Worksheets3.1 - 3.2 Quiz Review Exponents, Prime Factorization, LCM and GC
Total questions: 103
Worksheet time: 5hrs 35mins
Name
Class
Date
1.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
2.
Any number written to the 0 power is always 1
Example: 80=1
Example: 80=1
a)
True
b)
False
3.
54=
a)
20
b)
625
c)
1024
4.
Find the equivalent expression.
9 x 9 x 9 x 9 x 9
9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
5.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
6.
True or false:
Addition ALWAYS comes before subtraction.
Addition ALWAYS comes before subtraction.
a)
True
b)
False
7.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
8.
How do you write this in exponent form?
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
a)
47
b)
65,536
c)
48
d)
74
9.
What is 52 + 33?
a)
85
b)
14
c)
156
d)
52
10.
What is 33?
a)
6
b)
9
c)
27
d)
54
11.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
12.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
13.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
14.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
15.
The exponent equivalent of 20 x 20 x 20 is:
a)
20 x 3
b)
203
c)
320
d)
2000
16.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
d)
not here
17.
Which number is the EXPONENT?
42 = 16
42 = 16
a)
4
b)
2
c)
16
d)
not here
18.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
19.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
20.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?
a)
75
b)
76
c)
67
d)
77
21.
What is the standard form to this problem? 62
a)
12
b)
36
c)
4
d)
62
22.
How would you write 3x3x3x3x3x3 in exponential notation?
a)
three to the sixth power
b)
729
c)
36
d)
39
23.
Which number is the Base? 24
a)
2
b)
4
c)
They both are the base.
d)
None of them is the base.
24.
Which number is the exponent? 63
a)
6
b)
3
c)
They both are the exponent
d)
None of them are the exponent
25.
How would you write 34 in expanded notation?
a)
3 + 3 + 3 + 3
b)
3 x 3 +3 + 3
c)
three to the fourth power
d)
3 x 3 x 3 x 3
26.
How would you say 26 in word form?
a)
Six to the second power
b)
Two and six
c)
Two to the sixth power
d)
64
27.
561 = ?
a)
56
b)
0
c)
1
d)
65
28.
The base number in 35 is
a)
3
b)
5
29.
The exponent in 42 is
a)
4
b)
2
30.
How would you write 6x6x6x6 using an exponent?
a)
46
b)
64
c)
24
d)
1,296
31.
(1/2)2
a)
1/4
b)
1
c)
1/2
d)
1/8
32.
(1/5)2
a)
1/10
b)
2/10
c)
2/25
d)
1/25
33.
(1/3)3
a)
1/27
b)
1/9
c)
1/6
d)
1/3
34.
Challenge #2 (2/3)2
a)
2/6
b)
2/9
c)
4/6
d)
4/9
35.
a)
6/8
b)
9/8
c)
6/16
d)
9/16
36.
a)
1/8
b)
1/6
c)
3/6
d)
3/8
37.
a)
8/18
b)
16/81
c)
16/18
d)
8/81
38.
a)
20/22
b)
100/22
c)
20/121
d)
100/121
39.
a)
1/6
b)
1/36
c)
2/12
d)
1/12
40.
(43)2
a)
43
b)
86
c)
169
d)
4030
41.
What number is never allowed in a factor tree?
a)
13 (it's bad luck!)
b)
1
c)
8675309
d)
2
42.
If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?
a)
2⋅3⋅5⋅7
b)
2³⋅3²⋅5⋅7
c)
2²⋅3²⋅5⋅7
d)
8⋅9⋅35
43.
One is
a)
prime
b)
composite
c)
not prime or composite
d)
the loneliest number that you'll ever do
44.
Which of the following are all prime numbers
a)
2, 3, 6, 7, 9
b)
2, 4, 8, 16
c)
2, 3, 5, 7, 9
d)
2, 3, 5, 7, 11
45.
2 x 2 x 2 or 23 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
46.
Only 1 answer below could be correct for the prime factorization of a number. Which answer could be correct.
a)
4⋅2⋅5
b)
2⋅32⋅7
c)
152⋅7
d)
7²⋅4²
47.
Which is the prime factorization of 12?
a)
2 x 6
b)
2 + 2 + 2 + 2 + 2 + 2
c)
22 x 3
d)
1 x 22 x 3
48.
Using a Factor Tree, find the prime factorization of 75.
a)
52 x 3
b)
5 x 5 x 3
c)
32 x 5
d)
15 x 5
49.
Create a factor tree and find the prime factorization for 80
a)
24⋅5
b)
42⋅5
c)
2⋅2⋅2
d)
8⋅5⋅2
50.
What is the prime factorization of 144?
a)
22 x 34
b)
24 x 32
c)
23 x 33
d)
24 x 33
51.
Find the prime factorization of 72
a)
23 x 32
b)
2 x 32 x 4
c)
24 x 33
d)
22 x 62
52.
Find the prime factorization for 80
a)
42 ⋅ 5
b)
24 ⋅ 5
c)
2 ⋅ 2 ⋅ 2
d)
8 ⋅ 5 ⋅ 2
53.
What is the prime factorization of 192 ?
a)
3 ⋅ 62
b)
26 ⋅ 3
c)
28 ⋅ 3
d)
3 ⋅ 82
54.
2 x 2 x 2 or 23 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
55.
What number is never allowed in a factor tree?
a)
13 (it's bad luck!)
b)
1
c)
8675309
d)
2
56.
Which is the prime factorization of 12?
a)
2 x 6
b)
2 + 2 + 2 + 2 + 2 + 2
c)
22 x 3
d)
1 x 22 x 3
57.
Using a Factor Tree, find the prime factorization of 75.
a)
52 x 3
b)
3 x 5 x 7
c)
32 x 5
d)
15 x 5
58.
Use a number tree to find the prime factorization of 48
a)
4x2x6
b)
4x22x3
c)
3x24
d)
12x4
59.
If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?
a)
2⋅3⋅5⋅7
b)
2³⋅3²⋅5⋅7
c)
2²⋅3²⋅5⋅7
d)
8⋅9⋅35
60.
Create a factor tree and find the prime factorization for 80
a)
24⋅5
b)
42⋅5
c)
2⋅2⋅2
d)
8⋅5⋅2
61.
Which of the following are all prime numbers
a)
2, 3, 6, 7, 9
b)
2, 4, 8, 16
c)
2, 3, 5, 7, 9
d)
2, 3, 5, 7, 11
62.
Only 1 answer below could be correct for the prime factorization of a number. Which answer could be correct.
a)
4⋅2⋅5
b)
2⋅32⋅7
c)
152⋅7
d)
7²⋅4²
63.
In a power, an _______ is the the number that tells how many times the base is used as a factor.
a)
exponent
b)
base
c)
composite number
d)
prime number
64.
3 x 3 x 3 x 3
is an example of
is an example of
a)
exponential notation
b)
expanded notation
c)
base
d)
exponent
65.
Any base to the power of 1 equals...
a)
-1
b)
the base
c)
0
d)
1
66.
Any base to the power of zero equals...
a)
-1
b)
the base
c)
0
d)
1
67.
Write 144 in prime factorization. Use a factor tree. Show your work.
a)
22 x 34
b)
24 x 32
c)
23 x 33
d)
24 x 33
68.
Which of these is NOT a factor of 36?
a)
2
b)
8
c)
12
d)
6
69.
One is
a)
prime
b)
composite
c)
not prime or composite
d)
the loneliest number that you'll ever see
70.
A composite number
a)
has more than 2 factors
b)
has one factor
c)
has at least 10 factors
d)
is always a really big number
71.
Which is a factor of 15?
a)
2
b)
3
c)
4
d)
6
72.
Write 76 in prime factorization. Use a factor tree. Show your work.
a)
22 x 19
b)
2 x 192
c)
2 x 19
d)
22 x 192
73.
Write 384 in prime factorization. Use a factor tree. Show your work.
a)
24 x 3
b)
26 x 3
c)
27 x 3
d)
25 x 3
74.
What is the least common multiple (LCM) of 5 and 20?
a)
4
b)
5
c)
20
d)
100
75.
What is the least common multiple (LCM) of 2 and 3?
a)
6
b)
8
c)
20
d)
10
76.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
77.
What is the least common multiple (LCM) of 2 and 24?
a)
24
b)
2
c)
12
d)
48
78.
What is the least common multiple (LCM) of 6 and 8?
a)
6
b)
8
c)
48
d)
24
79.
GCF of 4 and 6
a)
2
b)
3
c)
4
d)
6
80.
GCF of 12 and 18
a)
3
b)
4
c)
6
d)
2
81.
GCF of 10 and 12
a)
5
b)
2
c)
3
d)
6
82.
GCF 24 and 36
a)
8
b)
6
c)
12
d)
4
83.
GCF of 32 and 40
a)
2
b)
4
c)
6
d)
8
84.
Which number is a factor of 24
a)
9
b)
7
c)
11
d)
12
85.
Eason is making activity baskets to donate to charity. She has 12 coloring books and 36 crayons. What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
86.
Is 3 a factor of 12?
a)
yes
b)
no
87.
Maya had 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
88.
Which of the choices is a factor of 10?
a)
2
b)
4
c)
6
d)
8
89.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
90.
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?
a)
16th customer
b)
150th customer
c)
300th customer
d)
180th customer
91.
GCF of 12 and 18
a)
3
b)
4
c)
6
d)
2
92.
A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which caller will be the first to win both prizes?
a)
5
b)
2
c)
10
d)
120
93.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
94.
The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?
a)
14 days
b)
24 days
c)
34 days
d)
44 days
95.
TRUE or FALSE?
A FACTOR is greater than the number you are factoring
a)
TRUE
b)
FALSE
96.
51 is a _____________ of 3
a)
Factor
b)
Multiple
97.
Two neon signs are turned on at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?
a)
48 seconds
b)
45 seconds
c)
16 seconds
d)
3 seconds
98.
Select all of the multiples of 8.
a)
2
b)
8
c)
32
d)
4
99.
What is the least common multiple (LCM) of 8 and 5?
a)
50
b)
40
c)
5
d)
8
100.
Jeremy has two pieces of wood: one is 90 inches and the other is 72 inches. He wants to cut both pieces of wood into smaller pieces so that all these pieces are the same length. If he wants the pieces to be as long as possible and doesn’t want to have any lumber left over, how long should each piece be? How many total pieces of lumber will he have?
a)
Greatest Common Factor
b)
Least Common Multiple
101.
Find the LCM of 18 and 24
a)
6
b)
72
c)
24
d)
5
102.
At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs and 144 thighs. The staff had to prepare platters for an office lunch. If each platter will have the same number of legs and thighs, what is the greatest number of platters they can make?
a)
48
b)
2
c)
4
d)
16
103.
Find the GCF of 64 and 144
a)
8
b)
6
c)
16
d)
2
100 %
