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 12 candies to be distributed to 4 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 40 inclusively, how many times will the digit "1" be written? 4. A few pieces of wood wii be connected to form a long piece. Each connection needs 3 nails. How many pieces will be connected if 30 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.
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7. A pancake can be made in a pan in 2 minutes with 1 minute 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. Jay had 9 more cents in his piggy bank than Martha had. After Jay exchanged one dime for a nickel with Martha, which of the following is correct? 10. Joe had 28 more cents in his piggy bank than Jessica had. After Joe exchanged one quarter for a dime with Jessica, Jessica is now with more cents than Joe. By how many cent(s) does Jessica have more than Joe now? |