Soal Olimpiade Matematika SMP (Junior Mathematics Olympiad)

example:

Problem 1

A library has 6 floors. There are 10 000 more books on the second floor than the first. The number of books on the third floor is the same as the number on the second. There are 10 000 fewer books on the fourth floor than the third and twice as many books on the fifth floor as there are on the fourth. On the sixth floor there are 4 000 fewer books than on the fifth. Coincidentally the number of books on the sixth floor is the same as the number on the first. Altogether, how many thousands of books are there in the library? [1 mark]

Answer 1:

Let there be x thousand books on the first floor.
On the second floor there are x + 10 thousand books.
On the third floor there are x + 10 thousand books.
On the fourth floor there are x thousand books.
On the fifth floor there are 2x thousand books.
On the sixth floor there are 2x − 4 thousand books.
Thus we have 2x − 4 = x and so x = 4. The total number of
books, in thousands, is therefore
x + x + 10 + x + 10 + x + 2x + x = 7x + 20= 7 × 4 + 20 = 48.

download soal lengkap di bawah ini:

Australian Junior Mathematics Olympiad

Selain itu juga di link berikut:
1. Download Soal olimpiade Matematika SMP (Australian Junior Mathematics olympiad) 2008-2009
2. Download Soal Olimpiade Matematika SMP tk. Provinsi dan pembahasan

3. Soal Olimpiade Matematika Internasional SMP ( Junior Mathematics Olympiad)

10 responses to “Soal Olimpiade Matematika SMP (Junior Mathematics Olympiad)

  1. asw.
    terima kasih atas soal2 Australian Junior Mathematics Olympiad nya mas..
    btw, solutionnya dari mana mas?
    ada satu soal yang tahin 2009jawabannya berbeda sama saya..
    mohon bimbingannya…
    terima kasih..

  2. assalamu’alaikum mas, sebelumnya saya mencoba mendownload soal dan pembahasan olimpiade matematika tk provinsi dan pembhasannya ternyata tidak bisa. bisakah minta kiriman file tersebut. saya sudah coba cari di mbah google tapi yang ketemu soal sma. terimakasih sebelumnya atas kemurahan hati mas akhsin. wassalamu’alaikum.

  3. assalamu’alaikum mas, setelah mencoba mendownload soal osm mat prov tidak bisa, bisakah saya minta kiriman soal dan pembahasan ke email saya… matur nuwun atas kemurahan hati mas akhsin. mohon maaf kalau saya lancang.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s