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

141. These matchsticks show an arithmetic problem with an answer that is false.

 + or - arithmetic

Can you move one matchstick to make the arithmetic correct?

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


142. The emperor Domitian had a large gladiatorial school, or Ludus Magnus, built next to the Flavian amphitheater, to which it was connected by a subterranean passage. One day a novice found himself in the arena training with four veterans at the same time. Using the diagram and the information given below, match the names of the gladiators with their homelands, weapons, and positions in the arena.


  • The Syrian fighter is armed with a short spear.
  • The man with the battle-axe is not from Gaul.
  • Verus comes from Britannia.
  • Rufus, who is not gladiator A, is armed with a net and trident.
  • Gladiator C is carrying a sword and round shield.
  • Gladiator D, who is named Hermes, is not from Syria.
  • Ferox is not from Thracia.

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


    143. Can you draw this figure of the Olympic rings 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].


    144. Can you draw this hoop-and-stick 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].


    145. Scintilla discovered that she had some honey cakes left over from her Saturnalia banquet, so she decided to divide them among her three nephews. The oldest one received half of the cakes plus half a cake; the middle one received half of what remained plus half a cake; the youngest received half of what remained plus half a cake.

    If no cakes were cut, broken, or divided, how many honey cakes were originally left from the banquet?

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


    146. A pile of 32 pennies contains one counterfeit. It looks exactly the same, but it weighs less. What is the minimum number of times the pennies must be weighed using a balance scale to know for certain which is the counterfeit?

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


    147. 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."

    During the Ludi Piscatorii, a fisherman caught a bass in the Tiber that weighed 10 pounds plus half its weight. How much did the fish weigh?


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


    148. Aulus, Brutus, and Cassius all won bets during a day at the races in the Circus Maximus. Aulus won four times as much as Brutus, who won twice as much as Cassius. If their winnings totaled 66 denarii, how much did each man win?

    Circus Maximus

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


    149. The number of pips on opposite sides of a die always add up to seven, and the pip design is consistent from die to die.

    three dice


    What are the pip counts on the four faces that touch each other on these three Roman dice?

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


    150. Tignarius is an ingenious carpenter. He was able to cut this board into three pieces that can be put together 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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