Visualising and representing
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problemAce, Two, Three...
Can you picture how to order the cards to reproduce Charlie's card trick for yourself?
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problemStarting Fibonacci
What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?
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problemCube 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?
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problemTriangular Tantaliser
Draw all the possible distinct triangles on a 4 × 4 dotty grid. Convince me that you have all possible triangles.
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problemFlight of the Flibbins
Blue Flibbins are so jealous of their red partners that they will not leave them on their own with any other bue Flibbin. What is the quickest way of getting the five pairs of Flibbins safely to the new planet?
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problemTurning N Over
A card with the letter N on it is rotated through two different axes. What does the card look like at the end?
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problemBlockupied
A 1×2×3 block is placed on an 8×8 board and rolled several times.... How many squares has it occupied altogether?
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gameKhun Phaen Escapes to Freedom
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.