Final Round Tesseract Math Competition 2025

Dates : January 25-26, 2024

Format : Offline in Neerja Modi School

Overview : The Final Round of the Tesseract Math Competition consists of a series of individual and team-based activities designed to test both mathematical skills and teamwork. The top 10% of teams from the Qualifying Round will compete in this two-day event. Teams will be assessed across multiple rounds, including problem-solving, speed-based challenges, and collaborative tasks.

Day 1

1. Individual Round

Duration : 1 hour

Number of Questions : 15

Format :

  • A combination of multiple-choice questions (MCQs) and subjective questions.
  • Each participant will receive the same set of questions.
  • Some questions will require detailed solutions, while others will test quick calculations and conceptual understanding.

Topics Covered :

  • Algebra : Advanced equations, polynomials, sequences, and series.
  • Geometry : Circles, triangles, transformations, and coordinate geometry.
  • Number Theory : Divisibility, modular arithmetic, and prime factorization.
  • Statistics : Probability, distributions, and descriptive statistics.

Scoring :

  • (A). MCQs
  • 4 points for correct answers
  • 1 point for unanswered questions
  • 0 points for incorrect answers
  • (B). Subjective Questions
  • Awarded up to 10 points each, based on the correctness and clarity of the explanation.

Instructions: :

  • Participants will work individually in this round.
  • They will be provided with scratch paper, and calculators are not allowed.
  • All answers must be submitted within the allotted time.
  • Points from this round will be added to the team’s overall score.

2. Team ‘Pass the Tesseract’ Round Table

2. Round Table (Team)

Duration : 105 minutes

Format :

  • Each team member solves an individual question, culminating in a master question requiring all solutions.
  • In this round, teams of four will take turns solving a series of math problems.
  • Each team member solves an individual question, culminating in a master question requiring all solutions.
  • One team member will start by solving the first problem. Once solved, they will “pass the baton” to the next member, who will solve the next problem, and so on.
  • The baton must be passed after each problem is solved, and only one member can work on a problem at any given time.

Structure :

  • Each team will receive a set of 10 questions.
  • Team members must solve the problems in order, one by one, and no skipping is allowed.

Topics Covered :

  • The questions will vary in difficulty and cover multiple topics, such as Algebra, Geometry, and Logical Reasoning.

Scoring :

  • 5 points for each correct answer
  • 2 points per correct individual answer and 7 marks for the correct master question.
  • No penalties for incorrect answers
  • Bonus points will be awarded to teams that complete all 10 questions within the time limit.

Instructions :

  • Teams will work together in a collaborative environment.
  • Team members cannot help each other during their turns but may discuss strategies between turns.
  • Team members cannot help each other while solving their individual questions but may discuss between problems or during the master question.
  • Timing and teamwork are crucial, so teams should plan how to best allocate members to different types of questions.

3. Crossword Puzzle Round

Duration : 60 minutes

Format :

  • Each team will receive a math-themed crossword puzzle, where the clues will be based on mathematical concepts and terminology.
  • Teams must work together to solve the crossword as quickly and accurately as possible.

Topics Covered :

  • Clues will span various mathematical topics, including but not limited to Algebra, Geometry, Number Theory, and Logical Reasoning.

Scoring :

  • Teams will be awarded points based on how many correct entries they make.
  • Bonus points will be awarded to teams that complete the puzzle before the time runs out.
  • Each correct entry is worth 3 points, and completing the puzzle within 20 minutes earns an additional 10 points.

Instructions :

  • Teams can divide tasks however they wish, with some members focusing on horizontal clues and others on vertical clues.
  • Collaboration and communication are key to solving the puzzle quickly and efficiently.

Day 2

4. Rapid-Fire Round

Duration : 20 minutes per block

Format :

  • This round is a fast-paced, head-to-head competition where teams will be presented with math problems and must solve them as quickly as possible.
  • Questions will be displayed on a screen, and the first team to buzz in gets the chance to answer.

Structure :

  • Each team will be given a buzzer, and questions will be presented one at a time.
  • If a team buzzes in and answers correctly, they receive points; if they answer incorrectly, the opposing team gets a chance to answer.

Topics Covered :

  • This round will focus on quick mental calculations and conceptual understanding of Algebra, Geometry, and Number Theory.

Scoring :

  • 10 points for each correct answer
  • -5 points for each incorrect answer
  • No penalty for skipping questions

Instructions :

  • Teams must be quick but cautious, as incorrect answers will cost them points.
  • The faster the team answers, the higher their chances of earning more points in this round.
  • The round will continue until all questions are answered or the time runs out.

5. Math Scavenger Hunt

Duration : 90 minutes

Format :

  • In this round, selected teams will be given a list of mathematical problems or riddles that need to be solved. The problems will be hidden around the venue, and teams must find and solve them within the allotted time.
  • Each problem will lead to the next clue, forming a continuous scavenger hunt.
  • Problems will be of varying difficulty, and some may require physical or interactive problem-solving techniques.

Structure :

  • Teams will receive the first clue at the starting point and must follow the trail of clues to find each problem
  • Teams must work together to solve the problems and reach the final destination.

Scoring :

  • Each correctly solved problem is worth 10 points.
  • The team that reaches the final destination first will receive an additional 20 points.
  • Accuracy is critical, as incorrect solutions will deduct 5 points per mistake.

Instructions :

  • Teams must stay together during the hunt and may not split up to solve different clues.
  • Communication and teamwork are essential, as some clues will require multiple steps to solve.
  • A time penalty will be imposed on teams found violating the rules.

Awards and Certificates Ceremony

After the conclusion of all the rounds, participants will be invited to the Awards and Certificates Ceremony, where the top teams and individuals will be recognized for their outstanding performances.

Awards Include :

  • Top Team (Junior and Senior): Trophies and certificates.
  • Top Individual (Junior and Senior): Trophies and certificates.
  • Special Recognition Awards: For creativity, teamwork, and problem-solving skills.
  • All participants will receive certificates of participation for reaching the Final Round.

Closing Remarks :

The Final Round will conclude with a celebration of mathematical excellence, recognizing the hard work, perseverance, and talent of all participants.

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