2002_Solutions_Grades 3-4-2002_Solutions_Levels

2002_Solutions_Levels_3&4

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The document provides solution suggestions for the Math Kangaroo 2002 competition for Levels 3 – 4. It covers answers to 24 math problems, showcasing different problem-solving strategies and explanations for each question. Below are the summaries and problem-solving highlights for some of the questions:<br /><br />1. Problem 2 involves calculating a sequence of additions and subtractions to arrive at a solution of 4.<br />2. Problem 3's solution requires the addition of several numbers to determine the total gifts received, leading to the number 23.<br />3. In Problem 5, logical deduction helps identify which months and days individuals were born, specifically leaving Helena with the date of May 17th.<br />4. Problem 6 calculates the total time, equating 60 minutes per hour to 4200 minutes in the given context.<br />5. Problem 10 uses balanced weights to determine that 6 oranges have the same weight as 1 melon.<br />6. Problem 15 explores geometric arrangements of matches, calculating parts of a triangle and rectangle to conclude a side length of 15.<br />7. Problem 16 utilizes distance calculations, revealing that Miki and Niki finish their paths simultaneously.<br />8. Problem 20 leverages age differences and future projections to solve when a mother will be three times her daughter's age, arriving at 11 years.<br />9. Problem 21 determines the possible combinations of a musical trio, yielding 8 distinct groupings.<br />10. Problem 22 calculates medals produced from large plates, totalling 21 through a series of deductions and iterations.<br /><br />Each solution not only provides the final answer but also explains the reasoning and calculations needed to reach that answer, illustrating the blend of arithmetic, logic, and pattern recognition that characterizes the Math Kangaroo competition.

Keywords

Math Kangaroo 2002

problem-solving strategies

arithmetic

logic

pattern recognition

sequence calculations

geometric arrangements

distance calculations

age differences

combinatorial groupings