This is our first collection of stage 5 epsilons. An epsilon problem is quick to read and understand. They might not be so easy to solve!
Epsilons will be good for filling spare mathematical moments. Why not carry a few around with you?
What is the smallest perfect square that ends with the four digits
If x, y and z are real numbers such that: x + y + z = 5 and xy + yz
+ zx = 3. What is the largest value that any of the numbers can
Find the shape and symmetries of the two pieces of this cut cube.
The familiar Pythagorean 3-4-5 triple gives one solution to (x-1)^n
+ x^n = (x+1)^n so what about other solutions for x an integer and
n= 2, 3, 4 or 5?
Prove that sqrt2, sqrt3 and sqrt5 cannot be terms of ANY arithmetic
If for any triangle ABC tan(A - B) + tan(B - C) + tan(C - A) = 0
what can you say about the triangle?