Evaluating Expressions
Greatest Common Factor
Least Common Multiple
Word Problems
Potpourri
100

Write the product as a power: 

15 * 15 * 15 * 15 *15

What is 

15 ^5?

100

Find the GCF of 76 and 24.

What is 4?

100

What is the LCM 8 and 14.

What is 56?

100

Determine whether or not 25 is a perfect square.  Explain.

What is 25 is a perfect square because 

5^2 = 25

100

Evaluate the factor pairs of 24.

What is: 1,24; 2, 12; 3, 8; 4, 6?

200

Find the value of the power:  8^4 

What is 4,096?

200

Find the GCF of 58 and 72.

What is 2?

200

What is the LCM of 5 and 12?

What is 60?

200

What is the greatest perfect square that is a factor of 350?  Explain.

What is 25?

200

Identify the prime factorization of 112.

What is 

2^4 * 7?

300

Which power has a value greater than 220 and less than 400?        

 4^3   3^5    4^5    10^3 

What is 

3^5?

300

Identify the factor pairs for 18.

What is: 1, 18; 2, 9; 3, 6?

300
What is the LCM for 3, 9, and 11?

What is 99?

300

You are filling treat bags for your friend's birthday party. The list below shows the treats you plan on putting in each bag.  You want identical treats per bag with no leftovers. What is the greatest number of treat bags you can make?

18 Tootsie Pops, 12 packs of gum, 30 jolly ranchers

What is 6 treat bags?

300

Each face of a cube is a square with a side length of 4 meters. What is the total area of all of the faces of the cube?

What is 96 meters cubed?

400

Evaluate: 

 11-8(12+6) div 6^2 

What is 7?

400

What is the GCF for 7, 14, and 22?

What is 1?

400

You hang two strands of Christmas lights.  Stand 1 changes every 11 seconds. Strand 2 changes every 12 seconds. After how many seconds will both strands change at the same time?

What is 132 seconds?
400

What is the greatest perfect square that is a factor of 243?

What is 81?

400

You are filling bags with cookies to give to your friends. The list shows the cookies you are putting into the bags. You want identical groups of cookies in each bag with no cookies left over.  What is the greatest number of bags you can make?  

16 chocolate chip cookies, 32 peanut butter cookies, 48 oatmeal cookies

What is 16?

500

Identify the prime factorization of 135.

What is 

3*3*3*5?

500

What is the GCF of 54 and 96?

What is 6?

500

Stoplight A changes color every 15 seconds and Stoplight B changes color every 45 seconds. Both stoplights changed color 12 seconds ago. After how many seconds will the stoplights change color at the same time again?

What is 33 seconds?

500

A pool is in the shape of a cube with edge lengths of 8 feet.  Find the number of cubic feet of water needed to fill the pool.  Then find the number of cubic yards of what to fill the pool.  

*To find cubic yards, divide cubic feet by 27*

What is 512 cubic feet and 18.9 cubic yards?

500

A square vegetable garden has side lengths of 8 feet. You plant flowers in the center portion of the garden, a square that has side lengths of 2 feet.  You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers. What is the area of the zucchini section?

What is 15 feet? 

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