Use the dot pattern to show Triangular number is a square number

Use the dot pattern to show Rectangular number is a triangle number

The number 442 is a perfect square number.

Product of two square numbers is always a square number.

Using dot (. ) pattern, which of the following numbers can be arranged in all the three ways i.e., line, triangle and a rectangle?

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

The sum of the squares of two positive integersis 208. If the square of the larger number is 18 times the smaller number, find the number.

If a number contains 3 zeroes at the end, how many zeros will its square have ? What do you notice about the number of zeros at the end of the number and the number of zeros at the end of its square ? Can we say that square numbers can only have even number of zeros at the end ?

Which number has an odd square:

Look at the match sticks patterns of squares. The squares are not separate. Two neighbouring square have a common match stick. Observe the patterns and find the rule take gives the number of match sticks in term of numbr of squares.