2000_Solutions_Grades 7-8-2000_Solutions_Levels

2000_Solutions_Levels_7&8
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The document contains solution suggestions for the Math Kangaroo 2000 competition problems targeted at Levels 7 and 8. Each problem is accompanied by its respective answer choice and a concise explanation of the solution.<br /><br />1. The mirror image of a clock displays 9:45.<br />2. The enlarged figures maintain a 20% white area.<br />3. From 11:11 AM to 1:13 PM, 2 hours and 2 minutes elapse.<br />4. Among the numbers given, 811 is the greatest.<br />5. In a hexagon, diagonals intersect at 13 points.<br />6. A triangle with angles of 50 and 80 degrees is isosceles.<br />7. Dividing a segment creates six parts with three different lengths.<br />8. Calculating the sum equation results in x being 11.<br />9. Adding angles in triangles gives BAD as 95.<br />10. Together, the trainer and his son take 90 minutes to wash three elephants.<br />11. The area of a shaded section is found to be 9.<br />12. For a specific condition, the pattern becomes AROOAROO.<br />13. Analyzing greetings, Mr. Q and Mr. T cannot greet each other.<br />14. The central angle AOB is calculated as 54.<br />15. Calculations show 100 talars equal 40 pennies, equivalent to 5 ducats.<br />16. Calculating the volume and blocks removed gives 300 remaining blocks.<br />17. The minimum number of jurors that fits conditions is 8.<br />18. Building a cube requires 18 rectangular blocks.<br />19. Designated side E is opposite marked side X.<br />20. Calculating Stephan’s future age results in "five."<br />21. Algebraic manipulation simplifies to concluding about shaded area proportions.<br />22. The remaining beads in Ana's box are green.<br />23. Summing the lengths of segments gives 35.<br />24. Tokens’ distribution shows John won, Karl lost, and Peter broke even.<br />25. Identifying prime conditions, number 21 fits the pattern.<br />26. After several wishes, the leather piece's pre-wish length calculation yields 12 cm.<br />27. The angle between clock hands at a certain time is 100 degrees.<br />28. Clear illustrations reveal four triangles.<br />29. Only one shape folds into a cube with edges of the same color.<br />30. The last digit of a large expression concludes with 6. <br /><br />These solutions provide reasoning for determining correct answers and understanding mathematical concepts.
Keywords
Math Kangaroo
Level 7
Level 8
problem solutions
mathematical concepts
geometry
algebra
clock angles
isosceles triangle
prime numbers