Working systematically
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problemThere is nothing half so much worth doing as simply messing about in boats... -
problemFavouriteCrossing the Bridge
Four friends must cross a bridge. How can they all cross it in just 17 minutes?
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problemInstant Insanity
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated.
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problemLogo Challenge - Pentagram Pylons
Pentagram Pylons - can you elegantly recreate them? Or, the European flag in LOGO - what poses the greater problem?
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problemLogo Challenge - Sequences and Pentagrams
Explore this how this program produces the sequences it does. What are you controlling when you change the values of the variables?
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problemLogo Challenge - Following On
Remember that you want someone following behind you to see where you went. Can yo work out how these patterns were created and recreate them?
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problemFavouriteChances Are
Which of these games would you play to give yourself the best possible chance of winning a prize?
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problemSmith and Jones
Mr Smith and Mr Jones are two maths teachers. By asking questions, the answers to which may be right or wrong, Mr Jones is able to find the number of the house Mr Smith lives in... Or not!
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problemFavouriteThe Better Choice
Here are two games you can play. Which offers the better chance of winning?
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problemFavouriteWarmsnug Double Glazing
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?