SQUARE ROOTS
PERFECT SQUARES
TRUE or FALSE
WORD PROBLEMS
Tree Diagrams
100

√1 = ?

What is 1?

100

52 = ?

What is 25?

100
√20 = 400
What is FALSE. The square root of 400 is 20.
100

Jaelynn made a square table that had an area of 49 square feet. How long was each side?

What is 7 feet?

100

Make a prime factor tree for 20. List the prime factors

Factors: 2, 2, 5

200
√64 = ?
What is 8?
200

102 = ?

What is 100?

200
√196 = 14
What is TRUE.
200

If a room has walls that are 9 feet long each, how much carpet is needed?

What is 81 square feet?

200

Make a prime factor tree for 100. List the prime factors.

Factors: 2, 2, 5, 5

300
√81 = ?
What is 9?
300

Which number(s) is not a perfect square: 2, 4, 8, 16

What is 2 and 8?

300

√196 = 14       √16 = 256

What is FALSE. The square root of 256 is 16. The square root of 16 is 4.

300

A coffee table has an area of 289 square inches. How long is each side?

What is 17?

300

Make a prime factor tree for 140. List the prime factors.

Factors: 2, 2, 5, 7

400

√121 = ?

11

400

152 = ?

What is 225?

400

Delaney’s square binder had an area of 121 square inches. She thinks each side must be 11 inches. 

What is true? The square root of 121 is 11.

400

Courtney is framing a picture that is 225 square centimeters. She needs to buy the wood to get the frame built. How many centimeters of wood does she need to buy?

What is 60 centimeters?

400

Make a prime factor tree for 250. List the prime factors.

Factors: 2, 5, 5, 5

500

√441 = ?

What is 21?

500

Which perfect square falls between 230 and 300?

What is 256?

500

√10 = 5 because 5 x 2 = 10.

What is FALSE. 5 squared = 25.

500

Mr. Golden is putting a border around his new bulletin board. His bulletin board has an area of 196 square inches. He already has 30 inches of bulletin board. How much more does he need?

What is 26 inches?

500
Make a prime factor tree for 441. List all the factors.

Factors: 3, 3, 7, 7

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