First of all, pick the number of times a week that you would like
to eat chocolate. Multiply this number by 2...
Show that if you add 1 to the product of four consecutive numbers
the answer is ALWAYS a perfect square.
For which values of n is the Fibonacci number fn even? Which
Fibonnaci numbers are divisible by 3?
With red and blue beads on a circular wire; 'put a red bead between
any two of the same colour and a blue between different colours
then remove the original beads'. Keep repeating this. What happens?
A sequence of polynomials starts 0, 1 and each poly is given by
combining the two polys in the sequence just before it. Investigate
and prove results about the roots of the polys.
Felix, Matthew, Alice, Robert,Hayden, Jenna, Catherine, James, James,
Nick,Kieran, Kayleigh, Bethany, Luke and Matthew, all from Cupernham
School; Andrei of School 205, Sophia of Stamford High School and Matthew of
Finley Middle School all sent in correct solutions.
Go to last month's problems to see more solutions.
How can we solve equations like 13x + 29y = 42 or 2x +4y = 13 with
the solutions x and y being integers? Read this article to find
A game for 2 people, or play online. Given a target number,say 23, and a range of numbers to choose from, say 1-5, players take it in turns to add to the running total to hit their target number.