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