Squares and square roots

The Maths Habit

How many squares are there
on a chessboard?

204

Square number
The answer when a number is multiplied by itself.
Square root
The number that was multiplied by itself.

25 cm25 cm

What is the area?

4 cm

How long is each side?

0.16 cm2

How long is each side?

900 cm2

Side = 30 cm

How long is each side?

1600 cm2

Side = 40 cm

How long is each side?

900 cm2

Side = 30 cm

How long is each side?

2500 cm2

Side = 50 cm

How long is each side?

900 cm2

Side = 30 cm

How long is each side?

3600 m2

Side = 60 m

How long is each side?

900 cm2

Side = 30 cm

What is the area?

0.6 m

Area = 0.36 m2

How long is each side?

900 cm2

Side = 30 cm

How long is each side?

0.49 cm2

Side = 0.7 cm

Squares and square roots worksheet, page 1

Squares and square roots worksheet, page 2

Answer sheet

  1. Which two whole numbers does the square root of 50 lie between?

    7 and 8
  2. A square has a perimeter of 36 cm. What is its area?

    81 cm2

A chessboard has 64 small squares, 49 that are 2 by 2, 36 that are 3 by 3, and so on. How many squares altogether?

64 + 49 + 36 + … + 1 = 204

  1. A square has sides of 13 cm. What is its area?

    169 cm2
  2. A square has an area of 0.81 cm2. How long is each side?

    0.9 cm
  3. Tia says a square with an area of 0.9 cm2 has sides of 0.3 cm. Is she right? Explain.

    No: 0.32 = 0.09
Exit tickets to print