Math 8 Squares and Roots Worksheet. Name:___________________

Math 8 Chapter# 1 Squares and Square Roots. Name:______________

Date:_________________ Block:______

1) Use the given diagram on the right to determine:

a) What is the area of the large square ?

b) What is the area of one triangle ?

c) What is the area of all 4 triangles together ?

d) What is the area of the inscribed square (inside square)?

e) Determine the length of a side of the inscribed square.

2) Use the given diagram on the right to determine:

a) What is the area of the large square ?

b) What is the area of one triangle ?

c) What is the area of all 4 triangles together ?

d) What is the area of the inscribed square (inside square)?

e) Determine the length of a side of the inscribed square.

3) Use the given diagram on the right to determine:

a) What is the area of the large square ?

b) What is the area of one triangle ?

c) What is the area of all 4 triangles together ?

d) What is the area of the inscribed square (inside square)?

e) Determine the length of a side of the inscribed square.

4) A number of squares are drawn below:

Count the blocks (combine pieces of blocks) inside each square to find the area of that square.Determine the length of the sides for each square and complete the table:

1. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Explain how the list of factors can helpdetermine if a number is a perfect square or not.

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2. The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 and 160. Is the number 160 a perfectsquare. Justify your answer.

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3. a) List the factor pairs of each number. Which numbers are square numbers? How do you know?

Some interesting patterns in square numbers

Another interesting pattern.

Using the given pattern, find the missing numbers.

Your turn:

__________ + _________ + __________ = ___________

__________ + _________ + __________ = ___________

__________ + _________ + __________ = ___________