What are the 1st-semester question papers and answers for 8th-grade Mathematics? What are the educational objectives of 8th-grade Mathematics in Vietnam?

What are the 1st-semester question papers and answers for 8th-grade Mathematics in Vietnam?

Students can refer to the following 1st-semester question papers and answers for 8th-grade Mathematics in Vietnam:

Department of Education and Training ...

1st-semester question paper - Knowledge Connection

2024 - 2025 Academic Year

Subject: 8th-grade Mathematics

Duration: minutes

(Question paper No. 1)

SECTION I. MULTIPLE CHOICE (3.0 points)

Please write the uppercase letter in front of the only correct option for each of the following questions in your paper.

Question 1. How many terms are in the polynomial ?

A. 3.

B. 4.

C. 5.

D. 6.

Question 2. The quotient of division is

Question 3. The value of the expression at x = 8 and y = 8 is

A. 16.

B. -1.

C. -64.

D. 64.

Question 4. The result of expanding the calculation is

Question 5. For the expression to be the square of a difference, the value of a is

A. 10.

B. -10.

C. 5.

D. -5.

Question 6. Consider the following shapes:

Among the following shapes, which are squares?

A. Shape 1.

B. Shape 2.

C. Shape 2.

D. Shape 4.

Question 7. Which of the following statements is false?

A. A quadrilateral with opposite sides parallel is a parallelogram.

B. A quadrilateral with opposite sides equal is a parallelogram.

C. A quadrilateral with two opposite angles equal is a parallelogram.

D. A quadrilateral with two diagonals bisecting each other is a parallelogram.

Question 8. Given triangle ABC isosceles at A. Let D, E belong to sides AB, AC respectively so that DE // BC.

Choose the most correct answer. What is the quadrilateral BDEC?

A. Isosceles trapezium.

B. Right trapezium.

C. Triangle.

D. All A, B, C are incorrect.

Question 9. Given triangle ABC with BM as the bisector of then

Question 10. Given the diagram. The value of x is:

A. 5.5.

B. 10.

C. 3.

D. 1.75.

Question 11. The favorite foods of class 8A students recorded in the following table:

The quantitative data in the table is

A. Favorite foods: Bread, Chicken feet, Grilled maize, Sausage.

B. Number of students: 8; 11; 7; 9.

C. Bread, Chicken feet, Grilled maize, Sausage, 8, 11, 7, 9.

D. All A, B, C are correct.

Question 12. The composition of a type of steel is shown in the chart below:

The mass of iron in a 1 kg steel bar is

A. 953 g.

B. 26 g.

C. 21 g.

D. 95.3 g.

SECTION II. SCRIPT (7.0 points)

Exercise 1. (1.0 point) Calculate and simplify the following expressions:

Exercise 2. (1.5 points) Factorize the polynomial:

Exercise 3. (1.0 point) The column chart shows the sweet potato yield in Phu Tho over the years 2015; 2018; 2019; 2020 (unit: thousand tons):

(Source: Statistical Yearbook 2021)

a) What type of chart is the above chart? To obtain the data presented in the above chart, do we use direct or indirect collection methods?

b) Did the sweet potato yield in Phu Tho in 2019 increase or decrease by how much percent compared to 2015 (round the result to the nearest tenth)? What can you comment on the sweet potato yield in Phu Tho over the years 2015; 2018; 2019; 2020?

Exercise 4. (1.0 point) With the data recorded in the following figure. Calculate the distance CD from the ship to the observation station located at point C

Exercise 5. (2.0 points) Given an acute triangle ΔABC with AB < AC. Let N be the midpoint of AC. Take point D on ray BN so that BN = ND.

a) Prove that N is the midpoint of PQ.

b) What additional condition is needed for triangle ABC for quadrilateral ABCD to be a square?

ANSWERS

SECTION I. MULTIPLE CHOICE (3.0 points)

SECTION II. SCRIPT (7.0 points)

Exercise 3. (1.0 point):

a) The given chart is a column chart.

To obtain the data presented in the above chart, we use indirect collection by accessing the website of the Statistical Yearbook 2021.

b) The sweet potato yield in Phu Tho in 2019 is less than in 2015 (since 10.2 < 14.5).

Thus, the sweet potato yield in Phu Tho in 2019 decreased compared to 2015.

The percentage rate of sweet potato yield in Phu Tho in 2019 compared to 2015 is:

Therefore, in 2019, the sweet potato yield in Phu Tho increased by approximately 100% - 70.3% = 29.7% compared to 2015.

Comment: Based on the data shown on the chart, the sweet potato yield in Phu Tho has decreased over the years 2015; 2018; 2019; 2020.

Exercise 4. (1.0 point):

Exercise 5. (2.0 points):

Exercise 6. (0.5 points):

Note: Information is for reference purposes only!

What are the 1st-semester question papers and answers for 8th-grade Mathematics in Vietnam? (Image from the Internet)

What are the educational objectives of 8th-grade Mathematics in Vietnam?

Under Section 4 of the General Education Program for Mathematics issued with Circular 32/2018/TT-BGDDT, the educational objectives of Mathematics at the lower secondary level are as follows:

- Contribute to the formation and development of mathematical competence with the following requirements:

+ State and answer questions when reasoning, solve problems, and perform reasonable arguments when solving problems, demonstrate mathematical propositions that are not too complex;

+ Use mathematical models (mathematical formulas, algebraic equations, diagrams,...) to describe situations appearing in some practical problems that are not too complex;

+ Use mathematical language combined with common language to express mathematical content as well as show evidence, methods, and results of reasoning;

+ Present ideas and methods of using tools, and means for studying mathematics to achieve a learning task or to express mathematical reasoning and proofs.

- Have basic mathematics knowledge and skills on:

+ Number and Algebra: Number system (from natural numbers to real numbers); calculations and use of calculation tools; algebraic language and symbols; transformation of algebraic expressions, equations, systems of equations, inequations; the use of function language to describe (model) some processes and phenomena in practice.

+ Geometry and Measurement: The content of Geometry and Measurement at this level includes Visual Geometry and Plane Geometry. Visual Geometry continues to provide language, symbols, and descriptions (at the intuitive level) of objects of practice (plane figures, solids); establishe some common geometric models;

++ Calculate some geometric elements; develop spatial imagination; solve some simple real-world problems related to Geometry and Measurement.

++ Plane Geometry provides knowledge and skills (at the level of logical reasoning) about geometric relations and some common plane figures (point, line, ray, segment, angle, two parallel lines, triangle, quadrilateral, circle).

+ Statistics and Probability: Collecting, classifying, representing, analyzing, and processing statistical data; analyzing statistical data through frequency, and relative frequency; recognizing some simple statistical laws in practice; using statistics to understand basic concepts about the empirical probability of an event and the probability of an event; recognizing the meaning of probability in practice.

- Contribute to assisting students to have an initial understanding of careers related to mathematics; have career guidance based on their capabilities and interests, conditions, and circumstances; guidance on post-secondary school pathways (continuing education, vocational training, or entering labor life).

What are the duties of 8th-grade students in Vietnam?

Under Article 34 of the lower secondary school, upper secondary school and multi-level school charter issued with Circular 32/2020/TT-BGDDT, the duties of 8th-grade students are as follows:

- Learn and train according to curricula and education plans of their schools.

- Respect their parents, officials, teachers and staff of their schools, and those older than them; maintain solidarity and mutual support in learning and training; conform to the charter and rules of their schools; and abide by the law.

- Take exercises and maintain personal hygiene.

- Participate in group activities of their schools and classes, Ho Chi Minh Young Pioneer Organization and Ho Chi Minh Communist Youth Union; help their families, join physical and social activities and environmental protection activities, and maintain traffic order and safety.

- Protect school and public property; contribute to fostering, preservation and enhancement of school traditions.