collars, a customer will pay for two toasters?

a)

0.8p

b)

1.2p

c)

1.6p

d)

1.8p

e)

2.2p

16.

A jar contains three different colors of gumballs: 30% are blue, 25% are red, and the rest are green. If there are 36 green gumballs in the jar, how many red gumballs are in the jar?

a)

20

b)

24

c)

28

d)

32

e)

80

17.

Two puppies, Max and Boxer, once weighted the same number of pounds. Since then Max's weight has increased by 15% while Boxer has gained half as many pounds as Max. Max now weighs 46 pounds. What is Boxer's current weight, in pounds?

a)

38

b)

40

c)

41

d)

43

e)

46

18.

During a sale, Eli's Electronics offered a 40% discount on the original price of a computer. Walter bought the computer during the sale, but the cashier made a mistake. After applying the discount, the cashier calculated the 5% sales tax using the original price of the computer instead of the discounted price. The amount by which Walter overpaid represents what percent of the original price of the computer?

a)

1%

b)

1.5%

c)

2%

d)

2.5%

e)

3%

19.

One number is 8 more than another. When the 2 numbers are added, their sum is 30. What is the larger number?

a)

8

b)

11

c)

16

d)

19

e)

22

20.

Jason has $546 in his bank account. Each day after the first day, he will withdraw $20 more than what he withdrew the previous day. How many dollars must Jason withdraw on the first day so that his bank account is empty by the end of the 7th day?

a)

$18

b)

$21

c)

$24

d)

$38

e)

$41

21.

Ms. Gentry spent $35 for shoes (Thanks DSW). This was $5 more than twice what she spent for dog treats. How much were the dog treats?

a)

$15

b)

$20

c)

$30

d)

$40

22.

Ms. Gentry spent $30 on a new coffee pot. This was k dollars less than twice what she spent on lunch. How much did she spend on lunch?

a)

$l=\frac{\left(30+k\right)}{2}$

b)

$l=2\left(30-k\right)$

c)

$l=\frac{\left(30-k\right)}{2}$

d)

$l=\left(30-k\right)\ +2$

23.

The sum of two numbers is 165, and one of them is 19 more than the other. What are the two numbers?

a)

130, 35

b)

73, 92

c)

146, 19

d)

76, 95

24.

The sum of three consecutive numbers is 96. What are they?

a)

25, 26, 27

b)

30, 32, 34

c)

30, 31, 32

d)

31, 32, 33

25.

One number is 25 more than another. The sum of the two numbers is 85. What is the smaller number?

a)

15

b)

25

c)

30

d)

60

26.

Divide $153 among three people so that the second will have three times as much as the first, and the third will have $15 less than the second. How much does the second person get?

a)

20

b)

24

c)

35

d)

72

27.

The sum of two consecutive odd numbers is 200. What is the smaller number?

a)

75

b)

95

c)

99

d)

100

28.

The sum of two consecutive even numbers is 86. What is the larger number?

a)

40

b)

42

c)

43

d)

44

29.

A group of 100 persons consists of men, women, and children. There are three times as many men as women, and twice as many children as men. How many children are there?

a)

50

b)

60

c)

30

d)

80

30.

The sum of the real numbers x and y is 15. Their difference is 3. What is the value of xy?

a)

3

b)

6

c)

9

d)

15

e)

54

31.

A school held a kiddie carnival to raise money for the PTA . Admission for adults was $8, and admission for children was $5. In the end, 87 people attended the carnival, and they raised $468. How many adults attended the carnival?

a)

6

b)

11

c)

23

d)

64

e)

76

32.

A rectangular field is 3 times as long as it is wide and it has an area of 192 square yards. How many yards long is it?

a)

8

b)

24

c)

48

d)

72

e)

96

33.

The sum of the real numbers x and y is 25. Their difference is 13. What is the value of xy?

a)

9

b)

100

c)

104

d)

114

e)

124

34.

Mrs. Jones is handing out candy to trick-or-treaters. She gives out candy bars to kids in costume and small packages of gummies to kids without a costume. The candy bars cost $0.80, and the gummies cost $0.25. At the end of the night, 100 children visited Mrs. Jones's home, and she gave out $69.00 in candy. How many children who visited Mrs. Jones's home were wearing costume?

a)

20

b)

50

c)

69

d)

80

e)

92

35.

Stebbins High School won a basketball game against Blaine High School by 20 points. The next week, they played a game against Spring Hills High School and won by only 10 points, even though they scored 10 more points than the week before. The sum of the points scored by Blaine and Springs Hills against Stebbins in those two weeks was 154. How many points did Stebbins score in the game against Blaine?

a)

67

b)

72

c)

87

d)

92

e)

97

36.

The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy?

a)

108

b)

90

c)

58

d)

18

e)

6

37.

A vending machine sells chips for $0.50 and candy bars for $1.00. If Jim spent $5.50 on snacks in the machine over the course of a week, how many candy bars did he buy?

a)

1

b)

2

c)

3

d)

4

e)

Cannot be determined from the given information

38.

Lilly and Laura pooled their money to purchase their brother, Liam, a video game for his birthday. The video game cost a total of $45. If Laura was only able to contribute 2/3 of what Lilly did, how much did Laura put toward the present?

a)

$18

b)

$21

c)

$24

d)

$27

e)

$30

39.

A group of 10 people go to see a movie. The tickets cost $11.25 for adults and $7.50 for children. If the total cost for tickets was $101.70 for the group, how many adults were in the group?

a)

4

b)

5

c)

6

d)

7

e)

8

40.

A restaurant sells burgers and fries. If two burgers and one order of fries cost $5.10, and one burger and two orders of fries cost $4.80, how much is one burger and one order of fires?

a)

$3.00

b)

$3.30

c)

$3.60

d)

$4.00

e)

$4.95

41.

Theresa decides to donate money to cancer research each year. Her brother, Tony, also decides to contribute. Together, they donate $1000 per year to cancer research. If Tony is bale to donate 1.5 times the amount that Theresa is able to donate, what is the amount in dollars that Tony will donate after 5 years, assuming the amount and proportions remain the same each year?

a)

$2000

b)

$2100

c)

$2450

d)

$3000

e)

$3600

42.

Marco bought pens and pencils with his company's name and website address to give away to people at a festival. He bought a total of 300 pens and pencils together and spent $62.50. If pencils cost$0.15 each and pens cost $0.25 each, how many pens did Marco buy?

a)

175

b)

165

c)

140

d)

130

e)

125

43.

In a game, Theodore received a handful of coins (pennies, nickels, dimes, and quarters) as a prize. When he got home, he found that he had managed to get $2.09 in change. He noticed that he had three times as many quarters as dimes. How many quarters did Theodore get in his prize?

a)

4

b)

5

c)

6

d)

7

e)

8

44.

Nathan has 102 solid-colored disks that are red, blue, and green. He lines them up on the floor and finds that there are 3 more red disks than blue and 6 more blue disks than green. How many red disks are there?

a)

26

b)

29

c)

31

d)

35

e)

38

45.

A recipe calls for a certain ratio of flour to sugar. If the amount of flour needed is directly proportional to the amount of sugar used, and flour:sugar=2:1, how many cups of flour are needed for 5 cups of sugar?

a)

5 cups of flour

b)

10 cups of flour

c)

15 cups of flour

d)

2 cups of flour

46.

A movie theater sells adult tickets for $10 and child tickets for $6. On a particular day, the theater sold a total of 200 tickets and earned $1,600. How many adult tickets were sold?

a)

80 adult tickets

b)

90 adult tickets

c)

100 adult tickets

d)

110 adult tickets

47.

Sarah is 7 years older than twice the age of her little brother. If Sarah is 21 years old, how old is her brother?

a)

5 years old

b)

6 years old

c)

7 years old

d)

8 years old

48.

The area of a rectangular garden is 6 square meters. The length of the garden is 5 meters longer than the width. What are the dimensions of the garden?

a)

Width: 1 meter, Length: 6 meters

b)

Width: 2 meters, Length: 4 meters

c)

Width: 3 meters, Length: 8 meters

d)

Width: 1.5 meters, Length: 5.5 meters

49.

Maria and John both have collections of marbles. Maria has 36 marbles and John has 60 marbles. They want to divide their marbles into groups with the same number of marbles in each group, without any marbles left over. What is the greatest number of marbles that can be in each group?

a)

6 marbles

b)

8 marbles

c)

12 marbles

d)

15 marbles

50.

At a school dance, tickets are sold at two prices: $3 for students and $5 for adults. One night, a total of 200 tickets were sold, and $800 was raised. How many student tickets and how many adult tickets were sold?

a)

80 student tickets, 120 adult tickets

b)

100 student tickets, 100 adult tickets

c)

60 student tickets, 140 adult tickets

d)

50 student tickets, 150 adult tickets

51.

Anna is making a batch of cookies. She needs 5 times as much sugar as flour, but she also needs to subtract 3 tablespoons of sugar. If she starts with 4 cups of flour, how much sugar does she need for the recipe?

a)

15 cups of sugar

b)

17 cups of sugar

c)

20 cups of sugar

d)

12 cups of sugar

52.

A restaurant charges $2.50 per burger and $1.25 for a side of fries. If you order 3 burgers, how much will your total bill be?

a)

$5.00

b)

$6.25

c)

$7.50

d)

$8.75

53.

Choose the best answer.

a)

96

b)

192

c)

384

d)

1458

e)

46656

54.

Choose the best answer.

a)

$6\pi$

b)

$12\pi$

c)

$24\pi$

d)

$36\pi$

e)

$144\pi$

55.

Choose the best answer.

a)

a=0 or c=0

b)

a=1 and c=1

c)

a=-c

d)

b=0

e)

b+c=0

56.

Last month, Kyeisha made $480 working for 30 hours. This month, she will get a 15% increase in the amount she earns per hour. What will be her hourly rate, in dollars per hour, after the raise?

a)

$480

b)

$2.40

c)

$18.40

d)

$15.00

57.

During the click battle Adreinne clicked 110 times in 10 seconds. how many clicks would she click in 30 minutes?

a)

200,000

b)

198,000

c)

6,600

d)

19,800

58.

The ratio of boys to dirls at <ilwood School is 4 to 5. If there are a total of 27 children at the school, how many boys attend the Milwood school?

a)

4

b)

9

c)

12

d)

14

e)

17

59.

Linda computed the average of her six biology test scores by mistakenly adding the totals of five scores and dividing by five, giving her an average score of 88. When she realized her mistake, she recalculated to include the sixth test score of 82. What is the average of Linda's six biology tests?

a)

82

b)

85

c)

86

d)

87

e)

88

60.

In the process of milling grain, 3% of the original is lost due to spillage, and another 5% is lost due to mildew. If the mil starts out with 490 tons of grain, how much (in tons) remains to be sold after milling?

a)

425

b)

426

c)

420.5

d)

440

e)

450.8

61.

A rectangular box has a base measuring a by a meters and a height of b meters. Whic of the following represents the surface area of the box?

a)

6ab

b)

$a^2b$

c)

$a^2+2ab$

d)

$2a\left(a+2b\right)$

e)

$2\left(a^2+b^2\right)$

62.

If watermelons sell at $4.29 each or 4 for $14.80, how much is saved, to the nearest cent, on each watermelon y buying them 4 at a time?

a)

36 cents

b)

43 cents

c)

48 cents

d)

59 cents

e)

68 cents

63.

Joey made two trips to the all on the same day. On the first trip, he gave the cashier $50 and got back $12 in change. On the second trip, he gave the cashier $30 and got back $8 in change. After these trips, he had $45 left. How many dollars did he have before his trips to the mall?

a)

55

b)

67

c)

86

d)

105

e)

117

64.

Professor Jones gives his students a 2 minute break between each section of a final exam. If the final exam has 7 sections, how many minutes do the students spend on break during the exam?

a)

6

b)

7

c)

9

d)

12

e)

14

65.

Mark is deciding between two contracting jobs. Job A pays $45 per hour for the first 10 hours worked, and $60 per hour worked thereafter. job B pays a flat $50 per hour. Mark's goal is to earn $1,350 from his next contracting job. Which job, if either, allows him to work fewer hours to meet his goal, and how many hours fewer?

a)

Job A, 2

b)

Job A, 12

c)

Job B, 2

d)

Job B, 12

e)

Mark would work the same number of hours at either job.

66.

A number z is produced by multiplying x, which is divisible by 10, and y, which is divisible by 15. All of the following whole numbers must be factors of z EXCEPT:

a)

2

b)

3

c)

6

d)

20

e)

30

67.

There are three alarm bells. The first alarm bell rings every 6 minutes, the second rings every 8 minutes, and the third rings every 10 minutes. At a certain instant, the 3 alarm bells ring at the same time. How many minutes elapse until the 3 alarm bells next ring at the same time?

a)

60

b)

90

c)

120

d)

160

e)

480

68.

A recipe recommends fermenting a certain type of vegetable for 5 hours per ounce of the vegetable's weight. Based on this recipe, how long should an 18-ounce vegetable of this type be fermented?

a)

2 days 12 hours

b)

2 days 18 hours

c)

3 days 6 hours

d)

3 days 12 hours

e)

3 days 18 hours

69.

In a cycling race, Hugo finished a course 2.4 miles long in 7 minutes and 12 seconds. About how many miles per hour did he average for the race?

a)

60

b)

36

c)

30

d)

20

e)

15

70.

Mrs. Mazur and Mrs. Arthur are working together to grade 65 essays. Mrs. Mazur can grade 5 essays per hour and Mrs. Arthur can grade 6 essays per hour. If Mrs. Mazur starts grading first and Mrs. Arthur joins her two hours later, how many essays will Mrs. Arthur have graded by the time they finish?

a)

25

b)

28

c)

30

d)

35

e)

36

71.

At a certain school, 3/7 of the boys and 6/7 of the girls play tennis. If the number of male and female tennis players is the same, which of the following must be true?

a)

There are seven times as many girls as boys.

b)

There are twice as many girls as boys.

c)

There are as many girls as boys.

d)

There are twice as many boys as girls.

e)

There are seven times as many boys as girls.

72.

A blueprint drawing of a rectangular room is 10 inches wide and 8 inches long. The actual room is 25 feet wide. If the blueprint drawing is proportional to the actual room, what is the perimeter of the room, in feet?

a)

40

b)

50

c)

70

d)

80

e)

90

73.

There are 210 students at Salem High School, where the ratio of juniors to seniors is 3:4. There are 140 students at Swampscott High School, where the ratio of juniors to seniors is 4:3. The two schools hold a sports competition and all the juniors and seniors from both schools attend. What fraction of the students at the competition are seniors?

a)

2/5

b)

3/7

c)

4/7

d)

17/35

e)

18/35

74.

Amy's Appliance Store is offering a special deal on a toaster. A customer who buys the toaster at the regular price of p dollars can get an additional one at a 20% discount. Which of the following gives the total cost, in collars, a customer will pay for two toasters?

a)

0.8p

b)

1.2p

c)

1.6p

d)

1.8p

e)

2.2p

75.

A jar contains three different colors of gumballs: 30% are blue, 25% are red, and the rest are green. If there are 36 green gumballs in the jar, how many red gumballs are in the jar?

a)

20

b)

24

c)

28

d)

32

e)

80

76.

Two puppies, Max and Boxer, once weighted the same number of pounds. Since then Max's weight has increased by 15% while Boxer has gained half as many pounds as Max. Max now weighs 46 pounds. What is Boxer's current weight, in pounds?

a)

38

b)

40

c)

41

d)

43

e)

46

77.

During a sale, Eli's Electronics offered a 40% discount on the original price of a computer. Walter bought the computer during the sale, but the cashier made a mistake. After applying the discount, the cashier calculated the 5% sales tax using the original price of the computer instead of the discounted price. The amount by which Walter overpaid represents what percent of the original price of the computer?

a)

1%

b)

1.5%

c)

2%

d)

2.5%

e)

3%

78.

One number is 8 more than another. When the 2 numbers are added, their sum is 30. What is the larger number?

a)

8

b)

11

c)

16

d)

19

e)

22

79.

Jason has $546 in his bank account. Each day after the first day, he will withdraw $20 more than what he withdrew the previous day. How many dollars must Jason withdraw on the first day so that his bank account is empty by the end of the 7th day?

a)

$18

b)

$21

c)

$24

d)

$38

e)

$41

80.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

3 hours

b)

4 hours

c)

1 hour

d)

2 hours

81.

The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $290, how many tickets were sold?

a)

47

b)

58

c)

69

d)

113

82.

Andrea earns a flat fee of $20 per day plus an additional x dollars for each sale she makes. Andrea made 10 sales last Saturday and earned a total of $80. How much does Andrea earn for each sale she makes?

a)

$6

b)

$8

c)

$10

d)

$12

83.

Nicci's sister is 7 years less than twice Nicci's age, a. The sum of Nicci's age and her sister's age is 41. Which equation represents this relationship?

a)

a + (7 - 2a) = 41

b)

a + (2a - 7) = 41

c)

2a - 7 = 41

d)

a = 2a - 7

84.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

85.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

86.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

a)

18 miles

b)

20 miles

c)

22 miles

87.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

88.

a)

5

b)

11

c)

21

d)

26.5

e)

27.5

89.

a)

160

b)

161

c)

175

d)

179

e)

180

90.

a)

$\frac{1}{4}$

b)

$\frac{1}{2}$

c)

$\frac{1}{13}$

d)

$\frac{2}{13}$

e)

$\frac{13}{39}$

91.

a)

$\frac{1}{3}$

b)

$\frac{1}{4}$

c)

$\frac{1}{5}$

d)

$\frac{1}{6}$

e)

None of the above

92.

a)

$30.99

b)

$34.95

c)

$33.95

d)

$32.99

e)

$35.00

93.

a)

$9.89

b)

$10.14

c)

$8.69

d)

$7.24

e)

None of the above

94.

a)

$\frac{1}{16}$ %

b)

4%

c)

5 $\frac{15}{17}$ %

d)

6 $\frac{1}{4}$ %

e)

None of the above

95.

a)

20%

b)

25%

c)

30%

d)

33%

e)

40%

96.

a)

\frac{47}{15}

b)

$\frac{15}{47}$

c)

$\frac{32}{47}$

d)

$\frac{15}{62}$

e)

$\frac{47}{62}$

97.

a)

$\frac{15}{24}$

b)

$\frac{27}{148}$

c)

$\frac{9}{56}$

d)

$\frac{29}{168}$

e)

$\frac{33}{168}$

98.

a)

$88.00

b)

$93.28

c)

$96.00

d)

$140.80

e)

None of the above

99.

a)

$1,596

b)

$1,638

c)

$2,457

d)

$3,990

e)

None of the above

100.

a)

120

b)

130

c)

140

d)

150

e)

160

101.

a)

40

b)

50

c)

60

d)

80

e)

90

102.

a)

10 weeks

b)

12 weeks

c)

15 weeks

d)

20 weeks

e)

22 weeks

103.

a)

400 miles

b)

600 miles

c)

700 miles

d)

1,400 miles

e)

None of the above

104.

The average of 6 numbers is 48. What is the 6th number if the first 5

numbers are 34, 43, 52, 58, and 56?

a)

43

b)

45

c)

46

d)

49

e)

50

105.

A sandbox in the shape of a right rectangular prism has a length of

24 inches and a width of 18 inches. The volume of sand in the sandbox

is 5,184 cubic inches. To the nearest inch, what is the depth of sand in

the sandbox?

a)

6

b)

12

c)

36

d)

42

e)

72

106.

At Nifty Thrift Shop, Ben paid less than $20 for his purchase of n shirts and n pairs of pants. Each shirt cost s dollars, and each pair of pants cost p dollars. Which of the following expressions represents the amount of money, in dollars, that Ben should have received back after he paid for his clothes with $20?

(Note: There is no tax on purchases at Nifty Thrift Shop.)

a)

$n\left(p+s\right)$

b)

$nps$

c)

$20-nps$

d)

$20-n\left(p-s\right)$

e)

$20-n\left(p+s\right)$

107.

$\left|4\left(3\right)+5\left(-7\right)\right|=?$

a)

-23

b)

23

c)

35

d)

39

e)

47

108.

A circle with radius r inches is shown in the figure below; 4 non-overlapping squares, each with side s inches, are removed from the circle. The shaded region is the area of the circle remaining after the 4 squares were removed.

What is the area, in square inches, of the shaded region?

a)

$\pi r^2-4s^2$

b)

$\pi r^2-2s^2$

c)

$\pi r^2-s^2$

d)

$\pi r^2$

e)

$4s^2$

109.

In the figure below, lines q and r are parallel, line s is a transversal, and 3 angle measures are given in degrees. What is the value of b - a ?

a)

-20

b)

40

c)

70

d)

90

e)

110

110.

Which of the following graphs shows the solution set for the

inequality $2y-1\le9?$

a)

b)

c)

d)

e)

111.

Given the function $m\left(n\right)=2n^3+4$ , what is m(-2)?

a)

20

b)

10

c)

-4

d)

-12

e)

-16

112.

A semi-circle with center X is shown below. Points A, X, and D lie on the diameter. The measure of ∠AXC is 110°, the measure of ∠BXD is 90°, and the measure of ∠AXD is 180°. What is the measure of∠BXC?

a)

40

b)

35

c)

30

d)

20

e)

15

113.

The table below shows the number of cups of chopped onion, carrot, and celery required to make 600 ounces of each of 3 types of soup sold at Soup-a-Palooza Restaurant. Let x represent the price of 1 cup of chopped onion, y the price of 1 cup of chopped carrot, and z the price of 1 cup of chopped celery. All prices are in dollars.

How many cups of chopped onion are required to make 320 ounces of

vegetable soup?

a)

1.6

b)

1.8

c)

2.1

d)

2.6

e)

2.9

114.

What is sin(30°)?

a)

1/2

b)

√3 / 2

c)

0

d)

√2 ⁄ 2

ACT WORD PROBLEM

Total questions: 114

Worksheet time: 4hrs 56mins

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