Squares Approximating Between Perfect Squares (Level 2)

This math topic focuses on identifying perfect squares immediately above and below given numbers. Students practice converting non-whole numbers to their squared values to approximate their placement between two consecutive perfect squares. Each problem presents a number that needs to be squared, and the task is to determine the perfect squares directly below and above the resulting value. This helps deepen understanding of square roots and squares in relation to their nearest whole perfect squares.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Squares Approximating Between Perfect Squares Worksheet

Math worksheet on 'Squares Approximating Between Perfect Squares (Level 2)'. Part of a broader unit on 'Squares and Square Roots - Advanced' Learn online: app.mobius.academy/math/units/squares_and_square_roots_advanced/

1

Find the closest perfect squares above and below the given number

a

11, 22

b

4, 16

c

9, 16

d

9, 32

e

9, 25

f

11, 32

2

Find the closest perfect squares above and below the given number

a

16, 29

b

16, 31

c

12, 43

d

16, 36

e

16, 25

f

9, 25

3

Find the closest perfect squares above and below the given number

a

9, 30

b

9, 16

c

9, 25

d

11, 16

e

4, 16

f

7, 20

4

Find the closest perfect squares above and below the given number

a

68, 73

b

64, 95

c

68, 87

d

64, 81

e

66, 79

f

62, 81

5

Find the closest perfect squares above and below the given number

a

1, 4

b

1, 22

c

1, 20

d

1, 12

e

1, 16

f

1, 10

6

Find the closest perfect squares above and below the given number

a

1, 9

b

1, 16

c

1, 4

d

1, 10

e

1, 6

f

1, 8

7

Find the closest perfect squares above and below the given number

a

2, 25

b

2, 13

c

4, 9

d

4, 16

e

4, 11

f

2, 15