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

Homework Level 5-6 Lesson 5 - Factors and Multiples

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This Math Kangaroo homework for levels 5-6 focuses on factors and multiples, presenting a series of problem-solving tasks:<br /><br />1. **Two-digit Numbers Divisible by Both 3 and 7**: The task is to find how many two-digit numbers are divisible by both 3 and 7. The solution has identified four such numbers: 21, 42, 63, and 84.<br /><br />2. **Syncing Visits at the Computer Lab**: The problem involves people visiting a computer lab on regular schedules to determine when they all will meet again. The solution concludes they will all be there together again in 120 days, based on the least common multiple of their visitation frequencies.<br /><br />3. **Divisors of a Number**: The number is expressed as a product \(3 \times 5 \times 7 \times 11 \times 13\). The problem asks for the count of all its divisors, which would be 32.<br /><br />4. **Divisible Six-digit Numbers**: This asks for six-digit numbers in the form 2_381_ that are divisible by 18, with all differing digits. The solution finds four such numbers: 243810, 203814, 293814, and 273816.<br /><br />5. **Packing Marbles in Boxes**: Given 264 blue and 168 yellow marbles, the task is to find the smallest number of boxes required if each box contains the same number of one-colored marbles. The resolution finds 18 boxes are needed: 11 blue marbles per box and 7 yellow marbles per box, based on their greatest common divisor.<br /><br />These problems cover various aspects of number theory, including concepts of divisibility, least common multiples, and combinatorics.

Keywords

Math Kangaroo

factors

multiples

divisibility

least common multiple

divisors

number theory

combinatorics

greatest common divisor

problem-solving