2019_Questions_Grades 11-12-2019_Questions_Levels

2019_Questions_Levels_11&12

Pdf Summary

The Math Kangaroo 2019 competition for Levels 11 and 12 held on March 21, 2019, consists of 30 questions divided into various point categories. Each participant has 75 minutes to complete the test without using calculators and must record answers on a provided form.<br /><br />Problems are structured to test a range of mathematical skills including geometry, algebra, probability, and logical reasoning. Key questions involve applying concepts such as ratios in rectangles (Problem 1), operations with specialized calculations (Problems 6 and 9), and solving complex sequences or equations (Problems 16, 25, and 28).<br /><br />For geometry enthusiasts, Problem 3 involves identifying the largest shaded area in a given diagram, while Problem 5 requires calculating edges from triangular faces in a pyramid. Additionally, Problem 18 expands on geometry by asking contestants to find the area of a triangle using side lengths of squares.<br /><br />Probability concepts are tested, including calculating odds in a non-standard scenario, such as drawing candies (Problem 17), and logical deduction is needed to solve hat wearing scenarios involving three characters (Problem 14).<br /><br />Algebraic manipulation appears in scenarios like calculating the first digit of a specific sum (Problem 7), or deducing integers that make an equation output a prime number (Problem 26). Problem 20 touches on understanding order of operations in calculations.<br /><br />A stronger grasp of divisors and their applications is required in Problems 11 and 21 which involve analyzing divisors' powers and their summation.<br /><br />The competition pushes participants to utilize skills beyond textbook knowledge, encouraging critical thinking and adaptability with problem-solving under time constraints.

Keywords

Math Kangaroo 2019

Levels 11 and 12

geometry

algebra

probability

logical reasoning

ratios in rectangles

order of operations

divisors

problem-solving