2001_Solutions_Grades 5-6-2001_Solutions_Levels

2001_Solutions_Levels_5&6

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The document is a set of solutions for the Math Kangaroo 2001 competition held in the USA. It provides detailed explanations and answers to each question, numbered from 1 to 30. Below is a brief summary of some of the solutions:<br /><br />1. **Question 1 (B) 0**: Solved using order of operations where multiplication takes precedence over addition, resulting in 0.<br /><br />2. **Question 2 (D) 1/12**: Fraction of a rectangle calculated based on shaded areas.<br /><br />3. **Question 3 (C)**: A problem involving symmetry in folding a napkin, revealing a specific shape after rotations and folds.<br /><br />4. **Question 4 (B) 8 minutes**: A clock problem calculating time discrepancy over 24 hours.<br /><br />5. **Question 5 (E) 72**: Calculation involved in finding the number of passengers based on seat occupancy ratios.<br /><br />6. **Question 6 (C) 12**: Sibling calculation that excludes the counting of oneself for total siblings.<br /><br />7. **Question 7 (D) 84**: A mathematical operation and comparison to identify a non-multiple of 16.<br /><br />8. **Question 8 (E)**: Problem involved computing areas using basic geometric shapes like squares and triangles.<br /><br />9. **Question 9 (C) 2641**: A pattern recognition problem involving digits and circles.<br /><br />10. **Question 10 (A) 2**: Counting visible squares and planning additional matches for squares.<br /><br />11. **Question 11 (D) 12 minutes**: Calculating the least common multiple for a timing problem.<br /><br />12. **Question 12 (A) 536 dollars**: An arithmetic series solution for finding sum in terms of coin values.<br /><br />13. **Question 13 (C) 900**: Distance remaining in a race conversion problem.<br /><br />The document continues in this meticulous manner, showcasing various mathematical problems and solutions involving geometry, arithmetic series, symmetry, and logic. Each problem is accompanied by a methodical step-by-step explanation, arriving at the correct result through logical reasoning and mathematical computation.

Keywords

Math Kangaroo 2001

USA

solutions

order of operations

geometry

symmetry

arithmetic series

logical reasoning

mathematical computation

pattern recognition