Interesting Problems( Week 50 Evaluation) 1. A tournament gave prize money for the competitors. The 1st place got half of all the prize money. The 2nd place got half of the remaining prize money. Each of the next placement competitor got half the remaining prize money. If the 5th placement got $1, what was the prize for the 1st place (in dollars)? 2. There are 19 candies to be distributed to 5 kids. Each kid must get at least 2 candies and every one must get a different number of candies than others. Is it possible? 3. If you write down the integers from 1 to 70 inclusively, how many times will the digit "4" be written? 4. A few pieces of wood wii be connected to form a long piece. Each connection needs 2 nails. How many pieces will be connected if 22 nails are used? 5. A pie can be made in a pan in 4 minutes with 2 minutes for each side of the pie. If the pan can make four pies at the same time, at least how many minutes are needed to make 6 pies? 6. Combine all of the numbers and signs in different ways until you make an equation, or number sentence, that equals one of the answer choices. 231××
7. A pancake can be made in a pan in 6 minutes with 3 minutes to cook each side of the pancake. If the pan can make two pancakes at the same time, at least how many minutes are needed to make 3 pancakes? 8. A pie can be made in a pan in 6 minutes with 3 minutes for each side of the pie. If the pan can make two pies at the same time, at least how many minutes are needed to make 5 pies? 9. Eric had 15 more cents in his piggy bank than Mary had. After Eric exchanged one dime for a nickel with Mary, which of the following is correct? 10. Curtis had 27 more cents in his piggy bank than Sofia had. After Curtis exchanged one quarter for a dime with Sofia, Sofia is now with more cents than Curtis. By how many cent(s) does Sofia have more than Curtis now? |