Lesson Plans SET B for Grades 5-6-Homework Level 5-6 Lesson 6 - Set B- Work Backwards and Guess & Check

Homework Level 5-6 Lesson 6 - Set B- Work Backwards and Guess & Check

Pdf Summary

This document presents a set of math problems followed by their answers, focusing on the themes of working backwards and using guess-and-check strategies. The problems are designed for the 5th and 6th-grade level as part of the Math Kangaroo competition preparation or classwork. Here's a brief description of each problem along with the given solutions:<br /><br />1. **Age Problem**: Involves solving for Daniel's age given the relationship between his age and his brother's and father's ages. The solution is determined by setting equations based on the given conditions. Daniel is found to be 9 years old.<br /><br />2. **Dog Walking Problem**: Requires calculating the minimum number of walks Erica must take with 13 dogs, ensuring each dog is walked at least 5 times while each walk includes 7 dogs. The solution to this arrangement problem is 10 total walks.<br /><br />3. **Number Problem**: This problem involves deducing the original number Jason thought of, given the operations performed by Henry, Edwin, and Mary. By working backwards from Mary’s result, the original number is determined to be 6.<br /><br />4. **Marble Problem**: Entails following a sequence of actions involving marbles of three different colors. By simulating the described moves backward from the end state, the initial number of marbles is calculated to be 350.<br /><br />5. **Token Conversion Problem**: Focuses on finding the least number of actions Allison needs to achieve a certain number of total tokens using a machine with two different transformation actions. The minimum action count needed to reach 10 tokens is 10.<br /><br />The answers provided suggest logical reasoning and step-by-step computations to reach concise solutions to these problems, emphasizing skills valuable for mathematical problem-solving at this educational level.

Keywords

math problems

working backwards

guess-and-check

5th grade

6th grade

Math Kangaroo

age problem

dog walking

number problem

marble problem