MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use divisibility rules to determine whether the given number is divisible by 2, 3, 5, or any combination of these. 1) 26,400
2
2) 4,620
2, 3, 5
2, 5
2, 3, 5
5
5
3, 5
Use the tests for divisibility to answer the question. 6) Is 63 divisible by 7?
Yes
7) Is 53 divisible by 7?
Yes
8) Is 180 divisible by 5?
Yes
9) Is 377 divisible by 13?
Yes
10) Is 109 divisible by 4?
Yes
2, 3
No
No
No
No
No
Provide an appropriate response. 11) By examining the last digit of 3,455 only, which number is it divisible by?
9 B) 6
12) 6, 9, and 18 are all multiples of which number?
2
4
6
13) By only examining the last two digits of 6,380, which number is it divisible by?
2
4
8
5
3
9
14) Which rule guarantees 927 is divisible by 3?
A) The sum of the digits is divisible by 3.
B) The last two digits are even.
C) The last digit is even and 24 is divisible by 6.
D) The last digit is even and the sum of the digits is divisible by 3.
15) Which basic arithmetic operation is implied when you use the word "factor"?
A) Subtraction B) Multiplication C) Division D) Addition
16) Which rule guarantees 4,150 is divisible by 5?
A) The last digit is a zero.
B) The last three digits form a number divisible by 5.
C) There are two consecutive digits that are divisible by 8.
D) At least two of the digits are even.
17) 140 is divisible by which two numbers? A) 5 and 3 B) 2 and 9
18) Identify the list that is a list of multiples of 25.
10 and 8
A) 25, 75, 125, 155, 175 B) 25, 50, 75, 140, 175 C) 25, 50, 75, 100, 125
19) 3, 6, and 9 are multiples of which number?
6
List all the factors of each number.
25, 50, 100, 270, 400
2 and 7
Provide an appropriate response.
28) Which of the following numbers is a composite number?
61 B) 34
29) Which is a list of the factors of 21?
A) 3, 6, 9, 12, 15, 18
53 D) 47
B) 2, 4, 6, 8, 10, 12, 14, 16, 18
C) 1, 3, 7, 21 D) 1, 2, 3, 6, 9, 18
30) 1 and 30, 2 and 15, 3 and 10, and 5 and 6 are all factor pairs of which number? A) 3 B) 131,056 C) 60 D) 30
31) Which of the following is not a factor of 348? A) 4 B) 8 C) 2 D) 34
32) Which list contains all the factor pairs of 36?
A) 1(36), 2 (18), 3(12) , 4(9), 6(6)
B) 1(36), 6(6) C) 1(36), 2(18), 4(9) D) 1(36), 2 (18), 3(12) , 6(6)
33) 15 is not a prime number because
A) its factor pairs are 1 × 15, 3 × 5.
B) its factor pairs are 3 × 5.
C) 15 is not divisible by any number except 1 and itself.
D) it has 1 as a factor.
34) Which of the following is a prime number?
55 B) 42
39
35) List the factor pairs of 36 and write all the factors in order from smallest to largest.
A) 1 × 36, 3 × 12, 6 × 6
B) 1 × 36, 6 × 6; 1, 6, 36
C) 1 × 36; 1, 2, 3, 4, 6, 9, 12, 18, 36
D) 1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6; 1, 2, 3, 4, 6, 9, 12, 18, 36
Identify the number as prime or composite. 36) 30
Composite
37) 19
38) 16
39) 181
40) 161
Composite
Prime
Prime
Prime
Prime
Prime
Composite
Composite
Composite
29
Find the prime factorization of the number. 41) 6
42) 65
43) 175
44) 30
126
108
48) 112
Provide an appropriate response.
49) Find the prime factorization of 72.
50) Which list contains both even numbers and odd numbers? A) 2, 4, 6, 8, 10 B) 4, 10, 12, 20, 28
51) Determine the composite number represented by 22(33)(5).
180
52) Which number is neither prime nor composite?
53) Find the prime factorization of 1,260.
54) Write the prime factors of 360 in exponential notation.
55) Write the prime factorization of 1,800 using exponential notation.
2 2 2 3 3 5 5 B) 18 100
56) Write the prime factorization of 120, using exponential notation. A) 2 (2)(2)(3)(5) B) 23 (3)(5)
23 (2)(2)(5)
57) Write the prime factorization of 1,800, using exponential notation. A) 2 (2)(2)(3)(3)(5)(5)
24 (3)(5)
23 (32)(52) C) 2 (32)(102)
Find the least common multiple. 58) 2, 8
8
59) 4, 13
26
60) 10, 15
15
61) 24, 32
56
62) 20, 44
63) 20, 50
64) 10, 80
18, 13
66) 30, 121 A) 18,150
67) 2, 5, 11 A) 10
68) 6, 12, 18 A) 216
4
4
25
96
Find the greatest common factor of the numbers. 69) 84 and 42
6
70) 960 and 27,000
22 (33)(52)
30
150
71) 208 and 63 A) 91
72) 72 and 16 A) 4
104
8
6
88
1
9
73) 38 and 95 A) 19 B) 190 C) 18 D) 10
74) 54 and 90 A) 18 B) 9
Provide an appropriate response.
75) Which is the least common multiple of 6 and 9? A) 18 B) 54
76) Which is the least common multiple of 4 and 15? A) 30 B) 15
77) Find the greatest common factor of 6 and 15. A) 15 B) 1
78) Find the greatest common factor of 20 and 28. A) 140 B) 2
6
2
6
60
3
1
9
4
90
4
79) Find the least common multiple of 12, 24, and 30. A) 6 B) 12 C) 24 D) 120
80) Find the greatest common factor of 6, 9, and 10. A) 6 B) 3
81) Which is the least common multiple of 4 and 12? A) 2 B) 12
1
48
90
4
82) Find the greatest common factor of 42, 84, and 210. A) 14 B) 7 C) 21 D) 42
83) Which is the least common multiple of 2, 7, and 14? A) 7 B) 196 C) 14 D) none of the above
84) Which is the least common multiple of 12, 18, and 30? A) 6 B) 1,620 C) 6,480
85) Find the greatest common factor of 14, 21, and 35. A) 210 B) 10,290
7
180
2
86) Find the greatest common factor of 26 and 52. A) 676 B) 13 C) 26 D) 1
Find the equivalent fractions with the indicated denominator.
12 6 = ? 12
3 5 = ? 20
1 16 = ? 64
Reduce the fractions to lowest terms.
8 14
Use the property of proportions to determine whether the pair of fractions is equivalent.
96) 4 16 and 8 32
A) not equivalent
97) 2 6 and 20 60
B) equivalent
A) equivalent B) not equivalent
98) 5 8 and 22 25
A) equivalent
99) 48 54 and 40 45
A) not equivalent
Provide an appropriate response.
B) not equivalent
B) equivalent
100) Which of the following list of fractions is equivalent to 7 10 ?
101) Which of the following fractions is equivalent to 3 4 ?
102) Find the equivalent fraction having the denominator indicated in 4 9 = ? 27 .
103) Reduce 16 20 to lowest terms.
104) If each inch of an English rule is divided into 64 units, what part of an inch would be measured by 3 of the units?
3
105) Reduce 24 36 to lowest terms.
106) Simplify 48 96 .
2 3
1 4 E) none of the above
107) Write 11 ÷ 25 in fraction form.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
108) Use a U.S. customary ruler to measure the line below to the nearest eighth of an inch: 108)
109) Use a U.S. customary ruler to measure the line below to the nearest fourth of an inch: 109)
110) Use a U.S. customary ruler to measure the line below to the nearest sixteenth of an inch: 110)
111) Use a U.S. customary ruler to measure the line below to the nearest half inch: 111)
112) Use a U.S. customary ruler to measure the line below to the nearest sixteenth of an inch: 112)
113) Use a U.S. customary ruler to measure the line below to the nearest fourth of an inch: 113)
114) Use a U.S. customary ruler to measure the line below to the nearest sixteenth of an inch: 114)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
115) Write a fraction to represent the shaded portion of a given figure.
116) Write
122) Which fraction is equivalent to 4 7 and has a denominator of 28?
123) If each inch on a U.S. customary rule is divided into 32 parts, what part of an inch would be indicated by the 5th hash mark in a inch? (Illustrate with a drawing.)
124) If one inch on a U.S. customary rule is divided into 16 parts, what is the length of each part of the inch?
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
125) Describe how you can tell if a fraction has been reduced to lowest terms.
126) What is the process used to reduce a fraction?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write the improper fractions as whole or mixed numbers.
11 3
Provide an appropriate response.
139) Write 37 14 as a mixed number.
2 1 7
2 9 14
1 23 14
9 2 14
E) none of the above
140) Which of 5 12 , 2, 4 2 3 , 11 4 is an improper fraction?
4 2 3
141) Write 90 35 as a mixed number.
none of the above
142) Convert 69 16 to a mixed or whole number.
143) Write 42 5 as a whole or mixed number.
144) Write 13 7 as a whole or mixed number.
145) A denominator of a fraction is 36 and the numerator is 15. Which of the following best describes the fraction?
A) The item represented by the fraction is divided into 36 equal parts.
B) When written as a fraction the fraction is in lowest terms.
C) The fraction is best described as an improper fraction.
D) The fraction can be written as 36 15
146) Write 15 3 as a whole or mixed number in lowest terms.
147) Write 54 12 as a whole or mixed number in lowest terms.
148) Write 35 10 as a whole or mixed number in lowest terms.
3 5 10
Write the mixed number as an improper fraction.
7 3 5
153) 2 3 8
7 3 7
155) 22 2 3
Provide an appropriate response.
156) Change 5 2 3 to an improper fraction.
159) Change 281 3 to an improper fraction.
Change the decimals to their fraction or mixed-number equivalents, and reduce answers to lowest terms.
0.64
Change the decimals to their fraction or mixed-number equivalents, and reduce answers to lowest terms.
0.5
173) 15 8
Change to decimal numbers. 174) 6 8
175) 3 4
47 100
177) 15 16
178) 7 20
179) 9 25
180) 7 40
181) 28 125
Provide an appropriate response.
Change 2.5 to its fractional equivalent and reduce to lowest terms.
184) The length of a screw is 2.625 in. Represent this length as a mixed number.
185) Change 9 10 to a decimal.
186) Change 7 9 to a repeating decimal.
187) Change 0.024 to its fraction equivalent and reduce to lowest terms.
188) The length of a screw is 4.275 in. Represent this length as a mixed number.
3 7 8
3 3 4
189) Which fraction represents a measure of 0.3475 ft.?
3 5 8
190) Change 1 7 8 to a decimal.
191) Write 7 12 as a decimal to the hundredths place with remainder expressed as a fraction.
192) A plan needs a gap of 5 8 in. What should the gap be in decimal notation?
Find the least common denominator.
11 5 and 4 45
7 15 and 3 27
7 56 and 2 48
7 20 , 1 6 , and 13 30
Place the correct symbol, >, <, or =, in the blank in the given pair of fractions.
7 12 6 12
Insert <, >, or = between the pair of numbers to form a true statement.
206) 4 1 3 4.332
Provide an appropriate response.
Which fraction is smallest?
208) A quality control inspector used calipers to measure the diameters of four rods and found them to be 0.256 mm, 0.264 mm, 0.253 mm, and 0.249 mm. Which measure is largest? A) 0.256 mm B) 0.249 mm
0.253 mm
Which is the common denominator for 3 7 and 5 8 ?
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
210) Arrange these fractions in order beginning with the smallest: 3
211) If hot dogs come in packages of ten and buns come in packages of eight, what is the minimum number of packages of hot dogs and buns that need to be purchased so that there is an equal number of hot dogs and buns?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
212) Which is the common denominator for 3 5 and 7 15 ?
213) Arrange 4 9 , 1 3 , 5 11 in order, beginning with the smallest.
216) Which of the following expressions has the greatest value?
0.87
4 5
217) Which is the common denominator for 1 2 , 5 18 , and 7 8 ?
100
36
218) Which is the common denominator for 7 8 , 5 12 , and 5 6 ?
16
219) Which pair of fractions has the common denominator 48?
3 14 and 5 12
7
and 5 6
5 8 and 1 5
220) A wrench is marked 11 16 at one end and 15 32 at the other end. Which end is larger?
11 16
221) Which decimal is larger, 4.35 or 4.336?
4.336
2
1 6 and 7 16
15 32
4.35
222) A nurse measures and records temperatures of 96.9, 98.5, 95.7, and 97.9. Which temperature is highest?
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
223) Which board is longer? One that is seventy-two and four fifths inches or one that is seventy-two and seven eighths inches? Explain how you know.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Perform the indicated operations. Reduce answers to lowest terms and write any improper fractions as whole or mixed numbers.
2 11 + 6 11
235) 4 2 3 + 3 8 15
3 5 6 + 1 7 9
5 11 18
1 2 + 1 2 3
238) Lorrie gave 1 3 of her candy to Jackie and 1 5 to Paul. What fraction of her candy did she give away?
A) of her candy 2 5 B) of her candy 4 15 C) 8 15 of her candy D) of her candy 1 15
239) A snack mix consists of 1 4 cup peanuts, 1 16 cup almonds, and 1 8 cup cashews. How many cups of nuts are in the mix? A) 3 16 cups B) 7 8 cups C) 1 cups D) 7 16 cups
240) Laura's chocolate store is famous for its "Chocnut", a unique mix of chocolate and nuts. A Supreme box of Chocnut has 2 1 5 pounds of chocolate and 5 3 5 pounds of nuts. A Deluxe box has 4 3 8 pounds of chocolate and 3 2 5 pounds of nuts. John bought 2 Supreme boxes and 2 Deluxe boxes of Chocnut. What is the total weight of his purchase?
31 3 20 lb B) 35 3 20 lb
21 3 20 lb
17 3 20 lb
Provide an appropriate response.
241)
none of the above
242) What length of bolt is needed to fasten two pieces of metal each 3 4 in. thick if a 3 16 in. lock washer is used and a 1 8 in. nut is used?
243) The studs of an outside wall are 5 1 2 in. thick. The inside wallboard is 5 8 in. thick and the outside covering is 2 15 16 in. thick. What is the total thickness of the wall?
244) Perform the indicated operation, leaving the answer in lowest
246) Perform the indicated operation, leaving the answer in lowest terms: 2 3 4 + 1 1
247) Add: 2 11 14 + 9 35
20 49
3 3 70
2 7
1 3 10 E) none of the above
248) Add 7 8 + 5 8 and reduce answers to lowest terms with improper fractions changed to whole or mixed numbers.
249) Add 7 16 + 3 4 and reduce answers to lowest terms with improper fractions changed to whole or mixed numbers.
1 3 16
250) Add 2 7 8 + 1 1 4 and reduce answers to lowest terms with improper fractions changed to whole or mixed numbers.
251) Joe added the following quarts of
252) Add 6 5 8 + 6 3 5 and reduce answers to lowest terms with improper fractions changed to whole or mixed numbers.
253) A plumber uses a 3 4 inch diameter copper tube wrapped with 11 32 inch insulation. What size hole must be bored for the insulated pipe to pass through?
1 15 32
1 3 32 D) 1 5 16
E) none of the above
254) Perform the indicated operation, leaving the answer in lowest terms: 5 8 + 11 16 =
255) Perform the indicated operation, leaving the answer in lowest terms: 7
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
256) A plumber uses a 3 8 inch pipe with 9 32 inch insulation. What size hole must be bored for the insulated pipe to pass through?
257) Find the mistake in the following problem: 3
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
258) Add 11 12 + 7 8 and reduce answers to lowest terms with improper fractions changed to whole or mixed numbers.
1 19 24
259) Add 10 + 4 4 5 and reduce answers to lowest terms with improper fractions changed to whole or mixed numbers.
14 4 5 B) 18 4 5
260) A blueprint calls for a piece of bar stock 7 5 8 in. long. If a tolerance of ± 1 16 in. is allowed, what is the longest permissible measurement for the bar stock?
7 9 16
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
261) Why is a least common denominator so important in adding fractions?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Perform the indicated operations. Reduce answers to lowest terms and write any improper fractions as whole or mixed numbers.
21 193 19
268) 47 1 16 - 16 1 12
19 1 710 35
18 6 7
1 61 11
5 6
19 6 7
274) From a 7 8 -lb package of ground beef, a 1 3 -lb hamburger was made. How much ground beef is left in the package?
275) On average, 3 4 of a teenager's day is spent at school or sleeping. If1 3 is spent sleeping, what fraction is spent in school?
276) From a 11 10 -lb wheel of cheese, a 3 5 -lb piece was served. How much cheese remained on the wheel? A) 8 5 lb B) 1 2 lb C) 3 5 lb D) 4 5 lb
277) In a mathematics course, 7 8 of a student's grade is from exams and quizzes. If 1 3 of the grade is from quizzes, what fraction is from exams?
A) 1 4 from exams B) 13 24 from exams C) 1 2 from exams D) 5 6 from exams
278) In a recent survey, 11 20 of those surveyed said pizza is their favorite food, while 1 10 said pasta was their favorite. What fraction selected a food other than these two as their favorite food?
A) 2 5 chose other B) 9 20 chose other C) 7 20 chose other D) 1 2 chose other
279) Last week, Samantha ran 11 miles. This week, she ran 9 2 3 miles. How much more did she run last week?
280) Jerry caught a fish that weighed 14 4 7 pounds. Pat caught a fish that weighed 6 6 7 pounds. How much more did Jerry's fish weigh than Pat's fish?
7 5 7 pounds B) 7 4 7 pounds C) 19 5 7 pounds D) 205 7 pounds
Provide an appropriate response.
281) Subtract: 5 127 30 A) 11 30 B) 7 60 C) 7 30 D) 11 60
E) none of the above
282) Ted has a wall anchor that measures 1 5 16 inches. The screw he wishes to use is 1 1 4 inches. By how much is the anchor longer or shorter than the screw?
1 8 in. B) 1 4 in.
1 16 in.
1 in.
283) A fence board is 96 inches long. 2 3 4 inches is cut off. The saw blade takes off an additional 1 8 inches. How
is the finished board?
284) Subtract: 9 3 8 - 3 7 12
5 19 24
5 23 24 C) 6 5 12
5 7 12 E) none of the above
285) Perform the indicated operation, leaving the answer in lowest terms: 6 1 6 - 2 5 12 =
286)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
287) Six rods 3 1 16 inches long were cut from a piece of iron rod 41 inches long. Allow 1 8 inch waste for each cut. What was the length of the piece left?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
288) Subtract: 5 127 18 A) 1 36 B) 7 18 C) 7 36 D) 13 24 E) none of the above
289) Mary cut 4 3 4 sq. yd. of cloth from 5 1 2 sq. yd. of cloth. How many sq. yd. of cloth remain?
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
290) How long of a bolt is needed to fasten two pieces of metal each 11 16 inches thick if a 7 64 inch thick nut is used? The nut must be flush with the bolt after tightening.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
291) Subtract and reduce when
Subtract and
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
295) A machine part is fabricated to be 35 8 inch long with a tolerance of ± 1 32 inch. What is the smallest and largest the part can be?
296) A machine part is fabricated to be 81 4 inch long with a tolerance of ± 1 32 inch. What is the smallest and largest the part can be?
297) Find the mistake in the following problem:
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
298) Perform the indicated operation in the expression 2 3 4 - 1 1 5 =
304) A concrete foundation includes 101 3 inches fill. If the foundation is to be 32 inches thick, how thick must the concrete layer be?
21 2 3 in.
Multiply and reduce answers to lowest terms. Write improper fractions as whole or mixed numbers.
313) 2 1 4 4
4 7 11 20
28 11 20
315) 3 3 7 2 1 3
7
4
6
316) There are 65 students in Jose's class. 2 5 of the students are science majors. How many students are science majors?
24
130
39
26
317) Tyler and his sister arranged a party for their father's birthday. The total cost of the party was $480. Tyler paid 1 4 of the total cost and his sister paid the remainder. How much did Tyler pay?
$130
$140
$120
$135
318) When Maria finished medical school she owed $51,000 in student loans. She repaid 2 3 of the total amount within two years of graduating. How much did she repay within two years of graduating?
319) A storehouse stores 515 different inventory items. 4 5 of these items are perishable. How many of the inventory items are perishable?
320) A restaurant has a capacity of 153 patrons. If the restaurant is 4 9 full, how many patrons are at the restaurant?
Provide an appropriate response.
321) Multiply: 5 9 × 3 10 × 3 4
A) 3 4
B) 5 8
C) 11 12
D) 1 8
E) none of the above
322) Perform the indicated operation, leaving the answer in lowest terms: 2 3 4 × 1 1 5 =
323) If you multiply a proper fraction by a proper fraction, the result is a number that is A) larger than either of the factors. B) smaller than either of the factors. C) smaller than the larger factor only. D) equal in size to the largest factor. 323)
324) Multiply: 8 9 × 3 4 × 3 10 A) 3 8 B) 3 10 C) 1 5
D) 10 27
E) none of the above 324)
325) Perform the
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
334) Standard typing paper is 81 2 inches wide by 11 inches long. If the margin all around the edge of the paper is a uniform one inch, what is the area of the paper that can be printed on? (Note: Area = Length × Width) 334)
335) A plumber needs 6 pieces of pipe each 16 5 8 inches long. If 1 8 inch waste is allowed for each cut, what length pipe must the plumber have?
336) A metal bar is cut into six pieces each 3 3 8 inches long. Each cut wastes 1 16 inch. Determine the length of the original bar.
335)
336)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
337) The staircase in a house has 15 risers, each one 7 5 8 inches high. What is the total rise of the steps?
338)
339) A fuel tank that holds 90 liters (L) of fuel is 2 3 full. How many liters of fuel are in the tank? A) 60 L B) 90 2 3 L C) 135 L D) none of the above
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
340) An alloy weighing 42 pounds is 2 5 copper, 1 5 silver, and 2 5 other material. How many pounds of silver are in the alloy? Explain the process you used to find the answer.
341) A mixture of dirt, sand, etc. that weighs 350 pounds is 3 parts dirt, 1 part sand, 2 parts top soil, and 2 parts peat. How many pounds of dirt are in the mixture? Explain the process you used to find the answer.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Raise the fraction to the indicated power.
1 8 2
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 353)
4
362) 1 15
and reduce to lowest terms.
370) 30 ÷ 1 1 4
371) 5 5 8 ÷ 9
6 8
Provide an appropriate response.
372) Divide: 8 7 ÷ 10 6 A) 15 24 B) 5 12 C) 5 6 D) 24 35 E) none of the above
376) If you divide a large fraction by another smaller fraction, the result is a number that is: A) equal to only one of the fractions. B) halfway between the two fractions. C) larger than either of the fractions. D) smaller than either of the fractions.
377) You have a board that is 42 inches wide and would like to position 6 smaller boards each 5 inches wide across the big board so that there is no "margin" on either side, but they are equally spaced across the board. How much space should be allowed between each of the small boards?
2 2 5 inches
378) What is the reciprocal of 4.3?
10 43 B) 4 3
34 10
379) Perform the indicated operation, leaving the answer in lowest terms: 2 3 ÷ 1 7 =
4 2 3
11 21
2 21
3 4
17 21
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
380) Perform the indicated operations and reduce:
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
381) Divide: 2 7 10 ÷ 3 2 5 A) 37 50 B) 13 15 C) 27 34 D) 15 17
E) none of the above 381)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
382) Perform the indicated operations and reduce:
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
383) Divide: 8 9 ÷ 4 3
1 3
2 3 C) 2 5 D) 5 8 E) none of the above
384) Which description best describes 5 12 7 11 ?
A) Complex fraction
B) Mixed-decimal fraction C) Decimal fraction D) Proper fraction
385) Give the reciprocal of 7 9
386) Give the reciprocal of 9.
1 9
387) Divide and reduce answers to lowest terms, converting improper fractions to whole or mixed numbers: 6 7 ÷ 10 21
20 49
388) Divide and reduce answer to lowest terms converting improper fractions to whole or mixed numbers: 6 ÷ 3 1 3
389) Divide and reduce answer to lowest terms. Convert improper fractions to whole or mixed numbers:
390) Divide and reduce answer to lowest terms. Convert improper fractions to whole or mixed numbers:
391) Divide and reduce answer to lowest terms. Convert improper fraction to whole or mixed number: 3
392) Divide and reduce answer to lowest terms. Convert
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
393) Five boards 3 3 4 inches long are cut from a piece of board that is 41 inches long. Allow 1 8 inch waste for each cut. What was the length of the piece left?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
394) Each shelf in a floor-to-ceiling bookshelf needs a strip of molding 32 3 16 inches cut from a length of molding measuring 225 5 16 inches long. If the length of the shelf includes the saw cut, how many shelves are in this bookshelf?
6
395) An I-beam measures 14 ft long. How many whole 2 1 16 ft pieces can be cut from this length?
6
396) Give the reciprocal of 5 3 5 .
7
8
5
397) Give the reciprocal of 1 8 .
8 B) -1 8
398) Give the reciprocal of 5 3 4 .
4 23 B) 23 4
-8 D) 1
23 -4
-4 23
399) Divide and reduce answer to lowest terms, converting improper fractions to whole or mixed numbers: 1 6 ÷ 1 2
3
1 12
1 3
12
400) Three-fourths of a mile is divided into 3 8 mile segments. How many sections are in the 3 4 mile?
6 segments B) 2 segments C) 1 2 segment D) 3 5 9 segments
401) How many 2 1 4 foot lengths can be cut from a board 18 feet long?
9 B) 1 9
8
1 8
402) How many pieces of fabric that are each 1 2 3 yards can be cut from a bolt that has 10 yards of fabric?
5 pieces B) 16 2 3 pieces
4 pieces
6 pieces
403) A stack of books measures 221 2 inches high and each book is 5 8 inch thick. How many books are in the stack?
14 books B) 36 books
22 books D) 13 books
404) Use a calculator to divide and reduce answers to lowest terms, converting improper fractions to whole or mixed numbers: 12 1 2 100
1 8
3 40
Perform the indicated operations using a calculator.
0.58 ÷ 442
1 2
3 25
407) 0.7531 × 0.74126 2.132
Provide an appropriate response.
408) Use a calculator to perform the calculations:
409) Use a calculator to perform the calculations:
410) Perform the indicated operation, leaving the answer in lowest terms: 4 5 -
411) Three books measuring 1 1 2 , 11 15 , and 5 6 are placed into one stack and shrink wrapped. Use a calculator to find the total thickness of the packaged stack.
412) Use a calculator to add 6 3 4 + 2 1 3 + 7 12 . Write answer in lowest terms with improper fractions changed to whole or mixed numbers.
8 11 12
413)
415)
417)
Answer Key
Testname: UNTITLED19
1) C 2) A
3) B
4) A
5) D
6) A
7) B
8) A
9) A
10) B
11) D
12) D
13) B
14) A 15) B
16) A
17) D
18) C
19) D
20) D
21) B
22) D
23) A
24) B
25) C
26) A
27) C
28) B
29) C
30) D
31) D
32) A
33) A
34) D
35) D
36) A
37) B
38) B
39) A
40) B
41) A
42) B
43) B
44) A
45) C
46) A
47) A
48) D
49) B
50) D
Answer Key
Testname: UNTITLED19
51) B
52) D
53) D
54) B
55) D
56) B
57) B
58) A
59) C
60) C
61) B
62) B
63) B
64) C 65) C
66) D
67) B
68) B 69) C
70) C
71) D
72) B
73) A
74) A
75) A
76) C
77) C
78) D
79) D
80) C
81) B
82) D 83) C
84) D
85) C
86) C
87) B
88) D
89) C
90) D
91) C
92) C
93) A 94) D
95) D
96) B
97) A 98) B 99) B
100) A
Answer Key Testname: UNTITLED19
101) D
102) D
103) A
104) A
105) A
106) E
107) B
108) 2 in.
109) 1 1 4 in.
110) 3 5 16 in.
111) 1 2 in.
112) 1 3 16 in.
113) 3 3 4 in.
114) 1 7 16 in.
115) A
116) A
117) A
118) D
119) B
120) D 121) D
122) B
123) D
124) A
125) Answers will vary.
126) Answers will vary.
127) C
128) B
129) D
130) A 131) C 132) A
133) A 134) A 135) B 136) D 137) D
138) D 139) B
140) B 141) D
142) C
Answer Key
Testname: UNTITLED19
143) D
144) C
145) A
146) A
147) D
148) D
149) D
150) D
151) C
152) D
153) C
154) B
155) C
156) C
157) C
158) D
159) B
160) D
161) C
162) D
163) C
164) B
165) A
166) B
167) B
168) D
169) A
170) C
171) B
172) D
173) B
174) B
175) D
176) B
177) A
178) B
179) A
180) D
181) A
182) A
183) A
184) B
185) C
186) C
187) C
188) D
189) A
190) B
191) D
192) B
Answer Key
Testname: UNTITLED19
193) D
194) B
195) D
196) C
197) A
198) B
199) C
200) B
201) C
202) B
203) B
204) B
205) C
206) C
207) C
208) D
209) B
210) 3 8 , 5 12, 3 4 , 6 7
211) 4 pkgs hotdogs, 5 pkgs buns
212) B
213) A
214) A
215) A
216) C
217) C
218) C
219) D
220) A
221) B
222) A
223) Answers will vary.
224) A
225) B
226) A
227) D
228) B
229) C
230) D
231) B
232) A
233) C
234) B
235) B
236) A
237) D
238) C
239) D
240) A
241) A
Answer Key
Testname: UNTITLED19
242) B
243) A
244) D
245) C
246) D
247) B
248) B
249) A
250) D
251) C
252) A
253) A
254) D
255) A
256) 15 16 in.
257) To add, you need a common denominator.
3 4 + 5 6 = 9 12 + 10 12 = 19 12 or 1 7 12
258) A
259) A
260) B
261) Answers will vary.
262) B
263) D
264) C
265) A
266) C
267) B
268) C
269) A
270) C
271) A
272) B
273) C
274) D
275) C
276) B
277) B
278) C
279) D
280) A
281) D
282) C
283) B
284) A
285) B
286) C
Answer
C
C
C
D
100 3 8 in.
20 9 16 in.
C
B
A
Answers will vary.
Answers will vary.
D
B
D
A
C
4 9
B
C
B
Answer Key
Testname: UNTITLED19
369) D
370) C
371) D
372) D
373) D
374) A
375) B
376) C
377) A
378) A
379) A
380) 23 55
381) C
382) 1
383) B
384) A
385) B
386) C
387) D
388) C
389) C
390) C
391) D
392) D
393) 21 5 8 in. left
394) B
395) A
396) C
397) A
398) A
399) C 400) B 401) C 402) D 403) B 404) A
C 406) A
C 408) B
C
A
B
B 413) A
B 415) C