2005_Solutions_Grades 3-4-2005_Solutions_Levels

2005_Solutions_Levels_3&4
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The Math Kangaroo 2005 Solutions for Levels 3–4 provides detailed answers and explanations for each question in the competition. Here’s a concise summary of the solutions for selected problems:<br /><br />1. For a basic arithmetic problem involving subtraction, the solution identifies the result as 500.<br />2. Calculation of time involves recognizing that 17 quarters of an hour equals 4 hours and 15 minutes, leading to a time of 4:15 from noon.<br />3. Dividing the total cost paid for cookies implies each cookie costs 3, using division.<br />4. To equally distribute monkeys into rows, the solution calculates 2 monkeys per row for an even distribution.<br />5. The total number of legs is counted from various animals and people, resulting in a sum of 24 legs.<br />6. The difference in areas of a whole chocolate versus an eaten piece determines the answer as 60. <br />7. Both width and weight need to be within specified limits for the trucks.<br />8. By calculating divisibility, the correct number divisible by 7 is identified.<br />9. Minimum family composition requires having at least two boys and two girls.<br />10. The number 3874 satisfies a set of conditions about evenness and unique digits.<br />11. Details not provided.<br />12. Given elevator weight restrictions, calculations determine three friends must go separately.<br />13. Solving an equation about wealth comparison leads to a calculated value of 45.<br />14. A minimal move involves rearranging positions of kangaroos on a game board.<br />15. Accounting for a sand sack with a hole, trips are doubled due to loss, resulting in 8 trips.<br />16. Comparing problems solved over days between two people results in 10 days for Brad.<br />17. Calculating extra paper pieces from cuts requires three cuts.<br />18. Using whole matches for dimension calculations, it concludes three possible rectangle configurations.<br />19. Frame thickness calculations result in a width of 1 dm.<br />20. Sequentially unlocking 8 locks explains the process of extracting coins.<br />21. Calculations deducing flowerbed perimeter derive the final answer.<br />22. The sum for two specific numbers results in the total 1009.<br />23. A sequence of card switches resolves the number of moves.<br />24. Visual pattern recognition notes how squares will create a checkerboard design.<br /><br />Each problem covers various mathematical concepts from basic arithmetic to spatial reasoning.
Keywords
Math Kangaroo 2005
solutions
arithmetic
time calculation
division
distribution
geometry
divisibility
problem solving
mathematical concepts