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. <strong>Problem 1</strong>: The solution was derived by recognizing the properties of odd and even numbers, leading to option D.<br />   <br />2. <strong>Problem 2</strong>: Focused on shapes contained in circles but not triangles, concluded option B.<br />    <br />3. <strong>Problem 3</strong>: Calculated integers between specified boundaries to find 17 valid numbers, option B.<br /><br />4. <strong>Problem 4</strong>: Concerned palindrome properties and the minimum number of digits to erase, resulting in option C.<br /><br />5. <strong>Problem 5</strong>: Involved deductive placements of items in boxes. The chocolate bar ended up in the white box, option A.<br /><br />6. <strong>Problem 6</strong>: Included angular measurements of geometric figures to find that angle LQM is 105°, option B.<br /><br />7. <strong>Problem 7</strong>: It used fractions of a bridge's length to find its total length at 240 meters, option D.<br /><br />8. <strong>Problem 8</strong>: Involved calculating path lengths using segments of varied lengths, resulting in a length of 420 cm, option C.<br /><br />9. <strong>Problem 9</strong>: Relied on logical reasoning involving pets' numbers to determine relationships, option C.<br /><br />10. <strong>Problem 10</strong>: Required understanding of number formation with match sticks, determining the maximum number represented by 14 match sticks, option E.<br /><br />11. <strong>Problem 11</strong>: Used algebraic number factorization to find divisions in numbers, resulting in six possible solutions, option C.<br /><br />12. <strong>Problem 12</strong>: 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