UTBK 2025 QUESTIONS MATHEMATICAL REASONING PART 5

Summary

In this video, the presenter discusses how to approach and solve complex UTBK (Indonesian University Entrance Exam) mathematics reasoning questions in an easy-to-understand manner. By analyzing real exam questions and breaking them down step-by-step, the presenter aims to boost the confidence of students preparing for the UTBK 2025. The session covers various topics, including geometry, ratio, and movement-related problems, while emphasizing the importance of consistent practice and understanding core concepts. The video also features motivational messages and testimonials from past students who have successfully joined universities after attending online classes.

Takeaways

• 😀 The speaker encourages students to feel confident and prepared for the UTBK exam by solving mathematics literacy questions.
• 😀 The first question involves analyzing a problem about two inclined planes on a truck, and using the Pythagorean theorem to calculate the area of both boards.
• 😀 The key to solving mathematics literacy problems is to regularly practice and familiarize oneself with common concepts, often based on basic school-level mathematics.
• 😀 The speaker emphasizes that mathematics problems, even though they may seem complicated, can be manageable if tackled methodically.
• 😀 The second problem involves calculating the radius of a front bicycle wheel based on the given ratio of front to back wheel radius, which is 2:3.
• 😀 The speaker uses a simple mathematical method (cross-multiplication) to solve the ratio problem efficiently.
• 😀 A discussion follows about how to calculate the number of rotations the front wheel of a bicycle makes to cover a certain distance, with the distance converted to centimeters.
• 😀 The speaker introduces the formula for calculating the circumference of a circle (2 * Pi * radius) to calculate the number of rotations needed to cover a specified distance.
• 😀 The speaker provides practical problem-solving tips, such as simplifying calculations and using proportional reasoning to quickly estimate results.
• 😀 Testimonials from previous students are shared, reinforcing the effectiveness of the learning approach and encouraging new students to join online classes for better preparation.
• 😀 The video concludes with a reminder to stay motivated, keep practicing, and stay focused on achieving excellent results in the upcoming UTBK exam.

Q & A

What is the main purpose of the video transcript?

The video transcript focuses on helping students prepare for the UTBK (Indonesian University Entrance Test) by discussing mathematical reasoning problems and providing step-by-step solutions.

How does the speaker explain the difficulty level of the UTBK questions?

The speaker acknowledges that UTBK questions can be difficult, especially in mathematical reasoning, but reassures students that with practice and understanding, the questions can be tackled effectively.

What is the key concept used in the first problem regarding the inclined plane on the truck?

The key concept used in the first problem is the Pythagorean theorem, which helps determine the length of the inclined plane based on the given dimensions of the triangle formed by the truck, the ground, and the board.

What is the area of the two inclined boards on the truck?

The total area of the two inclined boards is calculated by finding the area of one board (1.5 m²) and then doubling it to get the total area of both boards, resulting in 3 m².

What mathematical technique does the speaker use to solve the second problem about the ratio of the front and rear bicycle wheel radii?

The speaker uses the concept of proportionality, applying cross-multiplication to solve for the unknown radius of the front wheel based on the given ratio (2:3) and the known rear wheel radius.

How does the speaker calculate the number of rotations required by the front wheel of a bicycle to cover a distance of 4 kilometers?

The speaker calculates the number of rotations by first determining the circumference of the front wheel using the formula 2 * Pi * radius, and then dividing the total distance (converted to meters) by the circumference to get the number of rotations.

What is the method used to determine the number of rotations of the front wheel when given the number of rotations of the rear wheel?

The speaker uses the relationship between the radii of the front and rear wheels and the number of rotations. The formula involves setting up a proportional equation to calculate the front wheel's rotations based on the rear wheel's rotations.

What is the importance of practicing these types of mathematical reasoning problems for the UTBK?

Practicing these types of problems is crucial for gaining confidence and improving problem-solving skills, which ultimately helps students perform better on the UTBK and other related exams.

How does the speaker encourage students to prepare for the UTBK beyond the video content?

The speaker encourages students to regularly practice solving similar problems, follow the educational channel for more lessons, and participate in online classes to improve their knowledge and exam readiness.

What motivational advice does the speaker offer at the end of the video?

The speaker motivates students by expressing confidence that with continued practice, they can achieve excellent results in the UTBK and that the support and resources available, like the educational materials and classes, will help them succeed.