2015_Questions_Grades 11-12-2015_Questions_Levels

2015_Questions_Levels_11&12

Pdf Summary

The Math Kangaroo 2015 competition for Levels 11 and 12 consisted of 30 mathematics questions spread over four pages, and participants had 75 minutes to complete the test without the use of calculators. The competition included a variety of math problems that ranged from arithmetic and algebra to geometry and logic puzzles.<br /><br />Some sample questions include determining the age difference between siblings born in different years, evaluating algebraic expressions, and deducing solutions for equations. Other problems involved interpreting pie charts and bar charts to illustrate data, folding and cutting paper to understand spatial geometry, and covering 3D shapes with paper to comprehend surface area.<br /><br />Participants also tackled problems involving triangles with integer side lengths, calculating geometric means, understanding properties of shapes, and solving number theory puzzles like calculating sums of geometric series. The test challenged the students' critical thinking and problem-solving skills with a mix of straightforward and complex questions—some with only one answer option and others with more in-depth explorations, such as maximizing or minimizing values to meet given conditions.<br /><br />The competition, organized by Kangourou Sans Frontières and held in the USA, aimed to engage students with a broad range of mathematical concepts, encouraging creative and logical thinking. Students needed to carefully read instructions, understand mathematical properties, and apply their knowledge to solve each problem within the allotted time.

Keywords

Math Kangaroo 2015

Levels 11 and 12

mathematics competition

arithmetic

algebra

geometry

logic puzzles

critical thinking

problem-solving

Kangourou Sans Frontières