Grades 9-10 Video Solutions 2012-Grades 9-10 Video Solutions 2012 part3

Video Transcription

Video Summary

The given video transcript provides solutions to several mathematical problems. Firstly, Anne wrote an equation involving prime factorization of 2012 and deduced that the solution is k = 9. The subsequent problem involves creating a necklace by combining chain links, requiring opening 8 links to accomplish this. Then, the task of calculating the area of a folded piece of paper is addressed, resulting in an area of 47 cm². A relative problem dealing with train lengths derives that one train is twice as long as another. The transcript also addresses a set of six positive integers and the condition of divisibility, concluding that n = 24 is the smallest value satisfying these conditions. Following is a calculation involving the product of the digits of numbers from 1 to 9, producing a total from all products of these numbers, giving 45³ as the solution. Another problem finds the column with the largest sum of numbers in a sequence arranged in rows, deducing that the fifth column holds this largest sum. Lastly, the probability of dividing an octagon into exactly three regions using random line segments is calculated, resulting in a probability of 5/18.

Keywords

prime factorization

chain links

area calculation

train lengths

divisibility

digit product

octagon probability