Intergalactic Adventure Challenge 6

Ready for another mathematical adventure? Complete your Intergalactic Passport Application Form and prepare for a journey to the Planet Turasmara.

Created by Scottish Mathematical Council

Ic434

Ready for another mathematical adventure? Complete your Intergalactic Passport Application Form and prepare for a journey to the Planet Turasmara.

Welcome to the planet Turasmara, a distant planet with much intelligent life far, far away in another Galaxy. Turasmara is very proud of its eco-friendly traditions, but all of their supplies are transported by intergalactic spacecraft which uses a lot of fuel.

They are looking for some Eco Champions to use their mathematical skills to help lessen the impact on their environment.

Challenge 6: Last Card Café


One of the pastimes at the Our World Café/Diner is a game called LAST CARD.

If you’re going to dine here you need to learn to play.

You will need 16 cards (numbered 1-16).

Let’s start with JUST the first 4 for now.

Take the cards numbered 1 to 4 only and arrange them in order with the 1 face up on top... then 2 ... then 3 ... finally 4.

Now:

•Move the top card to the bottom of the pack.

•Discard the next card.

•Move the new top card to the bottom of the pack.

•Discard the next card.

•Continue like this until you are left with only one card.

What is the number on that card? This is the LAST CARD.

Now try the same with 5 cards (1-5 in order). What do you notice?

Try some different numbers. Can you predict the number of your LAST CARD?

Challenge!

What number would be on the LAST CARD if there were 16 cards?.

If you found that easy ... if there were 100 cards, what would be the LAST CARD?!


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