This numerical expression is a limerick. Translate each number into an English word it commonly represents, and the expression will scan perfectly into the rhythm of a limerick. There are several possibilities for translating each line, but be very fussy about the scanning.
A chessboard is composed of 64 small squares arranged in an 8×8 large square. A domino laid on the board will cover two of those squares. Therefore 32 dominoes can be laid out on the chessboard to cover all 64 squares. Suppose that you cut out two squares from the chessboard at diagonally opposite corners. Now there are 62 squares. Is it possible to arrange 31 dominoes to cover these 62 squares? Discuss and explain your answer. (Hint: Look closely at a real chessboard.)
How many times do the two hands of a clock overlap between 6:00 in the
morning and 6:00 that evening?
Look hard at these two spirals. Are they the same or are they different? (One is bigger than the other, but that doesn’t count.)
