Perfect Squares and Roots
Cubes and Cube Roots
Expressions
Estimating Non-Perfect Squares
Word Problems
100
What are the TWO roots of: √16
4, -4
100
What is 2³?
8
100
√225 - 8
7
100
What two numbers is the non-perfect square between: √116
10 and 11
100
Susie is baking a cake for her sister. If the area of the cake pan is 100 square inches, how long is each side of the pan?
10 inches
200
What is 8²?
64
200
What is the cubed root of 64?
4
200
√(110+11) x 4
44
200
What two numbers is the non-perfect square between: - √31
-5 and -6
200
Brandon bought a gift for his best friend's birthday. The box it was put in is a square. Each side is 13 inches long. What is the area of one of the sides of the box?
169
300
What are the TWO roots of: √169?
13, -13
300
What is -3³?
-27
300
√(125/5) x -7
-35
300
Estimate to the nearest tenth: √107
10.3
300
Mrs. Rea wanted to fence in her back yard for her puppy Layla. Her back yard has an area of 49 square feet. If her yard is a square, how much fencing must Mr. Rea buy for her?
28 feet
400
What is 15²?
225
400
What is the cubed root of 1?
1
400
- √196 - √(25+11)
- 20
400
Estimate to the nearest tenth: - √152
12.3
400
Talton was building a model of his ideal city for his project in Mrs. Caravana's class. He wanted to build a wall around his city for protection. The model is a square and has an area of his city is 196 cm. What is the length of each wall? What is the perimeter of the city?
Length: 14 centimeters Perimeter: 56 centimeters
500
What are the TWO roots of: √121?
11, -11
500
What is the cubed root of -125?
-5
500
15 + 2³ + - √(156 - 12)
11
500
Estimate to the nearest tenth: - √241
-15.5
500
Challenge Question: Jason was wrapping a gift he bought for Mother's Day. He was not sure how much wrapping paper to cut so that it would cover the entire box. He knew the box was a cube and each side measured 6 inches. How much wrapping paper did Jason need? (Hint: Remember how many sides are on a cube!)
Sides: 6 inches Area of one side: 36 square inches Total area: 216 square inches
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