SAMF Olympiad activities

1
SAMF Olympiad activities

• SPONSORS
• Harmony
• Nedbank
• Actuarial Society
• DST
• DoE
• SASOL?

• SAMO
• IMO
• PAMO
• IPMO
• Talent search and camps
• Teacher development course
• DST olympiad programme
• Nedbank learner programme
• AMESA challenge
• Integrated plan for all activities

2
SAMO

• Juniors (grades 8-9) and Seniors (grades 10-12)
  separately
• Three rounds
• 1st round 20 MCQ marked by teachers in March
• 2nd round 20 MCQ marked by SAMF in May (gt 50 in
  round 1)
• 3rd round seniors 6 questions, juniors 15
  questions in September
• (top 100 learners in round 2)

• A new structure with three rounds came into
  operation in 1992.
• A separate second round paper for juniors was
  introduced in 1994.
• A new format was introduced in 1997
  participants who obtained
• 50 and higher in the first round advanced to
  the second
• round.
• A third round for juniors was introduced in
  2004. 
• Cooperation through SAMF from 2008

3
SAMO
4
IMO
5
Henry Thackeray (grade 11, St Albans College in
Pretoria), Francois Conradie (grade 11,
Hoërskool De Kuilen, in Bellville), Ben-Eben de
Klerk (grade 12, Hoërskool Witteberg, in
Bethlehem), Nicky van der Mey (post-matric,
Diocesan College in Cape Town), Liam Baker
(grade 11, Mondale High School in Cape Town)
Haroon Moolla (grade 12, Rondebosch Boys High
School in Cape Town).
6
PAMO
7
MTS and camps

• MTS run from US format
• Training camps
• Stellenbosch December
• Free State April
• Pretoria - July

8
IPMO

• Provincial teams senior and junior
• Saturday afternoon in September
• Individual paper and team paper
• Marked by team leaders and results phoned through
• Project leader Peter Dankelman
• 2007 participating provinces

Boland Gauteng South Gauteng North Eastern
Province Free State KZN Coast KZN
Midlands Limpopo North-West Southern Cape Western
Province
9
SAMF teacher development programme

• Courses run by mathematicians countrywide
• Project leader Sudan Hansraj

10
AMESA maths challenge

• Primary school competition
• SAMF may take it over soon.

11
Junior round 1, 2007 A group of girls shared 54
red beads, 90 green beads and 108 blue beads such
that each girl gets an equal number of beads of
each colour. What is the maximum number of girls
in this group? A. 6 B. 12 C. 15 D. 18 E. 21
Junior round 2, 2007 The lengths of three
consecutive sides of a quadrilateral are equal.
If the angles included between these sides have
measures of 60 and 100 , then what is the
measure of the largest angle of the
quadrilateral? (A) 130 (B) 145 (C) 155
(D) 160 (E) 165

• Junior round 3, 2007
• (a) Is the following divisible by 3?
• 20073 20063 20053 20043 23 13
• (b) Prove your answer.

12

• Senior round 3, 2007
• Show that it is not possible to write the numbers
  1,2, . . . , 25 on the squares of a 5 5 chess
  board (one number per square) such that any two
  neighbouring numbers differ by at most 4. (Two
  numbers are neighbours if they are written on
  squares that share a side.)

Junior round 3, 2007 In the diagram, the log
A has radius R. A hole of radius r is drilled
through the centre of log A at right angles to
the axis. Another log B of radius r passes
through the hole. Find the length S in terms of R
and r .