Maths - Problem of the Week E Week 4 (2015) [Year 11 12] {PDF ENG} *Jdrocks21*


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Torrent File Content (2 files)


Problem of the Week E (Week 4 ; 2014-2015) Chess-Bot
     Question.pdf -
194.68 KB

     Solution.pdf -
187.83 KB



Description



 							image

General Info
**********

Problem of the Week E Week 4 Chess Bot for Year 11 and 12 students.

Publisher: University of Waterloo (CEMC)
Published: 2015

Description
**********


The Problem of the Week is designed to provide students with an ongoing opportunity to solve mathematical problems.

Problem
**********


By pressing a button on the bot, Chess-Bot can move forward one square, backwards one square, turn to the right or turn to the left.
Determine: (i) a series of button presses which move the bot from its initial position to its final position in 15 moves or less without moving the chess pieces; and (ii) a series of button presses which move the bot from its initial to its final position in 15 moves or less and moves each chess piece to a different square on the board. (Notice that the final diagram does not include the final position of the two chess pieces for the second part. This was intentionally done so as not to bias your approach to either part of the problem.)

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