What are vtv2 trực tiếp bóng đá hôm nay 2nd mid-semester question papers and answers for 7th-grade Mathematics in 2025? What are vtv2 trực tiếp bóng đá hôm nay characteristics of 7th-grade Mathematics in Vietnam?

What are vtv2 trực tiếp bóng đá hôm nay 2nd mid-semester question papers and answers for 7th-grade Mathematics in 2025?

2nd mid-semester question papers and answers for 7th-grade Mathematics

Question paper No. 1:

Question 1. Replace vtv2 trực tiếp bóng đá hôm nay ratio 1.25 : 3.45 with a ratio between integers to get

A. 12.5 : 34.5;

B. 29 : 65;

C. 25 : 69;

D. 1 : 3.

Question 2. Given 7x = 4y and y – x = 24. Then, vtv2 trực tiếp bóng đá hôm nay values of x, y are

A. x = −56, y = −32;

B. x = 32, y = 56;

C. x = 56, y = 32;

D. x = 56, y = −32.

Question 3. Knowing that y is directly proportional to x with a ratio coefficient k = 2. When x = –3, what is vtv2 trực tiếp bóng đá hôm nay value of y?

A. –6;

B. 0;

C. –9;

D. –1.

Question 4. Given that x and y are inversely proportional quantities and when x = –12 then y = 8. When x = 3, y is:

A. –32;

B. 32;

C. –2;

D. 2.

Question 5. vtv2 trực tiếp bóng đá hôm nay algebraic expression for “vtv2 trực tiếp bóng đá hôm nay square of vtv2 trực tiếp bóng đá hôm nay sum of two numbers x and y” is

A. x^2 − y^2;

B. x + y;

C. x^2 + y^2;

D. (x + y)^2.

Question 6. vtv2 trực tiếp bóng đá hôm nay constant term of vtv2 trực tiếp bóng đá hôm nay polynomial M = 8x^2 – 4x + 3 – x^5 is

A. 1;

B. 4;

C. 3;

D. 5.

Question 7. Given two polynomials P(x) = 6x^3 − 3x^2 − 2x + 4 and G(x) = 5x^2 − 7x + 9. vtv2 trực tiếp bóng đá hôm nay value of P(x) − G(x) is

A. x^2 − 9x + 13;

B. 6x^3 − 8x^2 + 5x − 5;

C. x^3 − 8x^2 + 5x − 5;

D. 5x^3 − 8x^2 + 5x + 13.

Question 8. vtv2 trực tiếp bóng đá hôm nay result of vtv2 trực tiếp bóng đá hôm nay multiplication (5x − 2)(2x + 1) is which polynomial among vtv2 trực tiếp bóng đá hôm nay following?

A. 10x^2 − 3x − 2;

B. 10x^2 − x + 4;

C. 10x^2 + x − 2;

D. 10x^2 − x − 2.

Question 9. In triangle MNP with: ˆN=65°; ˆP=55°. Which of vtv2 trực tiếp bóng đá hôm nay following statements is true?

A. MP < MN;

B. MP = MN;

C. MP MN;

D. Insufficient data to compare.

Question 10. In triangle MNP with: MN < MP, MD ⊥ NP. Which of vtv2 trực tiếp bóng đá hôm nay following statements is true?

A. DN = DP;

B. MD < MP;

C. MD MN;

D. MN = MP.

Question 11. Which set of line segment lengths below cannot form a triangle?

A. 15cm; 25cm; 10cm;

B. 5cm; 4cm; 6cm;

C. 15cm; 18cm; 20cm;

D. 11cm; 9cm; 7cm.

Question 12. Given that G is vtv2 trực tiếp bóng đá hôm nay centroid of triangle MNP with median MK. Which of vtv2 trực tiếp bóng đá hôm nay following statements is true?

A. GM/MK=1/3;

B. GK/MK=1/3;

C. MG/GK=3;

D. GK/MG=2/3.

II. ESSAY SECTION (7.0 points)

Problem 1. (1.5 points) Find vtv2 trực tiếp bóng đá hôm nay rational number x in vtv2 trực tiếp bóng đá hôm nay following proportions:

a) 56/56: x = 20 : 3;

b) 9x−19=53;

c) x+11*(4−x)=23.

Problem 2. (1.0 point) A car departs from A at 8 o'clock. At 9 o'clock, another car departs from A. vtv2 trực tiếp bóng đá hôm nay first car arrives at B at 2 PM. vtv2 trực tiếp bóng đá hôm nay second car arrives at B half an hour earlier than vtv2 trực tiếp bóng đá hôm nay first car. Calculate vtv2 trực tiếp bóng đá hôm nay speed of each car, knowing that vtv2 trực tiếp bóng đá hôm nay speed of vtv2 trực tiếp bóng đá hôm nay second car is 20 km/h faster than vtv2 trực tiếp bóng đá hôm nay speed of vtv2 trực tiếp bóng đá hôm nay first car.

Problem 3.(2.0 points)Given two polynomials: P(x) = x^3 – 2x^2 + x – 2;

Q(x) = 2x^3 – 4x^2 + 3x – 6.

a) Calculate P(x) – Q(x).

b) Prove that x = 2 is a solution of both polynomials P(x) and Q(x).

Problem 4. (2.0 points) Given triangle ABC with D being vtv2 trực tiếp bóng đá hôm nay midpoint of AC. On segment BD, take point E so that BE = 2ED. Point F lies on vtv2 trực tiếp bóng đá hôm nay opposite ray of DE so that BF = 2BE. Let K be vtv2 trực tiếp bóng đá hôm nay midpoint of CF and G be vtv2 trực tiếp bóng đá hôm nay intersection of EK and AC.

a) Prove that G is vtv2 trực tiếp bóng đá hôm nay centroid of triangle EFC.

b) Calculate vtv2 trực tiếp bóng đá hôm nay ratios GE/GK;GC/DC.

Problem 5. (0.5 points) Given vtv2 trực tiếp bóng đá hôm nay proportion a/b=c/da/cd. Prove that a−2b/b=c−2d/d.

Question paper No. 2:

Question 1. Statistical data as a number is also called a

A. figure;

B. data;

C. number;

D. Both A, B, and C are incorrect.

Question 2. Given vtv2 trực tiếp bóng đá hôm nay chart below

vtv2 trực tiếp bóng đá hôm nay statistical subject is

A. Number of medals;

B. Number of gold medals;

C. Provinces: Thanh Hoa, Nghe An, Ha Tinh, Thua Thien Hue, Quang Binh;

D. Both A, B, and C are incorrect.

Question 3. Given vtv2 trực tiếp bóng đá hôm nay segment line chart as shown.

vtv2 trực tiếp bóng đá hôm nay chart above has 6 points, and each point is determined by

A. Statistical year;

B. Statistical year and average air temperature in Hanoi that year;

C. Average air temperature in Hanoi;

D. Both A, B, and C are incorrect.

Question 4. Given vtv2 trực tiếp bóng đá hôm nay following chart.

In vtv2 trực tiếp bóng đá hôm nay above chart, vtv2 trực tiếp bóng đá hôm nay factor affecting 23% of children's height development is

A. Exercise;

B. Sleep and environment;

C. Nutrition;

D. Genetics.

Question 5. vtv2 trực tiếp bóng đá hôm nay probability of an event in a dice game is

A. vtv2 trực tiếp bóng đá hôm nay product of vtv2 trực tiếp bóng đá hôm nay number of favorable outcomes for vtv2 trực tiếp bóng đá hôm nay event and vtv2 trực tiếp bóng đá hôm nay number of possible outcomes for vtv2 trực tiếp bóng đá hôm nay face appearing on vtv2 trực tiếp bóng đá hôm nay dice;

B. vtv2 trực tiếp bóng đá hôm nay ratio of vtv2 trực tiếp bóng đá hôm nay number of possible outcomes for vtv2 trực tiếp bóng đá hôm nay face appearing on vtv2 trực tiếp bóng đá hôm nay dice to vtv2 trực tiếp bóng đá hôm nay number of favorable outcomes for vtv2 trực tiếp bóng đá hôm nay event;

C. vtv2 trực tiếp bóng đá hôm nay difference in vtv2 trực tiếp bóng đá hôm nay number of possible outcomes for vtv2 trực tiếp bóng đá hôm nay face appearing on vtv2 trực tiếp bóng đá hôm nay dice and vtv2 trực tiếp bóng đá hôm nay number of favorable outcomes for vtv2 trực tiếp bóng đá hôm nay event;

D. vtv2 trực tiếp bóng đá hôm nay ratio of vtv2 trực tiếp bóng đá hôm nay number of favorable outcomes for vtv2 trực tiếp bóng đá hôm nay event to vtv2 trực tiếp bóng đá hôm nay number of possible outcomes for vtv2 trực tiếp bóng đá hôm nay face appearing on vtv2 trực tiếp bóng đá hôm nay dice.

Question 6. vtv2 trực tiếp bóng đá hôm nay quarterfinals of vtv2 trực tiếp bóng đá hôm nay swimming competition involve six schools with 8 participating representatives:

Nguyen Hue Secondary School: Kiet;

Nguyen Khuyen Secondary School: Long;

Chu Van An Secondary School: Nguyen and Dang;

Nguyen Binh Khiem Secondary School: Minh;

Luu Van Liet Secondary School: Thanh;

Nguyen Du Secondary School: Kha and Binh.

Consider vtv2 trực tiếp bóng đá hôm nay event “vtv2 trực tiếp bóng đá hôm nay winner is a student from Nguyen Hue Secondary School or Nguyen Du Secondary School.” Calculate vtv2 trực tiếp bóng đá hôm nay probability of this event.

A. 1/14;

B. 3/38;

C. 1/13;

D. 1/16.

Question 7. Given vtv2 trực tiếp bóng đá hôm nay triangles below (diagram).

vtv2 trực tiếp bóng đá hôm nay obtuse triangle is

A. Triangle GHK;

B. Triangle DEF;

C. Triangle ABC;

D. Both A and C.

Question 8. Given triangle MNP with ˆM=80° and ˆN=50°. Compare vtv2 trực tiếp bóng đá hôm nay lengths of NP and MP:

A. NP MP;

B. NP = MP;

C. NP < MP;

D. Insufficient condition to compare.

Question 9. Given ∆ABC = ∆MNP. Among vtv2 trực tiếp bóng đá hôm nay following statements, which is incorrect?

A. ˆB=ˆN;

B. BC = MP;

C. ˆP=ˆC;

D. AB = MN.

Question 10. Given triangle ABC and triangle MNP with AB = MP, AC = NM, BC = NP. Which statement below is correct?

A. ∆ABC = ∆MNP;

B.∆ABC = ∆NMP;

C.∆ABC = ∆PMN;

D.∆ABC = ∆MPN.

Question 11. vtv2 trực tiếp bóng đá hôm nay correct statement is

A. If two sides and vtv2 trực tiếp bóng đá hôm nay included angle of one triangle are equal to two sides and vtv2 trực tiếp bóng đá hôm nay included angle of another triangle, then vtv2 trực tiếp bóng đá hôm nay two triangles are congruent;

B. If two sides and one angle of one triangle equal two sides and one angle of another triangle, then vtv2 trực tiếp bóng đá hôm nay triangles are congruent;

C. If two sides of one triangle are equal to two sides of another triangle, then vtv2 trực tiếp bóng đá hôm nay triangles are congruent;

D. If one angle of one triangle is equal to one angle of another triangle, then vtv2 trực tiếp bóng đá hôm nay triangles are congruent.

Question 12. Given vtv2 trực tiếp bóng đá hôm nay figure below, where AB // CD, AB = CD.

vtv2 trực tiếp bóng đá hôm nay correct statement is

A. OA = OD;

B. ˆBAO=ˆCDO;

C. O is vtv2 trực tiếp bóng đá hôm nay midpoint of AC;

D. ∆AOB = ∆DOC.

II. ESSAY SECTION (7.0 points)

Problem 1. (2.0 points) vtv2 trực tiếp bóng đá hôm nay results of vtv2 trực tiếp bóng đá hôm nay inquiry about vtv2 trực tiếp bóng đá hôm nay academic classification of 7th graders are given by vtv2 trực tiếp bóng đá hôm nay statistical table below:

a) Classify vtv2 trực tiếp bóng đá hôm nay data in vtv2 trực tiếp bóng đá hôm nay statistical table above based on qualitative and quantitative criteria.

Qualitative data: Type of academic classification (Excellent, Good, Average, Weak).

Quantitative data: Number of students (120, 285, 150, 25).

b) Does vtv2 trực tiếp bóng đá hôm nay above data represent vtv2 trực tiếp bóng đá hôm nay academic performance of 7th grade students? Why?

vtv2 trực tiếp bóng đá hôm nay data can represent vtv2 trực tiếp bóng đá hôm nay academic performance of 7th grade students if it is collected from a large enough sample and reflects vtv2 trực tiếp bóng đá hôm nay correct distribution of academic performance within vtv2 trực tiếp bóng đá hôm nay grade. If vtv2 trực tiếp bóng đá hôm nay students in vtv2 trực tiếp bóng đá hôm nay statistical table are a representative sample of all 7th graders, then this can be considered representative data.

Problem 2. (1.0 point) A group of 11 tourists from vtv2 trực tiếp bóng đá hôm nay following countries: England; France; vtv2 trực tiếp bóng đá hôm nay United States; Thailand; Belgium; India; Netherlands; Cuba; South Africa; Japan; Brazil. Randomly select one person from vtv2 trực tiếp bóng đá hôm nay above group of tourists. Calculate vtv2 trực tiếp bóng đá hôm nay probability of vtv2 trực tiếp bóng đá hôm nay event "vtv2 trực tiếp bóng đá hôm nay selected tourist is from Europe."

Tourists from Europe: England, France, Belgium, Netherlands.

Total number of tourists: 11.

Number of tourists from Europe: 4.

Probability = 4/11

Problem 3. (3.0 points) Given vtv2 trực tiếp bóng đá hôm nay straight angle xOy with bisector Ot. On ray Ot, take two points A, B (A is between O and B). Select point C ∈ Ox such that OC = OB, select point D ∈ Oy such that OD = OA.

a) Prove that AC = BD and AC ⊥ BD.

b) Let M, N be vtv2 trực tiếp bóng đá hôm nay midpoints of AC and BD, respectively. Prove that OM = ON.

c) Calculate vtv2 trực tiếp bóng đá hôm nay angles of triangle MON.

Problem 4. (1.0 point) vtv2 trực tiếp bóng đá hôm nay pie chart below represents greenhouse gas emissions in three sectors: Agriculture, Energy, and Waste in Vietnam in 2020 (calculated in percentage terms).

Based on vtv2 trực tiếp bóng đá hôm nay chart above, answer vtv2 trực tiếp bóng đá hôm nay following questions:

a) Calculate vtv2 trực tiếp bóng đá hôm nay greenhouse gas emissions generated in vtv2 trực tiếp bóng đá hôm nay Energy and Waste sectors in Vietnam in 2020. Knowing that vtv2 trực tiếp bóng đá hôm nay total greenhouse gas emissions in vtv2 trực tiếp bóng đá hôm nay above three sectors of Vietnam in 2020 is 466 million tons of carbon dioxide equivalent (meaning other greenhouse gases are converted to carbon dioxide for calculating mass).

Total greenhouse gas emissions is 466 million tons CO₂.

Emissions from Energy and Waste will be calculated from vtv2 trực tiếp bóng đá hôm nay percentage in vtv2 trực tiếp bóng đá hôm nay chart.

b) State two measures vtv2 trực tiếp bóng đá hôm nay Vietnamese government has proposed to reduce emissions and mitigate vtv2 trực tiếp bóng đá hôm nay impact of greenhouse gases.

Develop renewable energy (wind, solar).

Promote vtv2 trực tiếp bóng đá hôm nay reduction of energy consumption and vtv2 trực tiếp bóng đá hôm nay use of clean technology.

*Note: Information is for reference only./.

What are vtv2 trực tiếp bóng đá hôm nay 2nd mid-semester question papers and answers for 7th-grade Mathematics in 2025? What are vtv2 trực tiếp bóng đá hôm nay characteristics of 7th-grade Mathematics? (Image from vtv2 trực tiếp bóng đá hôm nay Internet)

What are vtv2 trực tiếp bóng đá hôm nay characteristics of 7th-grade Mathematics in Vietnam?

Under vtv2 trực tiếp bóng đá hôm nay Appendix of vtv2 trực tiếp bóng đá hôm nay General Education Program for Mathematics issued withCircular 32/2018/TT-BGDDT, vtv2 trực tiếp bóng đá hôm nay 7th-grade Mathematics curriculum isspecifically developedas follows:

Mathematics increasingly has more applications in life, and basic math knowledge and skills have helped people systematically and accurately solve real-life problems, contributing to societal development.

Math at secondary schools contributes to forming and developing essential qualities, general competencies, and mathematical competencies for students; it develops key knowledge and skills and creates opportunities for students to experience and apply mathematics in practical situations; it establishes connections between mathematical ideas, between Mathematics and reality, between Mathematics and other subjects and educational activities, especially with Science, Natural Science, Physics, Chemistry, Biology, Technology, and Informatics to implement STEM education.

Mathematics inherently has logical, abstract, and general properties. Therefore, to understand and learn Mathematics, vtv2 trực tiếp bóng đá hôm nay secondary school Math program needs to ensure a balance between "learning" vtv2 trực tiếp bóng đá hôm nay knowledge and "applying" vtv2 trực tiếp bóng đá hôm nay knowledge to solve specific problems.

During vtv2 trực tiếp bóng đá hôm nay learning and application of mathematics, students always have vtv2 trực tiếp bóng đá hôm nay opportunity to use technological tools, modern teaching aids, especially electronic calculators and handheld calculators to support vtv2 trực tiếp bóng đá hôm nay representation, exploration, and discovery of knowledge, as well as vtv2 trực tiếp bóng đá hôm nay solving of mathematical problems.

In vtv2 trực tiếp bóng đá hôm nay general education program, Mathematics is a compulsory subject from grade 1 to grade 12. vtv2 trực tiếp bóng đá hôm nay mathematics education content is divided into two phases:

- Basic education phase: Mathematics helps students systematically understand vtv2 trực tiếp bóng đá hôm nay most essential mathematical concepts, principles, and rules necessary for everyone, laying vtv2 trực tiếp bóng đá hôm nay foundation for further academic study or daily life usage.

- Career-oriented education phase: Mathematics provides students with a relatively comprehensive view of Mathematics, understanding its roles and applications in practical situations, and professions related to Mathematics, enabling students to have a basis for career orientation and vtv2 trực tiếp bóng đá hôm nay ability to independently explore mathematics-related issues throughout their life.

Besides vtv2 trực tiếp bóng đá hôm nay core educational content, each academic year, students (especially those oriented towards natural sciences and technology) can choose to study certain learning topics.

These topics aim to enhance mathematical knowledge, vtv2 trực tiếp bóng đá hôm nay ability to apply math knowledge to practice, meeting students' preferences, needs, and career orientations.

vtv2 trực tiếp bóng đá hôm nay Mathematics curriculum in both educational phases has a linear structure combined with "concentric spiral" (concentric, expand, and progressively escalate), revolving around and integrating three strands of knowledge: Numbers, Algebra and some elements of Calculus; Geometry and Measurement; Statistics and Probability.

What are vtv2 trực tiếp bóng đá hôm nay requirements regardingteaching equipment for Mathematics in Vietnam?

Under vtv2 trực tiếp bóng đá hôm nay Appendix of vtv2 trực tiếp bóng đá hôm nay General Education Program for Mathematics issued withCircular 32/2018/TT-BGDDT, vtv2 trực tiếp bóng đá hôm nay requirements regardingteaching equipment forMathematics in Vietnam areas follows:

- Math teaching equipment contains and describes knowledge that can support teachers and help students focus on specific mathematical subjects (concepts, relationships, mathematical properties,...) to discover, explore, and reinforce knowledge during Mathematics learning.

- vtv2 trực tiếp bóng đá hôm nay use of Math teaching equipment should ensure vtv2 trực tiếp bóng đá hôm nay following requirements:

+ vtv2 trực tiếp bóng đá hôm nay teaching equipment should serve vtv2 trực tiếp bóng đá hôm nay teaching objectives of Mathematics, suitable to vtv2 trực tiếp bóng đá hôm nay learning content and student groups, supporting innovative teaching methods, and should not increase teaching content, teacher work, and incur unnecessary costs.

+ Use at vtv2 trực tiếp bóng đá hôm nay right time, in vtv2 trực tiếp bóng đá hôm nay right place, avoid forms or abuse causing counterproductive effects, reducing vtv2 trực tiếp bóng đá hôm nay effectiveness of vtv2 trực tiếp bóng đá hôm nay teaching process; create conditions for students to actually practice, manipulate training devices, thereby helping students actively and positively explore, discover knowledge, and develop "vtv2 trực tiếp bóng đá hôm nay ability to use tools and means of learning math."

+ Encourage vtv2 trực tiếp bóng đá hôm nay use of audiovisual means, modern technical means supporting vtv2 trực tiếp bóng đá hôm nay teaching process, while valuing vtv2 trực tiếp bóng đá hôm nay use of traditional means. When conditions permit, teachers guide students on how to search for information and materials on vtv2 trực tiếp bóng đá hôm nay Internet or reputable educational television programs to expand understanding and self-study skills.

+ Enhance self-made teaching equipment: Besides vtv2 trực tiếp bóng đá hôm nay minimum teaching equipment specified in vtv2 trực tiếp bóng đá hôm nay list issued by vtv2 trực tiếp bóng đá hôm nay Ministry of Education and Training, initiatives and creativity of students, teachers, and parents should be mobilized in exploiting, designing, and using self-made teaching equipment.

+ Flexibly coordinate vtv2 trực tiếp bóng đá hôm nay use of types of teaching equipment: Each type of device has certain advantages and limitations, so depending on vtv2 trực tiếp bóng đá hôm nay lesson content, teaching methods, different types of teaching equipment may be combined and coordinated reasonably, scientifically, and vividly.

- Based on vtv2 trực tiếp bóng đá hôm nay objectives and required outcomes of vtv2 trực tiếp bóng đá hôm nay Math program, vtv2 trực tiếp bóng đá hôm nay Ministry of Education and Training issues a list of minimum teaching equipment ensuring adequate quantity and types. Specifically:

+ Primary level:

++ Numbers and Calculations: Includes sets of teaching equipment about Natural Numbers and calculations (addition, subtraction, multiplication, division) with natural numbers; Fractions and calculations (addition, subtraction, multiplication, division) with fractions; Decimals and Calculations about decimals; Percentage.

++ Geometry and Measurement: Includes sets of teaching equipment for recognizing, describing shapes and features of some flat shapes and solids; practicing measuring, drawing, assembling, creating shapes (corresponding to vtv2 trực tiếp bóng đá hôm nay Math program of each grade); practical weighing, measuring, counting, checking time, buying and selling.

++ Elements of Statistics and Probability: Includes sets of teaching equipment about Reading, describing, representing data in tables, and statistical graphs; and familiarizing with vtv2 trực tiếp bóng đá hôm nay possibility of an event occurring.

+ Lower secondary level:

++ Numbers and Algebra: Includes sets of teaching equipment about Integers and Calculations with integers; Percentage; Functions and Graphs.

++ Geometry and Measurement: Teaching equipment sets for recognizing, and describing shapes and features of some flat shapes and solids; concerning practical measurement, drawing, creating shapes associated with learned flat shapes and solids.

++ Some elements of Statistics and Probability: Teaching equipment sets for Statistics and Probability.

+ Upper secondary level:

++ Algebra and some elements of Calculus: Teaching and learning device sets about Functions and Graphs.

++ Geometry and Measurement: Teaching equipment sets for Recognizing, describing pyramid, prism, cone, sphere, cylinder shapes, conic curves.

++ Statistics and Probability: Teaching equipment sets for Statistics and Probability.