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Lesson 1

1. Lesson 1

1.4. Explore 3

Mathematics 30-2 Module 1

Module 1: Logic and Set Theory

 

In the next Try This activity you will use numerical reasoning to solve puzzles. If you don’t solve the puzzle one way, try another strategy!

 

Try This 3
  1. Place the numbers 2, 2, 2, 3, 3, 3, 4, 4, and 4 in a three-by-three grid like the following so that when any line of three numbers is added up in any direction, including diagonally, the sum is always 9. Explain the strategy that you used to solve this puzzle.

         
         
         

  2. Kenton tried to solve the following puzzle:

    Use the numbers 1 to 9 in each circle of the triangle so that the four numbers along each edge add up to the same total.

    This shows nine circles arranged in the shape of a triangle.

    Kenton's solution to the puzzle is shown. Explain if Kenton’s solution is correct.

    This shows nine circles arranged in the shape of a triangle. In clockwise order, the numbers are 6, 7, 3, 5, 2, 8, 4, 1, and 9.

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