Squaring Numbers
 beginning with 1
 beginning with 5
 beginning with 9
 ending in 1
 ending in 2
 ending in 3
 ending in 4
 ending in 5
 ending in 6
 ending in 7
 ending in 8
 ending in 9
 made up of 1's
 made up of 3's
 made up of 6's
 made up of 9's
 in the 20's
 in the 30's
 in the 40's
 in the 50's
 in the 60's
 in the 70's
 in the 80's
 in the 100's
 in the 200's
 in the 300's
 in the 400's
 in the 500's
 in the 600's
 in the 700's
 between 800810
 in the 900's
 between 10001100
 between 20002099
 between 30003099
 between 40004099
 between 50005099
 between 60006099
 between 70007099
 3's and final 1
 3's and final 2
 3's and final 4
 3's and final 5
 3's and final 6
 3's and final 7
 3's and final 8
 3's and final 9
 6's and final 1
 6's and final 2
 6's and final 3
 6's and final 4
 6's and final 5
 6's and final 7
 6's and final 8
 6's and final 9
 9's and final 1
 9's and final 2
 9's and final 3
 9's and final 4
 9's and final 5
 9's and final 6
 9's and final 7
 9's and final 8
 1 and repeating 3's
 1 and repeating 6's
 1 and repeating 9's
 2 and repeating 3's
 2 and repeating 6's
 2 and repeating 9's
 3 and repeating 6's
 3 and repeating 9's
 4 and repeating 3's
 4 and repeating 6's
 4 and repeating 9's
 5 and repeating 3's
 5 and repeating 6's
 5 and repeating 9's
 6 and repeating 3's
 6 and repeating 9's
 7 and repeating 3's
 7 and repeating 6's
 7 and repeating 9's
 8 and repeating 3's
 8 and repeating 9's
 9 and repeating 3's
 9 and repeating 6's
 6digits repeating
 2 rep./sq. of 1 digit
Multiplying Numbers
Dividing Numbers
Adding Numbers
Subtracting Numbers
Finding Percents
Calculation
Practice Exercises
Full List

Squaring numbers between 2000 and 2099
 Choose a number between 2000 and 2099. (Start with numbers below 2025
to begin with, then graduate to larger numbers.)
 The first two digits are: 4 0 _ _ _ _ _
 The next two digits are 4 times the last two digits:
4 0 X X _ _ _
 For the last three digits, square the last two digits
in the number chosen (insert zeros when needed):
4 0 _ _ X X X
Example:
 If the number to be squared is 2003:
 The first two digits are: 4 0 _ _ _ _ _
 The next two digits are 4 times the last two:
4 × 3 = 12: _ _ 1 2 _ _ _
 For the last three digits, square the last two:
3 × 3 = 9: _ _ _ _ 0 0 9
 So 2003 × 2003 = 4,012,009.
See the pattern?
For larger numbers, reverse the order:
 If the number to be squared is 2025:
 For the last three digits, square the last two:
25 × 25 = 625: _ _ _ _ 6 2 5
 The middle two digits are 4 times the last two (keep the carry):
4 × 25 = 100 (keep carry of 1): _ _ 0 0 _ _ _
 The first two digits are 40 + the carry:
40 + 1 = 41: 4 1 _ _ _ _ _
 So 2025 × 2025 = 4,100,625.
