Math competition "Kangaroo" - 2004 - Minor - Lithuania

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How much is 2001 + 2002 + 2003 + 2004 + 2005? 

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Jerome was 4 years old when his sister was born. Today he blows out 9 birthday candles. What is the age difference between him and his sister?

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In the picture below you can see a road from town M to town N (a solid line) and a detour (a dashed line) of segment K L, which is under repair. How many more kilometers does one have to travel from M to N using the detour?
 

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There were some swallows on a telegraph line. АН at once 5 of them flew away, and a while later 3 swallows came back. Then there were 12 swallows on the line. How many swallows were there on the line at the very beginning?

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Which numbers are written in the area that belongs to the rectangle and to the circle but doesn't belong to the triangle?
 

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How many white squares must you paint grey so that the number of grey squares is exactly half that of the white sąuares?
 

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Mary and Peter's classmates are standing in line. Mary has 16 students in back of her, including Peter. Peter has 14 students in front of him including Mary. Between Mary and Peter there are 7 students. How many students are there, altogether, in Mary and Peter's class?

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Which of the rectangles A to E сап be covered by the pattern on the right-hand side in such a way that the result is a totally black rectangle?
 

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The weight of 3 apples and 2 oranges is 255 g. The weight of 2 apples and 3 oranges is 285 g. Each apple has the same weight, and each orange has the same weight. What is the weight in grams of 1 apple and 1 orange together?

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In this picture there is what I saw on four different clocks at the same time. Only one of them had the right time. One was 20 minutes fast. Another 20 minutes slow. One had stopped some time ago.

What was the right time?

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Gabriella brought Joseph a basket of apples and oranges. Joseph ate half of all the apples and one third of all the oranges. How much of the fruit could still be left in the basket?

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A cube (on the right) is colored in three colors so that each face has exactly one color and the opposite face has the same color. Which of the following developments is the development of this cube?
 

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Karen has found an old book with some missing pages. On a left-hand page the page number is 24, and the following right-hand page is numbered 45. How many leaves are missing in between?

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Ruby is 52 days older than her classmate Irenę. Last year Ruby celebrated her birthday on a Tuesday in March. On which day of the week did Irenę celebrate her birthday last year?

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Which difference is not equal to 671 - 389?

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Inside each of the four squares of a 2 x 2 grid there is a number. If the sum of the numbers of the first line is 3, the sum of the numbers of the second line is 8, and the sum of the numbers of the first column is 4, what is the sum of the numbers in the second column?

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This figurę is made of squares. What is the side of the biggest square?
 


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Robert has 147 euros, and Lisa has 57 euros. How many euros must Robert give to Lisa so that Robert has twice as much as Lisa?

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There are five houses on Color Street: a blue, a red, a yellow, a pink, and a green one. The houses are numbered from 1 to 5 (see picture). The red house is the neighbor of the blue house only. The blue house stands between the green and red houses.

Which color is the house with number 3?

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The sum of the digits of a ten-digit number is equal to 9. What is the product of the digits of this number?

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A large cube consists of 125 smali black and white cubes, such that any two adjacent faces of the small cubes have different colors, the corner cubes being black. How many small black cubes are used?


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One lottery ticket costs 4 euros. Three boys - Paul, Peter, and Robert - pooled their money for two tickets. Paul gave 1 euro, Peter - 3 euros, Robert - 4 euros. One of the tickets they bought won 1000 euros. The boys shared the prize fairly, i.е., according to how much money each of them had contributed. How many euros did Peter get?

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After three games of the soccer championship, Platypus United has scored three goals and let one past them. They get three points for a win, one point for a draw, and no points for a loss. How many points can they not have right now?

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This is a multiplication table. Which two letters represent the same number?
 

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