SD kelas 3 dan 4 - BorneoMath https://borneomath.com All about math problems Wed, 28 Dec 2022 06:31:58 +0000 en-US hourly 1 https://wordpress.org/?v=6.5.2 Contoh Soal Seleksi Tingkat Sekolah Persiapan OSN SD tahun 2023 https://borneomath.com/contoh-soal-seleksi-tingkat-sekolah-persiapan-osn-sd-tahun-2023/ https://borneomath.com/contoh-soal-seleksi-tingkat-sekolah-persiapan-osn-sd-tahun-2023/#respond Wed, 28 Dec 2022 06:21:11 +0000 https://borneomath.com/?p=6430 OSN merupakan ajang mencari bakat dibidang sains dan matematika yang seleksinya berjenjang mulai dari tingkat sekolah,kecamatan, kabupaten, provinsi hingga nasional. […]

The post Contoh Soal Seleksi Tingkat Sekolah Persiapan OSN SD tahun 2023 first appeared on BorneoMath.

]]> OSN merupakan ajang mencari bakat dibidang sains dan matematika yang seleksinya berjenjang mulai dari tingkat sekolah,kecamatan, kabupaten, provinsi hingga nasional. Namun seiring perkembangan zaman soal-soal OSN  dari tingkat kabupaten tingkat kesulitannya juga semakin bertambah dan tak jarang banyak sekolah yang kurang mempersiapkan diri untuk menghadapi jenis-jenis soal semacam ini.  Jenis soal yang sering muncul berkaitan dengan bilangan, aritmetika, barisan dan deret, kombinatorik, geometri dan statistika, dan pada umunya soal-soal yang keluar jarang dipelajari dibangku sekolah.

Di setiap sekolah pastinya ada beberapa siswa yang mempunyai kemampuan berhitung dan nalar yang baik, siswa yang mempunyai kemampuan ini cukup mudah untuk dilatih. Demi mendukung siswa siswi bapak/ibu maka kami dari borneomath menyediakan soal untuk seleksi tingkat sekolah, soal ini bisa menjadi acuan untuk menentukan siapa saja yang bisa ikut mewakili sekolah ke tingkat kecamatan. Selanjutnya bapak/ibu bisa melanjutkan di Soal Latihan Persiapan Lomba OSN Matematika Tingkat SD Pemula Tahun 2023 Part 1

Berikut ini Contoh Soal dan Solusi seleksi tingkat sekolah olimpiade matematika SD, semoga bermanfaat.

1. Aku adalah sebuah bilangan, jika Aku dikali 3 lalu ditambah 16 maka aku menjadi 31. Jika Aku dikali 3 lalu ditambah 100 maka Aku menjadi …

Dalam menjawab soal yang angkanya tidak diketahui, biasanya dimisalkan dulu dengan sebuah huruf. Misalkan bilangan Aku adalah \(A\)

\(3×A+16=31\)
\(3×A=31-16\)
\(3×A=15\)
\(=\frac{15}{3}=5\)

diperoleh bilangan Aku adalah 5, selanjutnya jika Aku dikali 3 lalu ditambah 100 maka Aku menjadi

\(5×3+100=15+100=115\)

(Anak-anak dengan kemampuan nalar baik, biasanya menggunakan cara coba-coba. Bapak/Ibu tetap harus dukung walaupun menggunakan cara coba-coba, sambil perlahan-lahan dilatih menggunakan cara)

2. Besok adalah hari selasa, 20 hari lagi adalah hari ….

setiap tambahan 7 hari, hari kembali keawal, contoh sekarang hari senin maka 7 hari lagi adalah hari senin atau 14 hari lagi hari senin.

Besok adalah hari selasa jadi hari ini adalah hari senin, kelipatan 7 terdekat dari 20 adalah 14, masih ada tersisa 6 hari lagi. Jadi 6 hari setelah hari senin adalah hari minggu.

3. Ahmad, Zahid, Candra dan Luqman sedang menghadiri acara ulang tahun. Jika mereka saling berjabat tangan sekali maka berapa banyak jabat tangan yang terjadi ….

Ahmad berjabat tangan dengan Zahid, Chandra dan Luqman, ada \(3\) jabat tangan
Zahid berjabat tangan dengan Chandra dan Luqman, ada \(2\) jabat tangan
Chandra berjabat tangan dengan Luqman, ada \(1\) jabat tangan

Jadi total jabat tangan adalah \(3+2+1=6\)

4. Jika jumlah 3 bilangan genap berurutan adalah 24 maka bilangan genap terkecilnya adalah …

Misalkan bilangan genap terkecilnya adalah \(A\), bilangan genap selanjutnya adalah \(A + 2\) dan \(A + 4\). Jumlahkan ketiga bilangan tersebut

\(A + (A+2) + (A+4) = 24\) 
\(⇒3A+6=24\)
\(⇒3A=24-6\)
\(⇒3A=18\)
\(⇒A=6\)

5. Jika \(𝑎\#𝑏=𝑎×𝑏−10\), maka nilai dari \(5\#4\) adalah …

\(𝑎\#𝑏=𝑎×𝑏−10\)
\(5\#6=5×6−10\)
\(5\#6=5×6−10=30-10=20\)

6. Nilai dari \(10 – 5 + 15 – 10 + 25 – 20 + 30 – 25 + 40 – 35 + 50 – 45 + 70 – 65 = …\)

Supaya perhitungannya lebih mudah, kita kelompokkan bentuk pengurangan

\((10 – 5) + (15 – 10) + (25 – 20) + (30 – 25) + (40 – 35) + (50 – 45) + (70 – 65) \)
\(=5+5+5+5+5+5+5\)
\(=35\)

7. Pada sebuah perlombaan olimpiade matematika yang terdiri dari 20 soal, Fajar berhasil menjawab 14 nomor dengan benar dan sisanya salah. Jika tiap nomor soal yang dijawab benar mendapat 5 poin dan tiap soal yang salah dikurangi 2, maka nilai Fajar adalah …

Poin Benar = \(14×5=70\)
Poin Salah = \(6×2=12\)

Jadi Nilai Fajar adalah \(70-12=58\)

8. Tentukan banyaknya persegi pada gambar berikut!

ukuran ada 9

ukuran ada 3

Jadi total persegi ada 12 persegi

9.

Dari keterangan gambar diperoleh

karena

= \(8\)

Jadi nilai dari  adalah \(8 + 8 + 8 = 24\)

10. Sebatang pohon kelapa ditanam di sepanjang pantai dengan jarak antar pohon 6 m. Berapa banyak pohon yang ditanam apabila panjang jalan tersebut adalah 60 m.

Dua pohon berjarak 6 m, 
Tiga pohon berjarak (6 + 6) = 2 × 6 m,
Empat pohon berjarak (6 + 6 + 6) = 3 × 6 m
dst..

Jadi klo ada 60 pohon, jaraknya adalah (6 + 6 + 6 + … + 6) = 59 × 6 = 354 m

11. Doni menyusun gelang-gelang mainannya seperti pada gambar.


Lalu ia melihat tumpukan gelang dari atas. Berapa banyak gelang yang ia dapat lihat!

Jelas 3 gelang

12. Sebuah es krim harganya Rp1.000,-. Ada promosi dengan membeli 6 es krim kamu cukup bayar dengan Rp5.000,-. Berapa es krim paling banyak yang dapat kamu beli dengan uang Rp36.000,-?

Karna ada promosi maka 6 es krim dapat diperoleh dengan harga Rp5000,-. Dengan uang Rp35.000,- banyak es krim yang dapat diperoleh adalah 42 es krim. Tersisa Rp1.000,-, sisa uang ini masih bisa mendapatkan 1 es krim. Jadi paling banyak es krim yang dapat diperoleh adalah 43 es krim.

13. Tentukan banyaknya bilangan genap dua angka tanpa pengulangan yang dibentuk dari angka 1, 2, 3, 4.

Bilangan genap yang dapat dibentuk adalah 12, 14, 24, 32, 34, dan 42 ada 6 bilangan berbeda tanpa pengulangan yang dapat dibentuk.

14. Pak Wawan membutuhkan waktu 6 menit untuk mengergaji sebatang kayu menjadi dua bagian. Berapa lama waktu yang diperlukan untuk mengergaji batang kayu itu menjadi lima bagian?

Membagi dua kayu membutuhkan satu kali potongan.
Membagi tiga kayu membutuhkan dua kali potongan. 
Membagi empat kayu membutuhkan tiga kali potongan.
Membagi lima kayu membutuhkan empat kali potongan.

Satu kali potongan membutuhkan 6 menit, karena untuk membagi lima kayu membutuhkan empat kali potongan, maka waktu yang dibutuhkan adalah 4 × 6 = 24 menit.

15. Tentukan nilai dari:

\(\left(\frac{3}{1-\frac{1}{4}}+\frac{\frac{3}{4}-1}{3}\right)×12\)

\(\left(\frac{3}{1-\frac{1}{4}}+\frac{\frac{3}{4}-1}{3}\right)×12\)
\(=\left(\frac{3}{\frac{3}{4}}+\frac{-\frac{1}{4}}{3}\right)×12\)
\(=\left(4-\frac{1}{12}\right)×12\)
\(=\left(\frac{47}{12}\right)×12\)
\(=47\)

16. Jika \(A2023B\) adalah bilangan yang habis dibagi \(9\). Tentukan semua nilai \((A + B)\) yang memenuhi.

Syarat habis bilangan habis dibagi 9 adalah jumlah angka-angkanya habis dibagi 9, karena \(A2023B\) habis dibagi 9, maka

\(A+2+0+2+3+B=A+B+7\)

Bilangan kelipatan 9 terdekat dari \(A+B+7\) adalah 9 dan 18, jadi bilangan yang mungkin untuk \(A+B\) adalah \(2\) atau \(11\)

17. Amir lahir antara tahun 1998 dan 2020. Jika tahun kelahiran Amir dibagi 3,6,dan 9 selalu bersisa 2, maka tahun kelahiran Amir adalah ….

KPK(3, 6, 9) = 18
Bilangan antara 1998 dan 2020 yang habis 18  adalah 2016, karena tahun kelahiran Amir dibagi 18 bersisa 2, maka tahun kelahiran Amir adalah 2016+2=2018

18. Ana dan Bani bersama-sama mempunyai 120 stik kayu, Bani dan Caca bersama-sama mempunyai 60 stik kayu dan Ana dan Caca bersama-sama mempunyai 70 stik kayu. Berapa banyakkah stik kayu yang dimiliki oleh ketiganya?

Misalkan banyak kayu Ana, Bani dan Caca adalah \(A, B\) dan \(C\)

\(A + B = 120\)
\(B + C = 60\)
\(A + C = 70\)

Jumlahkan ketiga persamaan, diperoleh

\(2A+2B+2C=250\)
\(2(A+B+C)=250\)
\(A+B+C=\frac{250}{2}=125\)

banyakkah stik kayu yang dimiliki oleh ketiganya adalah \(125\) kayu

19. Perhatikan gambar berikut ini!


Bangun di atas dibentuk dari 4 persegi besar dan 4 persegi kecil. Tentukan luas daerah bangun tersebut.

misalkan panjang sisi persegi besar adalah \(b\) dan persegi kecil adalah \(k\), dari keterangan gambar diperoleh persamaan

\(2b+2k=32\) …(1)
\(3b+2k=44\) …(2)

kurangkan kedua persamaan, diperoleh \(b=12\)
ganti nilai \(b\) ke persamaan (1)

\(2(12)+2k=32\)
\(24+2k=32\)
\(2k=32-24\)
\(2k=8\)
\(k=4\)

Luas bangun di atas adalah \(4b^2 + 4k^2=4(12)^2 + 4(4)^2=4(144)+4(16)=576+64=640\) cm²

20. Perhatikan gambar berikut!


Terdapat 4 buah lingkaran berukuran sama saling bersinggungan. Jika diketahui panjang jari-jari lingkaran adalah 7 cm, maka tentukan luas daerah berwarna biru.

Panjang persegi panjang \(AB = 14\) cm

\(\begin{align}
\text{Luas A} &= [ABCD] – \text{Luas lingkaran}\\
&=14×14-πr^2\\
&=14×14-π7^2\\
&=196-49π\\
\end{align}\)

 

\(\begin{align}
\text{Luas B}&=πr^2\\
&=π(7)^2\\
&=49π\\
\end{align}\)

Jadi luas berwarna biru adalah \(A+B=196-49π+49π=196\ cm²\)

 

The post Contoh Soal Seleksi Tingkat Sekolah Persiapan OSN SD tahun 2023 first appeared on BorneoMath.

]]> https://borneomath.com/contoh-soal-seleksi-tingkat-sekolah-persiapan-osn-sd-tahun-2023/feed/ 0 Soal Latihan Persiapan Lomba OSN Matematika Tingkat SD Pemula Tahun 2023 Part 1 https://borneomath.com/soal-latihan-persiapan-lomba-osn-matematika-tingkat-sd-pemula-tahun-2023-part-1/ https://borneomath.com/soal-latihan-persiapan-lomba-osn-matematika-tingkat-sd-pemula-tahun-2023-part-1/#respond Mon, 26 Dec 2022 06:18:32 +0000 https://borneomath.com/?p=6380 Olimpiade Sains Nasional atau biasa disingkat OSN merupakan ajang kompetisi tahunan dalam bidang sains bagi para pelajar SD, SMP, dan […]

The post Soal Latihan Persiapan Lomba OSN Matematika Tingkat SD Pemula Tahun 2023 Part 1 first appeared on BorneoMath.

]]> Olimpiade Sains Nasional atau biasa disingkat OSN merupakan ajang kompetisi tahunan dalam bidang sains bagi para pelajar SD, SMP, dan SMA di seluruh Indonesia. Kompetisi ini diselenggarakan oleh Pusat Prestasi Nasional di bawah Kementerian Pendidikan, Kebudayaan, Riset, dan Teknologi Republik Indonesia (Kemdikbudristek).

Sebelum Pandemi virus Corona, OSN diadakan di kota yang berbeda-beda setiap tahunnya. Pelajar yang mengikuti kompetisi ini adalah siswa-siswi terbaik dari provinsinya masing-masing yang telah lolos seleksi tingkat kabupaten dan provinsi.

Kegiatan ini juga merupakan salah satu bagian dari rangkaian seleksi untuk mendapatkan siswa-siswi terbaik yang akan dibimbing lebih lanjut oleh tim bidang kompetisi masing-masing dan akan diikutsertakan pada olimpiade-olimpiade tingkat nasional.

Berikut ini soal dan solusi latihan persiapan OSN matematika tingkat SD, semoga membantu dalam persiapan adik-adik menghadapi OSN tingkat sekolah sampai dengan Nasional.

1. Tentukan nilai dari 2023 + 202,3 + 20,23 + 2,023

2. Tanggal 16 Februari 2023 adalah hari Kamis. Tentukan hari apakah 100 hari dari tanggal tersebut !

Satu minggu = 7 hari, artinya setiap 7 hari harinya kembali ke awal.
100 hari dibagi 7 bersisa 2 hari. Jadi 2 hari setelah kamis adalah sabtu

3. Tentukan hasil penjumlahan semua bilangan prima kurang dari 20 !

Bilangan prima kurang dari \(20\) adalah \(2, 3, 5, 7, 11, 13, 17, 19\).
Jumlahnya adalah 

\(2+3+5+7+11+13+17+19=77\)

4. Jika \(𝑛\) adalah \(\frac{5}{6}\) dari \(120\), tentukan \(\frac{3}{4}\) dari \(𝑛\).

\(n=\frac{5}{6}(120)=100\) maka \(\frac{3}{4}×100=75\)

5. Tentukan nilai \(A\) pada pola barisan berikut : \(1, 2, 3, 6, 11, 20, A, 68, ….\)

Polanya adalah jumlah bilangan selanjutnya diperoleh dari hasil penjumlahan 3 bilangan sebelumnya. Jadi \(A = 6 + 11 + 20 = 37\)

6. Tentukan angka satuan dari \(3^{555}\)

\(3^1\) satuannya \(3\)
\(3^2\) satuannya \(9\)
\(3^3\) satuannya \(7\)
\(3^4\) satuannya \(1\)
\(3^5\) satuannya \(3\) 

berulang setiap 4 kali, 555 dibagi 4 bersisa 3. Jadi angka satuan dari \(3^{555}\) sama dengan angka satuan dari \(3^{3}\) yaitu 7

7. Tentukan nilai \(𝐴\) jika \(121 × 49 = 𝐴^2\)

\(121 × 49 = 𝐴^2\)
\(⇒11^2 × 7^2 = 𝐴^2\)
\(⇒77^2 = 𝐴^2\)
\(⇒77= 𝐴\)

8. Hitunglah perbandingan daerah yang diarsir dengan daerah yang tidak diarsir pada persegi berikut?

Lengkapi garis pada persegi sehingga terbentuk 16 segitiga sama luas, dimana 3 diantaranya adalah segitiga terarsir.

luas daerah yang diarsir adalah \(\frac{3}{16}\)

9. Berapa banyak angka 1 yang digunakan untuk menulis bilangan 1 sampai 100 ?

angka – angka yang memuat angka 1 yaitu

\(1, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 31, 41, 51, 61, 71, 81, 91, 100\)

banyaknya ada 21 angka 1

10. Berapa nilai rata-rata dari barisan bilangan : \(2, 4, 6, 8, …. , 98, 100\).

rata-ratanya adalah

\(\frac{2+4+6+…+100}{50}=\frac{\frac{(102)50}{2}}{50}=\frac{102}{2}=51\)

Soal Latihan Persiapan Lomba OSN Matematika Tingkat SD Tahun 2023 Part 1
Kumpulan Soal Lomba Matematika OMITS SD

The post Soal Latihan Persiapan Lomba OSN Matematika Tingkat SD Pemula Tahun 2023 Part 1 first appeared on BorneoMath.

]]> https://borneomath.com/soal-latihan-persiapan-lomba-osn-matematika-tingkat-sd-pemula-tahun-2023-part-1/feed/ 0 Problems And Solutions SEAMO PAPER B 2016 https://borneomath.com/problems-and-solutions-seamo-paper-b-2016/ https://borneomath.com/problems-and-solutions-seamo-paper-b-2016/#respond Sun, 18 Dec 2022 14:11:57 +0000 https://borneomath.com/?p=6247 The Southeast Asia Mathematical Olympiad (SEAMO) is an international Math Olympiad competition that originated in Singapore and was founded by […]

The post Problems And Solutions SEAMO PAPER B 2016 first appeared on BorneoMath.

]]> The Southeast Asia Mathematical Olympiad (SEAMO) is an international Math Olympiad competition that originated in Singapore and was founded by Mr. Terry Chew in 2016 in 8 Southeast Asian Countries. Since then, it is growing its popularity around the world. In 2019 it was recognized by 18 countries. In 2020 total number of participating countries increased to 22, including students from Indonesia, Brazil, China, Newzealand, and Taiwan students enrolled in SEAMO 2022-23.

Problem and Solution SEAMO 2016 paper B. Soal ini bersumber dari seamo-official.org

1. Find the missing number in the number pattern below.


(A) 4
(B) 5
(C) 6
(D) 7
(E) None of the above

E

2. What is the sum of first 68 digits in

\(358421358421358421…\)

(A) 246
(B) 252
(C) 261
(D) 273
(E) 284

C

3. In a new operation

3 4 = 13,
5 9 = 24,
7 7 = 28,

Find the value of 13 8

(A) 45
(B) 46
(C) 47
(D) 48
(E) None of the above

C

4. The figure shown below is a 4 × 4 square grid.


How many squares contain the dot?
(A) 8
(B) 10
(C) 12
(D) 14
(E) 16

B

5. Find the value of in the following.


(A) 23
(B) 29
(C) 37
(D) 39
(E) 41

E

6. Find the missing number.

\([( ? + 4) ×8 ] ÷ 12 = 48\)

(A) 68
(B) 70
(C) 74
(D) 76
(E) None of the above

A

7. Find the value of S in the 3 × 3 magic square shown below.


(A) 5
(B) 6
(C) 8
(D) 9
(E) 10

E

8. Find the value of

\(1 − 2 + 3 − 4 + 5 − 6 + ⋯+ 73 − 74 + 75\)

(A) 37
(B) 38
(C) 39
(D) 40
(E) None of the above

B

9. A bag contains 12 red, 10 white, 8 yellow, 3 blue and 2 black balls. Roy takes out the balls one by one without looking. At least how many balls must he take so that, for certain, he would have 4 balls of the same colour?


(A) 15
(B) 19
(C) 20
(D) 25
(E) None of the above

E

10. Circles A, B and C have areas 380 cm², 400 cm² and 420 cm² respectively. The numbers represent overlapping areas in cm². Find the total area of the figure.


(A) 780
(B) 820
(C) 960
(D) 1200
(E) None of the above

D

Problems And Solutions SEAMO PAPER B 2021
Problems And Solutions SEAMO PAPER B 2017
SEAMO PAPER B 2019 [PROBLEM And SOLUTION]

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]]> https://borneomath.com/problems-and-solutions-seamo-paper-b-2016/feed/ 0 Asian Science And Math Olympiad (ASMO) 2019 For Grade 4 https://borneomath.com/asian-science-and-math-olympiad-asmo-2019-for-grade-4/ https://borneomath.com/asian-science-and-math-olympiad-asmo-2019-for-grade-4/#respond Wed, 30 Nov 2022 02:07:42 +0000 https://borneomath.com/?p=5936 Asian Science and Maths Olympiad (ASMO) is a competition platform designed to challenge and evaluate student’s knowledge in Mathematics and […]

The post Asian Science And Math Olympiad (ASMO) 2019 For Grade 4 first appeared on BorneoMath.

]]> Asian Science and Maths Olympiad (ASMO) is a competition platform designed to challenge and evaluate student’s knowledge in Mathematics and Science at their grade level. The questions in the Olympiad will stretch their knowledge and understanding of the concepts. Our syllabus fits nicely into the syllabus that concentrates on non-routine problem-solution to prepare the students for the competition. With the expansion of STEM education worldwide, ASMO certainly answers the need of it. Students will be well prepared with the skills to meet the science and technology challenges.

In Malaysia, ASMO is officially endorsed by Ministry of Education and all participants will obtain curriculum marks. In 2018 alone, Asian Science and Mathematics Olympiad has received 70,000 entries from across the ASEAN countries. We are targeting for the number to increase at 80,000 for 2019.

We are also proud to present that ASMO International is a new effort by ASMO Malaysia which started in 2017 in Pattaya, Thailand. When it was initially launched, the competition was setup via collaboration with ASMOPSS and ASMO Thai was the host for the competition. In 2018, Malaysia has become the host for the competition and it was participated by 10 Asian countries.

The idea of opening up a new competition platform which is ASMO International is to expand the level of competition and to provide more opportunities for primary and secondary school students to experience international engagement. (sc : http://asmo2u.com/about-us)

Berikut ini problems and solution ASMO 2019 grade 4

1. Calculate：\(125×63×8=  ?\)

not yet available

2. Based on the diagram below, how many triangles are there?

not yet available

3. At the same time, two cars depart from A and B respectively. One of the car moves at a rate of 62km per hour while the other moves at a rate of 65 km per hour. After 5 hours, both of the cars meet together. What is the distance between A and B?

not yet available

4. A pond has a perimeter of 1500m. A tree is planted every 6m of the side of the pond. How many trees are planted?

not yet available

5. Calculate：\(333×334+999×222= ?\)

not yet available

6. A tourism company has 36 workers. 24 of the workers can speak English, 18 of the workers can speak French, 4 of the workers cannot speak both languages. How many workers can speak both languages?

not yet available

7. A television factory produced 3300 units of television in the first 10 days of June. 6300 units of television were produced in the remaining 20 days. What is the average number of televisions produced in a day for this month?

not yet available

8. There is a computer shop that sells computers. In the morning, the number of computers sold is 10 more than half of the computers in the shop. In the afternoon, the number of computers sold is 10 more than half of the computers remaining in the shop. At the end of the day, the number of computers remaining in the shop is 50 units. How many computers are there in the shop initially?

not yet available

9. 3 ducks require 5250g of food for 7 days. Based on the same calculation, how many grams of food is needed for 6 ducks for 15 days?

not yet available

10. When two people meet, they have to shake their hands once. Based on the same rule, how many times must 6 people shake hands when they meet?

not yet available

Asian Science and Math Olympiad (ASMO) 2018 For Grade 4
Problems And Solutions SEAMO PAPER B 2021
GRADE 4 – SAMPEL PAPER FINAL FMO 2021
Contoh Soal Lomba KST Kelas 4 Tingkat SD/MI

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]]> https://borneomath.com/asian-science-and-math-olympiad-asmo-2019-for-grade-4/feed/ 0 Asian Science And Math Olympiad (ASMO) 2019 For Grade 3 https://borneomath.com/asian-science-and-math-olympiad-asmo-2019-for-grade-3/ https://borneomath.com/asian-science-and-math-olympiad-asmo-2019-for-grade-3/#respond Wed, 30 Nov 2022 01:01:15 +0000 https://borneomath.com/?p=5927 Asian Science and Maths Olympiad (ASMO) is a competition platform designed to challenge and evaluate student’s knowledge in Mathematics and […]

The post Asian Science And Math Olympiad (ASMO) 2019 For Grade 3 first appeared on BorneoMath.

]]> Asian Science and Maths Olympiad (ASMO) is a competition platform designed to challenge and evaluate student’s knowledge in Mathematics and Science at their grade level. The questions in the Olympiad will stretch their knowledge and understanding of the concepts. Our syllabus fits nicely into the syllabus that concentrates on non-routine problem-solution to prepare the students for the competition. With the expansion of STEM education worldwide, ASMO certainly answers the need of it. Students will be well prepared with the skills to meet the science and technology challenges.

In Malaysia, ASMO is officially endorsed by Ministry of Education and all participants will obtain curriculum marks. In 2018 alone, Asian Science and Mathematics Olympiad has received 70,000 entries from across the ASEAN countries. We are targeting for the number to increase at 80,000 for 2019.

We are also proud to present that ASMO International is a new effort by ASMO Malaysia which started in 2017 in Pattaya, Thailand. When it was initially launched, the competition was setup via collaboration with ASMOPSS and ASMO Thai was the host for the competition. In 2018, Malaysia has become the host for the competition and it was participated by 10 Asian countries.

The idea of opening up a new competition platform which is ASMO International is to expand the level of competition and to provide more opportunities for primary and secondary school students to experience international engagement. (sc : http://asmo2u.com/about-us)

Berikut ini problems and solution ASMO 2019 grade 3

1. Calculate \(299 999+29 999+2 999+299+29+9=？\)

not yet available

2. What is the perimeter for the diagram below?

not yet available

3. How many quadrilaterals are there in the diagram below?

not yet available

4. Identify the pattern and fill in the blanks：

\(1 × 9 + 2 = 11\)
\(12 × 9 + 3 = 111\)
\(123 × 9 + 4 = 1111\)
.
.
.
\(1234567 × 9 + 8 =(\;\;\;\;\;\;)\)

not yet available

5. It is known that – = 36, =+++

find the value of

not yet available

6. \(240，120，（ Y ），30，15，…\)
Based on the pattern of the number line above, calculate the sum of the first and the third number.

not yet available

7. In between 10 and 40, how many multiples of 3 are there?

not yet available

8. 12 children line up to exercise. The distance between each child is 6m. How long is the line?

not yet available

9. Two boards that are nailed together has a length of 160cm. The overlapping section has a length of 45cm. One of the board has a length of 85cm, what is the length of the other board?

not yet available

10. Jia Xin used 3 days to finish reading a book. She read 27 pages on the first day and 54 pages on the remaining 2 days. What is the average number of pages read by Jia Xin each day?

not yet available

GRADE 3-HEAT ROUND FMO 2021
Grade 3-Sample Questions GJMOC
Contoh Soal Lomba KST Kelas 3 Tingkat SD/MI

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]]> https://borneomath.com/asian-science-and-math-olympiad-asmo-2019-for-grade-3/feed/ 0 Asian Science and Math Olympiad (ASMO) 2018 For Grade 4 https://borneomath.com/asian-science-and-math-olympiad-asmo-2018-for-grade-4/ https://borneomath.com/asian-science-and-math-olympiad-asmo-2018-for-grade-4/#respond Tue, 22 Nov 2022 03:38:41 +0000 https://borneomath.com/?p=5720 Asian Science and Maths Olympiad (ASMO) is a competition platform designed to challenge and evaluate student’s knowledge in Mathematics and […]

The post Asian Science and Math Olympiad (ASMO) 2018 For Grade 4 first appeared on BorneoMath.

]]>

Asian Science and Maths Olympiad (ASMO) is a competition platform designed to challenge and evaluate student’s knowledge in Mathematics and Science at their grade level. The questions in the Olympiad will stretch their knowledge and understanding of the concepts. Our syllabus fits nicely into the syllabus that concentrates on non-routine problem-solution to prepare the students for the competition. With the expansion of STEM education worldwide, ASMO certainly answers the need of it. Students will be well prepared with the skills to meet the science and technology challenges.

In Malaysia, ASMO is officially endorsed by Ministry of Education and all participants will obtain curriculum marks. In 2018 alone, Asian Science and Mathematics Olympiad has received 70,000 entries from across the ASEAN countries. We are targeting for the number to increase at 80,000 for 2019.

We are also proud to present that ASMO International is a new effort by ASMO Malaysia which started in 2017 in Pattaya, Thailand. When it was initially launched, the competition was setup via collaboration with ASMOPSS and ASMO Thai was the host for the competition. In 2018, Malaysia has become the host for the competition and it was participated by 10 Asian countries.

The idea of opening up a new competition platform which is ASMO International is to expand the level of competition and to provide more opportunities for primary and secondary school students to experience international engagement. (sc : http://asmo2u.com/about-us)

Berikut ini problems and solution ASMO 2018 grade 4

1. If \(2018 + 2019 – 2020 – 2021 + 2022 = X\)
and \(X × 1000 =Y\) , then \(Y = …?\)

2018

2. Albert has 12 pens in his pencil case while the number of pens for Dominic is 25% more than Albert. Calculate the product of their total number of pens.

180

3. \(a,a,b,c,d,a,a,b,c,d,…\)
What is the \(2018^{th}\) of letter from the left?

b

4. Calculate the ratio of area for the shaded region to the figure.

2 : 9

5. If \((6×Q) – 31= 71\), what is the value of \(Q\)?

17

6. A magic dice has shown a different result which is 2, 3, 11, 12, 7, 9, what is the probability to get the result of even number if the dice has thrown one more time? (Write in fraction)

1/3

7. Figure of have represented a different number. If

Calculate the value of

13

8. Allen is 14 year old, Allen and Alex have the same age when 4 years ago for Alex and after 2 years for Allen. Calculate the age of Alex.

20

9. What is the place value of ones of \(12345×5×15×2?\)

0

10. The length of a school field is 80m and 50m in width. After the renovation, the length and width has increased 10m in each. Calculate how much is the perimeter has increased?

40

GRADE 4-FINAL FMO 2021
Grade 4-Sample Questions GJMOC
Problems And Solutions SEAMO PAPER B 2017
Contoh Soal Lomba KST Kelas 1 Tingkat SD/MI

The post Asian Science and Math Olympiad (ASMO) 2018 For Grade 4 first appeared on BorneoMath.

]]> https://borneomath.com/asian-science-and-math-olympiad-asmo-2018-for-grade-4/feed/ 0 Asian Science and Math Olympiad (ASMO) 2018 For Grade 3 https://borneomath.com/asian-math-olympiad-2018-for-grade-3/ https://borneomath.com/asian-math-olympiad-2018-for-grade-3/#respond Mon, 21 Nov 2022 15:07:44 +0000 https://borneomath.com/?p=5704 Asian Science and Maths Olympiad (ASMO) is a competition platform designed to challenge and evaluate student’s knowledge in Mathematics and […]

The post Asian Science and Math Olympiad (ASMO) 2018 For Grade 3 first appeared on BorneoMath.

]]> Asian Science and Maths Olympiad (ASMO) is a competition platform designed to challenge and evaluate student’s knowledge in Mathematics and Science at their grade level. The questions in the Olympiad will stretch their knowledge and understanding of the concepts. Our syllabus fits nicely into the syllabus that concentrates on non-routine problem-solution to prepare the students for the competition. With the expansion of STEM education worldwide, ASMO certainly answers the need of it. Students will be well prepared with the skills to meet the science and technology challenges.

In Malaysia, ASMO is officially endorsed by Ministry of Education and all participants will obtain curriculum marks. In 2018 alone, Asian Science and Mathematics Olympiad has received 70,000 entries from across the ASEAN countries. We are targeting for the number to increase at 80,000 for 2019.

We are also proud to present that ASMO International is a new effort by ASMO Malaysia which started in 2017 in Pattaya, Thailand. When it was initially launched, the competition was setup via collaboration with ASMOPSS and ASMO Thai was the host for the competition. In 2018, Malaysia has become the host for the competition and it was participated by 10 Asian countries.

The idea of opening up a new competition platform which is ASMO International is to expand the level of competition and to provide more opportunities for primary and secondary school students to experience international engagement. (sc : http://asmo2u.com/about-us)

Berikut ini problems and solution ASMO 2018 grade 3

1. Calculate

\(2018-(2017 – 2016) + 2019 + 2018 – 2017 = ?\)

4037

2. Fill in the blank below follow by the arrangement.

238， ，216，202，186

228

3. What is the total number of the rectangles have shown below?

40

4.

Follow by the number line above. What is the value of A+B?

6

5. The age of Mrs. Wong is 24-year-old elder than Howard. This year, the age of Mrs. Wong is 4 times elder than Howard. So, what is the age of Mrs. Wong?

32

6. A team of student is planting the trees; the distance between the 6 trees are 15 m. According in this calculation, what is the meter for the 22 trees?

63

7. Victor finished 120 accessories in 3 hours. Calculate how many accessories could Victor finished in 5 hours?

200

8. The total number of students in a school is 816 students which are included male and female students. The number of the male students is 74 more than the female students. Calculate how many male students do the schools have?

445

9. Calculate

\(299999+ 29999+ 2999+ 299+ 29+9\).

333334

10. There have 3 types of fruits. According to the dialogues of the animals below and guess which is the lightest fruit.
Rabbit said: Banana is heavier than the peach.
Monkey said: Banana is heavier than the apple.
Cat said: Apple is heavier than the peach.

Peach

Problems And Solutions SEAMO PAPER B 2017
Soal Dan Kunci Jawaban Sample Paper FMO 2021 Grade 3
Problems And Solutions Future Intelligence Student Olympiad (3-4 Grades)

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]]> https://borneomath.com/asian-math-olympiad-2018-for-grade-3/feed/ 0 Problems And Solutions SEAMO PAPER B 2021 https://borneomath.com/problems-and-solutions-seamo-paper-b-2021/ https://borneomath.com/problems-and-solutions-seamo-paper-b-2021/#respond Tue, 13 Sep 2022 04:19:20 +0000 https://borneomath.com/?p=4418 The Southeast Asia Mathematical Olympiad (SEAMO) is an international Math Olympiad competition that originated in Singapore and was founded by […]

The post Problems And Solutions SEAMO PAPER B 2021 first appeared on BorneoMath.

]]> The Southeast Asia Mathematical Olympiad (SEAMO) is an international Math Olympiad competition that originated in Singapore and was founded by Mr. Terry Chew in 2016 in 8 Southeast Asian Countries. Since then, it is growing its popularity around the world. In 2019 it was recognized by 18 countries. In 2020 total number of participating countries increased to 22, including students from Indonesia, Brazil, China, Newzealand, and Taiwan students enrolled in SEAMO 2022-23.

Problem and Solution SEAMO 2021 paper B. Soal ini bersumber dari seamo-official.org

1. Find the value of 𝑚 in

\(1 + 2 + 3 + 4 + ⋯ + 𝑚 = 253\)

(A) 20
(B) 21
(C) 22
(D) 23
(E) 24

Belum tersedia

2. Shawn and Matthew have 76 books altogether. The number of books
Shawn has is 3 times the number of books of Matthew has. How many books does Shawn have?
(A) 19
(B) 27
(C) 47
(D) 57
(E) None of the above

Misalkan banyak buku Shawn adalah \(𝑆\) dan banyak buku Matthew adalah \(𝑀\). Diketahui
\(𝑆 = 3𝑀\)
\(𝑆 + 𝑀 = 76\)
\(⇒ 3𝑀 + 𝑀 = 76\)
\(⇒ 4𝑀 = 76\)
\(⇒ 𝑀 = 19\)
Jadi banyak bukunya Shawn adalah \(3 × 19 = 57\) buku

3. Find, in 𝑚² , the area of the shaded region.


(A) 17
(B) 19
(C) 35
(D) 54
(E) None of the above

\(\begin{align}
Luar\; arsiran &= Luas\; persegi\; panjang\; besar\; –\; Luas\; persegi\; panjang\; kecil\\
&= 9 × 6 − 7 × 4\\
&= 54 – 28\\
&= 26 m^2\\
\end{align}\)

4. Evaluate

\(100 − 99 + 98 − 97 + 96 − 95 + ⋯
+ 4 − 3 + 2 − 1\)

(A) 48
(B) 49
(C) 50
(D) 99
(E) 100

Belum tersedia

5. A new operation is defined as

𝑚 ※ 𝑛 = (𝑚 + 𝑛) ÷ 2

Find the value of 3 ※ (6 ※ 8)
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

Belum tersedia

6. A whole number 𝑛 is multiplied by 6. 6 is then added to this product, after which the sum is divided by 6. Finally, 6 is subtracted from the quotient, which still gives a value of 6. Find the value of 𝑛.
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14

* 6n
* 6𝑛 + 6
* \(\frac{6𝑛+6}{6}= 𝑛 + 1\)
* \(𝑛 + 1 − 6 = 6\)
\(𝑛 − 5 = 6\)
\(𝑛 = 6 + 5 = 11\)

7. Some teenagers are being questioned by the traffic police.
Adrian: I have a driving license.
Ben: I do not know how to drive.
Chris: Ben does not know how to drive.
Given that only one person is telling the truth, which of the following conclusions can we make?
(A) Both Adrian and Ben can drive
(B) Both Ben and Chris can drive
(C) Only Adrian can drive
(D) Ben cannot drive
(E) Chris cannot drive

Belum tersedia

8. There are 19 chickens, ducks and goats on a farm. The farmer counted 56 animal legs altogether. How many goats are there?
(A) 10
(B) 9
(C) 8
(D) 7
(E) 6

Belum tersedia

9. The teacher wanted to distribute 100 apples as fairly as possible to the
children at a nursery. At least one of the children received 3 apples. What could be the maximum number of children at the nursery?
(A) 36
(B) 47
(C) 49
(D) 51
(E) 53

Belum tersedia

10. Find the number of ways for an insect to climb from Point 𝐴 to Point 𝐶 , by passing through Point 𝐵.


(A) 8
(B) 9
(C) 10
(D) 11
(E) 12

Belum tersedia

The post Problems And Solutions SEAMO PAPER B 2021 first appeared on BorneoMath.

]]> https://borneomath.com/problems-and-solutions-seamo-paper-b-2021/feed/ 0 Problems and Solutions SEAMO PAPER B 2020 https://borneomath.com/problems-and-solutions-seamo-paper-b-2020/ https://borneomath.com/problems-and-solutions-seamo-paper-b-2020/#respond Fri, 19 Aug 2022 02:59:04 +0000 https://borneomath.com/?p=3700 The Southeast Asia Mathematical Olympiad (SEAMO) is an international Math Olympiad competition that originated in Singapore and was founded by […]

The post Problems and Solutions SEAMO PAPER B 2020 first appeared on BorneoMath.

]]> The Southeast Asia Mathematical Olympiad (SEAMO) is an international Math Olympiad competition that originated in Singapore and was founded by Mr. Terry Chew in 2016 in 8 Southeast Asian Countries. Since then, it is growing its popularity around the world. In 2019 it was recognized by 18 countries. In 2020 total number of participating countries increased to 22, including students from Indonesia, Brazil, China, Newzealand, and Taiwan students enrolled in SEAMO 2022-23.

Problem and Solution SEAMO 2020 paper B. Soal ini bersumber dari seamo-official.org

1. Find the value of

\((1 ÷ (2 ÷ 3) ÷ (3 ÷ 4) ÷ (4 ÷ 5) ÷ (5 ÷ 6))\)

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

Belum tersedia

2. Find the number represented by the last figure.


(A) 13
(B) 31
(C) 32
(D) 23
(E) None of the above

Belum tersedia

3. How many dots will there be in the 8th figure?


(A) 42
(B) 44
(C) 46
(D) 48
(E) None of the above

Belum tersedia

4. A new operation is defined as

\(𝑀 ∀ 𝑁 = 4𝑀 − 3𝑁\)

Find the value of \(𝑥\) in \(𝑥 ∀ 1 = 17\).
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

Belum tersedia

5. In the figure below, \(𝐴𝐵𝐶𝐷\) is a square, \(𝐵𝐶𝐸\) is a straight line where \(𝐶𝐸 = 𝑎\). It is given that the shaded region \(𝑦\) is larger than the shaded region \(𝑥\) by \(5\; 𝑐𝑚^2\).


Find the length \(𝑎\).
(A) 7 𝑐𝑚
(B) 8 𝑐𝑚
(C) 9 𝑐𝑚
(D) 10 𝑐𝑚
(E) None of the above

Belum tersedia

6. The diagonal of a square is \(12 𝑐𝑚\) as shown below. What is its area?


(A) \(68 𝑐𝑚^2\)
(B) \(72 𝑐𝑚^2\)
(C) \(74 𝑐𝑚^2\)
(D) \(76 𝑐𝑚^2\)
(E) \(80 𝑐𝑚^2\)

Belum tersedia

7. A prime number is a whole number that has exactly two positive factors, 1 and itself.
Examples of prime numbers include 2, 3,5,7,11,13, …
The sum of 2 prime numbers is 34.
Find their smallest possible product.
(A) 48
(B) 54
(C) 72
(D) 88
(E) 93

Belum tersedia

8. Find the value of 𝐵.


(A) 72
(B) 84
(C) 88
(D) 94
(E) 96

Belum tersedia

9. How many numbers are there in the sequence below?

\(4, 10, 16, 22, 28, … , 64\)

(A) 8
(B) 10
(C) 12
(D) 14
(E) None of the above

Belum tersedia

10. Marvin wrote the following sequence on the whiteboard.

\(1, 2, 3, 4, 5, 6, 7, …\)

What is the \(177^{th}\) digit he wrote?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Belum tersedia

11. How many digits are there in the product below?

\(111 111 111\times 111 111 111\)

(A) 13
(B) 14
(C) 15
(D) 16
(E) None of the above

Belum tersedia

12. Find the value of

\(1 − 2 + 3 − 4 + 5 − 6 + 7 − ⋯ − 2018 + 2019\)

(A) 840
(B) 1010
(C) 1060
(D) 2000
(E) 2018

Belum tersedia

13. Nutcharat drove from Chiang Mai to Bangkok at a speed of 120 𝑘𝑚/ℎ. She then returned from Bangkok to Chiang Mai at a speed of 80 𝑘𝑚/ℎ.
What was her average speed for the entire trip?
(A) 93 𝑘𝑚/ℎ
(B) 94 𝑘𝑚/ℎ
(C) 95 𝑘𝑚/ℎ
(D) 96 𝑘𝑚/ℎ
(E) 100 𝑘𝑚/ℎ

Belum tersedia

14. Emma’s wallet was stolen. Adam, Ben and Charles were the suspects.

Adam: “Ben stole the wallet!”
Ben: “Not me!”
Charles: “It wasn’t me.”

Given that only one person told the truth, who stole the wallet?
(A) Adam
(B) Ben
(C) Charles
(D) Adam and Ben
(E) Impossible to determine

Belum tersedia

15. What is the largest 4-digit number that is a common multiple of 5 and 8?
(A) 9900
(B) 9920
(C) 9940
(D) 9960
(E) None of the above

Belum tersedia

16. What is the first number in the \(10^{th}\) row in the following array?


(A) 163
(B) 165
(C) 167
(D) 169
(E) 171

Barisan suku-suku pertama \(1, 3, 9, 19, 33, …\)
\(1\)
\(3 = 1 + (2) = 1 + 2(1)\)
\(9 = 1 + (2 + 6) = 1 + 2(1+3)\)
\(19 = 1 + (2 + 6 + 10) = 1 + 2(1+3+5)\)
\(33 = 1 + (2 + 6 + 10 + 14) = 1 + 2(1+3+5+7)\)
Suku pertama barisan ke-10
\(1 + 2(1+3+5+7+9+11+13+15+17)\)
\(= 1 + 2(92) = 1 + 2(81) = 1 + 162 = 163\)

17. In Mathematics \(“𝐴 > 𝐵”\) means \(𝐴\) is larger than \(𝐵 ; “𝐴 < 𝐵”\) means \(𝐴\) is smaller than \(𝐵\).
Given that:

\(𝐴 = 98765\times 87654\)
and
\(𝐵 = 98756\times 87663\)

Which of the following is true?
(A) \(𝐴 > 𝐵\)
(B) \(𝐴 < 𝐵\)
(C) \(𝐴 = 𝐵\)
(D) Impossible to determine
(E) None of the above

Belum tersedia

18. The school rented some boats for 48 students to go on a boat ride. A small boat fits 3 students and costs $4 to rent. A big boat fits 5 students and costs $6 to rent. What is the minimum amount of fees the school paid to rent the boats?
(A) $54
(B) $55
(C) $56
(D) $57
(E) $58

Belum tersedia

19. There is a basket of apples. At first, 2 more than half of the apples are removed. Then, 2 less than half the remaining number of apples are removed. In the end, 20 apples remain. How many apples were there in the basket at first?
(A) 76
(B) 72
(C) 64
(D) 58
(E) 48

Belum tersedia

20. How many squares are there in the \(4\times 4\) grid?


(A) 28
(B) 30
(C) 32
(D) 34
(E) 36

Belum tersedia

21. In Mathematics,

\(3^1 = 3\)
\(3^2 = 3\times 3 = 9\)
\(3^3 = 3\times 3\times 3 = 27\)
\(3^4 = 3\times 3\times 3\times 3 = 81\)
\(⋯\)
\(⋯\)

What is the ones digit in \(33^{33}\) ?

Belum tersedia

22. By only moving → or ↓ , how many ways are there to go from 𝐴 to 𝐵 while passing through 𝑋?

Belum tersedia

23. The sum of two numbers, \(𝐴\) and \(𝐵\), is \(42\). If \(𝐴\) is multiplied by \(5\) and \(𝐵\) is multiplied by \(3\), their new sum is \(182\). Find the value of \(𝐴\).

Belum tersedia

24. A car travels for 10 minutes at half its full speed. It then travels at full speed
for the next 10 minutes. If the car travelled 21 𝑘𝑚 altogether, what is its full speed in 𝑘𝑚/ℎ ?

Belum tersedia

25. The figure shows 2 squares of different sizes. The area of the shaded region is \(25\) 𝑐𝑚^2. Find the perimeter (in cm) of the shaded region, given that the side length of the square is a natural number.

Belum tersedia

Baca juga

The post Problems and Solutions SEAMO PAPER B 2020 first appeared on BorneoMath.

]]> https://borneomath.com/problems-and-solutions-seamo-paper-b-2020/feed/ 0 Contoh Soal Lomba KST Kelas 3 Tingkat SD/MI https://borneomath.com/contoh-soal-lomba-kst-kelas-3-tingkat-sd-mi/ https://borneomath.com/contoh-soal-lomba-kst-kelas-3-tingkat-sd-mi/#respond Sun, 14 Aug 2022 12:51:22 +0000 https://borneomath.com/?p=3416 Lomba Matematika dan Sains Terbuka KST adalah lomba yang diadakan oleh perkumpulan pembina olimpiade Jawa Tengah (PPO JATENG). Bidang yang […]

The post Contoh Soal Lomba KST Kelas 3 Tingkat SD/MI first appeared on BorneoMath.

]]> Lomba Matematika dan Sains Terbuka KST adalah lomba yang diadakan oleh perkumpulan pembina olimpiade Jawa Tengah (PPO JATENG). Bidang yang diperlombakan adalah Matematika dan Sains mulai dari kelas 1 sampai dengan kelas 9. Mulai Tahun 2022 lomba ini diadakan serentak diseluruh Indonesia. Keterangan lengkap tentang pendaftaran bisa cek di menu https://borneomath.com/category/info-lomba/

Berikut ini contoh soal dan pembahasan KST kelas 2 SD/MI. soal diambil dari www.ppojateng.org

1. Nilai dari \(7 \times  8 – 9\times 11 – 4\times 6 + 123 = …\) .
A. 56
B. 61
C. 65
D. 66

\(7 \times  8 – 9\times 11 – 4\times 6 + 123\)
\(=56-99-24+123\)
\(=56+123-99-24\)
\(=56\)

2. Jumlah bilangan-bilangan prima antara \(20\) dan \(50\) adalah … .
A. 204
B. 251
C. 290
D. 300

Bilangan prima antara \(20\) dan \(50\) adalah \(\{23, 29, 31, 37, 41, 43, 47\}\)
Jumlah bilangan primanya adalah \(23+29+31+37+41+43+47=251\) 

3. Perhatikan pola susunan batang korek api pada gambar di bawah ini. Jika
diperlukan 56 batang korek api, maka susunan akan terdiri dari … segienam
beraturan.


A. 10
B. 11
C. 12
D. 13


pola 1 : \(6\)
pola 2 : \(6+5= 6+(2-1)5=6+5=11\)
pola 3 : \(6+5+5=6+(3-1)5=6+10=16\)
pola 4 : \(6+5+5+5=6+(4-1)5=6+15=21\)
…
Pola n : \(6+5+5+…+5=6+(n-1)5\)
Diketahui pola ke-m adalah 56

\(6+(m-1)5=56⇒(m-1)5=50⇒m-1=10⇒m=11\)

4. Jam analog di samping menunjukkan waktu setelah matahari terbenam. Manakah jam digital berikut yang menunjukkan waktu yang sama dengan jam analog tersebut?


A.

B.

C.

D.

Waktu setelah matahari terbenam yang tepat adalah 

5. Banyaknya kubus kecil yang digunakan untuk menyusun bangun di samping ini.


A. 15
C. 17
B. 16
D. 18

Bagian kiri ada 7 kubus
Bagian tengah ada 3 kubus
Bagian kanan ada 5 kubus

Jadi banyak kubus seluruhnya adalah 7+3+5 = 15 kubus

6. Diketahui barisan bilangan seperti di bawah : \(1, 4, 5, 9, 14, 23, ♠, ⊗, 97.\) Nilai dari bilangan ke-6 atau pengganti \(⊗\) adalah … .
A. 37
C. 60
B. 50
D. 67

Polanya adalah  tiap suku setelah suku ke-2 diperoleh dari penjumlahan dua suku sebelumnya.
\(♠=14+23=37\)
\(⊗=23+37=60\)

7. Jika pada tanggal 3 November 2019 adalah hari Minggu, maka pada tanggal 3 Desember 2019 adalah hari … .
A. Minggu
B. Senin
C. Selasa
D. Rabu

Bulan November berakhir ditanggal 30 November
Dari tanggal 3 November ke 3 Desember ada 30 hari.
30 dibagi 7 bersisa 3. Jadi 2 hari setelah minggu adalah hari selasa

8. Rafa membaca sebuah buku. Bab ke-7 dimulai pada halaman 249 dan berakhir pada halaman 271. Berapa banyaknya halaman pada Bab ke-7 tersebut?
A. 21
C. 23
B. 22
D. 24

Banyak halaman \(271-249+1=23\)

9. Perpustakaan “Math Olympiad” memesan 218 buku bacaan. Pada hari Senin dikirim sebanyak 46 buku, pada hari Selasa dikirim lagi 9 buku lebih sedikit daripada hari Senin, dan sisanya dikirim pada hari Rabu. Banyaknya buku yang dikirim pada hari Rabu adalah . . . buah.
A. 153
C. 143
B. 144
D. 135

Total pesanan buku adalah 218 buku
Hari senin dikirim 46 buku
Hari selasa 9 lebih sedikit dari Senin yaitu 37 buku.
Sisa buku dikirim di hari rabu.

Banyak buku yang dikirim hari rabu adalah 218 – 46 – 37 = 135 buku

10. Berapa banyak batu bata yang hilang dari dinding di bawah ini.


A. 9
B. 8
C. 7
D. 6

dari gambar di atas terlihat bahwa banyak batu yang digunakan adalah 8 batu

11. Manik manik yang tertutup pada rangkaian manik manik di bawah sebanyak …


A. 10
B. 9
C. 8
D. 7

Warna hitam membentuk pola : 1, 2, 3, 4, 5, 6, …
Warna putih membentuk pola : 1, 2, 3, 4, 5, 6, …

Berdasarkan pola di atas maka kemungkinan bola yang tersembunyi adalah

4 bola hitam dan 6 bola putih, totalnya ada 10 bola yang tersembunyi.

12. Tiga tahun yang lalu, jumlah umur Sabrina dan saudara kembarnya adalah 12 tahun. Berapa umur Sabrina empat tahun yang akan datang ?
A. 9 tahun
B. 11 tahun
C. 13 tahun
D. 17 tahun

Misalkan umur Sabrina dan saudara kembarnya sekarang adalah \(x\), Tiga tahun yang lalu, jumlah umur Sabrina dan saudara kembarnya adalah 12 tahun maka dapat ditulis dalam persamaan;
\((x – 3) + (x – 3) = 12\)
\(2x – 6 = 12\)
\(2x = 18\)
\(x=9\)

Jadi umur Sabrina empat tahun yang akan datang adalah \(=9+4=13\) tahun

13. Jika \(53 – 9 × 4 = 28 + Ω – 7 × 5\), maka nilai \(Ω\) yang benar adalah … .
A. 24
B. 26
C. 28
D. 30

\(53 – 9 × 4 = 28 + Ω – 7 × 5\)
\(53 – 36 = 28 + Ω – 35\)
\(17 + 35 – 28 =  Ω \)
\(52 – 28 =  Ω \)
\(Ω = 24 \)

14. Zahra melihat lima ekor burung yang hinggap di atas kawat. Beberapa dari burung tersebut ada yang melihat ke kiri, ada pula yang melihat ke kanan seperti pada gambar. Masing-masing burung burung berkicau sekali untuk setiap burung yang dilihatnya. Sebagai contoh burung yang di tengah berkicau 2 kali, karena ia melihat burung ke-4 dan burung ke-5.
Berapa total kicauan burung yang didengar oleh Zahra ?

A. 13
B. 14
C. 15
D. 16

Burung (1) : 4 kicauan (karena melihat 4 burung lainnya)
Burung (2) : 1 kicauan (karena hanya melihat burung bernomor (1))
Burung (3) : 2 kicauan (karena melihat burung (4) dan (5))
Burung (4) : 3 kicauan (karena melihat burung (1), (2) dan (3))
Burung (5) : 4 kicauan (karena melihat 4 burung lainnya)

Jadi total kicauan adalah 4 + 1 + 2 + 3 + 4 = 14 kicauan

15. Athiya mempunyai 22 keping CD lagu anak-anak. Temannya Athiya yang bernama Soraya berkata: “Jika kamu memberikan 4 CD mu kepada aku, maka kita akan mempunyai CD yang sama banyaknya”. Berapa keping CD yang dimiliki oleh Soraya ?
A. 14
B. 16
C. 18
D. 20

Jika Athiya memberikan 4 CD ke Soraya maka sisa CD Athiya adalah 18, Jumlah CD Soraya sekarang juga 18, Jadi banyak CD Soraya mula-mula adalah 14 buah

16. Fathir menuliskan bilangan 1 sampai 49. Jika semua angka yang ditulis
Fathir dijumlahkan, maka hasil penjumlahan yang diperoleh adalah … .
A. 280
B. 300
C. 325
D. 345

1, 2, 3, 4, 5, …, 49

Jumlah angka-angka yang ditulis Fatir yaitu

  • Dari 1 sampai dengan 9
    jumlahnya adalah 1+2+3+…+9 = 45
  • Dari 10 sampai dengan 19 adalah 1 + 2 + 3 + …+10 = 55
  • Dari 20 sampai dengan 29 adalah 2 + 3 + 4 + … + 11 = 65
  • Dari 30 sampai dengan 39 adalah 3 + 4 + 5 + … + 12 = 75
  • Dari 40 sampai dengan 49 adalah 4 + 5 + 6 + … + 13 = 85

Jadi jumlah semua angka yang ditulis adalah 45 + 55 + 65 + 75 + 85 = 325

17. Berat badan ibu Hasna 24 kg lebih berat dari berat badan Hasna. Jika jumlah berat badan mereka 82 kg, maka berapa berat badan ibu Hasna?
A. 29 kg
B. 46 kg
C. 53 kg
D. 58 kg

Misalkan berat badan Ibu Hasna I dan berat badan Hasna adalah H

I = H + 24 dan

I + H = 82, ganti I menjadi H + 24, diperoleh

H + 24 + H = 82
2H = 82 – 24
2H = 58
H = 29

Jadi berat badan ibu Hasna adalah 29 + 24 = 53 kg

18. Kelinciku hanya memakan kubis dan wortel. Minggu lalu ia makan 8 wortel atau 2 kubis setiap harinya. Jika kelinci memakan 6 kubis minggu lalu, berapa banyak wortel yang dimakan kelinci tersebut minggu lalu?
A. 8
C. 24
B. 16
D. 32

Kelinci memakan wortel dalam seminggu 42 wortel atau 14 kubis. Jika kelinci memakan kubis minggu lalu sebanyak 6 kubis, artinya dari 7 hari, 3 hari kelinci makan kubis, sisa 4 hari kelinci memakan wortel.

Jadi banyak wortel yang dimakan kelinci adalah sebanyak 4 × 8 = 32 Wortel 

19. Satria mengikuti lomba matematika yang terdiri dari 30 soal pilihan ganda. Setiap jawaban yang benar diberi nilai 4 dan setiap jawaban yang salah membuat nilai Satria dikurangi 1. Jika Satria menjawab semua soal dan 23 nomor jawabannya benar, maka nilai Satria adalah … .
A. 92
C. 83
B. 85
D. 69

Karena Satria menjawab semua dan menjawab benar sebanyak 23 nomor, berarti ada 7 nomor yang di jawab salah.

Poin benar = 23 × 4 = 92 poin
Poin Salah = 7 × 1 = 7 poin

Jadi total poin yang diperoleh Satria adalah 92 – 7 = 85 poin

20. Sebuah pola pada dinding dibuat dengan keramik yang memiliki 2 jenis warna yaitu hitam dan putih. Beberapa keramik terjatuh dan menyisakan sisa seperti pada gambar, tentukan berapa banyak keramik berwarna hitam yang terjatuh .


A. 9
C. 11
B. 10
D. 12

Dengan cara melengkapi gambar 

terdapat 11 keramik berwarna hitam yang jatuh

Baca juga

 

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