problem Reaction timer Age 11 to 14 Challenge level This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
problem In the bag Age 11 to 14 Challenge level Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?
problem Data matching Age 14 to 18 Challenge level Use your skill and judgement to match the sets of random data.
problem Very old man Age 16 to 18 Challenge level Is the age of this very old man statistically believable?
problem Substitution Cipher Age 11 to 14 Challenge level Find the frequency distribution for ordinary English, and use it to help you crack the code.
problem Litov's Mean Value Theorem Age 11 to 14 Challenge level Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
problem Inspector Morse Age 11 to 14 Challenge level You may like to read the article on Morse code before attempting this question. Morse's letter analysis was done over 150 years ago, so might there be a better allocation of symbols today?
problem Tree tops Age 14 to 16 Challenge level Can you make sense of information about trees in order to maximise the profits of a forestry company?
problem Winning Team Age 11 to 14 Challenge level Nine cross country runners compete in a team competition in which there are three matches. If you were a judge how would you decide who would win?