Familiar, lacking innovation, few candidates achieved scores of 9-10.

According to Mr. Hong Tri Quang, a mathematics teacher at the HOCMAI Education System, this year's 10th grade entrance exam in mathematics in Hanoi maintained a stable structure compared to recent years. In addition, the exam still showed differentiation to ensure it met the requirements and nature of an entrance exam.

Regarding the scope of knowledge and difficulty, Mr. Quang stated that the exam structure still includes 5 major problems, each with several smaller parts arranged in order from easy to difficult. This familiar exam structure has not seen any breakthroughs in recent years. On the other hand, this year's Hanoi Grade 10 Math exam has slightly increased in difficulty compared to 2022, with good differentiation among candidates.

"It is expected that the average score of the candidates will fall between 6 and 7 points, with few perfect scores of 10," teacher Quang predicted.

Hanoi Grade 10 Math Exam: Familiar, Lacking Innovation, Few Candidates Achieve Scores of 9-10 - 1 — Candidates taking the entrance exam for 10th grade in Hanoi (Illustrative image)

According to Mr. Do Van Bao, a math teacher at Vinschool Inter-level High School, the exam met the requirements for evaluating students and had a differentiating factor. The level of testing basic knowledge and skills was high, but not overly challenging. Candidates only needed time to review, practice solving basic math problems well, and answer carefully to complete 75% to 80% of the exam quickly.

Furthermore, some questions differentiate students but are not too difficult; students can still think critically to find a solution.

Teacher Bao also provided a detailed analysis of each question. Question 1, which covers basic knowledge about calculating values and simplifying expressions with known results, is quite simple, allowing students to be meticulous and easily score points.

Students only need to do the exercise carefully and present all the necessary information in the first part. The second part requires simplifying an expression with a given result, so it's unlikely students will make a mistake. The third part is also a familiar question, so many students will likely get maximum points on this part. However, students need to pay attention to the conditions to avoid losing points unfairly.

In question 2, part 1, which involves solving problems using equations or systems of equations related to work productivity, students can easily analyze the problem, set up a system of equations or systems of equations, and solve it, thus achieving maximum points for this question. This type of question is frequently included in quality assessment tests and mock exams from some schools, providing students with good opportunities for practice.

Question 2 involves a simple real-world problem related to spheres. Students only need to remember the formula for calculating the volume of a sphere and carefully substitute the numbers to get points.

Question 3 - this is a fairly simple question that's easy to score points on. In part 1, students often solve it using the substitution method. Students also need to pay attention to presentation, considering the conditions of the variables, and concluding the final solution to get maximum points. Students of average to above-average ability can do well on this question.

Part 2 relates to the familiar knowledge of the intersection between a parabola and a straight line. Students of average or above average level can score well on part a of this question, while above-average students can do well on part b. However, to achieve the maximum score, attention should be paid to finding the conditions, presenting the solution carefully, and using sound reasoning.

Lesson 4 - a rather good geometry exercise, effectively differentiating students in its final part. The geometry problem doesn't start with the familiar given circle or semicircle, but instead provides many clues to help solve questions 1 and 2. Students who carefully read the problem requirements and meticulously draw the figure can solve question 1, as this part is a familiar piece of basic knowledge covered during revision and appears frequently in mock exams and tests from various schools.

Part 2 requires more critical thinking from students; it's not as simple as Part 1. Students must reason to prove that the angles are equal based on parallel relationships and inscribed quadrilaterals.

Point 3 clearly categorizes students into fairly good groups; above-average students will need to think quite a bit to complete this part. Students need good skills in proving triangle similarity, inscribed quadrilaterals, and good visual perception.

Lesson 5 - the question about extrema is quite good but not too difficult. The expression is in a symmetrical form, so it's easy to find the key to the problem. Students need to use appropriate transformations, combined with the use of the inequality of adding the denominators, to deduce the required proof.

Overall, Mr. Bao predicts that this year's scores will likely have many 7s and 8s, but few 10s. The highest percentage of scores will be in the range of 6.5 to 8.

Ha Cuong

Beneficial
Emotion
Creative
Unique

Source