PART 5 LATIHAN SOAL TKA MATEMATIKA SMP MTS 2026 (BILANGAN REAL) | PREDIKSI TKA SMP 2026 #TKA

Summary

In this educational video, the instructor walks viewers through solving math problems for 9th-grade students preparing for the TKA (National School Entrance Exam). Topics covered include prime factorization, solving work and time problems, and calculating simple interest. The instructor explains each step clearly using examples, encouraging viewers to interact by commenting with questions or answers. Additionally, viewers are introduced to practice ebooks with a collection of problems and solutions to aid in their studies. The video promotes active engagement, with calls to like, share, and subscribe for more educational content.

Takeaways

• 😀 The video is a math tutoring channel called Bimbingan Belajar, Arohana, focusing on SMP/Grade 9 TKA preparation problems.
• 😀 It covers three practice questions (numbers 13–15) centered on prime factorization, inverse proportionality, and simple interest.
• 😀 The teaching style emphasizes a step-by-step approach, starting from easier problems to build understanding before moving on.
• 😀 For prime factorization, the method used is a factor tree, beginning with the smallest prime 2 and continuing with subsequent primes.
• 😀 The prime factorization of 1260 is shown as 2^2 · 3^2 · 5^1 · 7^1, yielding p=2, q=2, r=1, s=1 and p+q+r+s=6.
• 😀 The lesson demonstrates how to determine p+q+r+s by counting exponents in the prime factorization.
• 😀 Problem 14 introduces inverse proportionality: more workers mean fewer days to complete a job, keeping the total amount of work constant.
• 😀 The solution to problem 14 uses the product relationship: 40 days × 15 workers = 30 days × x workers, giving x=20 and thus 5 additional workers (20−15).
• 😀 Problem 15 deals with simple interest: B = P × r × t, with P = 4,000,000, r = 8% per year, and t in years.
• 😀 For 6 months, the interest is 160,000, so the total after 6 months is 4,160,000.
• 😀 For 1.5 years (18 months), the interest is 480,000, making the total 4,480,000, which confirms statements A and B as true.
• 😀 For 2 years (24 months), the total would be 4,640,000, which means statement C is false.
• 😀 The video ends with a call to action: like, share, subscribe, and enable the notification bell, plus links to purchase practice ebooks.
• 😀 It promotes four ebook bundles (two packs per bundle, 25 questions per pack, covering bilangan, aljabar, penyajian data, geometri) and provides a WhatsApp contact for purchases.

Q & A

What is the main topic discussed in the video?

The video focuses on solving practice questions for the TKA Mathematics preparation for 9th-grade SMP students, specifically covering topics related to numbers and basic mathematics concepts.

How is the prime factorization of 1260 performed in the video?

The prime factorization of 1260 is done using a factor tree. The steps are: 1260 ÷ 2 = 630, 630 ÷ 2 = 315, 315 ÷ 3 = 105, 105 ÷ 3 = 35, 35 ÷ 5 = 7. The prime factorization is therefore 2² × 3² × 5¹ × 7¹.

How is the sum p + q + r + s calculated for the prime factorization problem?

From the prime factorization 2² × 3² × 5¹ × 7¹, we have p=2, q=2, r=1, s=1. Adding them together: 2 + 2 + 1 + 1 = 6.

What method is used to solve the problem involving workers and days to complete a bridge?

The problem is solved using inverse proportion (perbandingan berbalik nilai). The total work is calculated as 40 days × 15 workers = 600. Then, to finish in 30 days, the required workers = 600 ÷ 30 = 20 workers. Additional workers needed = 20 - 15 = 5 workers.

Why is the workers and days problem considered an inverse proportion problem?

It is inverse because as the number of workers increases, the time to complete the task decreases, and vice versa. This is the key characteristic of inverse proportionality.

How is the interest for Pak Hendra’s savings calculated for 6 months?

The interest is calculated using simple interest: Interest = Principal × Time × Rate. For 6 months, which is half a year, the interest is 4,000,000 × 0.5 × 0.08 = 160,000 IDR.

How is the total savings calculated after 1.5 years?

1.5 years is 18 months. The interest per 6 months is 160,000 IDR. For 18 months: 160,000 × 3 = 480,000 IDR. Adding this to the principal: 4,000,000 + 480,000 = 4,480,000 IDR.

Why is the statement about Pak Hendra’s savings reaching 4.8 million after 2 years incorrect?

After 2 years (24 months), the interest accumulated would be 160,000 × 4 = 640,000 IDR. Total savings = 4,000,000 + 640,000 = 4,640,000 IDR, which is less than 4.8 million. Hence, the statement is false.

What is the purpose of using the factor tree method in prime factorization?

The factor tree method helps systematically break down a number into its prime factors, making it easier to organize the factors and apply them for calculations like LCM, GCD, or exponent sums.

What additional resources does the video suggest for practicing TKA mathematics questions?

The video mentions that four e-books have been released, each containing two sets of 25 questions covering numbers, algebra, data presentation, and geometry, with complete solutions. They are suitable for tryouts or self-study.

How does the instructor suggest viewers interact with the video content?

Viewers are encouraged to comment on the answers they find, indicate which statements are true or false in the savings problem, and ask questions if they need clarification on the solutions.