2021_Solutions_Grades 5-6-2021_Solutions_Levels

2021_Solutions_Levels_5&6
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The Math Kangaroo 2021 Solution Suggestions for Levels 5 and 6 includes solution outlines for math problems numbered 1 to 30, designed to guide participants through problem-solving techniques. The document outlines multiple-choice answers alongside brief explanations. Here’s a summary of the key insights:<br /><br />1. (D) - Count of shaded and white bricks specifies that only option D has the correct ratio.<br />2. (A) - Children hold hands once in the chain.<br />3. (E) - Largest number sequence starts with 986.<br />4. (D) - Sequential letter selection from boxes results in choosing G.<br />5. (B) - Puzzle piece alignment results in a unique configuration count.<br />6. (C) - Arithmetic pattern calculating yields 69.<br />7. (B) - Only option B fits dimensional constraints for passage through gate G.<br />8. (E) - All proportions of green and white parts result in equally dark mixtures.<br />9. (E) - Any folding of P, Q, R maintains triangle shape.<br />10. (D) - Correct geometrical arrangement from midpoints results in an area prediction.<br />11. (B) - 3444 is the smallest sum derived from constrained number arrangements.<br />12. (B) - Calculation of path length gives 20 km.<br />13. (D) - Suitable path completion not possible with piece D.<br />14. (B) - Calculation from hexagon number sums yields a result of 4.<br />15. (C) - Calculated measure yields CD at 8cm.<br />16. (A) - Ball on pyramid top identified in side views as 'A.'<br />17. (E) - Game rules ensure a gray token must occur on top in sequence.<br />18. (C) - Rotation of digits disproves the given combination.<br />19. (D) - Carl received as many pears as Luca received apples, ensured by balanced sums.<br />20. (B) - Collision of train paths requires a double track between specific segments.<br />21. (A) - Round table arrangement results in specific neighbor positions for Carina.<br />22. (B) - Limiting ingredient (flour) restricts pancake production to 8.<br />23. (A) - Gear pattern rotation validated through counting.<br />24. (C) - Weight analysis deduces peach as the heaviest fruit.<br />25. (E) - Symmetrical design requires shading of 21 squares.<br />26. (C) - Logical deduction of pirate statements verifies total of 13 (6 diamonds, 7 coins).<br />27. (D) - Solving for bottle volumes gives medium at 10.<br />28. (B) - Line-covered cube count yields 62.<br />29. (B) - Deduction about smallest trolls count concludes with 3 untruthful trolls.<br />30. (E) - Card configurations analyze to conclude (E) is unusable for rectangle creation.<br /><br />Overall, each solution uses logic, arithmetic, or spatial reasoning to deduce the correct choice, ensuring participants understand the problem-solving process.
Keywords
Math Kangaroo
solution suggestions
levels 5 and 6
problem-solving techniques
multiple-choice answers
arithmetic pattern
geometrical arrangement
logical deduction
spatial reasoning
math problems