1. A farm in Syberland is in the shape of a regular polygon with 10 sides. It is possible to divide the farm equally amongst 10 elves by building 5 straight fences.   True   False   2. Santa has 30 pairs of red socks and 30 pairs of white socks in his big sack. If Santa picks out 3 socks at random from his sack, he is certain to get a matching pair.   True   False   3. If a wreath is made from 7 pieces (of flowers and leaves), then 8 ties (knots) will be needed.   True   False   4. It's Christmas time and 7 children are playing in the snow. If each child throws one snowball at every other child, then the total number of snowballs thrown is 42.   True   False   5. The elf entered the workshop at six o'clock. He turned the clock upside down and found the hour hand pointing downward.   True   False   6. Santa Claus looked at his reflection in the lake. His sack was over his right shoulder. In the reflection, the sack was over the left shoulder.   True   False   7. Santa Claus had two left-handed green gloves and no right-handed gloves. On turning the left-handed glove inside-out, he found he could wear it on his right hand.   True   False