March 2021
Problem of the Month

Pie Thoughts

By using some logic, can you figure out the number that belongs in the unmarked slice of each pie below?













Click here for a printer version of the puzzle

Solution to the Problem:

1.     100 (Numbers in the top of the pie are the squares of the numbers diagonally across from them)

2.     9 (Each quarter of the pie contains two numbers, the second of which, moving clockwise, is half the first)

3.     4 (Numbers directly across from each other are the same)

4.     12 (Each number on the left side of the pie is double the number in its mirror image position on the right)

5.     10 (In each quarter of the pie, the two numbers add up to 17)

6.     21 (the numbers on the right side of the pie are tripled the numbers diagonally across from them)

Veena Mg had a different solution for #5: the answer could be 0 or 12.   Here is her complete solution:

Correctly solved by:

1. Colin (Yowie) Bowey	Beechworth, Victoria, Australia
2. Melih Karabıyık	Kayseri,Turkey
3. Veena Mg	Bangalore, Karnataka, India
4. Kelly Stubblefield	Mobile, Alabama
5. Mrs. Painter’s Honors Precal Class	Broome High School, Spartanburg, South Carolina
6. Rebecca Austin	Kosciusko, Mississippi

Send any comments or questions to: David Pleacher