Lesson Plans SET B for Grades 5-6-Homework Level 5-6 Lesson 5

Homework Level 5-6 Lesson 5 - Set B- Make a Table or List

Pdf Summary

This homework sheet consists of five math problems typically aimed at students participating in the Math Kangaroo competition, specifically targeting those in levels 5-6. The problems involve a range of mathematical concepts including algebra, number theory, and geometry.<br /><br />1. **Sum of Two Different Numbers**: The problem requires determining how many different sums can be obtained when adding any two numbers chosen from the set {2, 3, 4, 5, 6, 7}. The solution concludes there are 9 different possible sums, derived by pairing combinations ensuring no repetitions.<br /><br />2. **Two-Digit Numbers with Different Even Digits**: Students must find how many two-digit numbers can be created using only different even digits (0, 2, 4, 6, 8), avoiding repetition. The answer indicates there are 16 possible combinations.<br /><br />3. **Reading Pattern of Gloria**: Gloria reads a book by doubling the number of pages each day, starting with one page on Monday. The task is to determine the day she finishes a 240-page book. The solution shows she completes this task in a week, finishing on Monday.<br /><br />4. **Building Triangles from Segments**: Using segment lengths of 3, 5, 7, 9, 11, and 13, the problem challenges students to find how many sets of three segments can form a triangle. The answer given is 12 ways, adhering to the triangle inequality rules.<br /><br />5. **Dividing Participants into Groups**: Given 120 participants, the problem asks for dividing them into groups containing between 4 and 12 people. There are 6 possible division methods satisfying this criterion.<br /><br />These exercises are designed to develop problem-solving skills, logical reasoning, and an understanding of mathematical principles through practical and engaging questions. Each solution is provided, allowing students to check their work upon completion.

Keywords

Math Kangaroo

math problems

algebra

number theory

geometry

sum of numbers

even digits

reading pattern

triangle inequality

group division