## BISJMC2018

The 3rd Bangkok International Schools Junior Maths Challenge will be hosted by Shrewsbury International School Bangkok Riverside on the 27th of February. It is a student-led event: for students, by students.

## ABOUT US

We are a team of experienced and passionate students who believe that mathematics should be a fun and rewarding subject for all students. Therefore, we are extremely delighted to welcome you to the 3rd annual BISJMC, with the hopes of sharing our love for maths to younger students.

We believe that it is important for young mathematicians to be involved in competitions such as these. Many members of our organizing team were past competitors of various competitions such as SEAMC and FOBISIA, and have garnered many valuable experiences that they would like to pass onto others in our community. As a team, we aim to provide a well rounded experience for all participating students. Not only do we prioritize the difficulty and academic challenges of the competition, we hope that this group of young mathematicians can begin the day as competitors, but leave as friends.

Our vision is to inspire and further push students to their fullest potential through BISJMC. We hope you can be part of this vision. With great optimism, we hope to see you all soon in February!

Warmest regards,

BISJMC Organizing Team

## SYLLABUS

**Algebra:** simultaneous equations; inequalities; speed-distance-time; ratio-percentage; indices; surds; order of operations; fractions with algebraic symbols

*Any equation with degree more than 1 set will not require the use of factorization or more advanced techniques.*

*Students will not be expected to have done any formal work involving surds, however, students will be expected to recognise the root notation. *

*Students will not be expected to know the laws of indices; however, it would be expected that they could derive the answer to questions involving indices from inspection and an understanding of the definition of an index. There will not be any questions involving fractional indices. *

**Geometry: **2D shapes/properties; angles in a polygon; 3D shapes - limited to cubes, cuboids, prisms and spheres; area and perimeter; parallel and perpendicular lines; symmetry; transformations - rotations/reflections/enlargement.

*Knowledge of Pythagoras’s Theorem is not expected.*

**Number:** divisibility, prime numbers and prime factorization; HCF/GCD and LCM; sequences

**Others:** mean-median-mode; basic probability and sample space

## BISJMC ROUNDS

The competition will feature an Individual, Choice, Energizer and Passback Round. Here are the rules to each of the rounds. Marks scored will be weighted so that each round contributes equally to the overall score.

### Individual Round

Each person tackles a set of questions individually.

- One question carries one mark.

Choice Round

1. The choice round will be made up of a number of subrounds.

2. In each subround, each team will have a choice to solve one of two similar questions: an easier and a harder question.

3. At the start of each subround, before seeing the questions, each team will indicate whether they would like the easier or the harder question.

4. A staff member will hand out papers with colour depending on the difficulty chosen.

5. Students complete the question and write the answer on the corresponding colored paper.

6. There will be a time limit for each question.

- An easier question gives 2 points for a correct answer, -1 for an incorrect answer and 0 if there is no answer.
- A harder question gives 4 points for a correct answer, -2 for an incorrect answer and 0 if there is no answer.

### Energizer

1. Each team compete to do as many questions at their designated table.

2. When a team wants to submit an answer to a question, one team member will have to run (in the direction indicated) up to a teacher at the front table.

3. The team’s answer to a question will be checked by the teacher:

a) If the answer is correct then the team is allowed to take the next question.

b) If the answer is incorrect then the team is returned their question and prompted to do it again.

4. The team member then runs back (in the direction indicated), around the whole row and back to his/her team’s table.

5. A team may retry a question as many times as they like. Alternatively they may choose to skip the question and take the next question.

6. If a team gets an answer wrong, they cannot choose to skip to the next question immediately; the runner must complete one more lap first before asking to skip.

7. Only one team member can be running at a given time.

8. Teams can switch runners as many times as they like.

9. Questions can only be completed at the tables teams are situated at.

10. Teams can only collect one question at a time.

- Each question skipped rewards 0 marks.
- Getting a question correct the first try rewards 3 marks
- Getting a question correct the second try rewards team 2 marks
- Getting a question correct after the second try rewards 1 mark

### Passback Round

1. Each team will be split into 2 pairs and be put on 2 separate tables.

2. Each subround will consist of 4 questions; one pair will receive questions 1 and 3, while the other will receive questions 2 and 4.

3. A pair will not have knowledge of the questions given to the other pair.

4. Team members cannot communicate with their friends in the other pair.

5. Solving question 2 will require the answer to question 1; solving question 3 will require question 2; solving question 4 will require question 3.

6. Once a pair is happy with their answer, a teacher will “pass” the answer to the other pair so that they can solve the next question.

7. The teacher will give no indication as to whether answers that are “passed” are correct or not.

8. However, once per question, a pair may choose to reject an answer to that question that was “passed” from the other pair. In this case, the other pair will be prompted to recheck their answer, and can pass a different answer.

9. There will be a time limit for each subround.

- Each question is worth a mark.

For example:

- On completing question 1, pair A passes the answer “87” to B.
- B receives “87”, but thinks that the answer is wrong.
- B tells the teacher to reject “87”.
- The teacher then prompts A to double check the answer to question 1.
- After checking, A now passes the answer “16” to B. (alternatively, A could pass “87” again.)
- B cannot reject this new answer, and now has to use what is available to solve question 2.
- However, A will still have one chance to reject B’s answer to question 2 once; likewise, B will then have one chance to reject A’s answer to question 3.

## CONTACT US

If you have any questions about BISJMC 2018, please contact the event team via email: