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Worksheets

PT Investigation 2

Total questions: 18

Worksheet time: 33mins

Name
Class
Date
1.

What is the prime factorization of 48?

a)

4x2x6

b)

4x2x2x3

c)

3x2x2x2x2

d)

12x4

2.

What would 2 x 2 x 2 x 3 x 3 x 5 be in exponential form?

a)

2 x 3 x 5

b)

2³ x 3² x 5

c)

2² x 3² x 5

d)

8 x 9

3.

Which of the following is 8⁶ in expanded form?

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

4.

What is the prime factorization of 16?

a)

1 x 16

b)

2 x 2 x 4

c)

2 x 2 x 2 x 2

d)

8 + 8

5.

What is the LCM of 6 and 8?

**Type ONLY number**

(a)  

6.

What is the GCF of 18 and 24?

**Type ONLY number**

(a)  

7.
LCM of 7 and 4
a)
12
b)
32
c)
56
d)
28
8.
GCF of 28 and 40
a)
2
b)
4
c)
7
d)
8
9.

When you are trying to figure out when two things with different cycles will happen at the same time:

a)

Common Factors (GCF)

b)

Common Multiples (LCM)

10.

When you are trying to split things into equal sized groups (with no leftovers)...

a)

Common Factors (GCF)

b)

Common Multiples (LCM)

11.
Sara has 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flow in each bouquet.  What is the greatest number of bouquets that she can make?
a)
Greatest Common Factor
b)
Least Common Multiple
12.
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)
Greatest Common Factor
b)
Least Common Multiple
13.

A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 15th caller receives a limo ride. After how many calls will someone win both prizes?

a)

Greatest Common Factor

b)

Least Common Multiple

14.

Emily makes flower arrangements. She has 14 red carnations and 20 white carnations. Each arrangement must have the same number of each color.

What is the greatest number of arrangements she can make?

a)

Greatest Common Factor

b)

Least Common Multiple

15.

Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of baskets he can make?

**Type ONLY number**

(a)  

16.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
17.

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?

**Type ONLY number**

(a)  

18.

Ms. Kline makes balloon arrangements. She has 24 yellow balloons and 16 white balloons. Each arrangement must have the same amount of each color. What is the greatest number of arrangements that Ms. Kline can make if every balloon is used?

a)

24 arrangements

b)

8 arrangements

c)

4 arrangements

d)

3 arrangements