Design and Do XII
This challenge contains 10 logic and reason items.

111. Six matches can be arranged to create a regular hexagon.

hexagon

With the addition of three more matches, can you arrange another regular six-sided figure?

When you have a solution and want to verify it, click [CHECK].




112. The main Roman currency during most of the Roman Republic consisted of coins including the gold aureus, the silver denarius, the brass sestertius, the bronze dupondius, and the copper as. Based on the chart on the right and the following information, match the coins with their correct names, the portraits on the obverse side, the devices on the reverse side, and the metals that compose them.

  • No female portrait appears on the gold or bronze coins.
  • The coin with Janus bears a ship prow on the reverse.
  • The reverse of coin A has the Dioscuri; the obverse is not Nero.
  • The reverse of the coin with Vespasian is not a ship prow.
  • The reverse of the gold coin shows a charging bull.
  • The copper coin is below the one whose reverse shows a market.
  • Nero appears on a coin above the one with Augustus.
  • The coin with Roma is either silver or brass; the reverse is not
        a laurel crown.


  • When you have a solution and want to verify it, click [CHECK].


    113. Dionysus poses a challenge to you. Can you draw this figure of a grape cluster and leaf without lifting your pencil from the paper, retracing any lines, or crossing them?

    When you have a solution and want to verify it, click [CHECK].


    114. Can you draw this figure without lifting your pencil from the paper, retracing any lines, or crossing them?

    When you have a solution and want to verify it, click [CHECK].


    115. A generous Roman patron set aside a certain sum of money each week for equal distribution to his clients. One day he remarked "If there are five fewer clients next week, you will each receive two more sestertii." Unfortunately, there were four more clients the next week, so each received one sestertius less than before.

    dole

    How much did each client receive at the last weekly dole?


    When you have a solution and want to verify it, click [CHECK].


    116. An argentarius suspects that 1 of the 12 denarii which he received at his booth that day is counterfeit, but he is not sure if it weighs too much or too little.. Using a scale, but no weights, what is the minimum number of steps needed for the banker to tell which coin is counterfeit and whether it is too heavy or too light?

    When you have a solution and want to verify it, click [CHECK].


    117. 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."

    How is it possible to take one away from nineteen and leave twenty?


    When you have a solution and want to verify it, click [CHECK].


    118. A wine merchant died and left the inventory of his taberna to be divided equally among his three sons. Seven of the amphorae were full, seven were half-full, and seven were empty. How can they be divided so that each son receives the same number of amphorae and the same amount of wine without changing their contents?

    amphora

    When you have a solution and want to verify it, click [CHECK].


    119. 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?

    When you have a solution and want to verify it, click [CHECK].


    120. Tignarius is an ingenious carpenter. He cut a six-pointed star into five pieces that could be reassembled to form a perfect square. Can you figure out his plan?

    When you have a solution and want to verify it, click [CHECK].

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