1998_Solutions_Grades 3-4-1998_Solutions_Levels

1998_Solutions_Levels_3&4
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The document provides solution suggestions for the Math Kangaroo 1998 competition for Levels 3 and 4. Each problem is accompanied by a letter indicating the correct answer and a brief explanation of how that answer is derived.<br /><br />1. **Question 1**: To determine the number of kangaroos based on counted body parts, divide 63 by the sum of a kangaroo’s parts (7), resulting in 9 kangaroos.<br /><br />2. **Question 2**: Use the order of operations (PEMDAS/BODMAS) with the given equation to find the answer.<br /><br />3. **Question 3**: Identify the number of triangles in a geometric figure, totaling 8.<br /><br />4. **Question 4**: Calculate the floor of an apartment by performing division and adjusting for the building's floor start.<br /><br />5. **Question 5**: Simplify the equation 12 = 2 * 6 and then equate the remaining sides to find the answer.<br /><br />6. **Question 6**: Determine valid three-digit numbers from given digits, considering they cannot start with zero.<br /><br />7. **Question 7**: Calculate the number of blocks in a tower by summing the blocks in separate parts of the structure.<br /><br />8. **Question 8**: Find the shortest path time by testing different zigzagged approaches.<br /><br />9. **Question 9**: Solve a problem involving divisible numbers by finding which number fulfills all conditions, plus one more for remaining cookies, resulting in 13.<br /><br />10. **Question 10**: Use a reverse calculation technique to determine the original amount before additions and subtractions.<br /><br />11. **Question 11**: Calculate the day a snail escapes a well by accounting for net daily climb.<br /><br />12. **Question 12**: Use visualization for fitting geometric pieces by rotating to solve the puzzle.<br /><br />13. **Question 13**: Determine the position of a runner by dividing the total number of runners into groups and identifying the sequence.<br /><br />14. **Question 14**: Use simple arithmetic to find the cost of a whole item based on partial costs.<br /><br />15. **Question 15**: Filling numbers are calculated by understanding the pyramid’s arrangement or using a formula for the mean.<br /><br />16. **Question 16**: Determine color distribution in objects by making sure all divisibility and representation conditions are satisfied.<br /><br />17. **Question 17**: Calculate the cost of an item from leftover money after purchases.<br /><br />18. **Question 18**: Find the number of matches required to form a grid on a chessboard-like pattern.<br /><br />19. **Question 19**: List possible numbers fitting specific conditions within a range to find the total.<br /><br />20. **Question 20**: Sum age differences to find the total difference in age among siblings.<br /><br />21. **Question 21**: Analyze a sports team's points distribution by calculating won, lost, and tied matches.<br /><br />The document systematically guides the reader through each solution with a logical step-by-step approach, concluding problems with clear reasoning or problem-solving strategies.
Keywords
Math Kangaroo 1998
Levels 3 and 4
solution suggestions
correct answer
explanation
problem-solving strategies
logical approach
mathematical operations
geometric figures
divisibility