According to Mr. Do Van Bao, a teacher at the 247 admission system, the illustrative math test for grade 10 high school entrance in 2025 in Hanoi has 3 parts: Algebra, geometry and probability statistics.
The algebra section includes basic calculations with expressions, quadratic equations and applications. The new point of the illustration test is that there are many questions that exploit real-life problems, helping students approach problems in life through mathematics.
Math matrix for grade 10 Hanoi in 2025
The geometry section includes familiar topics such as plane geometry, problems involving circles and inscribed quadrilaterals, spatial geometry, geometric proofs, and applications of geometry in practice. The exam requires students to have good spatial thinking and the ability to apply geometric theory to practical problems.
The statistics and probability section is new content compared to previous year's exams, appearing in lesson I, requiring students to analyze graphs and calculate probability, which are practical content that often appear in new textbook programs.
According to Mr. Bao, the exam retains 60-70% of the traditional structure but has been innovated in content and question-making methods, helping to evaluate students more comprehensively. The difficulty of the exam is moderate, with clear differentiation to select good and excellent students.
Illustrative exam of 10th grade math in 2025 in Hanoi
In particular, the sample test has added practical elements, requiring students not only to have knowledge but also to understand how to apply that knowledge to specific situations.
Commenting on the 2025 Hanoi 10th grade math illustration test, teacher Nguyen Manh Cuong, a math teacher at Hoc Mai Education System, said that the structure is quite similar to the previous years' test according to the 2006 general education program.
Accordingly, the exam still includes 5 big problems, each problem includes many small ideas arranged in order from easy to difficult, the exam time is 120 minutes.
Illustrative exam questions for grade 10 math in 2025 in Hanoi
The test content has a reasonable enhancement of some factors related to practical applications to gradually approach the orientation of capacity assessment in accordance with the goals and requirements for developing learners' capacity and qualities according to the new program.
Some knowledge and types of questions in the sample test have quite a lot of similarities with the entrance exams of previous years but have been reduced in difficulty to suit the new general education program.
Increasing questions related to practical applications to test students' reading comprehension and mathematical modeling abilities; thereby classifying candidates.
Specifically, in lesson 1, it belongs to the knowledge of statistics and probability. This is a new knowledge in the program. The knowledge tested in this lesson closely follows the requirements of the program, does not cause difficulties and puzzles for students.
Lesson 2 , belongs to the knowledge of numbers and algebra. This is an easy question to "score", a type of question that often appears in the exam of the Hanoi Department of Education and Training from the past until now.
Illustrative exam questions for grade 10 math in 2025 in Hanoi
Part 3 , which is related to numbers and algebra, includes 3 questions, 2 of which are related to practice, requiring candidates to be able to analyze the problem, choose keywords and key facts to solve the problem. In addition, the third question is not difficult, testing knowledge about the solution of a quadratic equation.
Lesson 4, in the geometry and measurement knowledge stream, tests knowledge of plane geometry and solids in practice. Question 2 (lesson IV) is still a difficult question to classify candidates. The types of questions on solids in practice are expanded and go deeper than previous exams according to the old program.
Lesson 5 , belongs to the stream of knowledge of numbers and algebra. This is an interdisciplinary problem, not only testing the practical application of knowledge about inequalities and equations but also testing knowledge about spatial geometry. To solve this problem, students need to have a solid grasp of knowledge, good reading comprehension and thinking skills, and flexibility in transforming and solving problems.
"In general, the sample exam structure for the 2025-2026 school year of the Hanoi Department of Education and Training correctly reflects the requirements for assessing learners' abilities according to the orientation of the new general education program, with a reduction in calculation requirements and an increase in practical elements.
Based on the structure, content and scope of knowledge of the exam, students need to build for themselves a scientific study and review strategy to have the best preparation for the 10th grade entrance exam," said Mr. Cuong.
Source: https://dantri.com.vn/giao-duc/nhung-diem-moi-cua-de-toan-lop-10-ha-noi-nam-2025-20240901165607819.htm
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