2021_Solutions_Grades 1-2-2021_Solutions_Levels

2021_Solutions_Levels_1&2
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The document provides solutions for the Math Kangaroo 2021 competition, focusing on Levels 1 and 2. Each solution contains detailed explanations and step-by-step reasoning for solving individual problems. Here’s a summary of the document’s content:<br /><br />1. **Problem 1**: The solution involves counting the number of sticks used in different figures, identifying figure (E) as the one with 3 sticks.<br />   <br />2. **Problem 2**: Determining the height difference between two mushrooms using a scale, resulting in a difference of 5 units.<br />   <br />3. **Problem 3**: Comparing the length of paths composed of bold segments to identify the longest path.<br /><br />4. **Problem 4**: Identifying the correct hole on a stack of square papers, with (D) being the only hole visible in all stacked squares.<br /><br />5. **Problem 5**: Analyzing a mirrored number sequence to recognize that option (A) is correct after reversing.<br /><br />6. **Problem 6**: Using comparative logic to find that the silver tower is the tallest based on given conditions.<br /><br />7. **Problem 7**: Counting children based on their right hand positions to find the number of them holding hands.<br /><br />8. **Problem 8**: Identifying the only star image without numbers 3 or less, which is image (B).<br /><br />9. **Problem 9**: Counting cuts on a string to determine the number of resulting ribbon pieces.<br /><br />10. **Problem 10**: Calculating a path length for a cat, concluding at point D after making multiple turns. <br /><br />11. **Problem 11**: Balancing the number of flowers across two pots, determining a total of 6 additional flowers needed.<br /><br />12. **Problem 12**: Deciphering a sequence of letters and numbers to spell out "MATH."<br /><br />13. **Problem 13**: Rotating pieces to match a design, choosing option (A).<br /><br />14. **Problem 14**: Calculating differences in scores between Angela and Julie.<br /><br />15. **Problem 15**: Understanding a path past houses using given clues.<br /><br />16. **Problem 16**: Calculating leaves eaten by a kangaroo to find the total leftover.<br /><br />17. **Problem 17**: Identifying used pieces in a pattern with rotations involved.<br /><br />18. **Problem 18**: The witch’s conversion process of items into one banana.<br /><br />19. **Problem 19**: Dividing cards with specified values into balanced groups.<br /><br />20. **Problem 20**: Observing rotation impacts on gear teeth alignment.<br /><br />21. **Problem 21**: Calculating dance pairs to determine dance duration.<br /><br />22. **Problem 22**: Sufficient moon-shaped cookies for different trays’ combinations.<br /><br />23. **Problem 23**: Weekly fruit consumption over a two-week period.<br /><br />24. **Problem 24**: Arranging toys on shelves and identifying possible positions for a puzzle.<br /><br />Each problem is solved systematically with methodologies including counting, logical reasoning, and arithmetic operations, designed to help students understand and solve mathematical challenges efficiently.
Keywords
Math Kangaroo 2021
Levels 1 and 2
problem solutions
step-by-step reasoning
logical reasoning
arithmetic operations
mathematical challenges
comparative logic
pattern recognition
sequence deciphering