The answer key was updated this weekend, so you should now see "(answer removed)" as the correct answer for the 6-bit number system. For the question about the longest tail on the dog, the answer is (answer removed). The 5 bits in binary are "(answer removed)", which converts to (answer removed) in decimal. The second half of the bit stream (number of spoons balanced on the face) is "(answer removed)" or (answer removed).
You're the second person who's asked about the tail on the dog question in the past few days, so if I'm missing something, please let me know.
That's great that the kids were able to make that connection. Those are the best moments!