1. Can you draw this simple Roman domus without lifting your pencil from the paper and without crossing or retracing any lines?
2. Can you cut a piece of paper (6 cm x 10 cm) in such a way that part A will stand perpendicular to surface B?
3. Can you push a coin through a hole in a piece of paper when the coin is several millimeters larger than the hole?
4. Can you determine which of 20 cells holds your friend who was thrown into the Tullianum? Six different guards give you some information, but one of them lies! Here's what they tell you about the cell:
a. It's an odd number.
5. Out of 100 guests attending a Saturnalia banquet, 85 wore gold fibulae, 75 wore red slippers, 60 had silk stolae, and 90 wore finger rings.
If every guest wore at least three of the accessories, how many guests must have worn all four?
6. What is the sum of adding MCMXLIII and LVII?
7. Falco scratched his head in bewilderment. "There's no way to solve this case, Helena. We know that the murder was committed by one of five people: the cook, the wife, the teacher, the doorkeeper, or the slave-girl. I have three sworn statements, but I don't see how they can all be true." Helena looked at the three statements:
8. An argentarius suspects that 2 of the 7 denarii which he received at his booth that day weigh more than the others. Using a scale, but no weights, what is the minimum number of steps needed for the banker to tell which are the two heavy coins?
9. Which term below will continue the given sequence correctly?
N E V E R
T E X A S
R E L A Y
B A C O N
Hint: When in Rome, do as the Romans do ... count on it!
10. An Arab named Al-jabar attends a Saturnalia banquet where half the guests are Romans and half are foreigners who speak little Latin. Each guest says "Salve!" to the host, and to be polite, says hello to all other guests in their native languages. The host replies "Salve!" to every guest.