2013_Solutions_Grades 9-10-2013_Solutions_Levels

2013_Solutions_Levels_9&10
Pdf Summary
The 2013 Math Kangaroo Levels 9-10 solutions provide the answers and explanations for a set of challenging math problems. Here is a brief overview of each problem's solution:<br /><br />1. The number 7 is not a factor in given calculations.<br />2. Configurations differ in edge-sharing between regions; correct answer is 4.<br />3. Discount application calculation reveals 2.80 as the answer.<br />4. Prime factorization results in 131 being correct.<br />5. Using coordinates or Pick's Theorem, the smallest triangle area is found to be 1/2.<br />6. Through simplification, 231 is determined as the correct value.<br />7. Examination of cube diagrams indicates choice (E).<br />8. Calculations pertaining to multiples and lattice provide the result of 896.<br />9. A rotation and reflection bring the arrow back, orientation reversed.<br />10. By comparing squared values, 20√13 is identified as the largest.<br />11. Angle measurements and isosceles properties lead to an angle of 35°.<br />12. Formulas for zigzag perimeter lead to 4028.<br />13. Using geometry and trigonometry, the area or product results in 80 cm².<br />14. Percentage calculations show girls comprise 60% of the class.<br />15. Line slopes reveal that point D has the least slope.<br />16. Factor analysis concludes John was born in 1952.<br />17. Geometric analysis finds PS as the longest segment.<br />18. Given conditions about integer lists solve to conclude 2.<br />19. Path analysis from A to B results in 12 paths.<br />20. Elimination shows that none of choices A-D is correct.<br />21. Factors and division yield 13 as the minimal n for the condition.<br />22. Multiples and divisors of 2013 result in 6.<br />23. Divisions of 360º angles provide m=3 as the solution.<br />24. Sequence progression shows 2013 will never appear as a term.<br />25. List manipulations determine 15 is the optimal solution.<br />26. Through prime factorization, 10 usable fractions are determined.<br />27. Circle vertex triangulation counts 91 possible triangles.<br />28. Calculations across time and speed find 75 km/h as the maximum.<br />29. A planting pattern supports a maximum of 52 oaks in 100 trees.<br />30. A system of equations regarding Yurko's walking results in a pipe length of 35 m.<br /><br />Each problem requires critical reasoning and mathematical computation, illustrating the level of complexity typical in such competitions.
Keywords
Math Kangaroo
solutions
factorization
geometry
trigonometry
prime factors
perimeter
angle measurement
sequence progression
critical reasoning