Today's question

Make the numbers from 1 to 16 as 8 pairs of numbers. The sum of each pair should be a perfect square. You can post your answers as comments.

Easy division by 9

A repeated pattern is produced when a number smaller than 9 is divided by 9.

Example:

1. 7/9 = 0.777... (This will work if the dividend is from 1 to 8 and the divisor is 9)

2. 86/9 = 0.8686... (This will work if the dividend is from 10 to 98 and the divisor is 99)

3. 5/99 = 0.0505... (This will work for dividends 1 to 9 and divisor 99)

4. 594/99 = 0.594594... (This will work for dividends 100 to 998 and divisor 999)

5. 74/999 = 0.074074... (This will work for dividends 10 to 99 and divisor 999)

6. 3/999 = 0.003003... (This will work for dividends 1 to 9 and divisor 999)

Answer to previous question

All cubes are in the form 7n + 1. That is, when 1 is added or subtracted from the cube, they will be multiples of 7.

                  

                  2x2x2 = 8 = (7x1) + 1

                  3x3x3 = 27=(7x4) - 1

                  4x4x4 = 64=(7x9) + 1

                  5x5x5 = 125=(7x18) + 1