problem Favourite Harmonically Age 16 to 18 Challenge level Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?
problem Favourite Curved square Age 16 to 18 Challenge level Can you find the area of the central part of this shape? Can you do it in more than one way?
problem Favourite Normal intersection Age 16 to 18 Challenge level Explore the intersection possibilities for normal pdfs.
problem Favourite Area l Age 16 to 18 Challenge level By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
problem Integral inequality Age 16 to 18 Challenge level An inequality involving integrals of squares of functions.
problem Mind your ps and qs Age 16 to 18 Challenge level Sort these mathematical propositions into a series of 8 correct statements.
problem Integration matcher Age 16 to 18 Challenge level Can you match the charts of these functions to the charts of their integrals?
problem Operating machines Age 16 to 18 Challenge level What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?