Puzzles to Puzzle You 1. Farmers and Lambds Six farmers catch six lambs in six minutes. How many farmers will be needed to catch sixty lambs in sixty minutes? No, the answer is not sixty. Try again! Ans: The answer was not 10 either! That is a popular answer, but I'm afraid it is not correct. The right answer is SIX farmers. Let's see why: In the original amount of time: 6 farmers catch 6 lambs in 6 minutes. With 10 times more times: The same 6 farmers catch 60 lambs in 60 minutes. (Give them 10 times as long and they'll catch 10 times as many lambs, assuming they don't get tired!) Another way of seeing the answer is to note that each farmer catches 1 lamb in six minutes. So in 60 minutes each farmer will catch 10 lambs (ten times as many). With 6 farmers, six times as many lambs will be caught. (Now they have caught all those lambs, where are they going to put them?!) From mathsisfun.com 2. True or False? A man is caught on the King's property. He is brought before the King to be punished. The King says, "You must give me a statement. If it is true, you will be killed by lions. If it is false, you will be killed by the trampling of wild buffalo." But in the end, the King has to let the man go. What was the man's statement? Ans: He said, "I will be killed by the trampling of wild buffalo." If you think about it carefully: the King can't say it is true, because if so the man should be killed by the lions. But if he is killed by the lions, then his statement would be false, and so should have been trampled by buffalo. So the King can't tell if it is a lie or truth, so decides to just let him go. 3. Count the number! How many triangles and squares are there in the pictures below? Count them carefully, there need not be all of the same size, and they may be nested within each other, so are more than you think! Ans: 24 triangles and 40 squares.