Chapter Competition

February 8, 2016
 

Chapter Competitions have officially begun! Let’s take a look at some of the questions we solved on last year’s Chapter Competition!

A set of six distinct positive integers has a mean of 8, a median of 8 and no term greater than 13. What is the least possible value of any term in the set?

[Sprint #18] 

 

Square ABCD measures 6 cm on each side. If the three interior segments divide the square into two congruent trapezoids and an isosceles triangle, all of equal area, what is the length of segment EF?

[Target #4] 

 

What is the greatest possible sum of the digits of a six-digit number that is a multiple of 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11?

[Team #6] 

 

 

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