1. An elf makes a Christmas card in the shape of a semi-circle with a radius of 6 inches. He wishes to stick a rectangular picture of 6 inches width and 3 inches height on it, but finds that the picture does not fully fit within the semi-circle.   True   False   2. The elf placed the toy in a rectangular cardboard box. He then covered each of the six faces of the box with either red or green paper. The elf found that neither did two red faces touch each other nor did two green faces.   True   False   3. 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   4. Santa has 47 pairs of red socks and 39 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   5. If a wreath is made from 10 pieces (of flowers and leaves), then 11 ties (knots) will be needed.   True   False   6. Prancer, the reindeer, draws a sleigh 5 blocks west, then 10 blocks south, then 5 blocks east, and finally 5 blocks north. The sleigh is now 5 blocks south from where it started.   True   False   7. Santa Claus gave 10 cookies to the first child, 15 cookies to the second child, 21 cookies to the third child, and 28 cookies to the fourth child. If Santa is following a logical sequence of numbers, then he should give 35 cookies to the fifth child.   True   False