Mr. Bowen's Fifth Grade
918-357-6721
  • Home
  • Distance Learning
  • Updates
  • Curriculum
    • Math >
      • Hands-On Equations
      • Oklahoma Focus Supplemental Lessons
      • Chapter 1: Place Value
      • Chapter 2: Multiply Whole Numbers
      • Chapter 3: Divide by a One-Digit Divisor
      • Chapter 4: Divide by a Two-Digit Divisor
      • Chapter 5: Add and Subtract Decimals
      • Chapter 6: Multiply and Divide Decimals
      • Chapter 7: Expressions and Patterns
      • Chapter 8: Fractions and Decimals
      • Chapter 9: Add and Subtract Fractions
      • Chapter 10: Multiply and Divide Fractions
      • Chapter 11: Measurement
      • Chapter 12: Geometry
      • Facts Master
      • Math Skills Practice
    • Social Studies >
      • Chapter 1: America's Land
      • Chapter 2: Early Americans
      • Chapter 3: The Age of Exploration
      • Chapter 4: European Settlements
      • Chapter 5: New England Colonies
      • Chapter 6: Middle and Southern Colonies
      • Chapter 7: Causes of the Revolution
      • Chapter 8: The War For Independence
      • Chapter 9: Creating A New Nation
    • Reading >
      • Reading Skills Practice
      • "Just Right" Books
      • Book Reviews
      • Scholastic Book Orders
    • Language Arts >
      • Writing
      • Language Arts Skills Practice
    • Science >
      • Scientific Method
      • Physical Science
      • Earth/Space Science
      • Life Science
      • Project Lead the Way (PLTW)
  • Enrichment
    • HandsOnEquations
    • Challenge Math
    • Desmos
    • 6th Grade Accelerated Math
  • Math Club
  • Robotics Club
  • Academic Team
  • Class Information
  • Contact
  • Links

The Guessing Game

6/12/2019

0 Comments

 
Nine cards, each uniquely marked with a single-digit from 1 to 9, are randomly dealt to three players, each player receiving three cards. Every player sees his own cards, but is unaware of the cards in other players' hands.

Each player declares the sum of the three cards in his own hands. Based upon this information, the players try to guess the cards in their opponents' hands.

Imagine players A, B, and C play this game, and the following conversation ensues:

A: The sum of my cards is 14.
B: The sum of my cards is 15.
C. The sum of my cards, obviously, is 16.
A. I can't guess any card in B's hand.
B. I can't guess any card in C's hand.
C. I know the cards in everyone's hands.

​What are the cards in player B's hand? Explain your reasoning.
0 Comments

Your comment will be posted after it is approved.


Leave a Reply.

    Challenge Math

    Rules for Comments:
    1. First names only.
    2. Stay on topic.
    ​3. Explain your thinking.

    Archives

    June 2019

    Categories

    All
    Area
    Challenge Problems
    Circles
    Guess And Check
    Logic
    Number Sense
    Pi
    Polygons
    Prime Numbers
    Puzzles
    Real World Math
    That's Interesting!

Powered by Create your own unique website with customizable templates.