2013-14 Problems

3rd and 4th graders

March, 2014

Please, send your solutions in by April 30, 2014.

 
A.961. Two Munchkins, Smidgen and Midgen, were picking mushrooms in the forest. Smidgen picked 53 more mushrooms than Midgen. On the way home Smidgen gave 28 mushrooms to Midgen. Now who has more mushrooms and how much more?

A.962. 5 people wish to form pairs and play a card game called Bridge. How many games are needed so that all possible teams play each other?

A.963. The Munchkin girls, Tiny and Miny, are sewing hats. They put the finished hats, which are either red, blue, green, or yellow, in the same color boxes as the hats. Every box has already at least three hats, the red box has even more than 10 hats, but none of the boxes has more than 20 hats. How many hats could the two girls possible make already?

A.964. The Mayor of Munchkin City is putting new tiles on his 4 tile by 4 tile sized balcony. He wants to use 4 green and 12 yellow tiles so that every row, every column and every diagonal has only one green tile in it. How many different ways can he do this?

A.965. In Munchkin Land they picked this week's winning numbers on the 5-number lottery. (They picked 5 numbers out of the numbers from 1 to 90.) The sum of any two of these 5 numbers is an even number.

a) At least how many odd numbers can there be among the 5 winning numbers?
b) How many odd numbers can there be among the 5 winning numbers at most?
c) At least how many even numbers can there be among the 5 winning numbers?
d) How many even numbers can there be among the 5 winning numbers at most?

A.966. On Sunday morning, the Chief Gardener of Munchkin City planted a beautiful plant in front of the City Hall. Every day, starting this Sunday already, at noon the plant brings 5 new flowers. A few days later somebody counted 145 flowers on the plant. What day of the week could that be?

A.967. On a vacation 7 times rained either before noon or after noon. If it rained before noon, then it did not rain after noon. 5 times it did not rain before noon, and 6 times it did not rain after noon. How many days long was this vacation?

A.968. On Minny Miny's birthday party the garden is decorated with red, green, yellow and blue helium balloons. There is a different number of each color balloon. There are a total of 5 red and blue. There are a total of 8 blue and green. There is the least number of blue balloons, and the yellow balloons have the highest number of them. There are a total of 19 balloons in the garden. How many balloons are there from each color?

Please, send your solutions here.

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