PREDIKSI SOAL TKA MATEMATIKA SMP 2026 | Mantappu Academy

Summary

In this engaging educational video, the instructor from Mantap Academy guides middle school students through a variety of challenging TKA-level math problems. Covering topics such as fractions, percentages, functions, discounts, pattern recognition, similar triangles, and Pythagoras, the lesson emphasizes step-by-step problem-solving, practical tips, and visual strategies. Viewers learn how to simplify complex calculations, identify patterns, and apply formulas effectively. The video also highlights the importance of systematic reasoning and careful analysis over assumptions, while encouraging students to practice consistently. Throughout, the instructor promotes an interactive learning experience and introduces their online TKA preparation classes.

Takeaways

• 📘 The video explains several junior high school TKA math problems, focusing on number operations, functions, discounts, patterns, similarity, and geometry.
• 🧮 Students are reminded to follow the correct order of operations: parentheses, exponents, multiplication/division, then addition/subtraction.
• 🔢 Different forms of rational numbers such as percentages, decimals, and fractions should be converted into the same form before performing calculations.
• ✂️ Simplifying fractions by canceling common factors before multiplying makes calculations easier and prevents dealing with very large numbers.
• 📐 Function problems can be solved by substituting values into the function formula and using systems of linear equations to find unknown variables.
• ⚡ In multiple-choice questions, eliminating obviously incorrect options can save time during exams like the TKA.
• 🏷️ Discount problems require calculating the actual price after discounts rather than simply comparing percentage totals.
• 🛍️ A store with the largest combined discount percentage does not always provide the cheapest final price because original prices also matter.
• 🧩 Pattern problems can be solved either by identifying numerical sequences or by analyzing the visual structure of the shapes.
• 🔍 Visual reasoning is important in geometry and pattern questions because hidden relationships are often easier to spot through diagrams.
• 📏 Similarity concepts are used by identifying equal angles and corresponding sides to solve problems involving distances and proportions.
• 🌉 Parallel lines and vertically opposite angles help prove that two triangles are similar in geometry problems.
• 📊 The speaker emphasizes the importance of understanding which sides correspond to each other when using proportional relationships in similar figures.
• 📦 For geometry involving composite shapes, students should carefully identify all outer edges when calculating perimeter.
• 📐 The Pythagorean theorem can appear unexpectedly inside larger geometry problems and is often needed to find missing lengths.
• 💡 The video encourages students to practice many mixed-concept problems because advanced TKA questions combine multiple math skills in one problem.
• 🎓 The presenter repeatedly promotes an online TKA preparation class that includes live lessons, recordings, practice modules, and a student community.

Q & A

What is the correct order of operations when solving arithmetic problems as explained in the video?

The order of operations is: Parentheses → Exponents → Multiplication/Division → Addition/Subtraction, abbreviated as 'KUPA KABATANG'. Always start with operations inside parentheses first.

How should you handle different forms of numbers, such as percentages and decimals, when performing arithmetic operations?

Convert all numbers to the same form, either fractions or decimals, before performing operations. For example, 12.5% can be converted to 125/1000 to match 0.625 as 625/1000.

What is the method for subtracting and dividing fractions as shown in the first example?

First, perform multiplication or division before addition or subtraction. For division of fractions, flip the second fraction and multiply. Simplify fractions whenever possible to make calculations easier.

How do you determine the values of 'a' and 'b' in a linear function given f(x) values?

Substitute the given x-values into the function f(x) = ax + b to create a system of equations, then use elimination or substitution to solve for 'a' and 'b'.

What is the correct way to compare prices with different discount percentages?

Calculate the actual price paid for each item after the discount using the formula: Price_after_discount = Original_price × (100% - discount). Then sum the total costs to find the cheapest option.

How can you find the number of unit squares in a complex visual pattern?

Convert the visual pattern into numbers, identify the growth pattern (e.g., n² + 4n for the nth pattern), and then use the formula to calculate the total number of unit squares for any given pattern number.

What steps are involved in solving problems using similar triangles or proportional sides?

1) Identify pairs of equal angles to confirm similarity. 2) Match corresponding sides. 3) Set up proportions between sides. 4) Solve for the unknown side using cross multiplication.

How can the Pythagorean theorem be applied to calculate the perimeter of a composite shape?

Break the shape into smaller right triangles and rectangles. For right triangles, use the Pythagorean theorem (a² + b² = c²) to find the hypotenuse. Sum all outer sides to calculate the total perimeter.

Why can’t you assume the largest discount percentage always gives the lowest total price?

Because the items’ original prices differ. A higher discount on a cheaper item may result in a higher total cost than a smaller discount on a more expensive item. Actual discounted prices must be calculated.

What are some tips for solving TKA SMP level questions efficiently?

1) Simplify numbers and fractions whenever possible. 2) Eliminate obviously wrong multiple-choice answers. 3) Use visual patterns for geometry and sequences. 4) Focus on corresponding sides and angles for similarity. 5) Use formulas directly for repeated patterns.

How do you calculate the side length of a square if the area is given?

Take the square root of the area. For example, if the area is 25, the side length is √25 = 5.

What strategy is recommended for finding the perimeter of a shaded area made of overlapping squares?

Identify all external edges by tracing around the shaded area. Use known side lengths, Pythagorean theorem for diagonal segments, and sum all external sides to find the total perimeter.