2009_Questions_Grades 11-12-2009_Questions_Levels

2009_Questions_Levels_11&12

Pdf Summary

The Math Kangaroo 2009 paper for Levels 11-12 consists of multiple-choice problems intended for high school students. The questions are categorized into different point values, with the initial section featuring 3-point questions designed to assess various mathematical concepts.<br /><br />Key examples include:<br />1. Finding the second element of an arithmetic sequence given the first and third elements.<br />2. Determining the greatest number among fractions.<br />3. Identifying positive integers that result in a prime outcome from a given operation.<br /><br />Further, more complex problems are introduced in the 4-point and 5-point categories:<br />11. Calculating the area of a hexagon based on the known area of a triangle.<br />12. Deducing the number of pale kangaroos in a group based on their height comparisons with dark kangaroos.<br />13. Measuring the distance a billiard ball travels after bouncing off the sides of a square table.<br />14. Calculating the distance between the centers of two intersecting circles given their radii and the distance between their points of intersection (PQ).<br /><br />Additionally, the document features problems involving logical reasoning related to truth-telling versus lying from inhabitants of an island, constructing an opaque cube with minimum resources, and evaluating complex mathematical sequences and divisibility issues.<br /><br />These questions cover a wide range of mathematical disciplines, including algebra, geometry, number theory, and combinatorics, aiming to evaluate students' problem-solving skills, logical thought processes, and ability to apply mathematical principles to diverse scenarios. The Math Kangaroo competition is known for its creative and challenging questions spanning from relatively straightforward problems to intricate puzzles, providing a comprehensive test of students’ mathematical capabilities.

Keywords

Math Kangaroo

2009 paper

Levels 11-12

multiple-choice

arithmetic sequence

fractions

prime numbers

geometry

logical reasoning

combinatorics