World Mathematics Invitational (WMI) is the first international competition founded by Taiwan. It gathers institutes and organizations worldwide that make efforts in promoting and popularizing mathematics. Through interacting with other math-loving students that represent their countries, students can expand their worldview, experience different cultures, and thus their horizon as well as their future will be broaden. (sc : http://www.wminv.org/)
Berikut ini soal dan solusi WMI grade 6B tahun 2021
Nilai \(𝑛\) yang memenuhi adalah \(\{16, 17, 18, 19, 20, 21, 22, 23\}\), jadi nilai \(𝑛\) yang memenuhi banyaknya ada \(8\)
7) A cargo ship delivers goods in the speed of 28km/hr between two harbors A and B which are located at the upper reaches and the lower reaches of a river. If the downstream trip and the upstream trip last 5 hr and 9 hr, respectively, find the distance between the two harbors in km.
Jadi jarak \(A\) ke \(B\) adalah \((28 − 𝑥)9 = (28 − 8)9 = 20(9) = 180\) 𝑘𝑚
8) Given a regular sequence \(3, 4, 10, 24, 49, 88, x, ….\) What should \(x\) be?
(A) 100
(B) 107
(C) 121
(D) 144
\(3, 4, 10, 24, 49, 88, x\)
Pola beda tingkat pertama : \(1, 6, 14, 25, 39, a\) Pola beda tingkat kedua : \(5, 8, 11, 14, 17\) Diperoleh nilai \(𝑎 = 39 + 17 = 56\)
Dengan mengikuti pola di atas, nilai \(x\) adalah \(88 + 56 = 144\)
9) A 3-digit number happens to be the cube of half of the sum of its three digits. Find the tens digit of this 3-digit number
(A) 1
(B) 2
(C) 4
(D) 5
10. As in the picture, fill 0~9 in the number sentences below. Each contains only a 1-digit number, and a 2-digit number should be filled in a linked or . Find A+B+C+D.