2017_Questions_Grades 11-12-2017_Questions_Levels

2017_Questions_Levels_11&12

Pdf Summary

The Math Kangaroo 2017 competition for Levels 11 and 12 took place on March 16, 2017, as an international mathematics competition involving 30 questions spread over four pages. Participants had 75 minutes to complete the test without the aid of calculators, and answers were to be recorded on a provided answer form with personal details including name and ID number. <br /><br />The problems ranged in point value, with some explicitly assigned three points each, starting with questions like evaluating mathematical expressions or applying ratio conversions. For instance, one question asked about scaling a model in a ratio, another involved a bridge removal problem to disconnect islands, while further questions engaged algebraic relationships of number proportions.<br /><br />Moving into higher point value questions, the test included geometry problems involving circles and polygons, calculus and polynomial questions, as well as those involving probability and logical sequences. For example, questions explored topics like solving polynomial roots, calculating probabilities from experimental setups, and understanding relationships in graphs of complex functions.<br /><br />Advanced problems required knowledge of more abstract mathematical concepts, such as evaluating sequences or transformations in geometric structures. Some asked candidates to engage with puzzles on topics such as partner matching and algebraic manipulations.<br /><br />The test culminated with challenging problems, some valued at five points, concerning number theory, optimization, and logical deduction about unique mathematical setups, including formations in tables, evaluations of logical statements, and organizing items to ensure a favorable outcome in all possible scenarios.<br /><br />Overall, the Math Kangaroo 2017 test measured participants' understanding and application of mathematical principles across a wide array of topics. The questions not only targeted their ability to solve standard problems but also challenged creative and analytical thinking through more sophisticated scenarios.

Keywords

Math Kangaroo

2017 competition

international mathematics

Levels 11 and 12

geometry problems

algebraic relationships

probability

logical sequences

number theory

optimization