Trick of the Day - Things to memorize

This website contains a ton of tricks:
math-magic.com


Today's trick is not a trick, but a list of facts that one must memorize to improve one's score:

1. 67*67 = 4489
667*667 = 444889
6667*6667 = 44448889
and so on...

2. 1*9 + 2 = 11
12*9 + 3 = 111
123 * 9 + 4 = 1111
and so on...

3. 1*8 + 1 = 9
12*8 + 2 = 98
123*8 + 3 = 987
and so on...

Any more anyone can think of?

squares
cubes
Factorials

also

1*9 +2 = 11
12* 9 +3 = 111
123*9 + 4 = 1111

So on...

As well as some things to remember--

(x)^2 + (3x)^2
is the same thing as 10 * (x)^2
some people dont know this, so just throwing it out there.

And another.
Kinda simple, but REMEMBER YOUR TRIANGLES!!!
3-4-5
5-12-13
7-24-25
9-40-41
11-60-61
8-15-17

these are the most commonly used.

memorize cubes up to 17 at least:
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125
6^3 = 216
7^3 = 343
8^3 = 512
9^3 = 729
10^3 = 1000
11^3 = 1331
12^3 = 1728
13^3 = 2197
14^3 = 2744
15^3 = 3375
16^3 = 4096
17^3 = 4913

Coach Boyd taught (at least while I was there) to memorize squares up to 40 and cubes up to 25.

(I was lazy and did it in JavaScript. If anyone wants to post HTML or JavaScript, just let me know - only admins can).