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