Codes and Hidden Meaning - March 2004, Stage 3&4

Problems

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Star Sum

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 40 - 2011
You may have seen magic squares before, but can you work out the missing numbers on this magic star?

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Wiggly Conversions

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 42 - 2011
Four wiggles equal three woggles. Two woggles equal five waggles. Six waggles equal one wuggle. Using these, can you work out which of four values is the smallest?

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Inspector Morse

Stage: 3 Challenge Level: Challenge Level:1

You may like to read the article on Morse code before attempting this question. Morse's letter analysis was done over 150 years ago, so might there be a better allocation of symbols today?

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Brailler

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

The machine I use to produce Braille messages is faulty and one of the pins that makes a raised dot is not working. I typed a short message in Braille. Can you work out what it really says?

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N Is a Number

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

N people visit their friends staying N kilometres along the coast. Some walk along the cliff path at N km an hour, the rest go by car. How long is the road?

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Anti-magic Square

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 44 - 2011
You have already used Magic Squares, now meet an Anti-Magic Square. Its properties are slightly different, but can you still solve it...

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Partial Magic

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 41 - 2011
This magic square has only been partially completed. Can you still solve it...

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The Queen of Hearts

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 33 - 2011
The Queen of Hearts has lost her tarts! She asks each knave if he has eaten them, but how many of them are honest...

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Smith and Jones

Stage: 4 Challenge Level: Challenge Level:1

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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Knapsack

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

You have worked out a secret code with a friend. Every letter in the alphabet can be represented by a binary value.

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Guesswork

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.