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Test of GCF LCM Prime/Composite and Exponents

Total questions: 20

Worksheet time: 34mins

Name
Class
Date
1.

Which set of numbers are all prime numbers?

a)

2, 3, 4, 6, 8

b)

3, 6, 9, 12, 15

c)

2, 7, 13, 15, 18

d)

3, 7, 11, 17, 19

2.

Select all that apply!! (There may be more than one answer)

Which list of numbers are all multiples of 4?

a)

4, 8, 10, 12, 16

b)

4, 8, 12, 16, 20

c)

24, 32, 36, 40, 44

d)

28, 30, 32, 40, 44

3.

Select all of the composite numbers. There may be more than one answer.

a)

2

b)

14

c)

15

d)

20

4.

What are all the factors of 36?

a)

1, 2, 3, 4, 6, 9, 12, 18, 36

b)

1, 3, 4, 9, 12, 36

c)

1, 2, 3, 6, 12, 36

d)

1, 2, 3, 4, 6, 8, 9, 10, 12, 36

5.

How do you write the following number sentence using exponents?


8x8x8x8x8

a)

 858^5  

b)

 848^4  

c)

8x5

d)

 585^8  

6.

Evaluate the following.

 949^4  

a)

729

b)

81

c)

36

d)

6, 561

7.

Complete a factor tree. What are the prime factors of 60?

a)

2x3x5

b)

2x2x5

c)

2x2x3x5

d)

2x2x2x3x5

8.

What is the greatest common factor of

20 and 28?

a)

2

b)

4

c)

6

d)

8

9.

What is the least common multiple of

10 and 12?

a)

2

b)

30

c)

60

d)

120

10.

Randy is setting out some snacks for friends he is having over. He has 18 crackers and 12 slices of cheese. If he wants each plate to be identical, with no food left over, what is the greatest number of plates Randy can prepare?

a)

9

b)

2

c)

3

d)

6

11.

List all the factors of 18.

4 lines
12.


 74 7^{4\ }  in expanded form is 7x7x7x7

Write the following expression in expanded form.

 656^5  

4 lines
13.

Complete a factor tree. What are the prime factors for 45?

4 lines
14.

How would you write 232^3  x  525^2  in expanded form?

4 lines
15.

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?

4 lines
16.

Melissa has 15 oranges and 18 pears. She wants to put all of the fruit into baskets with each basket having the same number of pieces of fruit in it. What is the greatest number of baskets Melissa can make?

4 lines
17.

Using a Factor Tree, find the prime factorization of 75.

a)

3 x 525^2

b)

323^2 x 5

c)

32 x 5 x 7

d)

15 x 5

18.

What is the Prime Factorization of 144?

a)

24 x 32

b)

22 x 34

c)

24 x 34

d)

22 x 32

19.

Which is larger?


53 or 35

a)

53

b)

35

c)

They are equal

20.

Which is larger?


15 or 18

a)

15

b)

18

c)

They are equal