2009_Solutions_Grades 5-6-2009_Solutions_Levels

2009_Solutions_Levels_5&6

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The Math Kangaroo 2009 competition offers a variety of mathematical problems involving deductions, calculations, and logical reasoning. Here is a summary of solutions for some of the problems from the contest:<br /><br />1. **Problem 1**: The solution was derived by recognizing the properties of odd and even numbers, leading to option D.<br />   <br />2. **Problem 2**: Focused on shapes contained in circles but not triangles, concluded option B.<br />    <br />3. **Problem 3**: Calculated integers between specified boundaries to find 17 valid numbers, option B.<br /><br />4. **Problem 4**: Concerned palindrome properties and the minimum number of digits to erase, resulting in option C.<br /><br />5. **Problem 5**: Involved deductive placements of items in boxes. The chocolate bar ended up in the white box, option A.<br /><br />6. **Problem 6**: Included angular measurements of geometric figures to find that angle LQM is 105°, option B.<br /><br />7. **Problem 7**: It used fractions of a bridge's length to find its total length at 240 meters, option D.<br /><br />8. **Problem 8**: Involved calculating path lengths using segments of varied lengths, resulting in a length of 420 cm, option C.<br /><br />9. **Problem 9**: Relied on logical reasoning involving pets' numbers to determine relationships, option C.<br /><br />10. **Problem 10**: Required understanding of number formation with match sticks, determining the maximum number represented by 14 match sticks, option E.<br /><br />11. **Problem 11**: Used algebraic number factorization to find divisions in numbers, resulting in six possible solutions, option C.<br /><br />12. **Problem 12**: Calculated areas of geometric constructions leading to towered quadrilaterals to find value 48, option C.<br /><br />Most problems involve either direct calculations using mathematical formulas or logical deductions from given setups, highlighting typical Math Kangaroo questions' challenge and problem-solving demands.

Keywords

Math Kangaroo 2009

mathematical problems

odd and even numbers

shapes in circles

palindrome properties

deductive placements

angular measurements

fractions of bridge

path lengths

number formation