Lesson 105 - Applied Math, Circuit Theory, Plans & Specs Reading Worksheet

18

( 3/ 4 × 12) ÷ 1/ 2 =

-23

-10°F = ___°C

123.4

.1234 A = ___ mA

.00050

.5 m Ω = ___ Ω

170

170,000 Ω = ___ k Ω

1 hr 22 min

3 hours 14 minutes - 1 hour 52 minutes =

308

3 hours 20 minutes + 1 hour 48 minutes = ___ minutes.

5 hr 8 min

3 hours 20 minutes + 1 hour 48 minutes = ___.

.0639

3 hours 20 minutes - 1 hour 48 minutes = ___ days.

1.26

32 mm equals ___ inches.

476.873

476,873 watts = ___ kW

5,000

5 kilohms is equal to ___ ohms.

.000565

565 µA = ___ A

7.2

7,200 V = ___ kV

1 37/48

7/8 + 9/16 + 8/24 =

5,287,000

How many meters are in 5287 kilometers?

175.21875

If the gas tank of the company truck holds 22.25 gallons and the truck averages 15.75 miles per gallon, the truck can travel ___ miles on half a tank of gas.

.3048

One foot equals ___ meters.

6 - 12

Platform planks should overlap supports not less than ___ inches nor more than ___ inches and should be secured from shifting.

6'-3 1/2"

The tallest electrician working for your company is 75 1/2 inches tall. This equals ___'-___".

12'-6 3/ 4"

The wall, shown above in Figure 105.1401, has an overall length that is 37'-8 1/ 4". Three receptacle outlets are to be installed in this wall. L2 is twice as long as L1. L2 should be ______'_______".

88

There are 67 questions on an exam. If you miss 8 of these questions your grade is ___%.

10 feet

Three meters equals approximately ___.

Circuit #1: uses 14 AWG wire

Two 250' long circuits are installed. Which of the circuits below has the greater resistance?

194

What is the Fahrenheit rating of a 90°C cable?

opens

When turned OFF, a circuit breaker ___ the circuit.

both I & II

Which of the following is a (are) resistive load(s)? I. a coffee maker II. an electric oven heating element

.04

Written in decimal form, 4% = ___.

7'-1"

[4 feet-9 inches] + [2 feet- 4 inches] = ____'-____"

2.4167

[4 feet-9 inches] - [2 feet- 4 inches] = ___ feet

31.75

1 1/ 4 inch equals ___ mm.

100,000,000

100 MW = ___ W

212F ((C*9/5)+32=F)

100°C = ___°F

.106

106 A = ___ kA

112,300

112.3 V = ___ mV

25,970

25.97 kW = ___ watts

0.0028

A 1-inch motor shaft is worn down to a diameter of 0.9972 inch. The shaft has a difference in diameter of ___ inch from the original 1 inch.

energized (live)

All circuit wires should be considered ___ until tested.

False

Electrical materials such as luminaires (light fixtures) should be stored on the closest stairway landing to where they will be installed.

closed

If current flows through a circuit, the circuit is ___.

aluminum

Knowing that aluminum conductors have a higher resistance than silver-plated copper conductors of the same size and length, which has the higher K value?

3

Ladders should extend at least ___ feet above the landing for easy access.

P

The abbreviation or symbol used to represent power in a formula is ___.

R

The abbreviation or symbol used to represent resistance in a formula is ___.

watts

The unit of measurement for power is ___.

Circuit #1 is run in conduit on the roof of a building.

Which circuit has a higher resistance during the summer? Both circuits have the same size wire, are the same length, and use the same conductor material

8056

[4 feet-9 inches] - [2 feet- 4 inches] = ___ yards

2'-5"

[4 feet-9 inches] - [2 feet- 4 inches] = ____'-____"

28'-7"

[6'-5"] + [22'-2"] =

.5

18 inches = ______._____ yards

253

2.53 = ___%

11'-11 5/ 32"

The length of a is ___ where b = 4 1/ 2' and c = 12 3/ 4'.

1.5

18 inches = ______._____ feet

20

1/ 5 = ___%

288

8 yards = ______ inches

320

An electrical contractor employs 240 electricians. This is 75% of the total number of employees. What is the total work force?

53, 9, 3

Electrical contractor number one has 42 journeyman electricians, 19 apprentice electricians, and 18 laborers. Electrical contractor number two has 95 journeyman electricians, 28 apprentice electricians, and 21 laborers. How many more journeyman electricians, apprentice electricians and laborers does electrical contractor two have?

10.9956 feet

The circumference of a circle equals diameter × 3.1416. Find the circumference of a spool of wire that has a radius of 1.75 feet.

72 3/ 4 inches

The electrician is asked to frame a safety poster for the shop. Two sides are 14.25 inches and the other two sides are 22.125 inches. What is the perimeter of the frame?

15%

Which of these is smaller? 15% or 2/ 7

39.5%

Which of these is smaller? 39.5% or 2/ 5

$16.00

1¼" conduit costs $1600 per 1000 foot bundle. The cost of one 10 foot stick is ___.

1 hr 32 min

3 hours 20 minutes - 1 hour 48 minutes = ___.

56 lbs

A ceiling grid has to support twelve 2 foot × 4 foot fluorescent luminaires (fixtures). Each luminaire weighs 4 2/ 3 lbs. What is the total weight of the fixtures?

116450

There are 137 bundles of EMT conduit in the shop and each bundle has 850 feet in it. What is the total footage for all the bundles?

30

.30 = ___%

819

A 325' long circuit (one wire run 325 feet from the circuit breaker to the motor + the second wire run 325 feet from the motor back to the circuit breaker) is installed using 10 AWG copper wire. The wire has a resistance of 1.26 mc008-1.jpg/1000 feet. What is the total resistance of the circuit conductors expressed in milliohms?

decreased

A circuit is to be run to a parking lot light. The blueprints call for you to run 10 AWG wire that has a diameter of .116 inches. You, however, run 8 AWG wire that has a diameter of .128 inches. You have ___ the total circuit resistance.

2640

A power pole has been installed 1/2 mile from the property line. This is ___ feet.

replaced

Damaged cords on power tools should be ___.

6 1/8

How thick (finish-to-finish) is a wall if two layers of 5/ 8-inch sheetrock are installed on each side of a 3 5/ 8-inch metal stud wall?

13.8 kV

How would 13,800 volts be written with a metric prefix?

Circuit #1: 30' long

If the same size wire is used for a circuit, which of the circuits below has the lower resistance?

$36.55

If you make $12.25 per hour and work 39 hours in a pay period how much Medicare/Social Security tax will be withheld from your check? The tax rate is the same for everyone and is 7.65%.

W

The abbreviation or symbol used to represent the unit of measurement for power is ___.

5000 mA

Which of the following represents the highest current (ampere) value?

510

You are going to have to dig a trench and install conduit underground to supply power to the office building as shown in Figure 105.1518. To run from the CenterPoint transformer to the service along Route B, ___ feet of conduit will be required.

23

How many 250-foot rolls of BX cable are needed if a job requires 5750 feet?

200,000

200 kA = ___ A

72

22°C = ___°F

8.0959

4.1112 + 3.875 + 6.4442 - 3.668 - 2.6665 = ?

150,000

A 150 kW generator produces __ watts of power.

28.9 feet

A 30-foot ladder is set on grade with the base 8 feet from a building. The ladder reaches the edge of a roof without extending beyond it. What is the vertical measurement of the roof from the grade?

57

A Budweiser delivery truck in west Texas is driven 1,368 miles in 4 days. The driver leaves the distributor and stops at 24 stores during this period. Between stops, the driver averages ___ miles. Do not count the mileage driving back to the distributor.

increased

A circuit is to be run to a parking lot light. The blueprints call for you to run 8 AWG wire that has a diameter of .128 inches. However, you ran #10 wire that has a diameter of .116 inches. You have ___ the total circuit resistance.

1920

A total load of 28,800 watts is distributed equally over 15 circuits. What is the load per circuit in watts?

8.24

An electrical apprentice earns $12.75 per hour. The apprentice is due a $1.05 per hour raise. His hourly wage will increase by what percentage?

$599.82

An electrical contractor purchased the following materials for a certain job: 2500 feet of 12/2G Romex ® for $321.30; 6-ceiling fans for $42.17 each; and 150 feet of ½ EMT conduit for $.17 per foot. What is the total cost of these items?

$401.17

An electrician earns $14.50 per hour. He worked the following hours: first day: 5 3/ 4 hours, second day: 4 1/ 2 hours, third day: 7 1/ 4 hours, fourth day: 3 1/ 2 hours, and the fifth day: 6 2/ 3 hours. The electrician earned $___ in the five days.

227

On Monday there were 1021 electricians working. Tuesday was bad weather and only 794 electricians were working. How many electricians did not work on Tuesday because of bad weather?

$2.75

On your job you are working 8-hour days. You are installing 32 light fixtures in those 8 hours. You make $11 per hour. How much per fixture does it cost your contractor to install each light fixture?

27.09

Each week you have 6% of your pay taken out of your check for your 401K retirement plan. You make $10.50 per hour. You worked 42 hours this week and get paid time-and-a-half for all hours over 40. $___ will be taken out of your check this week for your 401K.

$24

Eight light fixtures cost $192.00. What is the cost of one light fixture?

36

For a length of Romex ® cable 237 feet in length, 80 staples were used. The staples are equally spaced. One staple is placed at the beginning and one at the end. How far apart are the staples placed?

1920 watts

Four rooms of a house contain lamps that have the following wattages: The living room has 4-150 watt lamps; the dining room has 5-75 watt lamps; the master bedroom has 2-75 watt lamps and 4-150-watt lamps; the bathroom has 3-65 watt lamps. What is the total load when all lamps are operating?

4

How many complete sections of Wiremold ® can be cut from a 5-foot-long piece that you remove from the shipping box? Each section will need to be cut so that it is 1'-2 3/ 8" long.

4350

If you use 25% of the conduit from the storage rack how many feet of conduit will you have remaining on the rack? You started with 580 sticks of pipe that are each 10 feet long.

$5.71

On your job you have started working 10-hour days (7 am to 5:30 pm with ½ hour for lunch). However, for the additional two hours overtime worked per day you are allowed a 15-minute break at 3:30. When you were working 8-hour days you were installing 24 light fixtures during those 8 hours. You make $10 per hour. Assuming that you continue to install the same number of fixtures per working minute and considering only your wages how much per fixture does it cost your contractor to install each light fixture that you install after 3:30 pm? Remember you are being paid time-and-a-half after 3:30 but you don't go back to work until your afternoon break is finished at 3:45 pm.

$220,000

One of the partners of Sparky's Electrical Company bought 40% of the business. The share cost to him was $88,000. What was the total value of the company?

19'-9 1/ 8"

Refer to Figure 105.1403. This is a plan view (looking down). The conduit is to be stubbed up in the center of the cement block wall. The block wall is 6 inches wide. What is the dimension shown in the drawing?

12.83

Scenario 105.1300 An electrical contractor has the following field personnel roster on a particular job: 1 Assistant Project Manager who makes $38 per hour 1 clerk who makes $10.25 per hour 1 general foreman who makes $34 per hour 4 foremen who make $22.50 per hour each 7 crew leaders who make $17.50 per hour each 48 apprentices who make $11 per hour ( average) each 6 laborers who make $8.25 per hour ( average) each Refer to Scenario 105.1300, shown above. The average hourly wage of each person on this job is $ ___.

68

Scenario 105.1300 An electrical contractor has the following field personnel roster on a particular job: 1 Assistant Project Manager who makes $38 per hour 1 clerk who makes $10.25 per hour 1 general foreman who makes $34 per hour 4 foremen who make $22.50 per hour each 7 crew leaders who make $17.50 per hour each 48 apprentices who make $11 per hour ( average) each 6 laborers who make $8.25 per hour ( average) each Refer to Scenario 105.1300, shown above. The total number of field personnel on this job is ___.

$16,345.56

The EPA fuel economy ratings for an electrical company's trucks is 14 miles per gallon. At a cost of $3.19 per gallon, how much did the company have to pay for fuel if the total miles traveled for all its trucks was 71,736?

1 ft.-5 1/ 2 in.

The company truck measures 239 1/ 2 inches long. The company garage is 21 feet and 9 inches inside. The garage door takes up an additional 4 inches of interior space. How many feet and inches of space will be left after parking the truck inside?

.25

The decimal equivalent of 1/ 4 is ___.

.125

The decimal equivalent of 1/ 8 is ___.

.625

The decimal equivalent of 5/ 8 is ___.

202,804

The electrical contractor has seven service trucks. They each are driven an average of 28,972 miles per year. What is the total number of miles traveled in a year for all seven trucks?

76 3/ 16

The electrician had a piece of conduit 76 3/ 4 inches long. To fit the piece between two electrical boxes, he had to cut 9/ 16" off one end. After the piece was cut off, the conduit was ___ inches in length.

2

The electrician is sent to the warehouse to check to see how many 4×1 1/ 2-inch square boxes are there. She finds 4 cartons all partially full. Each carton holds 48 boxes. Carton 1 contains 37 boxes, carton 2 contains 34 boxes, carton 3 contains 19 boxes, and carton 4 contains 43 boxes. She is told to fill the cartons to capacity, leave the partially full cartons in the warehouse, and put the full cartons in the truck. How many cartons will she put into the truck?

8'-2 1/ 8"

The electrician is working on a job that requires 4 pieces of conduit. The following lengths are required: 2'-0 1/ 8", 3 feet-6 1/ 2 inches, 1-foot-7 3/ 4 inches, and 11 3/ 8 inches. The saw blade removes 1/ 8 inch for each cut. The shortest piece of conduit from which all of these pieces can be cut is ___.

$897.60

The labor to do a job is two electricians for 6 days, working 8 hours a day. The cost per man-hour is $9.35. What is the cost of labor for the job?

3'-10 11/ 16"

The length of a is ___ where b = 8 2/ 3' and c = 9 1/ 2'.

68'-1 13/ 32"

The length of b is ___ where a = 12 2/ 3 yd and c = 78 ft.

36'-10"

The length of the perimeter of the rectangle shown above in Figure 105.1505 is ___.

3'-1 13/ 16"

The length of the perimeter of the right triangle is ___ where a = 9" and b = 13".

0.28125

The outside diameter of a piece of conduit is 3.9375 inches and the inside diameter is 3.375 inches. The wall thickness of the conduit is ___ inch(es).

516'-0"

The trenching machine can dig 21 1/ 2 yards of 4-foot deep ditch per hour. How many feet and inches will be dug at the end of an 8-hour day?

35.8

There are 67 electricians on a jobsite. Thirty-one (31) are "career" helpers. Twenty-four (24) are indentured apprentices. Nine (9) are journeymen. Three (3) are foremen. What percentage of the electricians are indentured apprentices?

49.83

To the nearest hundredth, find the quotient of 48.33/.97

68.9

Twenty-one (21) meters is equal to how many feet?

1443.5

What is the sum of 347 + 28 + 1049 + 13.5 + 6?

113

You are going to have to dig a trench and install conduit underground to supply power to the office building as shown in Figure 105.1518. To run from the transformer to the service along Route B instead of along Route A, ___ more ( additional) feet of conduit are required.

9

You are told to reduce the number of electricians on your job by 13%. You have 68 on the jobsite. Another foreman will take all that you have to get off your job. How many electricians do you need to send to the other job? Don't send a decimal fraction of an electrician to the other foreman. Round up to the next whole number. The other foreman needs his electricians to have all their body parts.

3.578

1.986 ÷ .555 = ?

$12.00

An electrician has a gross pay of $552.00 and worked 44 hours. The electrician is paid 1 1/ 2 times his hourly rate for any hours worked over 40. What is the hourly rate of pay for the electrician?

695 feet 12-3/G, 4813 feet 12-2/G

An electrician just wired 4 houses and used the following material: the first house used 178 feet of 12-3/G and 1137 feet of 12-2/G; the second house used 213 feet of 12-3/G and 1291 feet of 12-2/G; the third house used 135 feet of 12-3/G and 1213 feet of 12-2/G; the fourth house used 169 feet of 12-3/G and 1172 feet of 12-2/G. How many feet of 12-2/G and 12-3/G was used?

247.03

An electrician makes $410 per week. The company withholds 25% for tuition, 12.5% for social security, and 2.25% for Medicare. The electrician's take-home pay is $___.

$8,557.50

An electrician wants to buy a used pickup truck to go back and forth to work. One of the auto dealerships has a pickup for sale at $9,780.00. The dealer will allow a 12.5% discount for a quick sale. The electrician will pay $___ for the truck with this discount.

12"

Each of the two layers of sheetrock is 1/ 2 inch thick. The (metal) stud is 5 5/ 8 inches. The sheathing is 1/ 2 inch. There is a 1 1/ 4-inch air space between the sheathing and the brick. The brick is 3 5/ 8 inch.

7.0

Rounded off to the nearest tenth, 6.98 is ___.

20

You are laying out an underground run of PVC to stub up into a wall at Point B as shown in Figure 105.1517. When the wall is built, it will intersect the concrete form at a right angle at Point C. The distance between Points C and B is 12 feet. The distance between Points A and C is 16 feet. To make certain that the PVC at Point B will stub up into the future wall, you lay out your tape measure between Points A and B. This distance should be ___ feet.

66

You score a 62% on this exam and your homework and pop quiz grades are: homework: 100 100 40 95 90 0 100 70 pop quizzes: 50 95 100 98 20 100 84 The average of all your homework grades accounts for 15%, the average of all your quiz grades accounts for 15%, and your exam grade accounts for 70% of your quarterly grade. To the nearest whole number, your average grade for the 2 nd quarter of the school year is ___ %.