2000_Questions_Grades 7-8-2000_Questions_Levels

2000_Questions_Levels_7&8
Pdf Summary
The Math Kangaroo 2000 Level 7-8 challenges students with a series of math problems divided into three categories based on point values: 3-point, 4-point, and 5-point problems. <br /><br />3-Point Problems:<br />1. Reflection problem related to telling time from a mirrored wall clock.<br />2. Area proportion problem involving enlarging a photograph and determining the part that is white.<br />3. Time calculation problem involving elapsed time from 11:11 AM to 1:13 PM.<br />4. Finding the greatest number problem.<br />5. Geometry problem related to a hexagon's diagonals' intersection points.<br />6. Identifying an isosceles triangle problem.<br />7. Division of a line segment by points into different lengths.<br />8. Series problem involving consecutive odd numbers summing to a given number.<br />9. Geometry problem involving angles in a described figure.<br />10. Work rate problem with time calculation for multiple tasks.<br /><br />4-Point Problems:<br />11. Shaded area calculation problem.<br />12. Algebraic expression problem involving hidden digits replaced by letters.<br />13. Logic problem based on eliminating impossible greetings.<br />14. Geometry problem involving circle area and angle measure.<br />15. Currency conversion problem involving pennies, ducats, and talars.<br />16. Subtraction problem involving three-dimensional block removal.<br />17. Average calculation problem from a jury's scores.<br />18. Packing problem for creating a cube from rectangular blocks.<br />19. Problem about identifying opposite faces on a cube from a pattern.<br />20. Age-related algebra problem with future predictions.<br /><br />5-Point Problems:<br />21. Problem involving the area of a parallelogram in a rectangle.<br />22. Probability and counting problem with beads.<br />23. Proportional geometry problem involving parallel segments.<br />24. Game result problem with token ratios and changes.<br />25. Number series problem involving products of factors.<br />26. Problem involving the transformation of rectangle area due to magical properties.<br />27. Clock problem involving angle calculation between hands at a specific time.<br />28. Analysis of geometric triangles based on properties and conditions.<br />29. Cube pattern problem focusing on edge coloring.<br />30. Final digit calculation for a power of a number.<br /><br />Overall, these problems challenge students to apply their knowledge in geometry, arithmetic, algebra, number theory, and logical reasoning, testing their problem-solving skills in imaginative and varied settings.
Keywords
Math Kangaroo
Level 7-8
geometry
arithmetic
algebra
number theory
logical reasoning
problem-solving
3-point problems
5-point problems