Statistics (ISMC 2012)

1. General

Number of Participants: 181

Junior Participants: 87 (School Team; Individual Participants)

Form 1: 45 (40; 5)

Form 2: 42 (42; 0)

Senior Participants: 94 (School Team; Individual Participants)

Form 3: 27 (27; 0)

Form 4: 67 (55; 12)

Number of School Teams: 44

2. Junior Individual

(a) Cutting Scores

Champion: 116

1st Runner-up: 111

2nd Runner-up: 88

Merit (4th - 13th): 48 - 81

(b) Short Questions

(d) Overall

3. Senior Individual

(a) Cutting Scores

Champion: 159

1st Runner-up: 157

2nd Runner-up: 154

Merit (4th - 13th): 77 - 118

(b) Short Questions

(d) Overall

4. Group Event

(a) Cutting Scores

1st Place: 240

2nd Place: 147

3rd Place: 140

4th - 8th Place: 126 - 140

# They are not referring to the overall places. Moreover, In ISMC 2013, we did not set any prizes solely based on the results of Group Event.

(b) Statistics

# Although we have set a list of markings guidelines before the contest begins, higher mean or median does not necessarily reflect easier difficulty, as different markers have their own requirements or restrictions on writings & calculations. (BUT, each question is marked by only 1 marker to ensure the fairness.)

5. Overall Prizes

Overall Score of a Team: (sum of score of 4 team members in individual event) + 4 x (Score of group event)

Full Score of (Sum of Individual Scores) = 784 (Remarks: Full marks of Junior Event is 192)

Full Score of Group Event = 300

Full Score of Overall Score = 1984

Cutting Scores

6. Comments on Performance

i. For Junior Q.10, no one got the correct answer. We observed that about 5 - 10 students did not simplify their answer (We only accepted rationalize and simplified form). Some participants observed that each term in the expression can be simplified, but finally got the unsimplified answer (1 - rt(2012)/2012), where 2012 = 2^2 x 503. One or two participants wrote (2012 - 2rt(503))/2012, where both numerator and denominator are divisible by 2. It is a big careless mistake.

ii. Most teams have good performance in Group Event. It is unexpected that the mean score and median score are very high (about 20 and 28.5 respectively). It is a geometry question which related to trigonometry. This implied that 1 or 2 Senior teammate(s) in the same team can relate theorem which had taught in the school to solve it. It is well-done!

# For (i), non-rationalize answers MAY not be accepted in ISMC. (It depends on markings guideline in the corresponding year) However, unsimplified answers (such as 2 / 2012) are ALL not acceptable. It is advised that all answers should be written in its most simplest form so that no marks will be deducted.