SNAP Mathfairs
  • Home
  • Guidelines
  • Organizing
    • Organizing & Preparing for the Fair
    • Choosing a Theme
    • Different Types of Displays
    • Some Typical Projects
    • Who to Invite
    • Optional Timelines
    • Math Fair Club
  • Grading
    • Assessment Checklist (Grade 7)
    • Evaluation Guidelines (Grade 9)
    • Rubric for a Math Fair (Grade 12)
    • Marking Guide (Grades 5 and 6)
    • Math Fair Club Evaluation (Grades 4 and 5)
  • Resources & Contacts
    • Puzzle Sources
    • Contacts
    • Workshops and Conferences
  • Puzzles
    • Level 1 Puzzles >
      • Spoke Sum
      • Number Wheel
      • Buggy Jump
      • 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

Four Skyscraper Puzzles

Picture
Picture
In a town there are 16 skyscrapers on a four-by-four grid. In each row or column, the buildings range in height from 1 story to 4 stories.


If you stand outside the grid and look down a row (or column), a skyscraper in that row will be hidden from view if there is a taller one in front of it. In the picture on the left, you could see two skyscrapers if you were standing at one end of the row and and three skyscrapers if you were standing at the other end.
Picture
The four pictures above represent four different towns, the numbers outside the grids tell how many skyscrapers you can see when you look in that direction down the row or column.

For each of these four puzzles, you are asked to determine the height (in stories) of each of the skyscrapers. In two of the puzzles, the height of some of the skyscrapers is known.