2000_Solutions_Grades 3-4-2000_Solutions_Levels

2000_Solutions_Levels_3&4
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The Math Kangaroo 2000 competition provides suggested solutions for various problems aimed at students in levels 3 and 4. Here's a brief overview of the solutions provided for these problems:<br /><br />1. **Burn Duration**: Ten candles lit together will extinguish simultaneously after fifteen minutes. (Answer: B)<br />   <br />2. **Pill Schedule**: A kangaroo taking pills every 20 minutes will take the third pill 40 minutes after the first. (Answer: C)<br /><br />3. **Product vs. Sum**: In scenario D, the product of numbers is larger than their sum. (Answer: D)<br /><br />4. **Stairs Climbing**: If one person climbs two flights to reach the third floor, they live on the 3rd floor. (Answer: B)<br /><br />5. **Candy Bar Cost**: Each lollipop costs 30 cents if four candy bars cost $3.60. (Answer: B)<br /><br />6. **Capacity Calculation**: Three buses can accommodate a group of 165 people. (Answer: C)<br /><br />7. **Walking Speed**: A person takes 24 minutes to circle a plaza that’s four times larger than a smaller one. (Answer: B)<br /><br />8. **Bus Timing**: The latest bus to catch leaves at 9:30 am, ensuring arrival by 11:30 am. (Answer: C)<br /><br />9. **Ice Cream Consumption**: Given consumption rates, Kasia eats 4 bowls when Basia finishes 10. (Answer: B)<br /><br />10. **Digit Removal**: The smallest three-digit number obtainable is 108. (Answer: D)<br /><br />11. **Apple Distribution**: Twelve apples remain after adjustments in baskets. (Answer: B)<br /><br />12. **Rows and Students**: The total number of students from 11 rows is 33. (Answer: D)<br /><br />13. **Cat Moms Calculation**: The maximum number of cat moms is 4. (Answer: B)<br /><br />14. **Scales Balance**: The scales indicate equivalency, with adjustments showing 4 plums balanced. (Answer: C)<br /><br />15. **Fence Arrangement**: Mr. Jack’s plot has extra segments that can’t be matched. (Answer: C)<br /><br />16. **Block Calculation**: Logic implies there are 20 blocks in one structure. (Answer: C)<br /><br />17. **Grain Consumption**: In 9 days, 3 hens eat 12 cups of grain. (Answer: B)<br /><br />18. **Ribbon Lengths**: Total ribbon length used is 240 cm. (Answer: B)<br /><br />19. **Kangaroo Ages**: Youngest kangaroo is 2; hence, oldest is 10. (Answer: E)<br /><br />20. **Marysia's Time Away**: Marysia was away for approximately 6 hours. (Answer: C)<br /><br />21. **Equation Solving**: Solving for X gives 6. (Answer: C)<br /><br />22. **Dice Observation**: The hidden bottom face of the dice shows 1 dot. (Answer: A)<br /><br />23. **Path Contradiction**: Contradictions imply covering all segments without retracing steps is impossible. (Answer: E)<br /><br />24. **Bounce Height**: The initial drop height for a ball reaching subsequent heights is 80 cm. (Answer: A)<br /><br />These solutions illustrate concepts such as logical reasoning, arithmetic operations, and geometry, providing educational insights to young math enthusiasts.
Keywords
Math Kangaroo
competition
solutions
logical reasoning
arithmetic operations
geometry
students
educational insights
problem-solving
math enthusiasts