Trailhead
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27 Cubes
A 9cm cube is to be cut into 27 smaller cubes, each of side length 3cm. This can be done with 6 straight cuts to the original cube: 2 parallel cuts along each...
Unfair Heads and Tails
Player A has n+1 fair coins, while player B has n fair coins. Both players flip all their coins simultaneously and count the number of heads. What is the...
Ant on a Rubber Band
A taut rubber band connects a wall to the back of a toy racecar 1 metre away. At time t = 0 , the racecar drives away from the wall at 1 metre per second,...
The Keyboard Prank
Anne comes into the office to find that her co-workers had played a prank on her. The keycaps on her keyboard had been shuffled such that if she types out a...
100, 10, 1
Your friend, Cole, shows you his first attempt at programming: a calculator that takes in a binary sequence and does an arbitrary computation on it: If the...