2004_Solutions_Grades 3-4-2004_Solutions_Levels

2004_Solutions_Levels_3&4
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This document provides solution suggestions for the Math Kangaroo competition in the USA, specifically for Levels 3 and 4 from the year 2004. Below is a summary of the solutions provided:<br /><br />1. <strong>Question 1</strong>: Calculate a simple sequential sum to find 10,015. Recognize patterns in numbers to simplify calculations.<br /><br />2. <strong>Question 2</strong>: Determine the age difference, which remains constant over time, leads to Mark being 4 years older than his sister.<br /><br />3. <strong>Question 3</strong>: Measure the extra distance added to a path due to a detour, resulting in an additional 6 km.<br /><br />4. <strong>Question 4</strong>: Compare numerical differences to identify the outlier, 278 versus the others at 282.<br /><br />5. <strong>Question 5</strong>: Resolve changes in population of birds based on given movements, concluding with an original count of 14.<br /><br />6. <strong>Question 6</strong>: Use a Venn diagram logic to find numbers in both a rectangle and a circle but not a triangle, resulting in numbers 1 and 10.<br /><br />7. <strong>Question 7</strong>: Apply logic to determine the positioning of red, blue, and green buildings based on given constraints, placing the green building at number 3.<br /><br />8. <strong>Question 8</strong>: Balance shaded versus white squares in a figure by shading 3 additional squares.<br /><br />9. <strong>Question 9</strong>: Identify a visual pattern through rotation, matching figure D after a counterclockwise rotation.<br /><br />10. <strong>Question 10</strong>: Deduce the weight of a pen by using relative weights of pencils and additional masses.<br /><br />11. <strong>Question 11</strong>: Find the correct real time given errors in clock readings, resulting in 5:05 as the true time.<br /><br />12. <strong>Question 12</strong>: Analyze consumption to find that more than half of the fruit remained uneaten.<br /><br />13. <strong>Question 13</strong>: Correct a mistaken operation to find the original number, resulting in 60,000.<br /><br />14. <strong>Question 14</strong>: Subtract known pages to find the total missing sheets, concluding with 10 missing sheets. <br /><br />15. <strong>Question 15</strong>: Use cyclic patterns of days of the week to determine that 52 days after a birthday lands on a Friday.<br /><br />16. <strong>Question 16</strong>: Calculate a column’s sum in a table by algebraically simplifying given equations to arrive at 7.<br /><br />17. <strong>Question 17</strong>: Determine a three-dimensional color arrangement upon folding, resulting in distinct opposite colors.<br /><br />18. <strong>Question 18</strong>: Calculate the side length of a square by manipulating given geometric relations, leading to a length of 64.<br /><br />19. <strong>Question 19</strong>: Count participants given a relative positional clue in a circle, determining a total of 23 students.<br /><br />20. <strong>Question 20</strong>: Conclude that a zero must be included in a digit product of 9 for a 10-digit number, yielding a product of 0.<br /><br />21. <strong>Question 21</strong>: Sum layers of cubes based on alternating colors, reaching a total of 62 white cubes.<br /><br />22. <strong>Question 22</strong>: Distribute a prize money proportionally to contributions, resulting in Peter receiving $375.<br /><br />23. <strong>Question 23</strong>: Analyze soccer game outcomes to identify incompatible results for obtaining 3 points.<br /><br />24. <strong>Question 24</strong>: Solve a grid puzzle using multiplication and distribution of numbers to find specific cells marked by letters, concluding with letters M and S both equaling 12. <br /><br />Each question solved in this document involves mathematical concepts including arithmetic, geometry, logic, and patterns, providing clear insights into problem-solving strategies required for competitive exams.
Keywords
Math Kangaroo
USA
Levels 3 and 4
2004
solutions
arithmetic
geometry
logic
patterns
competitive exams