Lesson Plans SET B for Grades 7-8-Lesson 9 Level 7-8 Logic-HW

Lesson 9 Level 7-8 Logic-HW

Pdf Summary

This document is a set of logic problems intended for practice, likely associated with a Math Kangaroo class. The problems are designed to reinforce the concepts covered in lessons and come with solutions. Here’s a brief overview of the problems and their solutions:<br /><br />1. **Tree Planting Problem:** The task is to determine the best region in a park with five trees and four paths for planting a new tree such that the number of trees on both sides of each path remains equal. Solution: The new tree should be planted in region C.<br /><br />2. **Grid Puzzle:** Jenny needs to fill the cells of a 3x3 grid so that all four possible 2x2 squares have the same sum. Given numbers in three of the corners, you must find the correct number for the fourth corner. Solution: The number 14 should be written in the fourth corner cell.<br /><br />3. **Coloring Circles:** Pablo colors six interconnected circles using three colors such that no two directly connected circles share the same color. The task is to identify which two circles necessarily share the same color in a specific scenario. Solution: Circles 1 and 5 are necessarily painted the same color.<br /><br />4. **Knights and Liars Problem:** Among three individuals in a room, one is asked a question, the answer is unclear, and the others make claims about the truthfulness of the response. The problem requires identifying which person is a liar. Solution: The third person is a liar, while the other two are knights.<br /><br />5. **Transportation and Color Trouble:** Three individuals (Carrie, Dorothy, Elaine) use different colored vehicles. Carrie likes orange but fears heights, Elaine’s vehicle isn’t green, and Dorothy drove a car. The challenge is to determine each person's vehicle and its color. Solution: Carrie uses an orange motorcycle, Dorothy uses a green car, and Elaine uses a blue helicopter.<br /><br />These problems encourage logical reasoning and problem-solving skills.

Keywords

logic problems

Math Kangaroo

tree planting

grid puzzle

coloring circles

knights and liars

transportation

problem-solving

logical reasoning

math practice