Math League Finals Rules and Awards

The Math League Finals include Indiviudal Round, Speed Round, Team Round, and Relay Round.
Individual Round : 10 to 15 questions with variable time limits from 7 minutes to 10 minutes each. Students work on their own to solve these questions. The questions for grades 6 and 7 will be different from the questions for grades 8 and 9 (with some overlap).
Speed Round (60 questions in 45 minutes) : This is a test of speed and accuracy. The questions will be relatively easy, but time constraints make solving them all in 45 minutes challenging.
Team Round (1 to 2 Hours Time Limit) : 10 to 15 questions that your team works on together. We will divide students into teams when they arrive. There will be one set of questions for 6th and 7th graders and another set of questions (with some overlap) for 8th and 9th graders.
Relay Round (4 Relay Questions) : A relay question consists of 4 separate problems. Students will be placed in groups of four. In order to solve the relay question, the first student in the group must solve the first problem and pass the answer to the second person. The second person uses the passed answer to fill in some missing data in the 2nd problem, solves the second problem, and passes the answer to the third person. This process continues until the fourth person solves the 4th problem and gives his answer to the proctor. If anyone on the team discovers that the answer that person passed on was incorrect, that person may redo the problem and pass a new answer to the person directly behind, but the final answer submitted is the only answer that counts. The faster the 4 students solve the relay question, the more points the team receives. The four Relay Rounds will have separate questions for sixth/seventh graders and eighth/ninth graders.
(Relay Round Explanation) For those of you unfamiliar with math relay questions, here is a quick explanation of how this type of round works. The participants will be divided into teams of five students each. The five students on a team sit in a row, and each team member is given a different problem to solve. With the exception of the first person in the row, each team member needs the answer to the question the person directly in front is solving before being able to complete the problem given. When the person in front of you solves the problem that person has, that person passes his answer to you (the answer is referred to as TNYWR — The Number You Will Receive); you then use that information to finish your problem and pass your answer to the person behind you. When the fifth person on the team has solved the fifth problem, the answer is given to the proctor. If anyone on the team discovers that the answer that person passed on was incorrect, that person may redo the problem and pass a new answer to the person directly behind. The fifth person on the team may always submit another answer until time is called. Only the last answer submitted counts. The faster a team correctly completes the relay, the more points the team obtains.

Below is a very simple example of what a 5-part relay question might look like:
1. What is the number of perfect squares greater than 0 and less than 100?
2. What is the largest possible area of a square with integral sides whose perimeter is less than or equal to TNYWR (The Number You Will Receive)?
3. How many different positive integers including 1 and the number itself are divisors of TNYWR?
4. If n = TNYWR, what is the value of (n + 1)(n - 1)?
5. If m is the number of integers greater than 0 and less than 100 which is divisible by 9, then what is the value of (m + TNYWR)?

First, person #1 solves the first question, gets an answer of 9, and passes that answer to person #2. Since the perimeter must be divisible by 4, Person #2 finds that the sides of the square have length 2, gets an answer of 4 for the area, and passes that answer to person #3. Person #3 realizes that the divisors of 4 are 1, 2, and 4, so person #3 passes an answer of 3 to person #4. Person #4 multiplies (3+1) and (3-1) to get 8 and then passes that answer to person #5. Finally, person #5 realizes that there are 11 numbers which satisfy the stated condition, that is m = 11, then 11 + 8 = 19, so person #5 must choose only one answer from 8 or 19 and hand it to the proctor. While the questions in the actual relays will be much more difficult than those shown in the above example, the process remains the same as shown above.

Relay Round sample example：
a) What is the number of perfect squares greater than 0 and less than 100?
b) What is the largest possible area of a square with integral sides whose perimeter is less than or equal to TNYWR (The Number You Will Receive)?
c) How many different positive integers including 1 and the number itself are divisors of TNYWR?
d) If n = TNYWR, what is the value of (n + 1)(n - 1)?
e) If m is the number of integers greater than 0 and less than 100 which is divisible by 9, then what is the value of (m + TNYWR)?
The scores from the Individual Round and Speed Round will be combined to form each student’s total score for the individual finals.
- For Grades 4–5:
  The Math League Finals will award gold, silver, and bronze medals to top-performing students in each grade — Grade 4 and Grade 5 (multiple winners per category).
- For Grades 6–9:
  The Finals will award gold, silver, and bronze medals to students in each of the following grade groups: Grade 6, Grade 7, and Grades 8–9 (combined).
The individual final scores will carry over into the team finals. The team’s total score will be the combined result of all four rounds.
- Grades 4–5 Group:
  The Math League Finals will award gold, silver, and bronze team medals for the Grades 4–5 group.
- Grades 6–9 Group:
  The Finals will award gold, silver, and bronze team medals for the Grades 6–7 group, and the Math League Cup for the top team in the Grades 8–9 group.