Solve the A4 Sheet Folding Puzzle!

  • Context: High School 
  • Thread starter Thread starter Kazza_765
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SUMMARY

The A4 Sheet Folding Puzzle challenges participants to fold a sheet of paper in such a way that the numbers 1 through 8 are arranged in sequential order when the paper is folded. The puzzle, originally presented to grade 2 students, has proven difficult for many, including teachers. However, some individuals have successfully solved it in under two minutes by strategically planning their folds. The discussion highlights the simplicity of the solution once the initial folding technique is understood.

PREREQUISITES
  • Understanding of basic origami folding techniques
  • Familiarity with sequential ordering concepts
  • Problem-solving skills in mathematical puzzles
  • Ability to visualize spatial arrangements
NEXT STEPS
  • Research advanced origami techniques for complex folding puzzles
  • Explore mathematical concepts related to permutations and combinations
  • Learn about the 8 Queens puzzle and its solutions
  • Investigate other paper folding puzzles and their strategies
USEFUL FOR

This discussion is beneficial for educators, puzzle enthusiasts, and anyone interested in enhancing their problem-solving skills through mathematical challenges.

Kazza_765
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In year 12 my maths teacher gave the class this puzzle. The idea is to fold an A4 sheet of paper, along the lines, such that the numbers are in order. Just to make it clear, the numbers don't have to be in order as you unfold it or anything, but when folded the rectangle of paper directly underneath "1" has "2" on it, and directly underneath "2" has "3" on it etc. He hadn't been able to solve it himself and none of his classes could solve it. It took me about 20 mins to get it but I think some people may get it straight away. It came from a problem book for grade 2 students.

http://www.ourhouse.co.nr/puzzle.jpg
 
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Seems pretty easy to me, took me about 2 minutes. Just had to figure out how to start folding it so that you can tuck those 2 numbers between those other numbers. About as easy as the 8 queens puzzle. Try this one.

http://www.killsometime.com/games/game.asp?Game=8Queens
 
Did it, took less than a minute.
 

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