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Card Trick 2

Can you explain how this card trick works?

Painting Cubes

Imagine you have six different colours of paint. You paint a cube using a different colour for each of the six faces. How many different cubes can be painted using the same set of six colours?

Cube Paths

Given a 2 by 2 by 2 skeletal cube with one route `down' the cube. How many routes are there from A to B?

Amazing Card Trick

Age 11 to 14
Challenge Level


cardsMy third holiday to southern Turkey this year was hot, very hot, but great fun and as stunning as ever. Our day trips to local archaeological sites remain amongst the most memorable experiences. The Turkish people are friendly and hospitable and great fun.


Amongst our trips was a second visit to the area around the island of Kekova (Turkey's largest, but quite small, island). The boat trip interspersed swimming and snorkelling with more intellectual activities including a look at the sunken city, views of Lycian tombs, and a trip to the medieval castle at Kaleucagiz. Last but not least, a sharing of card tricks with our tour guide Mehmet. My daughter and I showed Mehmet the Best Card Trick and in exchange he shared the following (amazing card trick) with us. Mehmet not only made the day memorable and enjoyable but left me with the problem of how the trick worked to solve. The mathematics is easy so I hope you will try to get to grips with it...........


Give a full deck of cards to someone in the audience and ask them to shuffle and cut them.

Take the pack face down and count out the first half of the pack, turning them face up onto a pile in front of the member of the audience.

When you have done this - pick up the 26 cards and place them face down back at the bottom of the pile you have in your hand.

Take three cards from the top of the pack and place them face up on the table. Then add enough cards to each (all face down) to make a total of 10.

So, if you turn up the 3, K and 8 you would put seven cards face down below the 3 (as you count from 3, 4, 5, 6, 7, 8, 9, 10), none below the K (since this already has a value of 10), and two cards face down below the 8 (as you count from 8, 9, 10).

The three cards showing (face up) on the table are the 3, K and 8, making a total value of 3+10+8 = 21.

You should now be able to predict the 21st card down the rest of the pack sitting in your hand .

"And the 21st card will be..."

How is it possible to predict this card no matter what the three cards you turn over are?


Watch Charlie and Alison performing the Amazing Card Trick: