1

Part of 2014 BMT Spring

Problems(5)

BMT 2014 Spring - Geometry 1

Source:

Consider a regular hexagon with an incircle. What is the ratio of the area inside the incircle to the area of the hexagon?

2014 BMT Team 1

Source:

What is the value of

1 + 7 + 21 + 35 + 35 + 21 + 7 + 1

BMT 2014 Spring - Analysis 1

Source:

Find all real numbers

x

4^x-2^{x+2}+3=0

algebraequations

BMT 2014 Spring - Discrete 1

Source:

For the team, power, and tournament rounds, BMT divided up the teams into

14

rooms. You sign up to proctor all

3

rounds, but you cannot proctor in the same room more than once. How many ways can you be assigned for rooms for the

3

BMT 2014 Spring - Individual 1

Source:

A festive number is a four-digit integer containing one of each of the digits

0, 1, 2

4

in its decimal representation. How many festive numbers are there?