Lesson Plans SET B for Grades 7-8-Lesson 2-B Level 7-8 Number Theory Homework

Lesson 2-B Level 7-8 Number Theory Homework

Pdf Summary

This document provides a set of math problems for students at levels 7-8, focused on number theory, to practice skills and concepts from a Math Kangaroo class. Here is a summary of each of the problems:<br /><br />1. **Palindromic Numbers**: A palindromic number reads the same forwards and backwards. The task is to find the product of the smallest 4-digit palindromic number and the largest 3-digit palindromic number. The answer provided is 999999.<br /><br />2. **Unique Digit Sum**: Find the largest possible sum of three two-digit numbers such that no digit is repeated among them. The answer provided is 255.<br /><br />3. **Consecutive Integers**: When seven consecutive integers have an even sum, the problem asks to determine how many of them are odd. The answer given is four.<br /><br />4. **Stories Starting on Even-Numbered Pages**: A book has 20 stories, each of different lengths following a pattern (3, 6, 9, ...). The problem is to determine the maximum number of stories that start on an even-numbered page. The answer is 15 stories.<br /><br />5. **Sum of Digits**: This problem requires finding the first digit of the smallest natural number where the sum of its digits equals 526. The first digit of that number is 4.<br /><br />These exercises are designed to reinforce concepts from the lesson and are accompanied by the correct solutions for students to verify their work. Students are encouraged to use their notes, class slides, or recorded lectures if they need further clarification or practice on these topics.

Keywords

math problems

levels 7-8

number theory

Math Kangaroo

palindromic numbers

unique digit sum

consecutive integers

even-numbered pages

sum of digits

student practice