2010_Solutions_Grades 3-4-2010_Solutions_Levels

2010_Solutions_Levels_3&4
Pdf Summary
The Math Kangaroo 2010 solution suggestions for Levels 3 and 4 offer detailed answers to each of the 24 questions, explaining the reasoning behind the correct choices.<br /><br />1. Problems involve understanding patterns and sequences, such as problem 1, where the sequence is deciphered as "2010." <br /><br />2. Time calculation is explored in problem 2, where adding 20 minutes to a start time confirms "12:10" as halfway. <br /><br />3. Distance covered by steps of varying lengths is discussed in problem 3, concluding that the person with the longest steps, Daniel, made the fewest.<br /><br />4. An examination of a geometric sequence shows Adam solved "31" problems over several days.<br /><br />5. Visual pattern recognition is the focus in question 5, highlighting that picture D's lines uniquely cross small squares.<br /><br />6. Cost-saving strategies are applied in problem 6, calculating a saving of "3" by bulk buying.<br /><br />7. Calculation involving feet and pairs of shoes is in problem 7, resulting in a total of "54" shoes needed.<br /><br />8. <br /><br />9. Problem 9 involves calculating the number of seconds in a week.<br /><br />10. For ice cream consumption, the sequence in problem 10 is Adam, Alex, Tom, Luke.<br /><br />11. To find floor levels in problem 11, subtracting and adding reveals "14" floors between friends.<br /><br />12. Identifying painted cube sides in 3D shapes illustrates symmetry and counting in problem 12, resulting in "20" cubes.<br /><br />13. Calculating the costs for painting a fence gives a total expense of "200."<br /><br />14. Identifying numerical patterns confirms option C as the correct series.<br /><br />15. Recognizing Anne's cutting pattern across a numbered diagram totals "20."<br /><br />16. Differences in problem 16 identify a discrepancy that leads to a final number of "99."<br /><br />17. Understanding the reappearance of corners when unfolding highlights pattern recognition.<br /><br />18. Problem 18 involves logical deduction based on guesses, determining "2003" as the answer.<br /><br />19. Chair counting relates addition and deduction in problem 19, resulting in "22" chairs.<br /><br />20. Determining the length of a chain in problem 20 results in "16 mm."<br /><br />21. Exploring the combinations of multiples of numbers in problem 21 identifies "5" ladybugs.<br /><br />22. Deduction about months people were born in results in "8" friends.<br /><br />23. Logical ordering about the residents’ locations in problem 23 solves to name Jeff from "Washington."<br /><br />24. Age calculation in problem 24 results in "96" years when summing family members' ages.<br /><br />The solutions engage a variety of mathematical concepts and logic skills to encourage problem-solving abilities.
Keywords
Math Kangaroo 2010
Levels 3 and 4
solution suggestions
patterns and sequences
time calculation
distance and steps
geometric sequence
visual pattern recognition
cost-saving strategies
logical deduction