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Unit 6: Lesson 1
“Perfect Squares”
1. Suppose the areas are equal…

Name:____________________
2. Evaluate!
How long would the sides of the square have to be?
a)
a) 1681 = ______________
9
4
b)
256 = ______________
c)
1521 = ______________
d)
8464 = ______________
?
b)
16
4
?
c)
45
3. Decimals happen!
(Round your answer to the
nearest hundredth)
20
?
a)
2 =
b)
40 =
c)
96 =
d)
96
24
?
e)
147
d) 147 =
18
?
1
4. Complete the definition:
Vocabulary Word
A number is called a perfect square if…
5. Complete the table.
Perfect Square
Square Root
Multiplication Fact
81
324
1600
576
289
9025
32400
1,582,564
6. Is it a perfect square?

Cross out the numbers that are not perfect squares. Write a multiplication fact for the numbers that
are.
441
1,225
137
169
625
2,000
5,184
4,000
21,316
794
409,600
1681
2
7. Give us 20!!!
List the first 20 perfect square numbers.
8. Think about it….
a) Find the smallest perfect square that is greater
than 150.
b) Find the smallest perfect square that is greater
than 2,000.
Answer: ________________
Answer: ________________
c) The number 13,000 is between which perfect
squares?
d) The number 750 is between which perfect
squares?
_____________ < 13,0000 < _____________
_____________ < 750 < _____________
e) What is the largest perfect square under 500?
f) Find the largest perfect square that is less than
100,000.
Answer: ________________
Answer: ________________
3
9. Evaluate the following square roots. Round your answers to the nearest hundredth.
a)
2
b)
37
c)
64
d)
1000
e)
32  42
f)
52  122
g)
412  402
h)
612  602
10a) Be careful with the parenthesis!!!
Evaluate 2 80  2  65  18
Answer: __________________
10b) Close the parenthesis where the square root
ends.
Evaluate
400  76
6
Answer: __________________
11. Calculator Practice

a)
Evaluate the following expressions for x=4.
10 x  9  12
d) 4 25x  28
Scrambled answers:
20  x
2
b)
e)
2
19
x  32
x 8
6
8
12
c)
x  21  x  3
f)
64
76  3x
3
4