2012_Solutions_Grades 7-8-2012_Solutions_Levels

2012_Solutions_Levels_7&8
Pdf Summary
The Math Kangaroo 2012 Suggested Solutions for Levels 7 and 8 document outlines solutions to math problems from the competition, focusing on problem-solving strategies and different mathematical concepts.<br /><br />1. <strong>Problem 1</strong> deals with equating chocolate bar prices to solve for differences in cost.<br />2. <strong>Problem 2</strong> uses subtraction to solve a time-related puzzle.<br />3. <strong>Problem 3</strong> involves understanding movements on a clock face.<br />4. <strong>Problem 4</strong> examines cutting letters into pieces to determine possibilities.<br />5. <strong>Problem 5</strong> handles a scenario involving heads of a dragon.<br />6. <strong>Problem 6</strong> simplifies algebraic expressions to reveal uniform results.<br />7. <strong>Problem 7</strong> calculates a path length for a certain travel scenario.<br />8. <strong>Problem 8</strong> explores choosing vertices of triangles.<br />9. <strong>Problem 9</strong> involves determining shapes that require multiple cuts.<br />10. <strong>Problem 10</strong> requires visualizing cubes within a block.<br />11. <strong>Problem 11</strong> minimizes a sum by strategically placing digits.<br />12. <strong>Problem 12</strong> deciphers area changes affecting a garden shape.<br />13. <strong>Problem 13</strong> involves integer manipulations within constraints to solve for missing components.<br />14. <strong>Problem 14</strong> is about calculating angles in triangles.<br />15. <strong>Problem 15</strong> identifies logical statements on a card.<br />16. <strong>Problem 16</strong> computes dimensions from given perimeter constraints.<br />17. <strong>Problem 17</strong> explores combinations of cheese pieces.<br />18. <strong>Problem 18</strong> calculates distances covered in a race using ratios of speed.<br />19. <strong>Problem 19</strong> involves recalculating a square’s perimeter through imaginary transformations.<br />20. <strong>Problem 20</strong> interprets a series of movements or rotations.<br />21. <strong>Problem 21</strong> sets up and solves for the height of stacked cubes.<br />22. <strong>Problem 22</strong> examines geometric transformations and space occupations within triangles.<br />23. <strong>Problem 23</strong> uses algebraic inequalities and set-up mechanics in dance pairs.<br />24. <strong>Problem 24</strong> reconstructs a number sequence puzzle.<br />25. <strong>Problem 25</strong> identifies three-digit numbers matching criteria related to perfect squares.<br />26. <strong>Problem 26</strong> checks page start scenarios in a book of stories.<br />27. <strong>Problem 27</strong> addresses unique positions resulting from rotational sequences.<br />28. <strong>Problem 28</strong> tests rope cutting lengths from original setups.<br />29. <strong>Problem 29</strong> calculates the sum of line segment lengths based on given perimeter data.<br />30. <strong>Problem 30</strong> explores a mathematical pattern formed by the product of numbers.<br /><br />Each problem emphasizes different mathematical reasoning and provides solutions highlighting the concept taught.
Keywords
Math Kangaroo 2012
problem-solving strategies
mathematical concepts
equating prices
algebraic expressions
geometric transformations
integer manipulations
perimeter calculations
triangle vertices
visualizing cubes