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