2011_Solutions_Grades 3-4-2011_Solutions_Levels

2011_Solutions_Levels_3&4
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The Math Kangaroo 2011 solution suggestions for Levels 3 and 4 detail the answers and rationale behind each of the problems from the competition. Here are the key solutions and explanations:<br /><br />1. **Greatest Result**: The greatest result from the given operations is derived from 20 + 11 = 31.<br />2. **Days of the Week**: Assigning letters of "KANGAROO" to days, Michael ends on Wednesday with the letter O.<br />3. **Balancing Scale**: To balance the scale, adding 9 kg to the lighter side achieves balance.<br />4. **Time Before Departure**: Paul got up 6 hours before the departure time by calculating backwards from when the train leaves.<br />5. **Toy's Movement**: After a cycle of four moves starting and ending at the original position, the toy is one square to the right.<br />6. **Total Cost**: Ala pays $3.30 for one scoop of ice cream and one cookie.<br />7. **Figure Identification**: Susan refers to the grey triangle among two grey figures.<br />8. **Clock Strikes**: Between 7:45 and 10:45, the clock strikes 30 times as calculated by including full hour and half-hour strikes.<br />9. **Counting Squares**: Figure C contains the most squares, with 12 full squares total.<br />10. **Eggs in Boxes**: The least number of boxes needed to fit 66 eggs is 6.<br />11. **Number of Students**: There are 12 students, deduced by distributions of pets among them.<br />12. **Cake Slices**: 21 people were at the party, accounting for leftover cake pieces.<br />13. **Picture Folding**: The right side of the paper, when folded, matches option E.<br />14. **Coin Problem**: It's impossible to make 60 cents with the given coins.<br />15. **Result from Dice**: Tom rolled a 5 when comparisons of dice results are analyzed.<br />16. **Squirrel and Nuts**: The squirrel can collect a maximum of 11 nuts.<br />17. **Questions Correct**: Mrs. Smith answered 7 questions correctly for a total of 14 points.<br />18. **Original Order of Girls**: The starting order was Dasha, Sasha, Pasha, Masha.<br />19. **Distance Measurement**: The overlapping segment of the journey equals 10 miles.<br />20. **Die Faces**: Upon rotation, option C aligns correctly considering visible die dots.<br />21. **Three-digit Numbers**: There are 12 possible numbers with specified digits.<br />22. **Figure Construction**: The large figure is built from pieces A, B, C, and E.<br />23. **Castle Cubes**: The castle is constructed from a total of 56 cubes.<br />24. **Number Placement**: The arrangement sums to 16 with specific number placements ensuring 13 on each side.<br /><br />These solutions show a blend of arithmetic operations, logical reasoning, and combinatorial problem-solving typical of the Math Kangaroo contest style. Each question involves logical deduction and basic arithmetic, aimed at challenging young mathematics enthusiasts.
Keywords
Math Kangaroo 2011
Levels 3 and 4
solution suggestions
arithmetic operations
logical reasoning
combinatorial problem-solving
contest style
young mathematics enthusiasts
problem explanations
competition answers