Fifth Grade Challenging Math

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5-51) Jose cuts a piece of rope into half. He then cuts one of the pieces into half. He again cuts one of the smallest piece into half.  After the 3rd cut, the smallest piece of rope is 3 inches long. What was the length of the rope before Jose made any cuts?

5-52)  Kate reads 10 pages in 5 minutes. How many pages can she read in 60 minutes? Assume her reading speed is same for all pages she reads.

5-53) It takes a hen 4 minutes to eat 2 ounces of grain. How much grain can the hen eat in 14 minutes?

5-54) What is the maximum number of Sundays there are in a month?

5-55)  What is the maximum number of Sundays there are in 2 consecutive months?

5-56) A metal sheet is 30 x 40 inches. To make an open top box, 4 corners are cut off as shown in the figure. The pieces cut off are 3 x 3 inches. The 4 sides are folded to make an open top box. What is the volume of the box?

5-57) A metal sheet is 30 x 40 inches. To make an open top box, 4 corners are cut off. The pieces cut off are 6 x 6 inch squares. The 4 sides are folded to make an open top box. What is the volume of the box?

5-58) A long distance runner in training takes water breaks from time to time. At half way point, she takes a water break. She then takes another water break after she reaches mid point of the remaining course. At this point, she has 5 more miles to go. What is the total distance she runs?

5-59)  One banana and one peach weigh the same as 14 strawberries. Two peaches weigh the same as 10 strawberries. How much does a banana weigh compared to strawberries?

5-60)  It was a dark and stormy night in London in 1905. A traveler named Maxwell lost his wallet and walked to a hotel. He asked the hotel manager if he could pay with his gold chain that consists of 7 rings linked together. The hotel manager looked at his chain and said: "Yes, one gold ring per night. I have a wire cutter to separate the chain." Maxwell said: “Great, I will stay for 7 nights.”

a) What is the minimum number of gold rings Maxwell needs to cut to pay for the hotel ONE ring per night for 7 nights?

b. If Maxwell can get change (in rings ) from the hotel each night (i.e. pay 1 ring one night and the next night pay 2 rings, and get 1 ring back the second night, resulting in 2 rings paid for 2 nights), What is the minimum number of rings he needs to cut?

More challenging math problems for fifth grade: 
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