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Even Odd Prime Square Over 6 Under 7 Triangular Factors of 12 Multiples of 3
The Christmas Toggle Tree has a set of twelve lights which are operated by the buttons above using the toggle principle. For example the 'Even' button changes the state of every even light on the tree. Even lights that are on go off and those that were off come on!
Your challenge is to light up all the lights of the tree by pressing the correct buttons.
There are solutions for each level of this puzzle showing the most efficient ways of lighting up the tree but they are only available to those who have a Transum Subscription.
Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.
Sarah Carter, Twitter
Tuesday, December 6, 2016
Alison Middelkoop, Burnside High School.
Sunday, December 2, 2018
"I would like it if it recorded how many buttons are pressed before getting all lights on, so that students can compete to get the least number of moves.
[Transum: Thanks for your suggestion Alison but you can already see that information recorded if you claim your trophy. The number of button clicks is recorded on the trophy.]"
Transum,
Monday, November 16, 2020
"I received an email saying "It would be useful to know in advance what the minimum number of moves are." So here is that information, the smallest number of button presses to light up the tree at each level:
Level 1: 2 button presses
Level 2: 2 button presses
Level 3: 2 button presses
Level 4: 3 button presses
Level 5: 4 button presses
Levels 6 to 10: 5 button presses."