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?