MathDB

BMT 2017 Spring - Geometry 3

Source:

12/30/2021

Let

ABCDEF

be a regular hexagon with side length

1

. Now, construct square

AGDQ

. What is the area of the region inside the hexagon and not the square?

geometry

2017 BMT Team 3

Source:

1/6/2022

Suppose we have

w < x < y < z

, and each of the

6

pairwise sums are distinct. The

4

greatest sums are

4, 3, 2, 1

. What is the sum of all possible values of

w

?

algebra

2017 BMT Individual 3

Source:

1/9/2022

How many letters in the word UNCOPYRIGHTABLE have at least one line of symmetry?

geometry

2017 BMT Discrete #3

Source:

3/9/2024

What is the smallest positive integer with exactly

7

distinct proper divisors?

number theory

2017 BMT Analysis #3

Source:

3/10/2024

Compute

\int^9_{-9}17x^3 \cos (x^2) dx.

algebracalculusintegration

3