(TEAM CONTEST) – JUNIOR & SENIOR LEVEL
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality, and individuality. So, if you really like exercising your brain, figuring things round and round till your mind explodes, then ‘Mathmania’ is a competition for you. Mathmania is not just a competition but a plethora of Greek symbols, interlaced with numbers, which makes it seem like a clandestine code which must be deciphered. The real magic of this competition lies not with its method of execution, but its definite solutions founded on irrefutable proofs. So, get ready to be a part of Mathmania.
RULES:
1) All three participants will represent their team for this event, both at the Junior Level and the Senior Level.
2) They will have to solve six problems in the allocated one hour. Each problem carries 40 points.
3) The six problems will be arranged in increasing order of difficulty.
4) The three team members will be given 10 minutes to discuss and distribute among themselves the 6 questions. Each student must solve at least one question. No two team members will be given the same question to answer.
5) Team members will not be allowed to use a pencil or pen during the ten-minute discussion period.
6) They have the next 50 minutes to write independently the solutions to their allotted questions without further discussion or sharing of the questions.
7) Each question carries 40 points, and for Questions 1, 3 and 5, only numerical answers are required; no partial credits will be given.
8) There are no penalties for incorrect answers, but you must not give more than the number of answers being asked for. For questions asking for several answers, full credit will be given only if all answers are found correct.
9) For Questions 2, 4 and 6, full solutions are required for full credits. Partial credits may be awarded.