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Name: _______________________ Date: ___________
Triangles – Perfect and Non-Perfect Squares Class: Pre-Algebra
Basic Skills Practice
1 Place the first 15 perfect squares correctly on the number line below. One has been done for you.
2 Fill in the following chart. The first row has been done for you.
Radical
Which two integers
is the square root
between?
Which integer is
the square root
closest to?
Use your calculator
to find square root
[ending in …]
Round answer to
the nearest tenth.
Round answer to
the nearest
hundredth.
a. 33 5 and 6 6 5.7445… 5.7 5.74
b. 10
c. 130
d. 40
e. 48
f. 23
g. 150
h. 108
i. 3
j. 92
Find the value of the perfect square without using a calculator.
3
49
9
4
25
16
5
100
25
6
4
1
7
169
36
8 96.1
9 64.0
10 0144.0
11 8.1 is not a perfect square but .81 is
a perfect square. Use your
knowledge of perfect squares and
multiplying decimals to explain
why this is so.
Sheet # 12-04
Critical Thinking
12 Sarah builds a dollhouse. The floor of the
dollhouse is square. Sarah covers the floor with
144 square inches of tile. How long, in inches, is
one side of the dollhouse floor?
A 12
B 72
C 38
D 144
13 A marching band wants to form a square in the
middle of the field. If there are 100 members in
the band, how many should be in each row?
A 4
B 10
C 25
D 50
14 Mr. Freeman’s farm has a square cornfield. Find
the area of the cornfield if the sides are measures
in whole numbers.
A 164,000 ft²
B 170,150 ft²
C 170,586 ft²
D 174,724 ft²
15 A square kitchen floor has an area of 500 square
feet. Estimate the length of one wall to the nearest
tenth of a foot.
Answer _______ ft
16 The area of the base of a square notepad is 2.25
square inches. What is the length of one side of
the base of the notepad?
Answer _______ inches
17 Find the dimensions of the square and circle.
18 Find two numbers a and b that satisfy the
diagram.
Answer a = _____ b = _____
19 The area of each square is 15 square units. Find
the perimeter of the figure.
Answer __________units
20 A checkers board is 8 squares long and 8 squares
wide. The area of each square is 14 square
centimeters. Estimate the perimeter of the
checkers board to the nearest tenth of a
centimeter.
Answer ________ cm
21 The kinetic energy K (in joules) of a falling
object is represented by 2
2vK , where v is the
speed of the object( in meters per second). How
fast is the object traveling when the kinetic
energy is 32 joules?
Answer __________mps
22 Can the square of an integer be a negative
number? Explain.
23 Does 256 represent the positive square root of
256, the negative square root of 256, or both?
Explain.
24 There are two square roots of
25. Why is there only one
answer for the radius of the
button?