Lesson Plans SET B for Grades 3-4-Homework Level 3-4 Lesson 5

Homework Level 3-4 Lesson 5 - Guess and Check

Pdf Summary

The Math Kangaroo Class Level 3-4 Guess and Check Homework consists of five problems aimed at enhancing students' problem-solving skills through exploratory methods. The exercises present real-world scenarios requiring mathematical reasoning.<br /><br />1. **Digit Removal Problem:** The task is to determine which four digits must be removed from the eight-digit number 38457912 to yield the largest possible four-digit number. The solution entails removing digits 3, 4, 5, and 7, resulting in the number 8912.<br /><br />2. **Marbles Problem:** Eleven children collectively possess marbles totaling a five-digit number of the form 5_0. The objective is to deduce the middle digit of this number. The answer is the digit 5, suggesting each child has on average 50 marbles, creating a total of 550.<br /><br />3. **Square Sum Problem:** Within a 4x4 grid of numbers, the aim is to find a 2x2 subgrid having the greatest sum of its contained numbers. The solution, a subgrid located within the larger grid, yields a sum of 10.<br /><br />4. **Duke's Name Problem:** The king attempts five times to remember a duke’s name, each attempt securing two correct names in the right positions. The correct name, combining deduced positions from the attempts, is Robert Edward George Alexander.<br /><br />5. **Funnyfeet Problem:** In a fictional setting, the differing shoe size requirements for men and women necessitate efficient shoe usage among a group to minimize leftovers, yet two shoes remain unused. The problem involves deducing the minimum number of people in this group, resulting in a necessity for at least four individuals.<br /><br />The answers showcase various mathematical techniques, such as logical reasoning and arithmetic evaluation, suitable for young learners engaged in competitive problem-solving activities.

Keywords

Math Kangaroo

problem-solving

digit removal

marbles

square sum

Duke's name

Funnyfeet

logical reasoning

arithmetic evaluation

competitive activities