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Μαθηματικοί Διαγωνισμοί
Τετάρτη 30 Νοεμβρίου 2011
Κυριακή 20 Νοεμβρίου 2011
Σάββατο 19 Νοεμβρίου 2011
Midpoints
In the figure below, AB is 20cm. B is the midpoint of AC, C is the midpoint of BD and D is the midpoint of BE. What is the length of AE?
Tim and Cory
Tim had 1060 € more than Cory. After Tim gave $\dfrac{4}{9}$ of his money to Cory, they each had the same amount of money. How much money did Cory have at first?
Chocolates and sweets
Henry bought some chocolates and gave half of them to Wen Jie. Wen Jie bought some sweets and gave half of them to Henry. Henry ate 15 sweets and Wen Jie ate 18 chocolates. After that, the number of sweets and chocolates Henry had were in the ratio 1:7 and the number of sweets and chocolates Wen Jie had were in the ratio of 1:4. How many sweets did Wen Jie buy?
Two tanks
Two rectangular tanks are shown below. At first tank A was empty and $\dfrac{1}{4}$ of tank B was filled with water. Two taps were turned on at the same time and water from both taps flowed at the same rate of 1.5 litres per minute in every tank. How long did it take for the height of water to be the same in both tanks? (1 litres = 1000cm³)