2004_Solutions_Grades 5-6-2004_Solutions_Levels

2004_Solutions_Levels_5&6
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The Math Kangaroo 2004 suggested solutions for levels 5-6 list the results for 30 different math problems, each with a brief explanation of how the answer was derived.<br /><br />1. <strong>C) 909</strong>: Through a sequence of subtraction steps beginning with 1000 and ending with 1, the answer simplifies to 909.<br /><br />2. <strong>C) 3</strong>: Given a matrix where a digit is missing, the number 3 should fill the square marked with 'x'.<br /><br />3. <strong>E) 2000</strong>: By applying grouping properties of multiplication, calculations lead to the answer 2000.<br /><br />4. <strong>E) More than 90 hours</strong>: 360,000 seconds equals 100 hours, which is indeed more than 90 hours.<br /><br />5. <strong>E) 2003</strong>: Upon division, 2004 goes into the number 2003 zero times, leaving a remainder of 2003.<br /><br />6. <strong>D)</strong>: Rotating sheet D 90 degrees modifies it to match a given pattern.<br /><br />7. <strong>D) 8</strong>: Factors of 2004 are identified, confirming 8 is not a factor.<br /><br />8. <strong>B) 28</strong>: Through algebraic expressions of carrot consumption, the mother ate 28 carrots.<br /><br />9. <strong>C) 2400 m</strong>: Referring to the intervals between stops on a route, calculations reveal the length as 2400 meters.<br /><br />10. <strong>D) 3</strong>: Simplifying the operation sequence yields 3.<br /><br />11. <strong>D)</strong>: No content explanation provided.<br /><br />12. <strong>E) 32</strong>: Doubling layers of paper through folding results in 32 layers.<br /><br />13. <strong>D) 6</strong>: Calculations regarding number properties identify 6.<br /><br />14. <strong>B) 108 g</strong>: Using weight equations, an apple and orange's combined weight is found to be 108 g.<br /><br />15. <strong>B) 2</strong>: The only number that is both prime and even.<br /><br />16. <strong>B) 2</strong>: Analyzing folding symmetry applies to this result.<br /><br />17. <strong>E)</strong>: No content explanation provided.<br /><br />18. <strong>C) 35 dm</strong>: Decomposing trip paths verifies the solution.<br /><br />19. <strong>C) Thursday</strong>: Calculating future days identifies Thursday.<br /><br />20. <strong>D) 44</strong>: Number manipulations ascertain 44.<br /><br />21. <strong>C) 16</strong>: Computing divisor combinations yields 16.<br /><br />22. <strong>B) 36</strong>: Logical combinations of mushroom counts give this result.<br /><br />23. <strong>B) 8</strong>: Analyzing rotational sequence aligns with 8.<br /><br />24. <strong>A)</strong>: Triangles built from square sides give the shaded area.<br /><br />25. <strong>C) 28.50</strong>: Price calculations adjust original price amounts.<br /><br />26. <strong>A) 128</strong>: Patterns suggest the non-square number, 128.<br /><br />27. <strong>D) 667</strong>: Dividing ones by 3 outlines the quotient with zero occurrences.<br /><br />28. <strong>D) 8</strong>: Finding common factors equals this outcome.<br /><br />29. <strong>A)</strong>: Equation solutions tally to 17 correctly answered problems.<br /><br />30. <strong>C) 18 cm²</strong>: Geometry determines the polygon area.
Keywords
Math Kangaroo 2004
math problems
solutions
subtraction
matrix
multiplication
factors
algebraic expressions
geometry
patterns