 Posers and Puzzles

1. 16 Jan '03 09:11
With these easy ones I don't know if people should post the answer or let others waste 30 seconds working it out, but anyway:

How many squares are there on half a chess board?

nb. I haven't even tried to count the number on a full board. Anybody know a clever mathimatical way to do it that a simpleton (me) could understand?
2. 16 Jan '03 09:40
Originally posted by belgianfreak
With these easy ones I don't know if people should post the answer or let others waste 30 seconds working it out, but anyway:

How many squares are there on half a chess board?

nb. I haven't even tried to count the number on a full board. Anybody know a clever mathimatical way to do it that a simpleton (me) could understand?
since you didn't specify how the half chessboardlooks like, the answer will vary between 0 and the number that I will not quote here but that you obtain by cutting the chessboard with one horizontal or vertical line through the middle.
3. 16 Jan '03 10:51
(8 x 4) = 32 1x1 squares +
(7 x 3) = 21 2x2 squares +
(6 x 2) = 12 3x3 squares +
(5 x 1) = 5 4x4 sqaures =

...same as sintubin.
4. 16 Jan '03 12:39
Originally posted by sintubin
since you didn't specify how the half chessboardlooks like, the answer will vary between 0 and the number that I will not quote here but that you obtain by cutting the chessboard with one horizontal or vertical line through the middle.
true, you could cut it accross the diagonal... but that'd just be silly 😉

another:

the sequance 312132 used each of the numbers twice, and each number has that number of other numbers separating them. eg. the 1's have one number between them, the 3's have three numbers between them.

Do the same for numbers 1,2,3 &amp; 4.
Is it possible for 1-5?
5. 17 Jan '03 09:23
For the first bit: 41312432 is a solution. I don't know about the next bit though 🙁