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 3rd placement got $3, what was the prize for the 1st place (in dollars)? 2. There are 13 candies to be distributed to 5 kids. Each kid must get at least 1 candy 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 "6" 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 20 nails are used? 5. A pie can be made in a pan in 2 minutes with 1 minute 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.
213××
7. A pancake can be made in a pan in 4 minutes with 2 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 4 minutes with 2 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. Larry had 9 more cents in his piggy bank than Morgan had. After Larry exchanged one dime for a nickel with Morgan, which of the following is correct? 10. Tom had 29 more cents in his piggy bank than Jane had. After Tom exchanged one quarter for a dime with Jane, Jane is now with more cents than Tom. By how many cent(s) does Jane have more than Tom now? |