SEAMO Paper E Intermediate [PDF]

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SEAMO Southeast Asian Mathematica I Olympiads



p*- I



DO NOT OPEN THIS BOOKLET UNTIL INSTRUCTED. STU DENT'S NAM E:



Read the instructions on the ANSWER SHEET and NAME, CANDIDATE NUMBER and SCHOOL. Use a 28 or B pencil. Do NOT use a pen Rub out any mistakes completely.



fill in your



You must complete all the questions within 90 MINUTES.



INTERM EDIATE



Mark only ONE answer for each question. Marks are NOT deducted for incorrect answers. SECTION A Questions 'l



to 10 are worth THREE (3) marks each.



SECTION B



Questions,'l 1 to 20 are worth FOUR (4) marks each.



sEcTtoN c Questions 21 to 25 are worth SIX (6) marks each. You are NOT allowed to use a calculator.



QUESTTONS r TO 10 ARE WORTH 3 MARIG EACH



Given that



xz



value of xa +



+



1. Arrange the 3 numbers in ascending order.



q



I 62ea I 43e2 I 5re6 4 43ez I 5re6 4 62ea I 62ea



5te6



0,



f



.



(A) 6 (B) I



43s2, 6294, 5!96



(A) (B) (C) (D)



- 8x * l- :



(c) 3838



43ez



(D) (E)



57e6 52e+



i;



3842



None of the above



43ez



(E) None of the above



4. 2. The distance Greenville



from Georgetown



Find the last 2 digits of



to



1gzore



is t20 km. An SUV and a



1



1gz0r8



+...+



g 1 1g20rB



sedan left Georgetown for Greenville at the same time. After an hour, the Greenville



(A) (B)



58



25 minutes after the SUV, find the



(c)



32



speed of the sedan.



(D) 24 (E) None of the above



SUV was 24 km ahead of the sedan.



the sedan arrived at



(A) 68 km/h (B) 72km/h (C) 761