LEAKED QUANTITATIVE QUESTIONS UTBK SNBT 2025

Summary

This educational video focuses on solving UTBK (Ujian Tulis Berbasis Komputer) questions related to quantitative reasoning. The speaker walks viewers through a series of practice problems, offering solutions and time-saving strategies for tackling complex math problems, including ratios, proportions, geometric angles, and function compositions. The tutorial also promotes a bimbel (tutoring center) as a resource for UTBK preparation. With a focus on quick problem-solving techniques, the video encourages students to utilize efficient methods and gain confidence in their ability to excel in the UTBK exam.

Takeaways

• 😀 The tutor emphasizes the importance of mastering quantitative reasoning questions in preparation for the UTBK, claiming that these questions will appear in the exam this year.
• 😀 There is an ongoing tutoring service called 'Bimbel Ever,' which specializes in preparing students for UTBK questions. However, spots are running out due to high demand.
• 😀 The script covers a math problem where the ratio of ingredients (flour, sugar, eggs, and chocolate) is used to calculate the weight of sugar based on the weight of chocolate.
• 😀 The method for solving the problem involves setting up ratios and proportions, simplifying fractions, and using basic algebraic manipulation.
• 😀 Another problem is discussed involving the number of students in various classes and the ratio of males to females attending an SMBT preparation class. The solution focuses on the use of ratios to calculate the difference between male and female students.
• 😀 The tutor introduces a quick method to solve ratio-based problems by focusing directly on the overall total and applying the absolute value of the ratio difference.
• 😀 A geometry problem about circle angles is tackled. The tutor explains how to calculate the sum of angles in a circle based on properties of central and inscribed angles.
• 😀 A shortcut for solving angle problems is provided, stating that an inscribed angle is half the measure of the central angle subtended by the same arc.
• 😀 A problem involving function compositions (g(x) and g∘g∘g) is also solved. The tutor explains a shortcut: if the number of compositions is even, the answer equals x; if odd, the answer equals g(x).
• 😀 The script finishes with a discussion of a limit problem involving real numbers A and B. The solution method involves substitution and differentiation to find the values of A and B, with the result being -35.
• 😀 The final problem illustrates how to solve recursive functions and find the value of f(x) for large inputs, ultimately revealing a pattern in the function values, where f(x) = 2^x + 3.

Q & A

What is the ratio of flour to sugar and eggs in the first problem?

The ratio of flour to sugar to eggs is 5:4:3.

How can you calculate the weight of flour if the weight of chocolate is 12 grams and it is 24% of the flour's weight?

To find the weight of flour, divide 12 grams by 24%, which equals 50 grams of flour.

In the first problem, how do you calculate the weight of sugar?

Given the ratio, the weight of sugar is 40 grams, which corresponds to the 4 in the ratio 5:4:3 when the flour weighs 50 grams.

How is the total number of students who participated in the SMBT classes calculated from the table of class sizes?

The total number of students participating in the SMBT classes is 200, obtained by adding the students from all five classes.

In the second problem, how do you calculate the difference between the number of male and female students participating in the SMBT?

The difference between the number of male and female students is calculated using the formula (3 - 7) / (3 + 7) * total students, which results in 80.

What is the relationship between central and peripheral angles in the third problem?

The peripheral angle is half of the central angle. If the central angle is 70 degrees, the peripheral angle will be 35 degrees.

How do you calculate the sum of angles A, B, C, and D in the third problem?

The sum of the angles is calculated as 35 (A) + 35 (B) + 35 (C) + 70 (D), which equals 175 degrees.

What is the shortcut for solving the function composition problem in question 4?

The shortcut is recognizing that when the number of compositions is even, the result is the same as the input value (x). For an even composition, the result is 2024.

In the fifth problem, how do you find the values of 'a' and 'b' from the given limit expression?

First, substitute x = 2 into the equation and simplify. Then differentiate the expression to get another equation. Solving these two equations gives 'a' = -7/2 and 'b' = 10.

How do you determine the formula for the function f(x) in the sixth problem?

The pattern observed is that f(x) follows a power of 2 formula: f(x) = 2^(x + 3). Using this pattern, f(22) equals 2^(22 + 3), or 2^25.