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ACT WorkKeys - Applied Math

Total questions: 53

Worksheet time: 27mins

Name
Class
Date
1.

To test the rate of stream water evaporation, you fill two 18-inch containers to the brim with stream water and leave them in protected areas in the shade. When you return one week later,Container A is 8/18 -inches full and Container B is 5/18 -inches full. How much less water, in the simplest form, is in Container B?

a)

1/3 of an inch

b)

1/6 of an inch

c)

3/8 of an inch

d)

12/18 of an inch

2.

A customer hands you three (3) five-dollar bills, five (5) quarters, and two (2) dimes to pay the full amount for an item. How much does the item cost?

a)

$15.45

b)

$16.35

c)

$16.20

d)

$16.45

3.

While making deliveries for a courier service, you drive 0.75 miles. What fraction of a mile, in simplified form, have you driven?

a)

1/4 mile

b)

2/4 mile

c)

75/100 mile

d)

3/4 mile

4.

You are a carpenter and have a 3/16 inch piece of wood and a 5/16 inch piece of wood. If you glue the pieces together, what is the new measurement of the combined piece of wood in its lowest form? Type your answer in the box as a fraction in the simplest form. (a)   inches

5.

A part-time contractor at a manufacturing facility earns $11.00 per hour. He worked 4 1/4 hours on Tuesday, 3 1/4 hours on Wednesday, 7 1/4 hours on Thursday, and 5 1/4 hours on Friday. How much money did he earn for the week?

a)

$20.00

b)

$173.25

c)

$209.00

d)

$220.00

6.

A customer purchases three pairs of pants for $17.95, $18.32, and $20.98 (prices include tax). How much change should you give back if they paid with one $50 bill and one $20 bill?

a)

$12.75

b)

$36.27

c)

$38.33

d)

$57.25

7.

You manage inventory for Swim Chem, a large distributor of chemicals for indoor and outdoor pool companies. Your division sold 2.4 tons of chlorine on Monday, 4.4 on Tuesday, 1.8 on Wednesday, and 2.8 on Thursday. If last week’s sales totaled 14.4 tons, how much chlorine sold on Friday? Type your answer in the box below. (a)   tons of chlorine

8.

An operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3 of his pay. What is his total pay per month? $ (a)  

9.

You’re laying plumbing on a construction site. The blueprints call for 8 sections of 5 3/4 inch long piping. How many inches of piping will you use?

a)

12 1/2

b)

40 inches

c)

9 inches

d)

46 inches

10.

Your employer pays you 1 1/2 times your normal wage on holidays. If your normal hourly wage is $12/hour, how much will you make per hour on the holiday?

a)

$12

b)

$14

c)

$16

d)

$18

11.

You have 50 rolls of fencing that are each 15 1/2 feet long. What is the total length of fencing? (a)   feet

12.

As a project manager, you need to plan production runs over the next 3 1/2 weeks. If your team is able to produce 1250 widgets in one week, how many widgets can they produce in 3 1/2 weeks?

a)

2,500

b)

3,750

c)

2,625

d)

4,375

13.

One of your clients at Wills, Trusts & Estates Law, PLLC passes away. His estate is worth $72,000. He leaves half to charity, and 1/8 to each of his four children. How much will each child receive? $ (a)  

14.

If you have a job that earns $160 in 2 days, how much will you earn in 7 days? $_____


Days Earning

2 - $160

3 - $240

7 - ______

(a)  

15.

At a city water purification plant, water is mixed with a release agent in a ratio of 8:1. You are using 32 ounces of water. How many ounces of the release agent should you mix with the water? (a)   ounces of release agent

16.

You’re making deliveries and can travel 324 miles on 18 gallons of gas. How far can you travel on 41 gallons of gas?

a)

8 miles

b)

18 miles

c)

142 miles

d)

738 miles

17.

You’re working as a floor rep in the local home improvement store. The store wants to increase its inventory. Last year, 40 lawn mowers cost $4,776. At the same cost, how much will 120 lawn mowers cost this year?

a)

$18,800

b)

$53,120

c)

$171,040

d)

$14,328

18.

The telephone company purchased 95 yards of wire for $1,235 in September. They plan on making a purchase of 285 yards in October. How much will the October purchase cost?

a)

$412

b)

$4,940

c)

$2,470

d)

$3,705

19.

You are overseeing a machine that seals 80 soda cans per minute. In one hour of time, how many soda cans will be sealed? (a)   soda cans

20.

A catering service is serving a party with 75 guests. The recipe for cornbread calls for 9 cups of flour and will serve 15 people. How much flour will be needed to serve cornbread to the 75 guests? (a)   cups of flour

21.

Your company sells $25,543 worth of merchandise in January, $15,550 in February, and $32,461 in March. What are the average sales for these months?

a)

$18,388

b)

$36,777

c)

$73,553

d)

$24,518

22.

A human resource manager is researching the entry-level salary for a technician position. He determined that other companies in the area are paying $15.50, $16.85, $14.25 and $15.95 per hour. What is the average pay for an entry-level technician position?

a)

$14.10 per hour

b)

$16.95 per hour

c)

$15.73 per hour

d)

$15.64 per hour

23.

On a recent business trip, a salesman traveled 52 miles the first hour, 64 miles the second hour and 49 miles the third hour. How many miles did he average per hour? Type your answer in the box. (a)   miles per hour.

24.

Sales Team A at Drive-A-Lot Cars sells nine (9) cars during the first week of the new sales period. Over the next three weeks, they sell six (6) cars, ten (10) cars and seven (7) cars. What is the team’s average weekly sales for the four weeks?

a)

4

b)

7

c)

32

d)

8

25.

You’re recording inventory after a big weekend sale in the travel section of a department store. There are 20 remaining suitcases, of which 16 will be further marked down. True or False: The fraction 20/16 is in the simplest form.

a)

TRUE

b)

FALSE

26.

You are working in a coffee shop that specializes in mixing rare beans to provide customers with the perfect cup of coffee. To make the Signature Blend, you need to fill the coffee machine with 1 3/4 cups of the Bean A and 3 1/2 cups of Bean B. How many cups of coffee beans are required for the signature blend?

a)

4 1/4 cups

b)

5 1/4 cups

c)

5 3/4 cups

27.

The accounting office needs you to complete your time sheet so they can process payroll. You worked 6 1/4 hours on Project A, 11 1/2 hours on Project B and 13 3/4

hours on Project C. Convert the fractions to decimals and add to determine the total amount of time spent on projects. (a)   Hours

28.

A metal alloy is made by mixing 1/2 ounce of metal C with 1/3 ounce of metal D. What is the total weight of the alloy?

a)

1/6 of an ounce

b)

1/5 of an ounce

c)

1/2 of an ounce

d)

5/6 of an ounce

29.

At a residential construction site, a piece of crown molding is 64 1/4 inches long. If you cut 30 7/8 inches off, how much crown molding is left?

a)

25 3/8 inches

b)

35 inches

c)

30 1/8 inches

d)

33 3/8 inches

30.

Your company has decided to give 15% of all weekend sales to a community charity. If the total weekend sales are $9,520, your company will give $635.

a)

True

b)

False

31.

You’re in charge of evening entertainment for an important client group. You use the company credit card to take their four representatives out to dinner. Two (2) people order the steak entrée for $32.50. Two (2) people order the grilled tuna for $28.90, and you order the lasagna for $24.95. When the bill comes, you tip 20%. What is the amount of tip you leave? $ (a)  

32.

A quality report for a production line shows a score of 59 points on a 65-point inspection test. A passing score is 95% compliance. Did the production line pass inspection?

a)

No. The score is only 85%

b)

No. The score is only 89%.

c)

Yes. The score is 96%.

d)

No. The score is only 91%.

33.

A machinist is allowed 1% tolerance on a shaft that measures 15 inches long. What is the amount of tolerance?

a)

1.5 inches

b)

0.15 inches

c)

15 inches

d)

150 inches

34.

You’re working in the sedan section of Dean’s Car Dealership. A customer makes a down payment of 15% on a new car that costs $13,450. How much is the down payment?

a)

$201.75

b)

$2,017.50

c)

$269.00

d)

$2,690.00

35.

You work in a department store and sell a dress that is on sale for $58.80. If the regular price of the dress is $98, what is the discount?

a)

20% off

b)

40% off

c)

30% off

d)

60% off

36.

The combined sales tax rate for your county is 7.25%. How much would you pay to purchase a new video game system with a listed price of $299?

a)

$21.68

b)

$299.72

c)

$320.68

d)

$326.55

37.

As purchasing assistant at Rosie’s Retail, you order a unique item for $1,055. You mark it to sell for 117% of the purchasing cost. How much do you sell it for?

a)

$1,055

b)

$1,371.50

c)

$1,201.21

d)

$1,234.35

38.

A board that measures 3/4 feet long is cut into 6 equal pieces. What is the length of each piece?

a)

1 1/2 inches

b)

3 1/2 inches

c)

3 inches

d)

9 inches

39.

A seamstress is covering a banner with fabric. She has a piece of material that is 2 yards long and 36 inches wide. What size banner can she cover with the material? Multiply the length and width to find the answer.

a)

2 square yards

b)

4 square yards

c)

72 square yards

d)

144 square inches

40.

A trucker had a load of grain containing 2 tons. She unloaded 1 ton and 1,200 pounds at the warehouse. How much grain does she still have left on the truck?

a)

800 pounds

b)

600 pounds

c)

1,200 pounds

41.

On a recent business trip, it took 7 hours 30 minutes to drive 375 miles. How many miles per hour was the average?

a)

50 mph

b)

60 mph

c)

72 mph

d)

80 mph

42.

You are employed at a grain processing plant that sells cornmeal for $1.28 per pound. If a sack of cornmeal weighs 4 pounds 12 ounces, how much does it cost?

a)

$6.08

b)

$4.95

c)

$5.12

d)

$6.40

43.

A mechanic has a radiator hose that measures 32 feet long. It needs to be cut into pieces equaling 5 feet 3 inches. How many whole pieces can it be cut into?

a)

4 pieces

b)

6 pieces

c)

7 pieces

d)

8 pieces

44.

A pharmacist mixes 3 grams of compound with 5,000 milligrams of solution to create a prescription. How many total grams is the prescription?

a)

8 grams

b)

800 grams

c)

8,000 grams

45.

As the grounds maintenance manager, you need to replace the fence of a 30 foot by 40 foot commercial lot. Which of the following shows the calculation for the perimeter of the lot?

a)

30' + 40' + 30' + 40' = 140'

b)

30' + 40' = 70'

c)

30' + 30' + 30' + 40' = 130'

d)

30' × 40' = 120 square feet

46.

A glass company is to make a panel of glass for a front door. What is the area of the glass panel if it is 120 cm long and 20 cm wide?

a)

2400 square cm

b)

240 square cm

c)

2600 square cm

d)

2800 square cm

47.

A builder needs to tile a 7-foot-by-8-foot room with one-foot square tiles. How many tiles will she need? Type your answer into the box. (a)   tiles

48.

You need to rent meeting space in a downtown co-working center that charges $25/hour per room. If you want the largest room for your money, which room is a better deal? The Hub Room, measuring 9 feet by 11 feet, or the Huddle Room, measuring 8 feet by 12 feet, and by how much?

a)

The Hub Room, by 3 sq feet.

b)

The Huddle Room, by 3 sq feet

c)

They are the same size.

d)

The Hub Room, by 11 sq feet.

49.

A carpet cleaner charges $0.70 per square foot to clean carpet. In the next house she is going to clean, the living room measures 18 feet by 24 feet. How much will she charge?

a)

$132.00

b)

$58.80

c)

$258.50

d)

$302.40

50.

A contractor has been hired to install flooring in a concert hall in the shape of a circle that is 21 feet across. How many square feet of flooring will be required? Use 3.14 for π.

a)

346.19 square feet

b)

32.97 square feet

c)

65.94 square feet

d)

1384.74 square feet

51.

A painter needs to paint a circular helicopter landing pad that is 24 yards in diameter. A gallon of paint covers 59 square yards. How many full gallons of paint are needed to cover the landing pad?

a)

77 gallons

b)

8 gallons

c)

83 gallons

d)

452.16 gallons

52.

An architect is designing a circular opening 16 feet in diameter to make room for a spiral staircase. If pi = 3.14, what will the circumference of the circular opening be?

a)

50.24 feet

b)

60.16 feet

c)

48 feet

d)

200 feet

53.

You’re manufacturing a border around a circular café table. The table is 36 inches across. How much border is needed for the project?

a)

56.52 inches

b)

226.08 inches

c)

113.04 inches

d)

1017.36 inches