INI SOALAN RMO 2012 YANG MEMANG PAYAH GILER

There are all 8 questions, but I want to give you just only the first three of them. If you can solve them in 3 hours, you are the great mathematician.

So, jangan lengah-lengah masa lagi. Kalau anda boleh buat, beritahu saya dalam fb saya.  Memang awak hebat. Kepada Ahmad Wafi Razali, tunjukkanlah kebolehan anda.   

SATU BERITA PENTING. CCTV Arab Saudi telah berjaya merakam satu sosok wajah yang sungguh bercahaya semasa khutbah Jumaat di Madinah. Anda boleh lihat rakaman video tersebut di Blog Peribadi Rasulullah pada MY BLOG LIST di bawah.  

Meh kita sambung kembali. Kepada bekas-bekas pelajar saya yang lain, awak pun hebat juga. Tetapi Ahmad Wafi Razali tu memang dia minat sakan soalan-soalan Olymphiad yang mencabar macam ni

OK. Cuba tengok soalan-soalan tersebut.

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[1] Subrata writes a letter to Ruponti every day (in successive intervals of 24 hours) from Korea. But Ruponti receives the letters in intervals of 25 hours. What is the number of the letter Ruponti receives on the 25th day?

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[2] When Tanvir climbed the Tajingdong mountain, on his way to the top he saw it was raining 11 times. At Tajindong, on a rainy day, it rains either in the morning or in the afternoon; but it never rains twice in the same day. 

On his way, Tanvir spent 16 mornings and 13 afternoons without rain. How many days did it take for Tanvir to climb the Tajindong mountain in total?

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[3] In a given pentagon ABCDE, triangles ABC, BCD, CDE, DEA and EAB all have the same area.

The lines AC and AD intersect BE at points M and N. Prove that BM = EN.

I wish u a good luck & good strunggle. Please show your best to get the answer.

Selamat majujaya & selamat mencuba. Pelajar-pelajar matematik yang dok kat U pun boleh try jugak. Cuba nasib anda. Kot-kot boleh jawab.   

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