2001_Solutions_Grades 3-4-2001_Solutions_Levels

2001_Solutions_Levels_3&4
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The document contains solution suggestions for Math Kangaroo 2001 contest for levels 3 and 4. Each problem is accompanied by its solution and the reasoning behind it:<br /><br />1. <strong>Candle Burning</strong>: Since each candle takes 3 hours to burn, the solution for problem 1 is 3 hours.<br />   <br />2. <strong>Stick Breaking</strong>: The solution is based on counting leftover sticks after one is broken, leading to 8 sticks in total.<br /><br />3. <strong>Weight Calculation</strong>: Counting squares gives 400 grams.<br /><br />4. <strong>Pairs of Shoes</strong>: Calculations reveal 20 pairs of shoes remaining after sales.<br /><br />5. <strong>Berry Cups</strong>: Kasia gives 31 cups following some arithmetic logic.<br /><br />6. <strong>Order of Operations</strong>: Correct application of operations in an expression leads to the result of 16.<br /><br />7. <strong>Children Division</strong>: 5 more children are needed for divisibility by 6.<br /><br />8. <strong>Length and Distance</strong>: The spacing between sticks results in each distance being 8 cm.<br /><br />9. <strong>Age Difference</strong>: Ania is twice Piotrus' age when she is 6 years.<br /><br />10. <strong>Cave Depths</strong>: The largest depth calculated is 640 meters.<br /><br />11. <strong>Candy Distribution</strong>: Maximum 5 children receive candy without duplication.<br /><br />12. <strong>Block Comparison</strong>: Figure E differs from the others.<br /><br />13. <strong>Car Counting</strong>: Total cars are 50 after removing a duplicate count.<br /><br />14. <strong>Chestnuts Ratio</strong>: Adam gives half to Bartek, making a 3x total.<br /><br />15. <strong>Triangles</strong>: An equation leads to finding 3 triangles on the table.<br /><br />16. <strong>Square Counting</strong>: Adding matches creates 11 squares.<br /><br />17. <strong>Mirror Reflection</strong>: The picture is a reflection of number 5.<br /><br />18. <strong>Motion Experiment</strong>: Encourages practical experiment for verification.<br /><br />19. <strong>Club Members</strong>: Equal boys and girls (16 each) result in 32 members after weeks of admission.<br /><br />20. <strong>Number Conditions</strong>: Ten such numbers fulfill the criteria given.<br /><br />21. <strong>Towel Perimeter</strong>: Calculation leads to a 600 cm perimeter.<br /><br />22. <strong>Zloty Division</strong>: Distributes 20 zloty among Tadek, Witek, and Karol.<br /><br />23. <strong>Candy Pile</strong>: Experiment shows a maximum of 6 candies in the right basket.<br /><br />24. <strong>Die Faces</strong>: Engages spatial reasoning as the dice rolls figure out the top face number.<br /><br />These solutions involve a mixture of arithmetic, logic, and practical reasoning to arrive at the correct answers for each problem instructed.
Keywords
Math Kangaroo 2001
levels 3 and 4
problem solutions
candle burning
stick breaking
weight calculation
pairs of shoes
berry cups
order of operations
children division