Math 8
Squares and Square Roots bellwork.
Block:________
Name:____________________
Date:____________
1) Which two consecutive whole numbers is each square root between? How do you
know?
a)
b)
5
d) 38
11
c)
57
e) 171
2) Write five square roots whose values are between 9 and 10. Explain your strategy.
3) Is each statement true or false? Explain.
a)
17 is between 16 and 18.
b)
5 +
5
is greater than
10
Math 8
Unit 5: Squares and Square roots WS.
Date:_________________
Name:_____Key_______
Block:_________
1) Determine if the given numbers in the table are the perfect squares. Then write it
as a square of another integer.
2. Find the Prime factorization for each of the following numbers:
4. Given the area of each of the square, find the side length. Remember to indicate
the units
5. If 14 litres of paint can cover an area of 49 m2. If a square is painted on a wall,
a) what is the side length of the square? b) how much paint is needed to cover
an area of 1m2?
a) S =
49  7 m
b) Use equivalent ratios method.
6. If you have a rectangular frame that measure 50 cm by 60 cm, would you be able
to put a square picture with an area of 2025 cm2 inside the frame?
First we need to find the side length of the square picture.
S=
2025 = 45 cm
Since the measurements of the length and the width of the rectangular
frame are bigger than the side length of the square picture, so the picture
definitely fit inside the frame.
3
of his living room. If his living room
8
7. Mr. Young has a square rug that covers
measures 12 ft by 18 ft, find the side length the rug.
First find the area of the living room = 12 x 18 = 216 ft2.
Then find the area of the square rug =
Side length of the rug =
3
 216 = 81 ft2.
8
81 = 9 ft.
8. The approximate speed of sound is dry air, c in m/s, is related to temperature, t in
degrees Celsius. The formula is given by c  20  (t  273) . What is the speed of
sound at 16 degrees Celsius?
To get the answer of this problem, you simply substitute the given value into
the formula involves a square root.
C = 20 
(16  273) = 20 
289 = 20 17 = 340 m/s
Ans: The speed of the sound at 16 degrees Celsius is 340 m/s.