2021_Questions_Grades 11-12-2021_Questions_Levels

2021_Questions_Levels_11&12

Pdf Summary

The Math Kangaroo 2021 competition for Levels 11 and 12 consists of 30 mathematical problems to be completed in 75 minutes without the use of calculators. The questions vary in difficulty and are divided into three groups, awarding 3, 4, or 5 points each.<br /><br />Sample questions in the test include:<br /><br />1. Reading and interpreting graphs, such as predicting weather temperatures.<br /><br />2. Calculating specific numbers within intervals, such as finding the number of integers in a given range.<br /><br />3. Geometric calculations, involving cubes, cuboids, and surface areas.<br /><br />4. Probability and combinatorial puzzles, such as determining divisibility by 3 or finding proportions of shaded areas within geometric figures.<br /><br />5. Logical reasoning and problem-solving, such as finding the correct arrangement of people or animals with conditions, or determining mathematical functions’ outputs.<br /><br />6. Algebraic problem solving, such as maximizing or minimizing functions, calculating areas, or deriving formulas from given conditions.<br /><br />7. Application of number theory concepts, like evaluating products of numbers’ digits or understanding functions expressed with operations on their arguments.<br /><br />The test challenges participants in a variety of mathematical disciplines, testing critical thinking, algebraic manipulation, geometrical reasoning, and probability. Each question provides multiple-choice answers, allowing participants to select the best fit. The competition is part of an international event promoting interest and skills in mathematics among students globally.

Keywords

Math Kangaroo 2021

Levels 11 and 12

mathematical problems

75 minutes

difficulty levels

graph interpretation

geometric calculations

probability puzzles

logical reasoning

number theory