# Math Club (May) : Fibonacci Numbers (Patterns, Puzzles and Geometry)

• ##### Week 1

Problems with Fibonacci series

• ##### Week 2

Experiments with Fibonacci series

• ##### Week 3

Previous Challenges and a strategy game!

• ##### Week 4

The Chocolate division and Nim Strategy Game

## Math Club (May) : Fibonacci Numbers (Patterns, Puzzles and Geometry)

### Challenge 1: 15 piece chocolate

In this 2 player game, we have a 15 piece chocolate bar.

– In their turn, a player can break the bar along any of the lines into 2 pieces.
– The next player then breaks any of the pieces further.
– This goes on until a player cannot break a piece into further smaller pieces.
– The player unable to make a move loses the game.

What’s the winning strategy? Should you take the 1st turn or the 2nd turn? Why?

## 6 thoughts on “Challenge 1: 15 piece chocolate”

1. 2nd person will win the game if there is a 15 piece chocolate bar

2. 2’nd person will win because the first person always starts with odd and ends with even number then has to break it down then 2’nd person will make it 1 and 1 and win

3. The Winning strategy is to take the second turn

for all odd number of bars second turn person will win