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2-D number guessing. (Posted on 2013-09-23) Difficulty: 1 of 5
I often play the higher-lower game with my students. I randomly generate a number 1 to 1000 and give a student 10 guesses. After each guess I tell them whether the number is higher or lower. With good mental math skills a student should always win.

This is a new variant:
I pick two numbers from 1 to 1000 and create an ordered pair. The student guesses coordinates and I tell them both (east/west/neither) and (north/south/neither).

How many guesses should I give?

No Solution Yet Submitted by Jer    
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Solution possible solution | Comment 1 of 2
10 guesses will do, the coordinates are independent and may be treated as two skilled students , each providing  a question directed to  "cage" his co-ordinate.
  Posted by Ady TZIDON on 2013-09-23 14:11:14
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