Grades 11-12 Video Solutions 2007-Grades 11-12 Video Solutions 2007 part2

Video Transcription

Video Summary

The video provides solutions to a sequence of math problems, focusing on logical deduction and geometric reasoning. It begins with determining the area covered by squares sharing vertices with a unit square ABCD, arriving at a solution of 7 by examining square placements and missing segments. Next, for the problem involving percentage comparisons of angles, it finds Angle C by setting up relational equations and concludes C is double of A. The subsequent problem involves integer solutions to an exponential equation, determined by rewriting in simpler forms and logic, leading to the value x=3. <br /><br />In addressing a sequence of cosines, it demonstrates symmetry and cancellation, except for cosine at 180 degrees, resulting in a sum of -1. The video also addresses geometric areas of semicircles with right triangle properties, resolving to 2π. Further, it uses a logic-based approach to discern values of triangle sides and ascertains the number of age-related occurrences based on factorization. The problem-solving extends to navigations through logic puzzles and algebraic manipulations within a Cartesian plane, each resolved through methodical consideration and applied deduction. Solutions are concluded with various correct answer options identified.

Meta Tag

Category Video Solutions

Level 11&12

Year 207

Keywords

logical deduction

geometric reasoning

exponential equation

cosine symmetry

Cartesian plane