Squares Approximating Between Perfect Squares (Level 1)

This math topic focuses on finding the closest perfect squares above and below a given number. It aids in developing estimation skills related to squaring numbers and understanding the range within which square roots lie. Each question provides a decimal number, requiring learners to approximate its square and identify the perfect squares that enclose this value. This set of problems is part of a foundational unit on Pythagorean concepts, preparing students for more complex mathematical operations involving powers and roots.

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 1)'. 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

14, 27

b

16, 43

c

16, 25

d

16, 41

e

18, 23

f

18, 27

2

Find the closest perfect squares above and below the given number

a

25, 46

b

21, 32

c

21, 36

d

25, 36

e

27, 34

f

29, 38

3

Find the closest perfect squares above and below the given number

a

4, 13

b

4, 27

c

4, 9

d

4, 16

e

4, 25

f

2, 9

4

Find the closest perfect squares above and below the given number

a

25, 49

b

36, 49

c

34, 55

d

36, 53

e

36, 64

f

34, 65

5

Find the closest perfect squares above and below the given number

a

32, 55

b

38, 45

c

32, 49

d

36, 43

e

32, 57

f

36, 49

6

Find the closest perfect squares above and below the given number

a

9, 28

b

9, 25

c

9, 16

d

5, 24

e

5, 34

f

4, 16

7

Find the closest perfect squares above and below the given number

a

38, 49

b

36, 64

c

36, 49

d

25, 49

e

38, 55

f

34, 49