BAHAS + TIPS N TRICK SOAL TKA SMP 2026 | Mantappu Academy

Summary

In this video, Mantapu Akademi presents a comprehensive TKA SMP preparation session. Kak Eva guides students through a variety of math topics, including geometry (calculating areas with variables), functions, data interpretation via bar charts, ratios, and problem-solving with promotions. Each concept is explained step-by-step with practical tips, such as visualizing problems and using variables for ratios. The session also highlights the benefits of the academy’s intensive TKA program, offering live classes, recorded sessions, practice modules, and a supportive Discord community. Engaging and thorough, this video equips students with strategies, practice, and confidence for their TKA SMP exams.

Takeaways

• 😀 The video focuses on helping students prepare for the TKA SMP exam with practical examples and problem-solving techniques.
• 😀 The first problem addresses calculating the area of a rectangular park using algebraic expressions for its length and width.
• 😀 For the geometry problem, the length of the park is represented as '3x + 2' and the width as '2x - 1'. The solution is provided by substituting x = 4 to find the area.
• 😀 The second problem involves finding the algebraic expression for the area of a rectangle, where the length and width are given as binomial expressions. The correct formula is derived as '6x² + x - 2'.
• 😀 A promotion for the MAT Akademi TKA preparation program is mentioned, offering intensive training with live classes, study materials, and practice exercises.
• 😀 The third problem explains the concept of functions using the metaphor of a blender, where input values (like '3') are processed by the function f(x) = 4x - 9 to yield an output.
• 😀 The function problem involves calculating values for 'A' and 'B' by substituting values into the function and solving for the unknowns.
• 😀 The fourth problem uses a bar graph to calculate the percentage increase in the number of students participating in extracurricular activities from January to March.
• 😀 The correct answer for the percentage increase is calculated to be 80% after analyzing the bar graph data for the months of January (50 students) and March (90 students).
• 😀 The final problem focuses on solving a ratio problem involving workers in a factory. The initial ratio of male to female workers is 3:5, and changes in the number of workers are used to find the total number of workers at the beginning.
• 😀 A promotional offer for the TKA preparation program includes access to live sessions, study materials, Discord community support, and affordable pricing, all aimed at enhancing student success in the exam.

Q & A

What is the formula for calculating the area of the rectangular park in the video?

The area of the rectangular park is calculated using the formula: Area = length × width, where length = 3x + 2 and width = 2x - 1. When expanded algebraically, the area is 6x² + x - 2.

If x = 4, what is the area of the park, and how is it calculated?

When x = 4, the length is 3*4 + 2 = 14 and the width is 2*4 - 1 = 7. Therefore, the area = 14 × 7 = 98 square units.

How does the video explain the concept of a function?

The video explains a function as a 'blender' where the input (x or element from set A) is processed to produce an output (f(x) or element in set B). For example, f(x) = 4x - 9 transforms an input number into a specific output.

Given f(x) = 4x - 9, what are the values of A and B if f(3) = A and f(B) = -17?

A = f(3) = 4*3 - 9 = 3. B is found by solving 4B - 9 = -17, which gives B = -2. Therefore, A - B = 3 - (-2) = 5.

How is the percentage increase in students participating in extracurricular activities from January to March calculated?

The number of students increased from 50 in January to 90 in March. Percentage increase = (90 - 50) / 50 × 100% = 40 / 50 × 100% = 80%.

How do you solve the worker ratio problem where initially the ratio of men to women is 3:5 and changes to 1:2 after adjustments?

Let men = 3x and women = 5x. After 5 men leave and 5 women join, the new ratio is (3x - 5) : (5x + 5) = 1:2. Solving 2*(3x - 5) = 5x + 5 gives x = 15. Total workers initially = 8x = 120.

In the store promotion problem, how is the total cost calculated when buying 2 pens and 2 pencils with the 'buy 4 get cheapest free' offer?

Total price without discount: 12 + 12 + 8 + 8 = 40. The cheapest item (pencil = 8) is free, so total cost = 40 - 8 = 32.

What teaching tips does the video provide for solving geometry and function problems?

Tips include visualizing geometry problems with drawings, focusing on what is asked, substituting values directly into functions, and understanding the concept of input-output in functions.

What strategy does the video suggest for solving ratio and proportion problems?

The video suggests using a variable to represent multiples of the ratio (e.g., 3x for men, 5x for women) and then solving equations based on changes in the quantities to find the actual numbers.

What are the benefits of joining the TKA program promoted in the video?

Benefits include live online classes, recorded sessions, study modules, practice exercises, access to a Discord community for discussion, and structured learning to improve readiness for TKA exams.