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August 28, 2013
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16TH PHILIPPINE MATHE
18th PMO Area stage
Answers and solution sketches
1. 110 . Marc has 44 and John has 22, which becomes 132.
2 : 1 . The areas have ratio 2 : 1 and since any two circles are similar, then their
2.
radii are in the ratio which is the square-root of that of t
Regional Coordinators
Region 1 & CAR DR. JERICO BACANI
Chair, Department of Mathematics
and Computer Science
University of the Philippines Baguio
Governor Pack Road, 2600 Baguio City
Tel/Fax No. : (074) 4423888 (074)4427231
Mobile: 09437250761
email: jicd
Republic of the Philippines
Department of Education
BOHOL
Region VII, Central Visayas
DIVISION OF BOHOL
City of Tagbilaran
August 24, 2015
DIVISION MEMORANDUM
No. 3 gQ s. 2015
18th PHILIPPINE MATHEMATICAL OLYMPIAD
To
: Education Supervisors/Division Subje
PEM WEBSITE
The ocial website of the Program of
Excellence in Mathematics is updated
weekly and can be accessed through:
PEM-TUKLAS.BLOGSPOT.COM.
Announcements, news, olympiad
problems, and other information are
posted in the website.
CONTACT US
Departmen
Regional Coordinators
Region 1 & CAR DR. JERICO BACANI
Chair, Department of Mathematics
and Computer Science
University of the Philippines Baguio
Governor Pack Road, 2600 Baguio City
Tel/Fax No. : (074) 4423888 (074)4427231
Mobile: 09294887455
email: jicd
18th Philippine Mathematical Olympiad
Area Stage
14 November 2015
PART I. Give the answer in the simplest form that is reasonable. No solution is needed. Figures
are not drawn to scale. Each correct answer is worth three points.
1. Marc and Jon together h
2016 Philippine Mathematical Olympiad
Application Form
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This part i
18th Philippine Mathematical Olympiad
Qualifying Stage
17 October 2015
PART I. Choose the best answer. Each correct answer is worth two points.
1. If (x + 5)(2x 3) = 0, what are all the possible values of 2x 3?
(a)
13
2
only
(b) 0 and 13
(c) 0 and 5
(d) 5
Mathematical Society of the Philippines CiALABARZON
lnstitute of Mathematical Sciences and Physics
University of the Philippines Los Baffos
College, Los Baffos Laguna
(049) 501-2982 (teleffax) (049) 536-6610
September
17
,2014
Dr. Diosdado M. San Antonio