What are the 2nd mid-semester question papers and answers for 8th-grade Mathematics in 2025? What are practical and experiential activities in the 8th-grade Mathematics curriculum in Vietnam?

What are the 2nd mid-semester question papers for 8th-grade Mathematics in 2025?

Below are 2nd mid-semester question papers for 8th-grade Mathematics in 2025:

Department of Education and Training...

2nd mid-semester question papers for 8th-grade Mathematics

Time: minutes

(Question Paper No. 1)

PART I. MULTIPLE CHOICE (2.0 points)

Question 1. Which of the following data should be collected indirectly?

A. The population of Vietnam from 2000 to 2023.

B. Phone numbers of students in Group 1 of Class 8A.

C. Time spent on self-study last Saturday by students of Class 8A.

D. Height of green bean plants 5 days after sowing.

Question 2. The evaluation results of customer satisfaction regarding the quality of service at a hotel: Satisfied, Very satisfied, Neutral, Unsatisfied. What type of data is this?

A. Non-numeric data, sortable.

B. Non-numeric data, unsortable.

C. Discrete data.

D. Continuous data.

Question 3. Observe the following chart:

(Source: National Center for Hydro-Meteorological Forecasting)

On which day is the temperature difference between the highest and lowest in Ho Chi Minh City 9°C?

A. Thursday.

B. Saturday.

C. Sunday.

D. Monday.

Question 4. A bag contains 16 red balls, 12 blue balls, 3 yellow balls, and 2 purple balls. A ball is randomly drawn from the bag. Knowing the size, shape, and material of the balls are the same, the probability of drawing a blue ball is:

Question 5. The midline of a triangle is a line segment that goes through

A. the midpoint of one side of the triangle.

B. the midpoints of two sides of the triangle.

C. two vertices of the triangle.

D. one vertex and the midpoint of the opposite side of the triangle.

Question 6. Given triangle MNP with H ∈ MN; K ∈ MP. The condition that does not conclude HK // NP is:

Question 7. Triangle ABC has BM as the angle bisector of Which of the following statements is false?

Question 8. Given the diagram, knowing DE = 13 cm, the length of HE is

A. 5.5 cm.

B. 6.5 cm.

C. 7 cm.

D. 8 cm

PART II. ESSAY (8.0 points)

Exercise 1. (3.0 points) A pie chart represents statistical results (as a percentage) of coffee markets supplying Spain in the first 7 months of 2022.

a) In the first 7 months of 2022, which market provided the most coffee to Spain? The least?

b) Knowing that the total amount of coffee supplied to Spain by all markets in the first 7 months of 2022 is 222,956 tons.

i) Create a statistical table of the amount of coffee supplied to Spain by the markets in the first 7 months of 2022 according to the following model:

ii) Draw an appropriate chart to represent the data for the above statistical table.

c) How many times more coffee did the Vietnamese market supply to Spain compared to the German market (round the result to the first decimal)?

d) An article stated: “The markets of Indonesia and Belgium are the two smallest coffee suppliers to Spain in the first 7 months of 2022; Vietnam supplied 24.6% more coffee to Spain than the Indonesian market.” Do you think the article's information is accurate?

Exercise 2. (1.5 points) A bag containing colored pencils belonging to little Mai has 5 yellow pencils, 3 orange pencils, 4 blue pencils, and 2 purple pencils (with the same mass and size). Little Mai randomly picks a pencil from the bag. Calculate the probability of the following events:

a) A: “Picking a purple pencil”;

b) B: “Picking an orange or blue pencil”;

c) C: “Not picking a yellow pencil”.

Exercise 3. (3.5 points)

1) Given triangle ABC with BC = 15 cm, CA = 18 cm, and AB = 12 cm. Let I and G be the incenter and centroid of ΔABC, respectively.

a) Calculate the lengths of line segments CD and BD.

b) Prove that IG // BC.

c) Calculate the length of line segment IG.

2) Roof trusses are one of the indispensable components in the structure of corrugated iron roofs. They help support and reduce the impact of external factors (Figure a).

A roof truss is redrawn as in Figure b. Calculate the length x of the side support beam and the length y of the truss wing.

ANSWERS

Multiple Choice Answer Table:

PART II. ESSAY (8.0 points)

Exercise 1. (3.0 points) Solution Guide

a) In the first 7 months of 2022, Vietnam provided the most coffee to Spain (30.1%) and Indonesia provided the least (5.5%).

b) i) The amount of coffee supplied by the German market to Spain in the first 7 months of 2022 is: 222,956 × 12.6% = 28,092.456 (tons).

Similarly, we complete the statistical table as follows:

ii) We can draw a column or line chart to represent the data from the statistical table above as follows:

c) The amount of coffee that the Vietnamese market supplied to Spain is

67,109.756 : 28,092.456 ≈ 2.4 times that of the German market.

d) The markets of Indonesia (5.5%) and Belgium (6.6%) are the two smallest coffee suppliers to Spain in the first 7 months of 2022.

Vietnam supplied 24.6% more coffee to Spain than the Indonesian market: 30.1% - 5.5% = 24.6%.

Therefore, the article's information is accurate.

Exercise 2. (1.5 points)

There are 5 + 3 + 4 + 2 = 14 possible outcomes, and the results are equally likely.

Exercise 3. (3.5 points)

2)

Note: Information is for reference only!

What are the 2nd mid-semester question papers for 8th-grade Mathematics in 2025? (Images from the Internet)

What are practical and experiential activities in the 8th-grade Mathematics curriculum in Vietnam?

Under the General education program in Mathematics issued with Circular 32/2018/TT-BGDDT, the 8th-grade Mathematics curriculums have the following practice and experiential activities:

The school organizes some of the following activities for students and might include other activities depending on specific conditions.

Activity 1: Learn some financial knowledge such as:

- Creating a personal spending plan.

- Becoming familiar with personal investment problems (determining investment capital to achieve desired interest rate).

- Understanding bank statements (actual statements or examples) to identify transactions and track income and expenses; choosing suitable payment methods.

Activity 2: Practicing the application of mathematical knowledge in real life and interdisciplinary topics, for instance:

- Applying Algebra knowledge to explain some rules in Chemistry, Biology. Example: Using first-degree equations in problems to determine percentage concentrations.

Activity 3: Organizing extracurricular activities such as outdoor practice, study projects, math games, math contests, for instance:

- Searching for or practicing creating video segments on the application of pyramids, perspective similarity in nature.

- Applying knowledge about similar triangles and the Pythagorean theorem in practice (e.g., measuring the distance between two positions with an obstruction or accessible by one of the two).

- Practicing calculating the area, volume of certain shapes and solids in reality.

Activity 4 (if the school is capable): Organizing exchanges with students who are capable and passionate about Math within the school and with other schools.

What is the core content of the 8th-grade Mathematics curriculum in Vietnam?

Under subsection 1 of Section 5 of the General education program in Mathematics issued with Circular 32/2018/TT-BGDDT, the 8th-grade Mathematics curriculum in Vietnam outlines the core content as follows:

- The content of Mathematics revolves around three strands: Numbers, Algebra and Some Analytic Elements; Geometry and Measurement; Statistics and Probability.

- Numbers, Algebra and Some Analytic Elements form the basis for deeper studies in mathematics, to create mathematical tools to solve problems in mathematics and related sciences; developing deductive reasoning, logical thinking, mathematical creativity, and algorithm skills in students.

Functions are also a crucial tool for constructing mathematical models of processes and phenomena in the real world.

- Geometry and Measurement are essential elements of mathematics education, crucial for students in acquiring spatial knowledge and developing essential practical skills.

Geometry and Measurement create tools to describe objects in the surrounding world, provide students with basic mathematical knowledge and skills in Geometry, and enable them to perform mathematical proofs, contributing to developing logical thinking, creativity, spatial imagination, and intuition. Moreover,

Geometry contributes to aesthetic education and enhancing students' math culture. The integration of Measurement with Geometry increases the intuitiveness and practicality of teaching Mathematics.

- Statistics and Probability are compulsory parts of school mathematics education, enhancing the applicability and practical value of mathematics education. Statistics and Probability equip students with the ability to perceive and analyze information presented in various forms, understand the probabilistic nature of many dependencies in reality, and comprehend the vital role of statistics in providing socially significant information, applying statistical thinking to data analysis. Thus, improving students’ understanding and methodology for researching the modern world.

- Additionally, the Mathematics curriculum at each level allocates appropriate time for students to engage in practical and experiential activities such as: Conducting research projects on Mathematics, especially projects on the application of Mathematics in practice; participating in math games, mathematical clubs, forums, workshops, and competitions; creating math journals; visiting mathematics training and research establishments, interacting with students with a talent and passion for Mathematics, etc.

These activities help students apply the knowledge, skills, attitudes accumulated from math education and personal experience in real life creatively; develop organizational and management skills, self-awareness, and self-activation; assist students in identifying their abilities, strengths for career direction, and creating basic competencies for future workers and responsible citizens.