In total, what is thesmallest number of bonds and growth stocks combined that this fund could have?. 126 127 In a three-point shooting contest, a basketball player attempted 20 shots and
Trang 1MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Find all the factors of the number.
5)
6) 63
A) 1, 3, 5, 7, 9, 11, 21, 63 B) 1, 2, 3, 7, 9, 21, 36, 63C) 3, 5, 7, 9, 11, 21, 63 D) 1, 3, 7, 9, 21, 63
6)
7) 66
A) 1, 2, 3, 9, 11, 22, 33, 66 B) 1, 2, 3, 6, 11, 22, 33, 66C) 1, 2, 3, 4, 11, 16, 22, 33, 66 D) 1, 3, 11, 22, 33, 66
7)
8) 70
A) 1, 2, 5, 7, 10, 14, 35, 70 B) 1, 3, 5, 7, 9, 15, 20, 35, 70C) 1, 2, 3, 5, 7, 9, 15, 35, 70 D) 1, 2, 5, 7, 35, 70
8)
9) 72
A) 1, 2, 3, 4, 6, 8, 9, 12, 24, 36, 72 B) 1, 2, 3, 4, 6, 9, 12, 14, 18, 24, 36, 72C) 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 24, 36, 72 D) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
9)
10) 84
A) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 B) 1, 2, 3, 4, 6, 7, 12, 14, 21, 42, 84C) 1, 2, 3, 4, 7, 14, 21, 28, 42, 84 D) 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 14, 21, 28, 42, 84
Trang 3Solve the problem.
38) The government holds a presidential election in every year that is a multiple of 4 Was there an
election in 1920? Explain
A) Yes, there was an election in 1920, because 1920 is a multiple of 4
B) No, there was not an election in 1920, because 1920 is not a multiple of 4
38)
39) The government holds a presidential election in every year that is a multiple of 4 Was there an
election in 1937? Explain
A) Yes, there was an election in 1937, because 1937 is a multiple of 4
B) No, there was not an election in 1937, because 1937 is not a multiple of 4
39)
40) What are the dimensions of the smallest square that you can make using 21-in by 28-in
rectangular tiles?
40)
Trang 441) A choreographer of a musical wants to hire enough dancers so that he can arrange them in groups
of exactly 3, 4, and 6 with no dancers left out What is the least number of dancers he can hire?
41)
42) The manager at a local pizza place wants to cut and package pepperoni slices Each medium
pizza has 5 slices of pepperoni and each large pizza takes 8 slices of pepperoni What is thesmallest number of slices in each package so there will be none left when making any combination
of large or medium pizzas
42)
43) A mutual fund is made up of growth stocks and bonds, and the manager has determined that for
every 9 growth stocks it has in this fund that it must also have 4 bonds In total, what is thesmallest number of bonds and growth stocks combined that this fund could have?
43)
44) A record producer decided to have a special promotion at a local concert Every sixth person
through the gate was to receive a free compact disc If you were person number 600 through thegate, would you get a free CD? Explain
A) No, because 600 is not a multiple of six B) Yes, because 600 is a multiple of six
46)
Trang 550)
Trang 654)
Trang 7Draw a diagram to represent the number.
Trang 8C)
D)
58)
Trang 1176) 141
4A) 57
77)
78) 92
5A) 47
78)
79) 65
7A) 42
79)
80) 129
10A) 21
80)
81) 3 17
100A) 317
81)
82) 1412
19A) 278
168
82)
Trang 12Write the improper fraction as a mixed or whole number.
83) 35
3A) 112
83)
84) 25
4A) 61
84)
85) 11
5A) 31
85)
86) 11
6A) 15
86)
87) 41
8A) 51
89)
90) 188
5A) 5
90)
91) 1609
12A) 12
91)
Trang 1392) 2282
14A) 163
93)
94) 1
7 = 21
94)
95) 4
9 = 45
95)
96) 2
3 = 30
96)
97) 8
12 = 108
97)
98) 11
7 = 14
98)
99) 10
9 = 72A) 324
8
38
100)
101) 10
11 = 55
2
101)
Trang 14Simplify the fraction.
102) 90
10A) 18
9
19
102)
103) 12
14A) 6
103)
104) 39
52A) 39
104)
105) 100
160A) 20
105)
106) 132
209A) 132
108)
109) 4 41
123A) 41
Trang 15Between the pair of numbers, insert the appropriate sign: <, =, or >.
111) 4
7
37
Trang 16123) 5
7, 6, 9A) 5
Solve Write your answer in simplest form.
125) A baseball team has played 9 games so far this season The team won 7 games What fraction of
its games has the team won?
125)
126) A baseball team has played 8 games so far this season The team won 7 games What fraction of
its games has the team lost?
126)
127) In a three-point shooting contest, a basketball player attempted 20 shots and made 11 of them
What fraction of his shots did the player make?
127)
128) In a three-point shooting contest, a basketball player attempted 20 shots and made 15 of them
What fraction of his shots did the player miss?
130) At an advertising agency that employs 217 people, 76 employees receive 2 weeks of paid vacation
each year What fraction of the agency's employees receives 2 weeks of paid vacation?
130)
Trang 17131) You have three bolts that are 5
4 Which card has a higher probability of being drawn, a diamond or a facecard? Explain
A) A diamond, because 1
4 is greater than
12
52.B) A face card, because 12
64 points today Does the broker sell the stock? Explain.
134)
135) 15
86 + 1086A) 24
135)
136) 4
14 + 4
14 + 314A) 48
136)
137) 18
74 + 12
74 + 1574A) 30
137)
Trang 18138) 1
10 + 910
138)
139) 1
9 + 59A) 1
139)
140) 2
3 + 19A) 22
140)
141) 3
4 + 320A) 1
141)
142) 7
6 + 118A) 4
142)
143) 2
3 + 112A) 9
143)
144) 2
3 + 16A) 1
144)
145) 3
10 mi + 9
100 miA) 3
Trang 19147) 6
8 + 7
10 + 418A) 301
147)
148) 11
22 + 4
33 + 1644A) 65
148)
149) 1
2 + 9
8 + 14A) 15
15
118
149)
Add and simplify Write the answer as a mixed number as needed.
150) 67
9 + 129A) 21
5
59
151)
152) 55
9 + 459A) 101
152)
153) 43
8 + 558A) 105
3
37
154)
155) 71
4 + 723A) 711
155)
Trang 20156) 11
2 + 97
8 + 12A) 107
156)
157) 121
4 + 538A) 185
157)
158) 22
3 + 359A) 511
158)
159) 53
4 + 71720A) 1232
3
35
159)
160) 45
6 + 258A) 670
Trang 21165) 5
8 - 48A) 1
165)
166) 8
21 - 621A) 1
166)
167) 8
25 - 525A) 1
167)
168) 31
44 - 2144A) 1435
168)
169) 25
42 - 742A) 2
169)
170) 7
8 - 38A) 5
170)
171) 28
13 - 513A) 1
171)
172) 46
92 mi - 40
92 miA) 3
Trang 22Subtract and simplify.
174) 8
9 - 46A) 4
174)
175) 1
7 - 111A) 1
175)
176) 5
7 - 12A) 3
176)
177) 4
5 - 320A) 13
177)
178) 9
22 - 625A) 3
178)
179) 7
9 - 112A) 2
179)
180) 8
15 - 120A) 7
180)
181) 7
12 - 116A) 1
181)
Subtract and simplify Write the answer as a mixed number as needed.
182) 102
5 - 145A) 82
182)
Trang 23183) 202
5 - 45A) 203
183)
184) 154
9 - 989A) 55
184)
185) 88
7 sec - 44
7 secA) 44
187)
188) 15 - 2
9A) 157
189)
190) 20 - 2
7A) 195
5
57
190)
191) 61
2 - 5A) 11
12
191)
Trang 24192) 1115
16 - 4A) 7
3
1516
192)
193) 123
13 - 12A) 3
193)
194) 910
13 lb - 1 lbA) 810
17
1721
197)
198) 177
25 - 9720
198)
199) 382
3 - 251316
199)
200) 132
15 - 729A) 541
41
4345
200)
Trang 25201) 155
16 - 638A) 913
3
35
203)
204) 132
3 yd - 15
6 ydA) 125
206)
207) 9 4
13 - 2 1
13 + 2 113A) 9 2
207)
208) 101
3 - 51
8 + 415A) 9 3
208)
209) 91
5 + 75
6 - 6 320A) 101
209)
Trang 26210) 195
7 - 21
5 - 1 314A) 18 3
210)
211) 131
3 - 1
7 - 214A) 1137
211)
212) 191
8 - 11
4 - 12A) 183
212)
213) 2
5 - 1
16 + 35A) - 11
12
216) June wants to work for 111
2 hours at her part-time job this week She has already worked 23
4hours How many more hours does she need to work?
217) Peter must practice the piano 101
4 hours per week He has already practiced 2
Trang 27219) Brian was training to run a marathon During the three-day period before the race he decided that
he would train for a total of 12 hours If he trained for 24
5 hours on the first day and 2
3
10 hours onthe second day, how many hours would he need to train on the third day?
220) Amy decided to bake bread and a cake For the bread she needed 31
2 cups of flour For the cakeshe needed 12
3 cups of flour She had only 3
b = 558A) 21
221)
Trang 28222) Find the length of the section represented by x in the figure.
a = 234
b = 111112A) 1111
222)
Multiply Write the answer as an improper fraction as needed.
223) 3
4 ∙ 13A) 4
223)
224) 4
7 × 45A) 16
224)
225) 2
92
225)
226) 11
12 × 47A) 11
226)
227) 3
5 ∙ 615A) 6
227)
Trang 29228) 13
5
1514A) 195
228)
229) 42
30
56A) 210
232)
Multiply Write the answer as a mixed number as needed.
233) 21
6 ∙ 37A) 11
233)
234) 14
5 ∙ 49A) 44
234)
235) 1
9 ∙ 514A) 7
235)
236) 2
3 ∙ 214A) 1 5
236)
Trang 30237) 6
7 4
13A) 420
237)
238) 91
3 ∙ 314
114
238)
239) 74
5 × 56A) 61
239)
240) 3
20 2
59A) 3
240)
241) 51
9 ∙ 14A) 5
241)
242) 11
6 ∙ 38A) 7
244)
245) 22
5 × 313
245)
Trang 31246) 45
8 ∙ 512A) 25 7
5
38
246)
247) 3 × 5 7
15A) 152
248)
249) 3 × 34
7 × 35A) 63
249)
250) 11
33
251)
Divide Write the answer as a mixed number as needed.
252) 1
4 ÷ 23A) 1
252)
253) 8
17 ÷ 415A) 32
253)
254) 1
17 ÷ 311A) 11
254)
Trang 32255) 1
3 ÷ 78A) 7
255)
256) 2
9 ÷ 72A) 12
256)
257) 2
3 ÷ 19A) 1
258)
259) 3
4 ÷ 7A) 4
259)
260) 4
5 ÷ 9A) 4
261)
262) 5 ÷ 1
3A) 12
3
115
263)
Trang 33264) 4 ÷ 3
8A) 1
264)
265) 41
8 ÷ 38
267)
268) 91
2 ÷ 5A) 1 9
268)
269) 2
3 ÷ 516A) 4
269)
270) 51
8 ÷ 412A) 1 6
272)
Trang 34273) 35
6 ÷ 3 34A) 1 2
273)
274) 54
9 ÷ 115A) 430
275)
276) 1
7 ÷ 5
7 ∙ 110
198
276)
277) 11
12 - 1
2 ∙ 115A) 1
277)
278) 3
8 × 21
4 + 12A) 5
278)
279) 12
5 × 2 ÷ 38A) 11
279)
280) 3 × 21
9 × 25A) 2 8
280)
281) 2
3 + 1 2 - 3
7A) 1 5
281)
Trang 35282) 2
3
2+ 51
2 ÷ 315A) 237
282)
283) 11
2 ÷ 15
2 + 1 - 342
283)
284) 11
2 ÷ 13
2 + 1 - 142
284)
Solve Write the answer as a mixed number as needed.
285) Joe has traveled 5
6 of his total trip He has traveled 570 miles so far How many more miles does hehave to travel?
285)
286) A statistician has readings that take 2
3 minute each to read and record How many readings can becompleted in 30 minutes?
286)
287) A bag of chips is 24 ounces A serving size is 3
4 ounce How many servings are in the bag of chips?
288) A piece of cable which is 2
3 m long is to be cut into pieces
Trang 36290) Fahrenheit temperatures can be obtained from Celsius (centigrade) by multiplying by 14
5 andadding 32° What Fahrenheit temperature corresponds to a Celsius temperature of 21°?
291) A statistician has readings that take 11
3 minutes each to read and record How many readings can
be completed in 108 minutes?
291)
292) The floor of a rectangular room is to be tiled with 1
3 foot square tiles along a 12
293) Stock in a company is selling for $83
8 per share If someone purchases $5427 worth of stock in thiscompany, how many shares did they get?
Provide an appropriate response.
295) List all the factors of 44
297)
Trang 37298) Write 5 as an improper fraction.
303)
304) 55
6 + 578A) 1082
304)
Subtract and simplify Write the answer as a mixed number as needed.
305) 17 - 96
7A) 71
305)
306) 136
7 - 313A) 101
306)
Trang 38307) 1
62
307)
308) 12
3 × 445
310)
Solve Write the answer as a mixed number as needed.
311) Deirdre led a tour of a Spanish city for a group of foreign tourists Of the 88 people in the group, 11
could speak Spanish What fraction of the group could not speak Spanish?
311)
312) A car traveled 159 miles on 85
6 gallons of gas How many miles per gallon did it get?
313) A recipe calls for 11
3 cups of water How much water would be needed for half the recipe?
314) Tia pays her babysitter $8 per hour The babysitter worked for 21
2 hours on Friday and 2