2012_Questions_Grades 11-12-2012_Questions_Levels

2012_Questions_Levels_11&12

Pdf Summary

The document is an examination paper for the Math Kangaroo 2012 competition, held on March 15, 2012, specifically for Levels 11 and 12. This international mathematics competition is structured in the United States by the Mathematics Promotion Society. Over four pages, the test presents 30 multiple-choice questions, divided into categories based on the difficulty and point value: 3-point, 4-point, and 5-point problems. Participants are given 75 minutes to complete the test without the use of calculators, and answers are to be marked on a separate answer sheet.<br /><br />Each question aims to test various mathematical skills, including algebra, geometry, number theory, and logical reasoning. For example, the first problem involves analyzing water levels at a port city, the second tests knowledge of roots and powers, and later problems include folding paper to form specific shapes and understanding the effects of rotating an ellipse.<br /><br />Some problems involve abstract or higher-level concepts, such as deriving and manipulating mathematical functions or solving equations involving real numbers and inequalities. The exam has puzzles like determining angles in geometric shapes and reasoning through theoretical situations, like the movement of cats in a room based on certain conditions.<br /><br />Overall, the test challenges participants to apply mathematical concepts creatively and accurately in a limited amount of time, showcasing both fundamental principles and complex problem-solving techniques typical of high-level competitive mathematics.

Keywords

Math Kangaroo

2012 competition

Levels 11 and 12

Mathematics Promotion Society

multiple-choice questions

algebra

geometry

number theory

logical reasoning

problem-solving