2014_Solutions_Grades 3-4-2014_Solutions_Levels

2014_Solutions_Levels_3&4
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This document outlines solutions to 24 questions from the 2014 Math Kangaroo competition for Levels 3 and 4. Here is a summary:<br /><br />1. <strong>Figure Identification</strong>: The solution determined which figure matched the central part of a larger figure by counting spikes, resolving that choice D is correct.<br /><br />2. <strong>Number Placement</strong>: By comparing five rearrangements of the number 2014, it was concluded that placing '3' between '1' and '4' resulted in the smallest number (20134), thus selecting option D.<br /><br />3. <strong>House Elimination</strong>: By identifying unique traits of certain houses, the viable options left were houses 1 and 4, hence option A.<br /><br />4. <strong>Leaves Consumption</strong>: It is calculated that Koko consumes 200 grams of leaves in 4 hours of being awake.<br /><br />5. <strong>Subtraction Sequence</strong>: Results from subtractions form a picture that matches answer A.<br /><br />6. <strong>Sandcastle Counts</strong>: Lucy built the most sandcastles as evidenced by comparison, resulting in option E.<br /><br />7. <strong>Grid Puzzle</strong>: The number in the gray cell was determined to be 8.<br /><br />8. <strong>Tetris-like Puzzle</strong>: Placing a T-shaped piece as in answer C allowed complete coverage.<br /><br />9. <strong>Mirror Image</strong>: A mirror reflection led to choosing figure E.<br /><br />10. <strong>Candy Puzzle</strong>: To determine the original count of candies reduced through halving, option E (48) was correct.<br /><br />11. <strong>Tile Area Equivalence</strong>: To achieve an area with equal light and dark gray tiles, adding one dark gray tile as option B suggested balance.<br /><br />12. <strong>Paula’s Score</strong>: By process of elimination of obtainable scores, 90 was not possible, hence option D.<br /><br />13. <strong>Token Puzzle</strong>: Calculating backwards from visible and hidden tokens indicates 6 yellow tokens initially, so option B.<br /><br />14. <strong>Carrot Consumption</strong>: Calculations based on carrots and cabbages eaten identified 7 cabbages, thus option B.<br /><br />15. <strong>Visible Block Sides</strong>: From a top-view angle, shape C matched the visible red and green marked sides.<br /><br />16. <strong>Dot Counting in Squares</strong>: Summing rows and formations concluded a total of 181 dots.<br /><br />17. <strong>Kangweeks Calculation</strong>: Analyses of kangyear quarters calculated to 30 kangweeks, hence choice B.<br /><br />18. <strong>Circle of Children Puzzle</strong>: Only 4 girls and 3 boys arrangement adhered to game rules, verifying option C.<br /><br />19. <strong>Card Order Switch</strong>: Three swaps were required to form the word KANGAROO, affirming option B.<br /><br />20. <strong>Diamond Pattern Counting</strong>: Step calculations led to 26 black diamonds required, solidifying choice C.<br /><br />21. <strong>Toy Purchase</strong>: Pricing analysis showed that the bear and horse cost 125 Kangcoins, identified as option A.<br /><br />22. <strong>Digit Sum Puzzle</strong>: Concluded that the number 5 correctly fits the gray box, resulting in choice D.<br /><br />23. <strong>Shaded Squares</strong>: A count verified 21 potential shaded small squares without forming a shaded 2x2 square, option D.<br /><br />24. <strong>Cell Number Placement</strong>: Deduction of numbers around the gray box led to the number 8, hence choice D. <br /><br />The overall document emphasized solving through pattern recognition, elimination, and arithmetic calculations.
Keywords
Math Kangaroo
2014 competition
Levels 3 and 4
figure identification
number placement
arithmetic calculations
pattern recognition
puzzle solutions
elimination method
logical deduction