[PDF] Top 20 2018IMAS First Round Upper Primary Division Full Solutions

... Totally there are 20  20 8 4 1 53     isosceles right triangles. Hence (E). Answer： （E） 21. Mike constructs a sequence in the following way: the first two terms are 1 and 2. Starting from the third term, each ... See full document

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... 【Solution】 If there is no carry when the number is added by 1, sum of digits increases by 1, contradiction to that both sum of digits are divided by 4. If there is a carry, the last digit is 9. Since the sum of all ... See full document

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... the first 2014 terms in the sequence, there are 335 complete periods with an incomplete period of four remaining ...The first time both are back together at the marked line, Max has completed 3 ... See full document

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... (5 points) Construct 90 codes as follows: the first two digits take 10 to 99, once for each; the third digit equals the last digit of sum of first two digits. (5 points) Next, we show that such set of codes ... See full document

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... If there are less than 4 rows with pieces more than 1, covering 4 rows with the most pieces will leave all remaining row each contains no more than one piece. The remaining pieces can be covered by 4 columns, ... See full document

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... 【Suggested Solution】 First take away one bottle of each kind, so that the relevant total capacity is now reduced to 16. If we use an equal number of 0.4 L bottles and 0.6 L bottles, the number of 0.6 L bottles can ... See full document

... 10. Alex and Charles both sent parcels of weight exceeding 10 kg . The postage rates Alex and Charles were both sending parcels. The postage rates are as follows: For the first 10 kg and below, the postage price ... See full document

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... 【Note】By symmetry property of a diagram, We just need to count the number of sides of the upper half and then be multiplied by 2. 6. Thirty students numbered from 1 to 30 stand in a row. The teacher announces, ... See full document

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... 【Solution】 Focusing on the four circles in the triangle area. Color the six circles in a specific sequence. Firstly, there are 4 ways to color the top circle. Secondly, there are three ways to color the circle right ... See full document

... Notice: Individual students, nonprofit libraries, or schools are permitted to make fair use of the papers and its solutions. Republication, systematic copying, or multiple reproduction of any part of this material ... See full document

... Notice: Individual students, nonprofit libraries, or schools are permitted to make fair use of the papers and its solutions. Republication, systematic copying, or multiple reproduction of any part of this material ... See full document

... Notice: Individual students, nonprofit libraries, or schools are permitted to make fair use of the papers and its solutions. Republication, systematic copying, or multiple reproduction of any part of this material ... See full document