Lesson Plans SET A for Grades 9-10-Lesson 4 Logical Reasoning Homework

Lesson 4 Logical Reasoning Homework

Pdf Summary

The document presents a set of logical reasoning problems categorized under Level 9-10 from a Math Kangaroo class, aiming to bolster students' skills and understanding of logic concepts. Here’s a summary of each problem:<br /><br />1. **Dice Problem:** Anna uses a 6-sided die, and the objective is to determine the sum of numbers visible from the left perspective based on provided diagrammatic recordings of die faces.<br /><br />2. **Ages Problem:** Four people have a total age sum of 129, with three having ages that are perfect squares. Fifteen years ago, conditions were similar. The task is to determine their current ages.<br /><br />3. **Coin Weighing Problem:** From 28 coins, with one counterfeit (unspecified whether it's heavier or lighter), conduct exactly four balance scale weighings to identify and determine the weight nature (lighter/heavier) of the counterfeit coin.<br /><br />4. **Hexagon Coloring Problem:** In a colored hexagon with sides and diagonals painted red or blue, demonstrate that it's always possible to find at least one triangle where all three sides share the same color.<br /><br />5. **Argument Validity Problem:** Evaluate the validity of three arguments using Venn diagrams:<br />   - (a) Concerning logical deductions about successful people and those disheartened by setbacks.<br />   - (b) Associating medical doctors with college graduates and musicians.<br />   - (c) Involving preferences and recommendations of different types of books, determining the logical correctness of stating that adventure books are well-written.<br /><br />These problems are designed to foster analytical thinking and reasoning skills in a mathematical context, encouraging students to review class notes and instructor materials for additional support.

Keywords

logical reasoning

Math Kangaroo

dice problem

ages problem

coin weighing

hexagon coloring

argument validity

analytical thinking

mathematical context

Venn diagrams