Top PDF 2017IMAS Second Round Junior Division Full Solutions

2017IMAS Second Round Junior Division Full Solutions

2017IMAS Second Round Junior Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2017IMAS Second Round Junior Division Problems

2017IMAS Second Round Junior Division Problems

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2018IMAS Second Round Junior Division Full Solutions

2018IMAS Second Round Junior Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2014IMAS Second  Round Junior Division Full Solutions

2014IMAS Second Round Junior Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2015IMAS Second  Round Junior Division Full Solutions

2015IMAS Second Round Junior Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2016IMAS Second Round Junior Division Full Solutions

2016IMAS Second Round Junior Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2017IMAS First Round Junior Division Full Solutions

2017IMAS First Round Junior Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2017IMAS Second Round Middle Primary Division Full Solutions

2017IMAS Second Round Middle Primary Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2017IMAS Second Round Upper Primary Division Full Solutions

2017IMAS Second Round Upper Primary Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2016IMAS First Round Junior Division Full Solutions

2016IMAS First Round Junior Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2018IMAS First Round Junior Division Full Solutions

2018IMAS First Round Junior Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2014IMAS First Round Junior Division Full Solutions

2014IMAS First Round Junior Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2015IMAS First Round Junior Division Full Solutions

2015IMAS First Round Junior Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2018IMAS Second Round Middle Primary Division Full Solutions

2018IMAS Second Round Middle Primary Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2018IMAS Second Round Upper Primary Division Full Solutions

2018IMAS Second Round Upper Primary Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2014IMAS Second  Round Middle Primary Division Full Solutions

2014IMAS Second Round Middle Primary Division Full Solutions

By observation, we discover that each of the number in the first set when divided by 3 will give a remainder of 1, each number in the second set when divided by 3 will give a remainder of 2 and each number in the third set when divided by 3 or when each of them is divided by 3 will give a remainder of 0. Hence, according to the meaning of the problem, we must form a three-digit number where the digit in each place is selected from each set and the sum of all the digits formed when divided by 3 will give a remainder of 0, that is; the arrangement of all the three-digit numbers that formulate is always divisible by 3. Hence, we just need to find all those three-digit numbers from the above that are divisible by 2; or the digit in the units place is an even number.
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2014IMAS Second  Round Upper Primary Division Full Solutions

2014IMAS Second Round Upper Primary Division Full Solutions

Answer: 45 number sentences 10. An ant starts from the top left corner square of a 3 5  chessboard. It moves from a square to the adjacent square in the same row or column. After visiting every square exactly once, it ends up at the square in the middle row second column from the right. How many different paths can the ant follow?

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2015IMAS Second  Round Middle Primary Division Full Solutions

2015IMAS Second Round Middle Primary Division Full Solutions

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 is permitted only under license from the Chiuchang Mathematics Foundation.

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2015IMAS Second  Round Upper Primary Division Full Solutions

2015IMAS Second Round Upper Primary Division Full Solutions

Answer: 3600 dollars. 7. The diagram shows a path consisting of four semi-circular arcs. Each arc is of length 100 m and uses a different side of a square as its diameter. Initially, Jane is at A and Yves at B. They start walking counter-clockwise at the same time. Jane’s speed is 120 m per minute and Yves’s is 150 m per minute. Each pauses for 1 second whenever they are at the points A, B, C or D. How many seconds after

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2016IMAS Second Round Middle Primary Division Full Solutions

2016IMAS Second Round Middle Primary Division Full Solutions

Since 2017 1008 1009 1009 1010 = + < + , suppose we take out 1009~2017, which is a total of 1009 numbers, we cannot ensure that there are three balls that will satisfy the given conditions.(10 points) So suppose we take 1010 balls out. Suppose the largest number out of the 1010 balls is M , then the difference between M and the number of other balls taken out has 1009 different values, and both are less than 2017.(5 points) Since there are only 1007 balls that have not been taken out, at least one difference M − x is the number y of the balls taken out, where x is the number of the removed ball. So x, y, x + = y M are taken out of the ball number which satisfies the condition above. (5 points)
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