2000_Solutions_Grades 5-6-2000_Solutions_Levels

2000_Solutions_Levels_5&6
Pdf Summary
The Math Kangaroo 2000 provides solutions for Levels 5 and 6, offering detailed explanations for each question. Here is a summary of the key solutions presented:<br /><br />1. The number of boys in the class is determined by balancing the equation with 3 more girls than boys, resulting in 13 boys and 16 girls.<br /><br />2. An arithmetic equation results in an answer of 3 after simplifying negative numbers and multiplication.<br /><br />3. Counting mice and their pups determines the total number of mouse pups.<br /><br />4. The average of five consecutive numbers centers around 400, leading to the identification of 402 as the greatest number.<br /><br />5. Calculating the distance a train travels over time determines how far it is from the station.<br /><br />6. A reflection problem using a clock indicates the time as 9:45.<br /><br />7. Factoring numbers provides insight into the prime factors of 2000, revealing four twos and three fives.<br /><br />8. The cumulative length of different ribbons results in a total of 240 cm.<br /><br />9. Folding a square adds vertices, with three folds resulting in seven vertices total.<br /><br />10. Turning a kangaroo figurine 270 degrees clockwise results in its nose pointing at letter E.<br /><br />11. Identifying multiples of two and seven reveals there are seven two-digit numbers divisible by 14.<br /><br />12. Adding numbers to expressions helps find which is greatest, proving E is the largest.<br /><br />13. Calculating how many small squares make up a stair-step figure.<br /><br />14. Determining time in minutes and converting into hours and minutes for printing 1 million forms.<br /><br />15. Analyzing line segments shows Mr. Jack's plot has longer fence segments.<br /><br />16. Adjusting two numbers, decreasing one and increasing another, changes their difference.<br /><br />17. Calculating the smallest common multiple of a series of numbers results in 60.<br /><br />18. Various triangles' bases and heights calculate their combined area.<br /><br />19. Exploration of digit removal provides the smallest potential three-digit number.<br /><br />20. Lists all the four-digit numbers with a digit sum of 3 and determines there are 10 of them.<br /><br />21. Calculates possible group numbers from factor lists for 96.<br /><br />22. Weight problem involving scales and equations determines that a single cube weighs 70g.<br /><br />23. Adjusting rectangle side lengths alters the area by a specific percentage.<br /><br />24. Visualizing and rearranging shapes provides insights into area equivalence.<br /><br />25. Speed and distance calculations determine waiting time at a destination.<br /><br />26. Calculating angle measurements within a specific geometric shape.<br /><br />27. Using weights balances 13 distinct outcomes, testing limitations.<br /><br />28. Play dough cube formation demonstrates volumetric calculations.<br /><br />29. Counting caterpillar variations by color combinations equals ten types.<br /><br />30. Logical arrangement deduces the middle box has a coin based on provided clues.<br /><br />The problem set challenges various mathematical skills, including arithmetic, logic, geometry, and combinatorics, offering solutions in a clear and logical manner.
Keywords
Math Kangaroo 2000
solutions
Levels 5 and 6
arithmetic
geometry
combinatorics
prime factors
consecutive numbers
multiples
logical arrangement