2020_Questions_Grades 11-12-2020_Questions_Levels

2020_Questions_Levels_11&12

Pdf Summary

The Math Kangaroo 2020 competition for Levels 11 and 12 was held on March 19, 2020, in the USA. It featured an international mathematics competition format, consisting of 30 questions spread over four pages with a time limit of 75 minutes for completion. Calculators were not allowed, and participants had to enter answers on a provided answer form after identifying themselves with their name and ID number.<br /><br />The questions ranged in difficulty and included various mathematical challenges, each assigned different point values based on their complexity. Questions tackled topics like simple arithmetic, geometry, algebra, combinatorics, and probability. For example, participants were asked to find the sum of the last two digits of a specific product, determine the new length of a path impeded by obstacles, calculate areas, determine ratios of triangle areas, and solve probability challenges.<br /><br />A range of problem-solving skills was required, including mathematical reasoning, pattern recognition, calculation without technological aids, and understanding diagrams and charts. Some specific questions involved activities like identifying the parity of terms within a sequence, computing probabilities with dice exhibiting specific colors, and addressing geometric problems involving overlapping rectangles and square compositions.<br /><br />Some questions in the higher difficulty tier involved strategic reasoning, including interpreting cryptic dialogues about shape and color to deduce a favorite figure, or calculating volumes of geometric shapes with constraints detailed in a narrative.<br /><br />Overall, this competition served as an engaging test of young mathematicians' analytical abilities and problem-solving skills, reflecting a blend of classical mathematics challenges with inventive twists typical of Math Kangaroo exams.

Keywords

Math Kangaroo 2020

international mathematics competition

Levels 11 and 12

arithmetic

geometry

algebra

combinatorics

probability

problem-solving skills

analytical abilities