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Fifth Grade Challenging Math


5-71)  Five people go to a meeting. 2 people are from 1 company and 3 are from another. How many hands will they shake if they only shake hands with the people from the other company?



5-72) A wooden fence has posts 1 meter apart with one post on each end.  If the length of the fence is 100 meters, how many posts are there?


5-73) A pool has a circular shaped fence with a circumference of 100 meters. The posts of the fence are 1 meter apart. How many posts are needed?


5-74) Tom is reading a 600 page book. He read 80%. How many pages are left?




5-75) A swimming pool is filled with 1,000 gallons of water. Then 40% of the water is drained out. a) How many gallons are left? b) The next day, 2/3 of the remaining water is drained. How much is left?


5-76) Tom feed his chickens with grains on Sunday. The chickens ate a quarter of what was given to them that day. On Monday, the chickens ate a quarter of what's left on Sunday night. What fraction of the original food was left on Monday night after the chickens went to bed?


5-77) The sum of two integers is 9, and the sum of the squares of these two integers is 41. What is the product of the two integers?




5-78) Josh is 5 feet 1 inch. He grows 2 inches a year in the next 4 years.  How tall will Josh be in two years? Answer in inches.



More challenging math problems for fifth grade: 
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Free challenging math problems for Kids (1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade, 6 grade and 7th grade) 
This site contains first through seventh grade free math problems with answers that help you with math competitions. Brain teasers, hard math problems that you can practice to prepare for math contests or math competitions such as Math Olympiad Contest, Math Super Bowl and Math Counts

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