71. Can you cut and fold a piece of paper (5.5 cm X 9 cm) to form the figure shown without using any other techniques?
72. All roads lead to Rome. Based on the map of Rome and the following information, match the travelers with their routes, day of travel, and home towns.
73. Can you correct this equation by moving only two matchsticks?
74. Trimalchio has eight amphorae of Falernian wine to entertain his dinner guests. He wants to display them on a rack in the triclinium in such a way as to draw attention. Four or nine amphorae could form a square, but the placement of eight is more complicated. Can you help place them so that an even number occurs in each occupied row and column?
75. Julia Major is nine times older than her daughter Julilla, but in nine years, she will be only three times older. How old are the mother and daughter at present?
76. The Roman steelyard (statēra) was a type of balance. It consisted of a scaled arm suspended off center, a hook at the shorter end on which to hang the object being weighed, and a counterbalance at the longer end that could be moved to find the weight.
You are given 3 bags containing an unspecified number of coins in each bag. In two of the bags, the genuine coins weigh 50 grams each. In the remaining bag, each counterfeit coin weighs 55 grams. What is the minimum number of weighing procedures with the statēra that is needed to determine which bag contains the counterfeit coins?
77. Prior to a meeting of the Senate, Gaius Perplexus challenged the assembly with this proposal: "I'll give an amphora of wine to the first citizen who can answer this question correctly."
If Aulus starts at the Rostra and walks toward
78. Complete the puzzle by providing the correct letter to replace the question mark. (Hint: Each letter has a numerical value.)
79. A curious puzzle from the East called sudoku has been brought to Rome. Each row and column should contain one of each of the Roman numerals I-VI. In addition, each of the shapes marked by thicker lines should also contain the Roman numerals I-VI. Are you able to solve this Roman sudoku?
80. Tignarius is an ingenious carpenter. He was able to cut this board into four pieces that are identical in size and shape, each containing a knothole. Can you figure out his plan?