MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the number in words.
1 135,060 1) _______ A)
One million, thirty-five thousand, sixty
Thirteen thousand, five hundred sixty C)
Thirteen thousand, five hundred six
One hundred thirty-five thousand, sixty
9,300,695
2
Nine million, three hundred thousand, six hundred ninety-five B)
Nine million, thirty thousand, six hundred ninety-five C)
Nine million, three thousand, six hundred ninety-five D)
Ninety-three thousand, six hundred ninety-five
3 22,000,674 3) _______ A)
Two million, two thousand, six hundred seventy-four B)
Twenty-two million, six thousand seventy-four C)
Twenty-two million, six hundred seventy-four D)
Twenty-two hundred million, six hundred seventy-four
64,568,009
4) _______ A)
Sixty-million, five thousand sixty-eight hundred, nine B)
Sixty-four million, five hundred sixty-eight thousand, nine C)
Sixty-four million, five hundred thousand, sixty-eight hundred, nine D)
Sixty million, forty-five thousand, sixty-eight hundred and nine
235,060
5)
_______
A)
Twenty-three thousand, five hundred sixty B)
Two million, thirty-five thousand, sixty C)
Twenty-three thousand, five hundred six D)
Two hundred thirty-five thousand, sixty
4,200,091
6) _______ A)
Four million, two hundred ninety-one B)
Forty-two thousand, ninety-one C)
Four million, twenty thousand, ninety-one D)
Four million, two hundred thousand, ninety-one
4
5
6
Five hundred thousand, one hundred sixty-eight B)
Five thousand, one hundred sixty-eight C)
Five million, one thousand, sixty-eight D)
Fifty-one thousand, sixty-eight
Thirty thousand, seventy-two
Three million, seventy-two C)
Three hundred thousand, seventy-two
Three thousand, seventy-two 9
24,807 9)
Two hundred forty-eight thousand, seven B)
Two million, forty-eight thousand, seven C)
Twenty-four thousand, eight hundred seven D)
Two thousand, four hundred eighty-seven
Seven million, one thousand, forty-six
Seven thousand, one hundred forty-six C)
Seven hundred one thousand, forty-six
Seventy thousand, one hundred forty-six
Rewrite the following number using digits. 1
Eight thousand, one hundred sixty-seven 11) ______ A) 810,067
81,067
8167
800,167 1
Thirty-two thousand, nine hundred five 12) ______ A)
320,905
Seven thousand, six 13)
Forty-eight thousand, seventeen 14) ______ A)
48,170 1
Six hundred thirty-eight thousand, nine hundred ninety-seven 15) ______ A)
638,997,000
638,977
Two hundred six thousand, one hundred seven 16) ______ A) 206,107
One hundred million, six thousand 17) ______ A) 100,006,000
1006
1,600,000
106,000,000 1
Ten million, three hundred fifty-four thousand, two hundred three 18) ______ A)
135,423
1,354,203
1,354,230 1 Seven billion 19) ______ A)
14,000,000,000
7,000,000,000 C)
7,000,000,000,000
7,000,000 Round the whole number to the given place value. 2 37 to the nearest ten 20)
58,901 to the nearest hundred
2 1,459 to the nearest thousand 22) ______ A) 900
1,000
2,000
1,100 2 91,089 to the nearest thousand 23) ______ A) 91,000
91,100
288,717 to the nearest ten thousand
300,000
28 8,000 Solve the problem.
The amount of taxes collected in one year is $ 11, 962,185,864. Round this amount to the nearest hundred-thousand.
______ A)
$ 11, 962,185,900
$ 11, 962,190,000
$ 11, 962,200,000
$ 11, 962,000,000 2
The number of atoms in a slice of cheese is 17, 343,195,278. Round this amount to the nearest hundred-million.
17, 343,000,000 atoms
17, 300,000,000 atoms C)
17, 340,000,000 atoms
17, 343,195,000 atoms
The gross national product for the United States was . Round this amount to the nearest ten-billion. 27) ______ A)
$ 52,990,000,000,000
$ 53,000,000,000,000 C)
$ 52,992,000,000,000
$ 50,000,000,000,000 2
The gross national product for the United States was . Round this amount to the nearest hundredbillion.
$ 52,690,000,000,000
$ 52,700,000,000,000 C)
$ 53,000,000,000,000
$ 52,685,000,000,000 Add.
1,318
1,018
1,220
9,586
9,576
9,486
10,586 3 33) ______ A) 1,244
759
6,363
6,263
10,908
6,353
70,336
70,446
70,436
77,492
152,899
141,799
141,899
142,899
8,682 5,354 43)
20,917
21,127
20,127
21,106
19,454 5,931 44) ______ A) 102,692
101,592
100,592
101,692
2,727
2,617
2,717
2,627 4 8,859 769 89 46) ______ A) 16,051
15,961
16,951
17,061
5,729
11,523
18,724,505 2,589,716 835,223 48) ______ A) 37,825,421
30,438,414
30,308,414
30,296,284 4 1 2 2 + 1 3 2 49) ______ A)
3 3 5
2 2 3 + 2 1 3 1
4 5 3
3 3 6
3 2, 1 3 2 + 1 3, 2 1 4
6 3, 3 4 6
4 5, 2 5 3
4 5, 2 5 6
4 5, 3 4 6
+ 2,265
2,809
1,809
2,709
513 + 63,841 54) ______ A) 64,354
65,784
2,369 + 1,233 55) ______
3,602
3,502
2,602
3,592
31,763 + 30,327 56) ______ A) 72,090
62,090
10,892
10,913
A mechanic is taking inventory of brake fluid in stock. He has 17 gallons of DOT 3 brake fluid, 28 gallons of DOT 4 brake fluid, and 42 gallons of DOT 5 brake fluid. How many total gallons of brake fluid does he have in stock?
Kirchoff's law states that the sum of the voltage drops around a closed circuit is equal to the source voltage; that is,
Calculate the source voltage for the circuit shown.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
A plumbing supply company sold the following lengths of PVC pipe in one day: 48 ft, 25 ft, 8 ft, and 14 ft. What was the total length of pipe sold?
While building a house, a mason laid 1548 bricks on the first day, 1288 on the second day and 1392 on the third day. How many bricks did he use?
A contractor paid his laborers the following for one week’s work:
Paul - $365
Marty - $274
Brad - $489
Thomas - $455
What was his salary expense for the week?
6
In preparing an estimate to remodel a kitchen, a contractor predicts cabinet costs of $750, sink and countertop $485, paint and wallpaper $229, floor tile $565, appliances $3859 and labor $1100. What is the total cost?
67)
6
A factory producing nuts and bolts produces the following number of bolts:
Monday: 6,742
Tuesday: 9,837
Wednesday: 10,471
Thursday: 8,153
Friday: 12,477
How many bolts did the factory produce that week?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve problems using a calculator.
6
An electronics mixing circuit adds two given input frequencies to produce an output signal. If the input frequencies are 38,102 kHz and 55,981 kHz, calculate the frequency of the output signal.
Amy's Salad-in-a-Jar restaurant has not been successful, and she's wondering if she should sell it and move to a better location. During the first three months of operation, her expenses were as follows:
Rent $5390
Supplies $1950
Part-time cashier $2000
Transportation $850
Utilities $915
Advertising $580
Miscellaneous $175
Her monthly income was:
October $2850
November $1800
December $1195
(a) What was her total expense for the three-month period?
(b) What was her total income for the three-month period?
(a) $11,860, (b) $5845
(a) $10,240, (b) $6109
(a) $11,860, (b) $6109
(a) $10,240, (b) $5845
A mapper is a person employed by an electrical utility company who has the job of reading diagrams of utility installations and listing the materials to be installed or removed by engineers. Part of a typical job list might look like this: REMOVAL (in feet of conductor)
(a) How many total feet of each kind of conductor must the engineers remove to complete the job?
(b) How many feet of conductor are to be removed at each of the four locations?
71) ______
A)
(a) 2016 feet of No. 12 BHD, 107 feet of #TX, 1346 feet of 410 AAC, 7369 feet of 110 ACSR, and 315 feet of 6B (b) 1665 feet at A1, 5185 at B7, 2968 at B9, and 1333 at C3
B)
(a) 2003 feet of No. 12 BHD, 109 feet of #TX, 1369 feet of 410 AAC, 7358 feet of 110 ACSR, and 322 feet of 6B (b) 1665 feet at A1, 5176 at B7, 2970 at B9, and 1347 at C3
C)
(a) 2005 feet of No. 12 BHD, 110 feet of #TX, 1369 feet of 412 AAC, 7369 feet of 110 ACSR, and 317 feet of 6B (b) 1665 feet at A1, 5185 at B7, 2970 at B9, and 1361 at C3
D)
(a) 2005 feet of No. 12 BHD, 107 feet of #TX, 1369 feet of 410 AAC, 7369 feet of 110 ACSR, and 317 feet of 6B (b) 1665 feet at A1, 5185 at B7, 2970 at B9, and 1347 at C3
Subtract.
5,734
5,726
1,286 81)
1,007
855
7
995
8,827 82) ______ A) 4,311
8,355
4,355
4,351
563
5,995 84) ______ A) 5,764
2,702
2,762
2,764
6,688 85) ______ A)
2,429
6,435
2,435
52,355 86)
44,249
44,359
44,349
51,359
56,895 87) ______ A) 34,599
34,663
34,659
90)
he have left to paint?
A cement truck was filled with 6360 lb of cement. Throughout the day cement was poured at four sites in the following amounts: 1259 lb, 2512 lb, 958 lb, and 860 lb. How much cement was left in the truck at the end of the day?
J. Hartley poolbuilders charges $15,600 to build a residential swimming pool. Their costs are $1568 for excavation and steel reinforcement; $1555 for concrete and plaster; $2850 for tile and coping; $1675 for plumbing and electric work; and $2579 for equipment. What is their profit?
Modern plumbing and Heating announced a profit of $48,127 in 2000. In 2001, their profit was $52,289. Find the increase. 93)
Which total volume is greater, four drums containing 48, 35, 29, and 57 liters or five drums containing 30, 22, 18, 18, and 35 liters? By how much is it greater?
A machinist worked 40 regular hours and 10 overtime hours during one week and earned $660. If his regular pay Is $480, what did he earn during overtime hours?
Determine the missing dimension in the drawing:
A carpet installer has purchased 2350 sq ft of carpet for a home with 2183 sq ft of floor space. How many square feet of carpet will be left over after installation?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve problems using a calculator. 9
If a mechanic's assistant earns $20,746 per year and he pays $4019 in withholding taxes, what is his take-home pay?
The revenue of a construction company for the year is $6,682,957, and the total expenses are $5,995,974. Find the difference, or profit, for that year.
$686,983
$686,938
$686,984 1
Balance the following checking account record:
Date Deposits Withdrawals Balance
8/1 $8700
8/8 $2290
8/15 $220
8/22 $573
8/29 $1057
9/1 A
(a) Find the new balance A. (b) Keep a running balance by filling each blank in the balance column.
100) _____ A)
(a) $10,245, (b) $10,998, $10,690, $11,527, $10,286
(a) $10,288, (b) $10,990, $10,761, $11,343, $10,283 C)
(a) $10,286, (b) $10,896, $10,730, $11,622, $10,286
(a) $10,286, (b) $10,990, $10,770, $11,343, $10,286
1
An electric meter installed by a construction company at a work site read 986 kilowatt hours on July 1 and 10,649 kilowatt hours on August 1. How many kilowatt hours of electricity were used at the site during the month of July?
101) _____ A)
1,546
1,526
1,636
1,536
A) 1,815
1,825
1,835
1,925 1
A) 2,775
2,865
2,765
2,755 1
93,004
92,904
92,914 1 112)
49,905
448,036
449,145 1 113)
A) 3,733,878
3,743,778
3,732,778
3,733,778 1 114) _____ A) 3,306,500
3,317,500
3,307,600
3,002,217
3,012,217
3,002,317
3,001,217
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 1
Eight individually powered machines have motors that use 455 watts each. What is the total wattage used when all machines are running?
A mechanic earns $42 per hour. What is his pay if he works 38 hours in one week?
A plumber has 28 pieces of 12-foot PVC pipe. What is the total length of PVC that he has?
If a car averages 68 miles per hour, how far will it travel in 5 hours?
A carpenter is building a bookcase. Each shelf holds 34 books. If he builds 7 shelves, how many books will the bookcase hold?
A door contains two hinges. A builder is constructing an office building with two doors in each office. How many hinges are needed if the building has 49 offices?
If a copy machine can copy 34 sheets of paper in one minute, how many sheets can it copy in 2 hours? (60 minutes = 1 hour)
A truck’s gas tank holds 45 gallons of gas. If the truck can travel 15 miles per gallon, how many miles can the truck travel before refueling?
If a small car repair shop earns an average of $725 a week, how much would it earn in a year (52 weeks)?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve problems using a calculator. 1
If an investment company started in business with $2,000,000 of capital on January 1 and, because of smart management, gained an average of $157 every day for a year, what would be its financial situation on the last day of the year?
$2,057,305
$2,057,325
$2,057,310
$2,057,295 1
A machine shop has eleven lathes each weighing 2390 pounds, four milling machines each weighing 2430 pounds, and seven drill presses each weighing 387 pounds. What is the total weight of these machines? 127)
_____ A)
38,698 pounds
38,763 pounds
38,719 pounds
pounds
The Passive House Standard is a strict building code used as a state guideline for building energy-efficient homes. The total primary energy consumption of a building following this code must not be more than 19,020 Btu per square foot per year. What would this annual maximum be for a 4500-square-foot house?
85,530,000 Btu per year
85,590,000 Btu per year
85,570,000 Btu per year
85,540,000 Btu per year
A) 1,334 R 1
R 1
R 7
R 5
R 4
1,800,000
7,985 R 58
7,995 R 58 Solve. 1 For the following whole number, list all its factors. 16 = 148)
2, 4, 16
1, 2, 4, 8
For the following whole number, list all its factors.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48 C)
2, 3, 6, 8, 12
1, 3, 4, 8, 12, 24, 48
For the following whole number, write the number as a product of its prime factors.
For the following whole number, write the number as a product of its prime factors.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1
A mason is building a drystack stone wall that is 3 feet high. If each stone is 4 inches high, how many rows of stone will the wall contain? (1 foot = 12 inches)
A painter can paint a wall at a rate of 160 sq ft. per hour. How many hours will he take to paint 2240 sq ft. of walls? 153)
The Hopkins family traveled by car 1168 miles in 19 hours. Assuming they stopped 3 hours for refueling and meals, what was their average rate of speed? 154)
A plastic extruder can produce 3843 ft of plastic pipe in an 8 hour shift. If the plastic is cut into 7 ft long pipes, how many pipes are produced each shift?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve problems using a calculator.
If a concrete garden wall block is on sale at $54 per ten, calculate the cost of the 1500 blocks needed on a construction project.
156) _____ A) $7900
A train of 38 subway cars weighed a total of 389,766 lb. What was the average weight per car?
lb
lb
lb
lb
A high-speed stamping machine can produce medium flat parts at the rate of 76 per minute. If an order calls for 342,000 parts to be stamped, how many hours will it take to complete the job? (60 minutes = 1 hour).
A caterer must estimate the amount and cost of olives required for a wedding reception involving 175 guests. He estimates that he will need about 4 olives per person for flat breads, and 2 olives per person for cocktails. A supplier sells olives in jars containing 50 olives each for $3.00 per jar. How many jars will he need, and how much should he expect to pay for the olives?
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1 A mirror that is 5 ft wide is to be centered on a wall that is 17 ft long. Write the equation that shows how far from each end of the wall the mirror’s ends should be placed. Calculate.
An office pays its 5 clerical workers $220 per week, 2 secretaries $290 per week, and the office manager $360 per week. Write a mathematical statement showing the total salaries pair, then calculate this total.
CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve problems using a calculator.
88)
89)
B 90)
126 sq ft 91)
771 lb 92)
$5373 93)
$4162 94)
Four drums which contain a total of 46 liters more than the five drums. 95) $180 96) 11 ft 97)
167 sq ft 98)
99)
100)
3640 watts 118) $1596 119)
336 feet 120)
340 miles 121)
238 books 122)
196 hinges 123)
4080 sheets 124)
675 miles 125) $37,700 per year 126)
pieces of pipe
181)
182) (17 ft - 5 ft) ÷ 2 = 6 ft 183) (5 x $220) + (2 x $290) + $360 = $2040 184)