There are two sets of numbers. The second is the result of the first after an increase by a constant percentage. How can you find that percentage if one set of numbers is in code?
What's the most efficient proportion for a 1 litre tin of paint?
What angle is needed for a ball to do a circuit of the billiard table and then pass through its original position?
A finite area inside and infinite skin! You can paint the interior of this fractal with a small tin of paint but you could never get enough paint to paint the edge.
What is the total area of the triangles remaining in the nth stage of constructing a Sierpinski Triangle? Work out the dimension of this fractal.
Make a poster using equilateral triangles with sides 27, 9, 3 and 1 units assembled as stage 3 of the Von Koch fractal. Investigate areas & lengths when you repeat a process infinitely often.
Some excellent use of algebraic interpretation by Joan, Jia and Jeremy in the Inside Outside problem.
Go to last month's problems to see more solutions.
The harmonic triangle is built from fractions with unit numerators using a rule very similar to Pascal's triangle.
A Sudoku with a twist.
Match the cards of the same value.