| 3. The King ordered his servants to fill up his treasury. Each of the 3 servants, had to go to the treasury, count how much gold coins there was at that moment, and then triple it and leave. But then the King felt sorry for them and thought that he should probably reward the servants in some way, so he let each of them take 1 gold coin out before leaving. Once again the King had a good luck. He collected exactly 500 gold coins in the treasury. How much gold coins did he have before the order? [Solution] |
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4. Insert some parentheses in the expression
24 : 4 + 8 : 2 + 2, so that the result is a) 3; b) 4; c) 5; d) 6. [Solution] |
5. Robinson found himself on an island where some of the people were liars, and others always told the truth. When he met with one of the inhabitant of the island, he asked him: "Are you a liar or not?"
"I'm not a liar", answered the person.
"All right, if it is so, you'll be my companion", Robinson said.
After a while they saw another man.
Robinson pointed to the man and asked his new friend,
"Could you, please, ask him, if he is a liar or not?"
The new friend asked the question to the man, came back and said,
"He said he was not a liar".
"All right, now I'm convinced that you are not a liar!" smiled Robinson. What convinced Robinson? [Solution] |
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| 6. Fill in the empty cases of the square in the picture, so that it becomes a "Magic Square". [Solution] |
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7. Rose, Lily and Jasmine decided to buy flowers for their moms on Mother's Day. One of them bought lilies, the other roses, and the third one jasmines.
"It's funny!" said the girl with roses, "we bought roses, jasmines and lilies, but none of us bought the flowers matching her name".
"You're right!", said Lily.
What kind of flowers did each of the girls buy? [Solution] |
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| 8. There is an incorrect arithmetic expression formed by matches in the picture. Replace one match per digit, so that the expression becomes correct. [Solution] |
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| 9. A problem has been proposed in class. At the end of the lesson it turned out that the number of boys, who had solved the problem, was the same as the number of girls, who had not solved it. Were there more girls in the class than students who had solved the problem? [Solution] |
10. What is the common property of the "red letters" below?
A, B, C, D, E, F, G, H, I, J, K, L, M,
N, O, P, Q, R, S, T, U, V, W, X, Y, Z. [Solution] |
| 11. John decided to start working. He was hired on the following terms: during 30 days, for each day John works, he gets 6 dollars, for each day he doesn't work, he pays back 9 dollars. At the end of the month, when they counted his wages, it turned out that he had not got anything. How many days did John actually work? [Solution] |
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| 12. Cut the figure on the picture into 4 pieces, so that they can form a square. [Solution] |
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13. Smith's boss proposed to pay him in the following way:
"See, there is some money in the purse. Every day I'll add 5 dollars to it, then you'll take out half of what's in it".
Three days later it turned out that there were 6 dollars left in the purse. How much did Smith get for three days' work? [Solution] |
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| 14. Place the numbers from one to nine into the circles on the picture, so that the sum on the extremities of each segment equals the number written near that segment. [Solution] |
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| 15. In the picture some toys (balls, cubs and pyramids) are pended from bars, which are attached by cords. Two of the bars are in equilibrium, and the others are not. Put only one toy instead of ?, so that all the bars come to an equilibrium. [Solution] |
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16."Crossnumber"
Vertical
A. Odd number. B. Number, each digit of which is smaller than the previous one. C. Number, formed of the same digit. D. Number, which is a multiple of 7, 11, 13. E. The sum of all the digits. G. The number of pieces in the game of "Domino". I. Even number. J. Number, the sum of two first digits of which is equal to the sum of the last two digits. L. Number, the product of the first and third digits of which is equal to the product of the second and fourth digits. N. 3 days, expressed in hours. O) Number, the sum of digits of which is equal to the sum of the digits of the number from P. P. The sum of the numbers from I) and A)-vert.
Horizontal
A. One day, expressed in minutes. D. The number of cases on a chessboard. F. Number, composed from consecutive digits. G. Number, the product of digits of which is 0. H. Number, formed from different even digits. J. Number, the sum of the digits of which is 22. K. Number, which is a multiple of 9. M. Number, which is a multiple of 101. O. The product of the numbers from I and K. Q. The difference between the largest four-digit even number and the smallest four-digit odd number. R. The product of five 2 's. [Solution] |
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