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Chapter 5 ExamName___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether or not the first number is divisible by the second number
1) 261,639; 3 1)
A) No B) Yes
2) 837,975; 5 2)
A) No B) Yes
3) 529,573; 5 3)
A) No B) Yes
4) 22,235; 2 4)
A) No B) Yes
5) 20,801; 3 5)
A) Yes B) No
6) 2408; 2 6)
A) No B) Yes
7) 30,032; 4 7)
A) No B) Yes
8) 281,031; 4 8)
A) No B) Yes
9) 281,952; 9 9)
A) Yes B) No
10) 184,214; 9 10)
A) No B) Yes
11) 88,300; 10 11)
A) No B) Yes
12) 18,858; 6 12)
A) Yes B) No
13) 23,595; 6 13)
A) Yes B) No
14) 124,372; 8 14)
A) No B) Yes
1
, 15) 12,728; 8 15)
A) No B) Yes
Find the prime factorization of the number.
16) 45 16)
A) 9 ∙ 3 B) 3 2 ∙ 5 C) 9 ∙ 5 D) 5 2
17) 612 17)
A) 2 3 ∙ 3 2 ∙ 17 B) 2 4 ∙ 17 C) 3 4 ∙ 17 D) 2 2 ∙ 3 2 ∙ 17
18) 504 18)
A) 2 3 4 ∙ 7
∙ B) 2 3 ∙ 3 3 ∙ 7 C) 2 4 ∙ 3 ∙ 7 D) 2 3 ∙ 3 2 ∙ 7
19) 231 19)
A) 21 ∙ 11 B) 3 2 ∙ 11 C) 7 2 ∙ 3 D) 3 ∙ 7 ∙ 11
20) 90 20)
A) 2 ∙ 3 2 ∙ 5 B) 10 ∙ 3 2 C) 2 2 ∙ 3 2 ∙ 5 D) 2 ∙ 3 ∙ 5
21) 94 21)
A) 2 2 ∙ 47 B) 2 2 C) 2 ∙ 47 D) 2 ∙ 45
22) 530 22)
A) 2 ∙ 5 ∙ 53 B) 10 ∙ 53 C) 2 2 ∙ 53 D) 5 2 ∙ 53
23) 19,575 23)
A) 3 3 ∙ 5 2 ∙ 29 B) 3 4 ∙ 29 C) 3 2 ∙ 5 3 ∙ 29 D) 5 4 ∙ 29
Find the greatest common divisor (GCD).
24) 8 and 12 24)
A) 4 B) 8 C) 1 D) 2
25) 50 and 60 25)
A) 5 B) 1 C) 10 D) 2
26) 20 and 17 26)
A) 1 B) 2 C) 17 D) 10
27) 42, 56, and 98 27)
A) 7 B) 1 C) 14 D) 42
28) 30 and 270 28)
A) 10 B) 30 C) 15 D) 6
29) 10, 16, and 20 29)
A) 2 B) 10 C) 4 D) 1
2
,Find the least common multiple (LCM).
30) 30 and 90 30)
A) 90 B) 30 C) 180 D) 270
31) 45, 56, and 150 31)
A) 12,600 B) 1,050 C) 2520 D) 1260
32) 48, 162, and 27 32)
A) 648 B) 1296 C) 324 D) 432
33) 56 and 96 33)
A) 224 B) 672 C) 168 D) 1344
34) 60, 20, and 50 34)
A) 300 B) 150 C) 60 D) 100
Solve.
35) Several different bus routes stop at the corner of Second St. and Lincoln Ave. A Wilkenson bus 35)
arrives every 27 minutes and a Harris Road bus arrives every 15 minutes. If both buses arrive at
the stop at 5:07 AM, when will they again arrive at the same time?
A) 11:52 AM B) 7:22 AM C) 6:42 AM D) 9:12 AM
36) Several different bus routes stop at the corner of Second St. and Lincoln Ave. A Wilkenson bus 36)
arrives every 99 minutes, a Fifth Avenue bus arrives every 63 minutes and a Harris Road bus
arrives every 77 minutes. If both buses arrive at the stop at 5:07 AM, how many minutes will pass
before both buses arrive at the same time again?
A) 63 minutes B) 77 minutes
C) 693 minutes D) 480,249 minutes
37) At Northwest High School, there are 1088 students in the Junior Class and 748 students in the 37)
Senior Class. To let the juniors work with more experienced students, the teachers want to assign
the students to committees with the same number of juniors in each committee and the same
number of seniors in each committee. (For example, there might be 2 juniors and 3 seniors in every
committee). What is the largest number of committees that can be formed?
A) 4 committees B) 68 committees C) 17 committees D) 272 committees
38) At Northwest High School, there are 207 students in the Sophomore Class, 135 students in the 38)
Junior Class, and 189 students in the Senior Class. The teachers want to assign the students to
committees with the same number of sophomores, juniors, and seniors in each committee. (For
example, there might be 4 sophomores, 2 juniors, and 3 seniors in every committee). What is the
largest number of committees that can be formed?
A) 3 B) 9 C) 35 D) 27
39) At Lincoln High School, there are 513 students in the Junior Class and 1197 students in the Senior 39)
Class. The teachers want to assign the students to committees with the same number of juniors in
each committee and the same number of seniors in each committee. (For example, there might be 2
juniors and 3 seniors in every committee). What are all the possible numbers of committees they
could form and still meet this goal?
A) 3, 19, 27, or 171 different committees B) 3, 9, 57, 171, or 399 different committees
C) 3, 19, 9, 57, or 171 different committees D) 3, 19, 9, or 27 different committees
3
, 40) Janine and Thor are both running for class president. Janine goes down a hallway in the school 40)
and puts a sticker on every fourth locker. Thor goes down the same hallway, putting one of his
stickers on every seventh locker. If there are 110 lockers in the hallway, how many have both
studentsʹ stickers?
A) 7 B) 15 C) 28 D) 3
Provide an appropriate response.
41) True or False? 5 is a factor of 10. 41)
A) True B) False
42) True or False? 5|15 42)
A) True B) False
43) True or False? 35|7 43)
A) True B) False
44) True or False? 7 is a multiple of 14. 44)
A) True B) False
45) True or False? 35 is a multiple of 7. 45)
A) True B) False
46) True or False? 3 is divisible by 6. 46)
A) True B) False
47) True or False? 15 is divisible by 5. 47)
A) True B) False
48) True or False? If a number is divisible by 2, then the number must also be divisible by 10. 48)
A) True B) False
49) True or False? If a number is not divisible by 7, then it is not divisible by 14. 49)
A) True B) False
50) True or False? If a number is divisible by 5 and 3, then the number is divisible by 15. 50)
A) True B) False
51) True or False? If a number is divisible by 6, then every digit of the number is divisible by 6. 51)
A) True B) False
52) Choose the number that is divisible by 2, 3, 7, 6, and 14. 52)
A) 114 B) 42 C) 142 D) 21
Evaluate the expression.
53) -89 + 9 53)
A) -98 B) -80 C) 80 D) 98
54) 9 + (-4) 54)
A) -5 B) -13 C) 13 D) 5
4
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