explore the dynamics of each round

After the QUALIFYING ROCKS competition online, REGIONALS contain up to 9 assessed rounds. These are:

Purpose |
To inspire strategic thinking to win a quick 1v1 mathematical game. |

Duration |
Heats: About 1 hour |

Style |
Participants face each other one v one in a short game and so face multiple opponents. Subtle rule changes may happen at any time. |

Nature of submission |
After each duel, 3 stickers are awarded for a win, 1 for a draw and 0 for a loss. |

Purpose |
To spark one's creativity when asked to find mathematical patterns from limited data. |

Duration |
Heats: 8 codes with ~8 missing data points Finals: Also 8 codes with ~8 missing data points |

Style |
For each code, two data pairs are projected in sight. The next data pair will have one of its values missing, and participants must identify this missing value. If correct, they receive a sticker and it is then revealed on screen. This process is repeated for each code. Codes could be mathematical or abstract. |

Nature of submission |
Heats: Write the missing value on a grid within the time limit. One sticker is awarded immediately for each correct answer. Finals: Finalists are positioned in a curve facing a projected screen. In turn, they have to quickly say out loud the next data value. If correct, a sticker is awarded. If not, the next participant attempts the same one. |

Notes |
Script to be read out before/during the roundThe number of stickers determine a participants ranking. Adjudicators use this scoring sheet. |

Purpose |
To demonstrate knowledge through collaboration by solving mathematical problems in a sequential, fun and lively atmosphere. |

Duration |
About 1 hour |

Style |
Each team is allocated a desk within a column of desks. A runner goes to the back of their column and back again to collect a question and then completes the lap back to their team. When a solution is written on the question paper, the runner returns along the same route for marking. |

Nature of submission |
Solutions are written on the question sheet. If it is correct at their first attempt, they earn 3 points and receive the next question. If it is correct at their second attempt, they earn 2 points and receive the next question. If it is correct at their third attempt, they earn 1 point and receive the next question. If it is incorrect at their third attempt, they may immediately 'pass' and move onto the next question. They may also continue to attempt that question, and when correct will still earn 1 point. At the end of the round, teams on the same points with fewer passes will be ranked higher. |

Notes |
Script to be read out before/during the roundOnce a question is passed, teams may not return to it. Adjudicators use this scoring sheet. |

Purpose |
To cooperate with others in strategising to solve cipher codes. |

Duration |
About 1.5 hours |

Style |
Teams are set-up around desks in the hall space. They choose codes to solve from a 4 by 4 square grid, all teams start from cell C2. There are 12 different types of code, placed within 4 groups, to attempt (refer to hyperlinks below). When deciphered correctly, a simple mathematical question is revealed which must be answered. A bonus point is awarded for each answer encoded with the same cipher. |

Nature of submission |
The runner chooses which of the 16 ciphers to solve (all are issued with C2 first) and returns with their answer written on the question paper. That cell is then marked with correct or incorrect, and the team cannot attempt that cipher again. The runner selects another available cipher. |

Notes |
The scoring is as follows: For every row and column, sum the (number of continuous solved ciphers)^{2}. Then there is a bonus point for each answer encoded using the same cipher.It is very wise for all Senior and Junior Finalists to consult this web resource to learn the 12 cipher types they will encounter.The Senior level Grid and encryption hint sheet provided during the round are here, and the equivalent Junior level ones are here. |

Purpose |
To test one’s mathematical knowledge and skills in a conventional, yet challenging way. |

Duration |
1.5 hours |

Style |
A traditional multi-choice response examination paper. |

Nature of submission |
Write each choice on the response sheet. |

Notes |
Simple marking: 1 for correct, 0 for incorrectScript to be read out before/during the round |

Purpose |
To combine strategic thinking with communication skills when answering maths questions as quickly as possible. |

Duration |
2 sets of 30 mins. Each set has 8 questions to answer. |

Style |
Each team has a desk within a large loop around the space, and 8 questions. There are 4 stations, each with 2 postboxes, spread evenly around the loop. Teams can choose to answer any question, and a runner deposits an agreed solution into the appropriate postbox by following the loop in a particular direction. This is repeated after 30 minutes with another set of 8 questions, and the runners direction around the loop is reversed to ensure fairness. |

Nature of submission |
Solutions are written on their corresponding question papers and must be deposited upside down in the correct postbox. |

Notes |
Script to be read out before/during the roundEarlier correct deposits are awarded more points than later ones. Incorrect solutions receive zero points. Teams are not expected to answer all questions in the time allotted. Adjudicators use this scoring sheet. |

Purpose |
To encourage creativity when presenting broader mathematical concepts through a given stimulus. |

Duration |
Session 1: Creating a mathematical problem with solution before the competition starts Session 2: Solving each others crafted problems |

Style |
Session 1: Use the provided stimulus to create a mathematical problem with solution that could directly help the world. Session 2: The mathematical problems are worked through by all teams, which are then graded through this rubic. |

Nature of submission |
Session 1: In the week before the competition, teams upload their problem with solution using the link provided. Session 2: The problem-solving is also within a learning environment. |

Notes |
Emphasis is on creating a good, mathematically understood, problem.Script to be read out before session 2 |

Purpose |
To apply strategic problem-solving to a real-world context. |

Duration |
About 2 hours |

Style |
Each team is given a practical problem, and provided the same set of resources and equipment to address it. Making calculations are an essential part of the process. |

Nature of submission |
Teams will create a model to solve their problem. When the time is up, each model will be tested, resulting in a distance or time measurement. |

Purpose |
To enhance one’s conceptual knowledge under timed pressure. |

Duration |
About 1 hour |

Style |
Teams sit as a pair and as a single opposite each other. There are 12 questions in total. After a set of 4 questions, the team members rotate once, so all experience being in every position. Each question has 3 stages: stage C requires a result from stage B which requires a result from stage A. Stage A and C are answered by the pair and stage B is answer by the single. So within each question, the answer of stage A is passed to the single who uses it and then passes the answer of stage B back to the pair to answer stage C. Only positions A and C may verbally communicate with each other. Although teams are allowed to send back answers they think are incorrect, this is not common. |

Nature of submission |
Answers to stage A and B contribute towards the solution obtained after stage C. The response sheet is then held in the air as a final submission. |

Notes |
Script to be read out before/during the roundCorrect answers from Stages A, B and C are worth 2, 3, and 4 points each respectively. Adjudicators use this scoring sheet. |

The WMC Senior and Junior Finals also contain these aditional 3 assessed rounds. These are:

Purpose |
To creatively use and manipulate big data in such a way to make predictions about an issue of global significance. |

Duration |
About 2 hours |

Style |
Using a computer with a spreadsheet of data. |

Nature of submission |
On paper showing what data manipulation was carried out to arrive at the prediction. |

Purpose |
To develop ingenuity while solving divergent, limited data problems. |

Duration |
Within 1 hour each |

Style |
Each team creates a poster responding to a specified problem. There are 2 types of Open tasks: Estimation and Problem-solving. Prime Plus level engage in only a Problem-solving task. |

Nature of submission |
Handed over (with team name on the back) to the lead adjudicator upon completion, it will be graded through this rubic. |

Notes |
The emphasis is on how thought processes are communicated on paper.Script to be read out before/during the round |

Purpose |
To cooperate in using mathematical knowledge to work in unfamiliar contexts |

Duration |
About 1 hour |

Style |
Senior Level: Be familiar with simplified applications of graph theory and properties of common graphs. Junior Level: Working at a large wipe board within a University faculty room, team members provide a mathematical proof for each of the statements provided. |

Nature of submission |
Senior Level: Prepare any type of video, up to 5 minutes long, containing solutions to the problems presented, and upload it to the hyperlink provided on the day. Up to 10 marks are available for each question. Junior Level: Written proofs on a wipe board can receive up to 4 marks each: 4 : Complete, concise and well explained 3: Complete, but inconcise or not well explained 2: Good progress made, a crucial step (or a few minor ones) missing 1: An appropriate attempt made 0: Nothing relevant enough |

Notes |
Senior Level: Teams work in any space convienient to them during the time frame for the round. An Internet connection is required (within Trinity College this is fine) to upload the final submission video. Junior Level: Teams may return to a previously incomplete proof at any time. Adjudicators circulate and mark each proof before the team wipe it from the board. The proofs include a range of topics from within the themes for conceptual learning: Algebra, Geometry, Number theory, Statistics, Calculus. Adjudicators use this grading sheet during the round. |