2016_Questions_Grades 11-12-2016_Questions_Levels

2016_Questions_Levels_11&12

Pdf Summary

The Math Kangaroo 2016 competition for levels 11 and 12 consists of a 75-minute test with 30 questions, distributed across four pages. Calculators are not permitted, and participants must record their answers on a separate answer sheet, including their name and ID.<br /><br />The questions are divided into different point categories, starting with 3 points. Examples of these questions include arithmetic and algebraic problems such as determining the oldest age from given age sums, calculating the sum of decimal numbers, or identifying valid or invalid shapes for a given scenario. The test also includes logical reasoning problems involving configurations of integers, geometric puzzles, and algebraic equations.<br /><br />More complex, 4-point questions challenge participants with algebraic and geometric conceptual questions, involving pyramids, inscribed circles, and specific configurations with properties such as symmetry or equality condition. Participants must demonstrate a deeper understanding of mathematical relationships and logical deduction skills.<br /><br />Finally, the 5-point questions demand advanced problem-solving skills and creativity in areas involving more sophisticated concepts such as functions, geometry in three dimensions, numerical puzzles with specific divisibility conditions, and contextual setups requiring multiple steps to ascertain viable solutions.<br /><br />Throughout these problems, students encounter various mathematical disciplines such as number theory, algebra, geometry, and logic, engaging them in exercises designed to test and stimulate their critical thinking and problem-solving abilities. The competition encourages mathematical exploration and comprehension rather than reliance on computational tools.

Keywords

Math Kangaroo

competition

levels 11 and 12

arithmetic

algebra

logical reasoning

geometry

problem-solving

critical thinking

mathematical exploration