2018_Solutions_Grades 5-6-2018_Solutions_Levels

2018_Solutions_Levels_5&6

Pdf Summary

The Math Kangaroo 2018 contest for Levels 5 and 6 includes a series of mathematical problems, each requiring logical reasoning and basic arithmetic to solve. Here is a brief overview of select solution explanations from the contest:<br /><br />1. **Problem 1**: To find how many balloons are not hit by arrows, the solution requires understanding the flight path of the arrows and identifying untouched balloons. <br /><br />2. **Problem 3**: This involves calculating target scores from given pictures and using basic arithmetic to find the score when arrows hit different rings on a target.<br /><br />3. **Problem 4**: This problem involves finding the meeting point of two snails tracing the perimeter of a garden, solved either analytically or graphically.<br /><br />4. **Problem 5**: Involves equations manipulating digits and basic arithmetic operations to ascertain specific values, showcasing algebraic manipulation. <br /><br />5. **Problem 7**: Entails identifying the day of the week a date falls on by understanding weekly cycles.<br /><br />6. **Problem 8**: Relates to probability by asserting how many die rolls are needed so that at least one result repeats.<br /><br />7. **Problem 10**: Discusses light bulbs network connections, using logic to decide how a small number of actions can create the largest effect.<br /><br />8. **Problem 12**: Involves traffic flow and understanding how the movement of cars filled into lanes results in a final configuration.<br /><br />9. **Problem 14**: Logic and truth statements determine which door hides a lion, showcasing analytical thinking.<br /><br />10. **Problems 22 and 30**: These require logic in deducing weights and configurations, and rearranging numbers in a sequence, respectively, to satisfy conditions related to maximum sums.<br /><br />Each solution uses elementary principles designed to encourage students to apply math in a variety of contexts, from basic calculation and pattern recognition to applications of logical reasoning and algebra. The Math Kangaroo contest encourages developing these skills through engaging and challenging problem-solving activities.

Keywords

Math Kangaroo

2018 contest

Levels 5 and 6

logical reasoning

basic arithmetic

problem-solving

algebraic manipulation

probability

analytical thinking

pattern recognition