You may also like

Archimedes and Numerical Roots

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

Rationals Between...

What fractions can you find between the square roots of 65 and 67?

Root to Poly

Find the polynomial p(x) with integer coefficients such that one solution of the equation p(x)=0 is $1+\sqrt 2+\sqrt 3$.

Lost in Space

Age 14 to 16 Challenge Level:

There are three ways to enter the triangular array of numbers in the diagram below, starting with 1, and counting from 1 -2 in order, finishing with the two in the bottom row.

1 121

How many ways are there to count 1 - 2 - 3 in the following array?

1 121 12321

And 1 - 2- 3 - 4 on this?

1 121 12321 1234321

Can you generalize?

1 121 ... 12345654321

Can you explain what you find?