SNAP Mathfairs
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    • Organizing & Preparing for the Fair
    • Choosing a Theme
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    • Some Typical Projects
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  • Grading
    • Assessment Checklist (Grade 7)
    • Evaluation Guidelines (Grade 9)
    • Rubric for a Math Fair (Grade 12)
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  • Puzzles
    • Level 1 Puzzles >
      • Spoke Sum
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      • Pyramid
      • Nine Men in a Trench
      • Star Jump
      • Circle Jump
      • Circle Jump II
      • Four Cottages
      • Free the Animals
      • Sam's House
      • About the Solutions
      • Solutions - Level 1
    • Level 2 Puzzles >
      • Neighbourhood Sums
      • Eight Squares
      • Soko Puzzle I
      • Soko Puzzle II
      • Abdication
      • Regime Change
      • Stairways to Heaven
      • Catacombs
      • About the Solutions
    • River Crossing Puzzles >
      • The fox, the goose, and the grain
      • The fox, the goose, and the grain, and the dog
      • The mouse, the elephant, the dog, and the cat
      • Soldiers and children
      • Animal Crossing
      • The Three Thieves
      • The Missionaries and the Cannibals
      • Quarrelsome Boys
      • Jealous husbands
      • A Handful for the Farmer
      • The farmer, his children, and their pets
      • About the Solutions
    • Sudoku-Type Puzzles >
      • Cats, Cows, and Pigs
      • Latin Squares
      • Apple and Bananas I
      • Apple and Bananas II
      • Apple, Bananas, and Cherries
      • Four Skyscraper Puzzles
      • Colourful Cats and Pigs I
      • Colourful Cats and Pigs II
      • The Wizard's Hats
      • Four Colours
      • About the Solutions
    • Other Puzzles >
      • Catch the Thief
      • Cherry Glasses
      • Coin Jumping I
      • Coin Jumping II
      • Evensies
      • The 22 Game
      • Switch Positions
      • Spellbound Frogs
      • The Die Hard Jugs
      • About the Solutions
    • About the Solutions
  • About SNAP
    • Our Mandate
    • Our Supporters
    • Who Are We?
    • Curriculum Connections
    • The SNAP Approach and "Inquiry-Based Learning"
    • Some History
  • Gallery

The Wizard's Hat

Picture
A lady wizard has sixteen different hats. Four hats are yellow, four are red, four are blue, and four are green. Four hats have a plus sign on them, four have a minus sign, four have a multiplication sign, and four have a division sign (she's a math wizard). No two hats of the same colour have the same sign on them.
Picture
She has a special packing crate with sixteen compartments to store the hats. The compartments form four rows and four columns. When she packs the crate she puts one hat in each compartment in such a way that every row and column has four different coloured hats and four different arithmetic signs.

She has started to put the hats in the crate. The picture shows where she has put four of the hats. Can you finish packing the crate for her?

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