Think Thrice Problem Solving

Cambridge Interview! Write sqrt(3-2sqrt(2)) in the form a+b sqrt(c)...

Basketball Math??? Will the shooter have to hit exactly 75% of his shots?

MIT Integration Bee! x^3e^(x^2). Solve this fun integral!

MIT Integration Bee! arcsin(cos(x)). Solve this fun integral!

MIT Integration Bee! 1/(1+sin(x)) Solve this fun integral!

MIT Integration Bee! 1/(sqrt(x)(sqrt[4](x)+1)^10). Solve this fun integral!

MIT Integration Bee! x^9/(x^20-48x^10+575). Solve this fun integral!

x^ln(x)=2?? How can we calculate x?!?

Geometry! What is the value of x with these three squares in an equilateral triangle???

Geometry! What is the area of the gold region with these two circles inscribed in a rectangle??

Sqrt(x)+sqrt(y)=sqrt(2009); can we calculate y and x?!?

Solve a really cool limit using the definition of integration! Lim(n!/n^n)^(1/n)

Geometry! What is the area of the triangle between three other triangles in a rectangle??

What can n be?? (N^3+100)/(n+10) is an integer???

Sqrt(x)+y=7, x+sqrt(y)=11. How can we calculate y and x?!?

A cool number theory problem! What are x and y???

Geometry! What is the ratio of areas between the red square and blue square in an ellipse??

Infinitely Nested Root 2s: sqrt(2*sqrt[3](2*sqrt[4](…)))?

Some fun algebra/integration: Int( ln*3x^2+6x+3)-2ln(x+1) )dx.

Geometry! What is the area of a circle not shared with the two outside circles??

No Real solutions? What about Imaginary?: Solving sin(sin(x))=1

A beautiful substition in an integral: Int( x(1-x)^2015 )dx.

1^x+10^x=100^x?? How can we calculate x?!?

Fibonacci Sequence! … a solution for the nth term in the sequence???

Geometry! What is the ratio of areas between the red square and blue square??

A really useful method for solving limit problems (Conjugate Multiplication)

Derivative of x^x ???

An Infinite Differential Equation?!?: y=y'+y''+y'''+y''''+...

x^x=x^3?? How can we calculate x?!?

Geometry! What is the area outside of the circle inscribed in the quarter circle??