What is MMT competition
The Mustang Math Tournament is a middle school math competition
run for middle school students around the world.
MMT is an important Math competition for High Achievers to attempt and improve their competitive math skills and ranking.
MMT was originally from the U.S., created by the Tournament Directors of the Stanford Math Tournament (SMT), Berkeley Math Tournament (BMT), and John Hopkins Math Tournament (JHMT), and now is the international competition!
Skills:
Competition math
Math community
Share ideas
Suggest projects
Real-life skills
The challenge is available for Year 5- Year 9 students.
Date and time: Sunday 29 September 2024, 13:00-20:15
Where: Online
Fee: $162.5 per student
Registering Deadline: Tuesday 3 September, 2024
PGA reserves the right to interpret all competition and course arrangements.
MMT Eligibility
MMT is now open to all Silver and Gold winners, and Perfect Scorers of:
-
AMO 2023,
-
SMGF 2024,
-
SASMO 2024, and
-
SIMOC 2024
Fees for the MMT is $162.5 per student.
Please note: If you registered after the deadline, the fees will be doubled.
The successful registration is confirmed upon receipt of the registration fee.
BANK: ANZ
Name of Account: Pinnacle Education Group
Account: 06-0241-0684634-00
Please make payment with the students 'full name + MMT ' as reference.
⚠️ Please note that any fees and payments made are non-refundable.
⚠️ Before you make any payment, make sure you read through the refund policy on our website to avoid misunderstandings.
(Terms and conditions apply).
PGA reserves the right to interpret all competition and course arrangements.
Register Now!
Competition date and time:
Sun 29 September 2024 at 1:00 pm (NZ Time)
Closing date of registering: Tue 3 Sep 2024
The successful registration is confirmed upon receipt of the registration fee.
Competition Trainings
• The competition includes 8 hours of FREE video recorded lessons, where the students will receive training on various topics conducted by Mustang Math Tournament contest development team.
Past years test papers are archived here: https://mustangmath.com/past-exams
Preparation resources:
MMT: https://mustangmath.com/past-exams
MathCounts: https://www.mathcounts.org/resources/past-competitions
Competition Format
The competition comprises of 1 individual round and 4 team rounds.
Individual round:
• Individual round comprises of 20 questions
• Students must solve all the question in 60 minutes
• All the answers are open-ended.
Team rounds:
MMT has 4 unique and fun team rounds:
• A Slitherlink puzzle round – Mounting Mayhem.
• A strategy-filled hexagon round – Herding Hexes.
• A race-like gallop round – Gallop
• A relay problems round – Relay Rodeo.
Mounting Mayhem
This Mounting Mayhem round is about a type of puzzle called Slitherlink.
• Students will have 15 minutes to learn the rules and basic strategy of the puzzles, then 60 minutes to solve as many of them as possible.
• The puzzles are divided into 3 variants:
- Variant 1 (Standard Slitherlink): 10 puzzles
- Variant 2 (Pigs and Wolves): 6 Puzzles
- Variant 3 (Non-square Slitherlink): 6 Puzzles
• Within each variant, half the puzzles are introductory and half of them are advanced.
• No partial credit will be given to incorrect puzzles, even if the errors are minor.
• It is highly recommended that all members read through the provided rules and discuss on your strategies before you start.
Herding Hexes
The “Herding Hexes” Round will consist of 26 questions to be solved in 45 minutes.
• The questions will be laid out on a grid of connected hexagons, with more difficult problems being located furthest from the center.
• This round contains 26 problems to be solved in 45 minutes. Each problem corresponds to a hexagon on the answer grid (backside).
• A correct answer will grant 2 points each for Problems 1 through 10, 3 points each for Problems 11 through 19, and 4 points each for Problems 20 through 26.
• You are not necessarily expected to solve all the questions in this round within the allotted time.
Instead, we encourage you to strategize how you might use your time to maximize your points!
Gallop
The Gallop Round will consist of 27 questions to be solved in 60 minutes.
• The questions will be divided into 9 sets of 3 questions each, and you must submit the answers to one set before accessing the problems for the next. This means you must strategize when to submit each set (incomplete or not) to ensure you get access to as many questions as possible.
• The problems will get progressively more difficult, and later problems will be worth more points.
• The 9th and final set is an estimation round, where you will estimate the answers and points will be awarded by how close you are to the correct answer.
• Make sure to pencil in (or pen in) all answers correctly on the answer sheet as you will be unable to wrap back around to a set once you have turned it in!
• Point values for each set is listed in the table below:
Relay Rodeo
The Relay Rodeo Round will consist of 21 questions to be solved in 45 minutes.
• The problems are divided into four suits (♢, ♡, ♣, ♠) with five problems each, plus one Joker problem.
• Some of the problems refer to the answer from earlier problems in the same suit. For example, problem [♢2] may begin with, “Let N be the answer [♢1].” So, [♢2] can only be attempted after [♢1] has been answered. In a similar manner, the Joker problem refers to the answer to the last problem in every suit.
• The first four problems in each suit are worth 2 points each, and the last problem in each suit is worth 3 points. The Joker problem is worth 6 points.
Rules
• No cheating - This contest has a zero-tolerance cheating policy. Any evidence of cheating may lead to immediate disqualification, or any other punishment deemed appropriate by competition staff.
• No calculators, rulers, compasses, protractors, or other aids are permitted.
• You may not use the Internet as a resource at any point during a test.
• To help enforce this, we may require individuals to provide a solution for a problem during the competition - so keep track of your work!
• All communication will take place through the Zoom platform.
• Scores, important information, documents, etc. will only be communicated through Zoom on the day of the contest.
• All teams should be communicating with each other on Zoom Break out room platform ONLY.
• The team divisions are determined by the highest grade level amongst the team members.
• Teams with 1 or more 8th graders (NZ Year 9) will be in the Stallion division,
• Teams with 7th graders (NZ Year 8) and below will be in the Colt division,
• Teams with 6th graders (NZ Year 7) and below will be in the Foal division.
Teams may choose to compete in a higher division, if they’d like.
Answer Formatting Rules
• Carry out any reasonable calculations. For instance, you should evaluate any expressions which will take negligible time to evaluate (such as ½+⅓). You don't have to carry out unreasonable calculations, including large powers (e.g. 7⁸), large factorials, large products, and trigonometric functions which cannot be expressed in terms of radicals.
• Write rational numbers in lowest terms. Decimals are also acceptable, provided they are exact.
• Move all square factors outside radicals. For example, write 3√7 instead of √63.
Potential Topics Covered
Combinatorics
• Sticks and Stones
• Permutation/Combination
• Properties of Inclusion Exclusion for three or less sets
• Basic Geometric Probability
• Conditional Probability
• Expected Values
• Complementary Counting
• Recursion
• Bijections
• Casework
• Pigeonhole Principle
• Double-counting
• Basic Invariants
Number Theory
• Fermat’s Little Theorem
• Euclidean Algorithm
• Chinese Remainder Theorem
• Divisibility
• Chicken McNugget Theorem
• GCD and LCM
• Number of Factors
• Sum of Factors
• Basic Modular Arithmetic
• Fundamental Theorem of Arithmetic
Geometry
• Area Formulas
• Volume Formulas
• Shoelace Formula
• Pythagorean Theorem
• Distance Formula
• Similar Triangles
• Angle Chasing
• Power of a Point
Geometry
• Basic Mass Points
• Heron’s Formula
• Pick’s Theorem
• Surface Area for Pyramids, Prisms,
and Cones
• Arcs and Sectors
• Angle Bisector Theorem
• Internal/External Angles
Awards
Individual Awards will be designated separately for each grade/Year level.
There will be 5 distinct levels of individual awards, which will be graded based on SIMCC regional criteria. This will allow us to provide a regional ranking, rather than a local country ranking.
• Gold: Top 10%
• Silver: Next 15%
• Bronze: Next 25%
• Honorable Mention: Next 20%
• Remaining 30% get E-certificate of Participation
Individual Awards for each of 5 grades/Years
• Gold: Top 8%
• Silver: Next 12%
• Bronze: Next 20%
Team Awards for 3 Divisions
Overall Championship for 5 Grade/ Year Levels
For each grade level with more than 50 contestants, the following titles will be awarded:
1. Overall Champion – Receives a Contest Voucher of $150 and 3 IJHS Scholarship points.
2. Overall Runner-up – Receives a Contest Voucher of $100 and 2 IJHS Scholarship points.
3. Overall 2nd Runner-up – Receives a Contest Voucher of $50 and 1 IJHS Scholarship point.
• The Overall Champion will be determined by summing the individual scores and team awards
(Gold = 10 points, Silver = 7 points, Bronze = 4 points).
The highest total score will earn the title of Overall Champion.
Agenda based on NZ Time
Please note that Daylight Saving Time (DST) in New Zealand begins at 2:00 AM on September 29th.
As a result, New Zealand will be 5 hours ahead of Singapore time.
NZ time: Sunday 29 September 2024 at 13:00
Australia Sydney & Melbourne time: Sunday 29 September 2024 at 10:00 AM
Australia Perth time: Sunday 29 September 2024 at 8:00 AM
Singapore and Beijing time: Sunday 29 September 2024 at 8:00 AM
September 29th
• 13:00-13:30 Registration
• 13:30-14:00 Opening Ceremony and Contest Instructions
• 14:00-15:15 Mounting Mayhem / (Puzzle Round) (75 mins)
• 15:30-16:15 Herding Hexes (45 mins)
• 16:15-17:00 Dinner Break (45 mins)
• 17:00-17:45 Relay Rodeo / (Team Round) (45 mins)
• 18:00-19:00 Gallop/ (Relay Round) (60 mins)
• 19:15-20:15 Individual Round (60 mins)
• 20:15 End of competition
(October 14th) Online Award Ceremony
• 00:15-01:30 Award ceremony