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 10B tahun 2021
Jadi semua nilai \(x\) yang memenuhi adalah \(\{-2, -1, 0, 1, 2\}\) ada 5 bilangan
3) Given a regular sequence \(4, 5, 11, 25, 50, x, 145, β¦.\) What should \(x\) be?
(A) 121
(B) 97
|(C) 89
(D) 76
4) Set \(a, b β C, \overline{a}+2\overline{b} οΌi,\) and \(\overline{a}Β·\overline{b} οΌ-5-i\). Find the possible value of \(|a|^2\) .
(A) 7
(B) 9
(C) 11
(D) 13
5. Look at the picture. \(π\) is a point in \(Ξπ΄π΅πΆ\). Draw \(3\) lines which pass through \(P\) and are parallel to each side of \(Ξπ΄π΅πΆ\). If the areas of the small triangles \(π‘_1, π‘_2\) and \(π‘_3\) are \(4, 9\), and \(49\), respectively, find the area of \(Ξπ΄π΅πΆ\).
(A) 121
(B) 144
(C) 169
(D) 172
Perhatikan kesebangunan \(Ξπ·ππΈ\) dan \(ΞπΌππΉ\)
6. Given that
\(\frac{1}{\log_x 3}+\frac{1}{\log_y 3} β₯8\). If the smallest value of \(3^x + 3^y\) is \(aΓ3^b\) , and \(HCF(a, 3)οΌ1\), find \(3aοΌb\).
(ket: kurang 6 karena ada 6 himpunan yang terhitung dua kali di \(4{7\choose 2}\))
Jadi peluang tidak ada \(2\) bola yang jumlahnya \(10\) adalah \(1β\frac{78}{126}=\frac{48}{126}\)
10. As in the picture, fill \(0ο½9\) 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 \(AοΌBοΌCοΌDοΌEοΌF\).