2014_Solutions_Grades 5-6-2014_Solutions_Levels

2014_Solutions_Levels_5&6
Pdf Summary
The Math Kangaroo 2014 document provides solutions to a series of mathematical problems, targeted at challenging students' problem-solving skills. Here's a brief overview of some problems and their solutions:<br /><br />1. **Rotational Problem**: To restore "KANGAROO," specific cards need rotations summing to 6 rotations of 90 degrees.<br /><br />2. **Weight Calculation**: A cake is divided such that the largest piece weighs 450g, implying it equals the combined weight of the other three pieces, but their individual weights can vary.<br /><br />3. **Visual Perception**: Peter and Paul's different views indicate that when seen in reverse, the left appears as right, affecting visual conclusions, leading to option D.<br /><br />4. **Sum Calculation**: Given numbers sum to a specific amount, leading missing digits to sum to 0.<br /><br />5. **Numerical Difference**: The difference between the smallest five-digit number and the largest four-digit number is 1.<br /><br />6. **Geometry**: Calculating perimeters of given shapes results in specific figures, such as 60 cm for a constructed rectangle from a square.<br /><br />7. **Logical Deduction**: Based on materials given, specific constructions lead to varied results like a particular number of sides per geometric shape (e.g., 5 matches per square).<br /><br />8. **Pearl Problem**: Alex, hoping to align conditions, finds the minimal number of pearls needing removal.<br /><br />9. **Time Calculation**: Different contextual observations determine the shortest duration.<br /><br />10. **Time on Watch**: Given observations on the watch, the correct current time is deduced to be 12:44.<br /><br />11. **Area Problem**: Different colored areas are computed, leading to a conclusion on impossibility if disparities occur.<br /><br />12. **Directional Problem**: Calculating paths between starting and ending points determines the minimal distance required, deduced to be 1 km north.<br /><br />13. **Daily Consumption**: Analyzing patterns of children's consumption frequency leads to a specific turnout for present day.<br /><br />14-30. **Further Problems and Solutions**: Additional various mathematical challenges involving logical reasoning, geometry, arithmetic computation, and problem-solving skills follow, each solution offering direct insights to set questions for a broad number of scenarios, from arranging tables to calculating distances and predicting weather patterns.<br /><br />Overall, each problem is crafted to test multiple areas of mathematical reasoning and solutions provide clear pathways to derive answers, enhancing students' mathematical abilities.
Keywords
Math Kangaroo 2014
problem-solving
rotational problem
weight calculation
visual perception
sum calculation
numerical difference
geometry
logical deduction
pearl problem