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1 Semester Ganjil
KELAS KHUSUS BERBAKAT B
KELAS 7
Student
PERTEMUAN 4
REVIEW 1
Contoh Soal
1. Jika 0.0𝑎 = 0.0𝑎𝑎𝑎𝑎𝑎 …. maka
70.7 + 0.07
7 × 13 ×
1
9
= ⋯.
2. Nisa berlatih untuk lari setengah maraton dengan jarak 13,1 mil. Ia mulai latihan pada
minggu pertama dengan lari 2 mil dan minggu kedua lari 4 mil. Setiap minggu
sesudahnya, jaraknya meningkat 20% dari jarak minggu sebelumnya. Di minggu ke
berapa untuk pertama kali ia melampaui 13,1 mil selama seminggu?
3. In adding two numbers, one student made a mistake by writing 0 at the end of one of
the numbers. Thus, he obtained a 4932 instead of 2277. What is the smallest number?
4. The difference of four digits number aabb and bbaa is a perfect square number
greater than 2000 and less than 5000. How many pairs of all possible value a and b
where a b
 .
5. Find the smallest positive integer n so that (n + 198) and (n + 282) are both perfect
squares.
6. The integer𝑁 is the square of a square and has 24 as a factor. The least value of
𝑁
24
is….
7. Find the smallest whole number which is exactly divisible by 1 1 1 1 1
1 , 1 , 1 , 3 and 5 .
2 3 4 2 4
8. A five-digit number consists if distinct digits. It is divisible by 3, 5, 7, and 11. Find the
greatest five-digit number that satisfies the condition.
9. Find the greatest number of six digits which when divided by 5, 7, 12, and 15 leaves
respectly remainders 3, 5, 10 and 13.
10. Tentukan bilangan bulat positif 2-angka terbesar yang memiliki 12 faktor positif.
2 Semester Ganjil
KELAS KHUSUS BERBAKAT B
KELAS 7
Student
Exercise
1. Banyaknya angka yang digunakan untuk nomor semua halaman sebuah buku adalah
216. Tentukan banyaknya halaman yang ada pada buku tersebut.
2. When Andi packed her pencils into bundles of 8 pencils there were 4 pencils left
unpacked. When he repacked her pencils into bundles of 9, there were again 4 left.
Finally, when Andi packed his pencils into bundles of 10, there were no pencils left
unpacked. The smallest possible number of pencils that Andi could have is ….
3. The number n is such that each pair of the numbers 36, 48, n has the same highest
common factor and each pair of the numbers 12, 14, n has the same least common
multiple. What is n?
4. The digits 5, 6, 7, 8 and 9 are each used once to compose a five-digit number 𝑎𝑏𝑐𝑑𝑒,
such that the three-digit number 𝑎𝑏𝑐is divisible by 4, 𝑏𝑐𝑑is divisible by 5, and 𝑐𝑑𝑒 is
divisible by 3. Find the number 𝑎𝑏𝑐𝑑𝑒.
5. When each of numbers 1035, 1491, and 1947 is divided by number 𝐷, they give the
same reminder 𝑅. Find the largest value of 𝐷 + 𝑅.
6. Find the sum of all positive factors of 60.
7. S is set of numbers from 1 to 100 whose smallest prime factor is 7. How many number
are in S?
8. If (𝑛 + 5)(𝑛 + 11) + 𝑚 is a perfect square number, then m is ….
9. Berapa banyak bilangan 4-angka yang habis dibagi 3, 4, dan 5?
10. Empat relawan dapat mengemas 12 kotak setiap 30 menit. Berapa banyak relawan
tambahan yang dibutuhkan untuk mengemas 72 kotak setiap jam? [Anggap semua
relawan bekerja dengan kecepatan yang sama]
SELAMAT MENIKMATI

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Materi 1-Berbakat B07-MTK--1691117813.pdf

  • 1. 1 Semester Ganjil KELAS KHUSUS BERBAKAT B KELAS 7 Student PERTEMUAN 4 REVIEW 1 Contoh Soal 1. Jika 0.0𝑎 = 0.0𝑎𝑎𝑎𝑎𝑎 …. maka 70.7 + 0.07 7 × 13 × 1 9 = ⋯. 2. Nisa berlatih untuk lari setengah maraton dengan jarak 13,1 mil. Ia mulai latihan pada minggu pertama dengan lari 2 mil dan minggu kedua lari 4 mil. Setiap minggu sesudahnya, jaraknya meningkat 20% dari jarak minggu sebelumnya. Di minggu ke berapa untuk pertama kali ia melampaui 13,1 mil selama seminggu? 3. In adding two numbers, one student made a mistake by writing 0 at the end of one of the numbers. Thus, he obtained a 4932 instead of 2277. What is the smallest number? 4. The difference of four digits number aabb and bbaa is a perfect square number greater than 2000 and less than 5000. How many pairs of all possible value a and b where a b  . 5. Find the smallest positive integer n so that (n + 198) and (n + 282) are both perfect squares. 6. The integer𝑁 is the square of a square and has 24 as a factor. The least value of 𝑁 24 is…. 7. Find the smallest whole number which is exactly divisible by 1 1 1 1 1 1 , 1 , 1 , 3 and 5 . 2 3 4 2 4 8. A five-digit number consists if distinct digits. It is divisible by 3, 5, 7, and 11. Find the greatest five-digit number that satisfies the condition. 9. Find the greatest number of six digits which when divided by 5, 7, 12, and 15 leaves respectly remainders 3, 5, 10 and 13. 10. Tentukan bilangan bulat positif 2-angka terbesar yang memiliki 12 faktor positif.
  • 2. 2 Semester Ganjil KELAS KHUSUS BERBAKAT B KELAS 7 Student Exercise 1. Banyaknya angka yang digunakan untuk nomor semua halaman sebuah buku adalah 216. Tentukan banyaknya halaman yang ada pada buku tersebut. 2. When Andi packed her pencils into bundles of 8 pencils there were 4 pencils left unpacked. When he repacked her pencils into bundles of 9, there were again 4 left. Finally, when Andi packed his pencils into bundles of 10, there were no pencils left unpacked. The smallest possible number of pencils that Andi could have is …. 3. The number n is such that each pair of the numbers 36, 48, n has the same highest common factor and each pair of the numbers 12, 14, n has the same least common multiple. What is n? 4. The digits 5, 6, 7, 8 and 9 are each used once to compose a five-digit number 𝑎𝑏𝑐𝑑𝑒, such that the three-digit number 𝑎𝑏𝑐is divisible by 4, 𝑏𝑐𝑑is divisible by 5, and 𝑐𝑑𝑒 is divisible by 3. Find the number 𝑎𝑏𝑐𝑑𝑒. 5. When each of numbers 1035, 1491, and 1947 is divided by number 𝐷, they give the same reminder 𝑅. Find the largest value of 𝐷 + 𝑅. 6. Find the sum of all positive factors of 60. 7. S is set of numbers from 1 to 100 whose smallest prime factor is 7. How many number are in S? 8. If (𝑛 + 5)(𝑛 + 11) + 𝑚 is a perfect square number, then m is …. 9. Berapa banyak bilangan 4-angka yang habis dibagi 3, 4, dan 5? 10. Empat relawan dapat mengemas 12 kotak setiap 30 menit. Berapa banyak relawan tambahan yang dibutuhkan untuk mengemas 72 kotak setiap jam? [Anggap semua relawan bekerja dengan kecepatan yang sama] SELAMAT MENIKMATI