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]

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.

1. Amirullah says:

Kirimkan dong soal olimpiade smp tngkt propinsi thn 2010

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..

• sama-sama…maaf mungkin saya salah menamai waktu mengupload…insA ntar saya cek ulang utk thn 2009…

3. Eko Heri S says:

Terima kasiiiih

4. fina nagh espegapa says:

emmm
maaf, tolong kirimkan soal olimpiade matematika tingkat smp ke alamat email saya fina_c@rocketmail.com

sekian
terima kasih

5. johan says:

mantab mas

6. 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.

7. 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.