What are the 2nd mid-semester question papers and answers for 5th-grade Mathematics in 2025? What are the regulations on basic teaching equipment used for 5th-grade Mathematics in Vietnam?

What are the 2nd mid-semester question papers and answers for 5th-grade Mathematics in 2025?

Teachers can refer to the following 2nd mid-semester question papers and answers for 5th-grade Mathematics in 2025:

2nd mid-semester question papers and answers for 5th-grade Mathematics in 2025

Question Paper No. 1:

Please circle the correct answer for each question and solve the exercises as required:

Question 1: (M1- 1.0 point)

a) Mixed number 25/100 converted into a decimal fraction is:

b) Round the decimal 19.385 to the tenths place.

Question 2: (M1- 0.5)

The pie chart below shows the percentage ratio of students who like Art, Vietnamese, Math, and Science. Knowing the class has 40 students, how many students like Math: A. 20 B. 25 C. 30 D. 40

Question 3:(M1 - 0.5) Class 5B has 40 students. Female students make up 40% of the class. So, the number of female students in the class is:

A. 8 students B. 16 students C. 20 students D. 24 students

Question 4: (M2- 0.5). Given 64.97 << 65.14. The natural number filled in the blank is:

A. 64 B. 65 C. 66 D. 63

Question 5 : (M1- 0.5) a, The sum of 2 numbers is 40. The ratio of the two numbers is . The larger number is:

A. 8 B. 16^^ C. 24 D. 36

Question 6: (M1- 0.5) The distance from Lan's house to school is 1000 m. Lan draws that distance on a map with a ratio of 1: 500. How long is that distance on the map in centimeters?

A. 2 B. 10 C. 100 D. 200

Question 7: (M2 - 0.5 point) If the side of the cube is tripled, the total surface area of ​​the cube increases by:

A. 3 times B. 6 times C. 9 times D. 12 times

Question 8: (M2 -1.0 point) Write T for true and F for false:

Question 9: (M2 - 2.0 points) Set up the calculation and solve:

48.12 + 54.7

85.26 - 37.12

57.5 x 1.4

26.78 : 13

Question 10:(M2 -2.0 points) A rectangular aquarium has a length of 120cm, width of 60cm, height of 150cm.

a) Calculate the glass area for making the aquarium (the aquarium has no lid)

b) If filled with water, how many liters of water can the aquarium hold (know that 1dm³ = 1 liter)

Question 11 (M3 -1.0 point) : Calculate in the most convenient way:

420 : 0.5 + 420 x 94 + 420 : 0.25

Answer Key for Mid-Semester 2 Grade 5 Math Exam

SUBJECT: MATH GRADE 5

SCHOOL YEAR: 2024-2025

Question 9. (2 points) Each calculation done correctly and accurate answer gets 0.5 point

(Note: Correct setup, wrong result gets 0.25 point, incorrect setup, correct result gets no point)

Question 10. (2 points)

a) The surrounding area of ​​the aquarium is:

(120 + 60) x 2 x 150 = 54,000 (cm²) (0.5 point)

The base area of the aquarium is:

120 x 60 = 7,200 (cm²) (0.25 point)

The total glass area for making the aquarium is:

54,000 + 7,200 = 61,200 (cm²) (0.25 point)

b) If filled with water, the aquarium holds this many liters:

120 x 60 x 150 = 1,080,000 (cm³) (0.5 point)

1,080,000 cm³ = 1,080 dm³ = 1,080 liters (0.25 point)

Answer: a) 61,200 cm² (0.25 point)

b) 1,080 liters

Question 11 (1 point): Calculate in the most convenient way

420 : 0.5 + 420 x 94 + 420 : 0.25

= 420 x 2 + 420 x 94 + 420 x 4 0.25 point

= 420 x (2 + 94 + 4) 0.25 point

= 420 x 100 0.25 point

= 42,000 0.25 point

Question Paper No. 2:

I. Multiple Choice Section. (3 points)

Circle the letter in front of the correct answer:

Question 1. A cube with a side of 8 cm. The total surface area of ​​that cube is: (0.5 points)

A. 192 cm²

B. 256 cm²

C. 384 cm²

D. 128 cm²

Question 2. Represent the sum of the two decimal numbers 0.5 and 0.7 as a percentage. (0.5 points)

A. 120%

B. 60%

C. 1.2%

D. 0.12%

Question 3. 1 m³ is the volume of a cube with a side of: (0.5 points)

A. 1 m

B. 1 dm

C. 1 cm

D. 10 cm

Question 4. Minh takes 25 minutes to go from home to the company. To be at the company by 8:30, Minh needs to leave home at: (0.5 points)

A. 8:00

B. 8:05

C. 8:10

D. 8:15

Question 5. An industrial park in the form of a rectangle has a total length and width of 20 km, with the length being 4 times the width. Thus, on a map with a scale of 1 : 50,000, the length of the industrial park is: (0.5 points)

A. 32 cm

B. 320 cm

C. 2,560 cm

D. 2.56 cm

Question 6. A rectangular box has a length of 30 cm, the length is 3 times the width and 6 times the height. What is the surrounding area of ​​that rectangular box: (0.5 points)

A. 540 cm²

B. 720 cm²

C. 900 cm²

D. 400 cm²

II. Essay Section. (7 points)

Exercise 1. Calculate: (2 points)

Exercise 2. Number? (1 point)

Exercise 3. Number? (1 point)

A cubic metal block has a side of 0.8 m. Knowing each cubic decimeter of metal weighs 15 kg. What is the weight of the metal block? 7,680 kg.

Volume of the metal block: 0.8 m = 8 dm, 8³ = 512 dm³

Weight: 512 x 15 = 7,680 kg

Exercise 4. A company produces 500 cakes per day. In one day, defective cakes make up 5% of the total cakes produced. Calculate the percentage ratio of non-defective cakes to the total cakes produced in a week. (1 point)

Solution

Cakes produced in a week = 500 x 7 = 3,500 cakes

Defective cakes = 5% x 3,500 = 175 cakes

Non-defective cakes = 3,500 - 175 = 3,325 cakes

Percentage ratio = (3,325 / 3,500) x 100% = 95%

Exercise 5. There are two fish tanks; the first tank holds 36 fewer fish than the second. Knowing that 5 times the number of fish in the first tank equals 2 times the number of fish in the second tank, find how many fish each tank holds. (2 points)

Solution

Let x be the number of fish in the first tank and y be the number of fish in the second tank.

We have the system of equations:

5x = 2y

y = x + 36

Substitute into the first equation:

5x = 2(x + 36)

5x = 2x + 72

3x = 72

x = 24

Therefore, the number of fish in the first tank is 24, and the second tank has 60 fish.

Question Paper No. 3:

I. Multiple Choice Section. (3 points)

Circle the letter in front of the correct answer:

Question 1. The measurement “Thirty-seven point zero five cubic decimeters” is written as: (0.5 points)

A. 37.05 dm²

B. 37.5 dm³

C. 37.05 dm³

D. 30.75 dm³

Question 2. 1.2% of 15,000,000 VND is: (0.5 points)

A. 150,000 VND

B. 180,000 VND

C. 120,000 VND

D. 200,000 VND

Question 3. The year 1856 belongs to the century: (0.5 points)

A. XVIII

B. XIX

C. XX

D. XXI

Question 4. A rectangular box has a length of 5.2 cm; width of 4.1 cm, and height of 3.3 cm. The volume of the rectangular box is: (0.5 points)

A. 70.356 cm³

B. 65.34 cm³

C. 55.44 cm³

D. 60.72 cm³

Question 5. A library opens at 7:15 AM and closes at 6:45 PM. Therefore, it is open for: (0.5 points)

A. 11 hours 30 minutes

B. 12 hours 30 minutes

C. 11 hours 45 minutes

D. 12 hours 45 minutes

Question 6. A cream cake in the form of a cube with a side of 30 cm. A piece in the form of a rectangular box is cut away with a length of 7 cm, width of 4 cm, and height of 6 cm. The volume of the remaining part of the cake is: (0.5 points)

A. 168 cm³

B. 27,000 cm³

C. 26,832 cm³

D. 27,168 cm³

II. Essay Section. (7 points)

Exercise 1. Set up the calculation and solve: (2 points)

Exercise 2. Number? (1 point)

Exercise 3. The following table shows the sales results of each type of fruit compared to the total fruits sold by a store in a quarter. (1 point)

Complete the chart below based on the data:

Exercise 4. Number? (1 point)

This morning, Minh's family started picking apples at 7:00 AM, took a 20-minute break, and finished at 10:00 AM. Minh's parents weighed the apples picked and got 16 quintals. So:

The time Minh's family spent picking apples is ...... hours ...... minutes.

On average, every ...... minutes, Minh's family picked 1 quintal of apples.

The duration from 7:00 to 10:00 is 3 hours.

Break time is 20 minutes = 1/3 hour.

Thus, the picking time is 3 hours - 1/3 hour = 2 hours 40 minutes.

On average:

16 quintals / 2 hours 40 minutes = 16 quintals / (2 + 2/3) hours = 16 quintals / (8/3) hours = 16 x (3/8) = 6 quintals/hour

On average, every 26 minutes, Minh's family picked 1 quintal of apples.

Exercise 5. Lan's room is in the form of a rectangular box with a length of 5 m, width of 4 m, and a height of 30 dm. Lan wants to paint the interior walls and ceiling. The total area of ​​the doors is 8 m². Calculate the area Lan needs to paint for the room. (1 point)

Solution

Calculate the area Lan needs to paint for the room:

The area of ​​the interior walls:

The total area of the walls:

2 x (5 m x 30 dm + 4 m x 30 dm) = 2 x (150 dm² + 120 dm²) = 2 x 270 dm² = 540 dm².

Ceiling area:

Ceiling area = 5 m x 4 m = 20 m² = 200 dm².

Total area to paint: 540 dm² + 200 dm² = 740 dm².

Door area is 8 m² = 80 dm².

Area to paint = 740 dm² - 80 dm² = 660 dm².

ExamQuestion 5. A rectangular plastic box has a width of 0.5 m, a length three times its width, and a height of 40 cm. The volume of this plastic box is: (0.5 points)**

A. 0.3 m3

B. 0.06 m3

C. 0.1 m3

D. 0.25 m3

Question 6. A water tank has a volume of 6 m³, the amount of water in the tank is 75% of its volume. A quantity of water is taken out such that the remaining water in the tank equals 65% of the tank's volume. Knowing that 1 l = 1 dm3, the amount of water taken out is: (0.5 points)

A. 600 l

B. 700 l

C. 800 l

D. 900 l

II. Essay Part. (7 points)

Exercise 1. Set calculations and compute: (2 points)

Exercise 2. Arrange the following measurements in ascending order: (1 point)

1,500 cm3; 1.8 dm3; 0.15 m3 and 2 dm3 5 cm3.

1,500 cm³ = 1.5 dm³

1.8 dm³

0.15 m³ = 150 dm³

2 dm³ 5 cm³ = 2.005 dm³

Order from smallest to largest:

1.5 dm3 < 1.8 dm3 < 2.005 dm3 < 150 dm³

Exercise 3. Number? (1 point)

The above image has …….. trapezoids, ………. triangles

Exercise 4. The working hours in a day of three workers A and B are 25%, 40% respectively. Each chart represents the working hours in a day of whom? (1 point)

Chart A:Worker A; Chart B: Worker B.

Exercise 5. Circle with center O has a radius of 5 dm. The area of the shaded section is 60% of the total circle area. Calculate the area of triangle DEF. (2 points)

Solution

The area of the circle is: 5 x 5 x 3.14 = 78.5 (dm²)

The area of the shaded section is: 78.5 x 60 : 100 = 47.1 (dm²)

Note: Information is for reference purposes only./.

What are the 2nd mid-semester question papers and answers for 5th-grade Mathematics in 2025? What are the regulations on basic teaching equipment used for 5th-grade Mathematics in Vietnam? (Image from Internet)

What are the regulations on basic teaching equipment used for 5th-grade Mathematics in Vietnam?

According to sub-section 3, Section 8, General Education Program for Mathematics issued together with Circular 32/2018/TT-BGDDT, the basic teaching equipment used for 5th-grade Mathematics in Vietnam is specified as follows:

(1) Teaching equipment for Mathematics contains and describes knowledge that supports teachers and guides students towards specific mathematical objects (concepts, relationships, mathematical properties,...) to explore and deepen knowledge during Math learning.

(2) The use of teaching equipment in Mathematics should ensure several requirements:

- Equipment serves the educational goals in Mathematics, aligning with the content and student demographics, promoting innovative teaching methods, and avoiding unnecessary content expansion, workload for teachers, or unnecessary expenses.

- Use equipment at the right time and place, avoid superficiality or overuse leading to reduced teaching effectiveness; allow students to practice with the equipment, foster active exploration and discovery of knowledge, and contribute to developing "competency in using mathematical tools and instruments."

- Encourage the use of audiovisual means, modern technological tools to aid the teaching process, while valuing traditional tools. When feasible, teachers should guide students to search for information and resources on the Internet or educational TV programs to enhance their knowledge and self-learning abilities.

- Enhance self-made teaching equipment: Beyond the minimum equipment mandated by the Ministry of Education and Training, encourage creativity from students, teachers, and parents in designing and utilizing self-made teaching tools.

- Flexibly combine various types of teaching equipment: Each type has its advantages and limitations, therefore, depending on the lesson content and teaching method, a well-balanced and scientific combination of equipment should be applied.

(3) Based on the goals and requirements of the Mathematics program, the Ministry of Education and Training issues a list of minimum teaching equipment, ensuring adequate quantity and types. Specifically:

- Elementary level:

+ Numbers and Operations: Includes sets of teaching equipment for Natural Numbers and operations (addition, subtraction, multiplication, division) with natural numbers; Fractions and operations (addition, subtraction, multiplication, division) with fractions; Decimal numbers and operations with decimal numbers; Percentage ratios.

+ Geometry and Measurement: Includes sets of teaching equipment for identifying, describing shapes and characteristics of certain flat and solid shapes; practicing measuring, drawing, assembling, modeling (corresponding to each grade's Math program); practicing weighing, measuring, counting, telling time, and conducting transactions.

+ Elements of Statistics and Probability: Includes sets of teaching equipment for reading, describing, and representing data in tables and charts; familiarization with event likelihood.

How many periodic tests will 5th-grade students in Vietnam take in Mathematics?

Under Article 7 of the Regulations on Assessment of Primary School Students issued with Circular 27/2020/TT-BGDĐT:

Periodic assessment

1. Periodic assessment for academic contents of subjects and academic activities.

a) In the middle of the first semester, at the end of the first semester, in the middle of the second semester and at the end of a school year, subject specialist teachers rely on regular assessment, requirements to be achieved, specific display of capacities of each subject and academic activities to assess students in each subject and academic activity as follows: 

- Good completion: excellently achieve academic requirements and regularly display specific capacities of subjects or academic activities;

- Completion: achieve academic requirements and display specific capacities of subjects or academic activities;

- Incompletion: fail to achieve any academic requirement or fail to display specific capacities of subjects or academic activities;

b) At the end of the first semester and at the end of a school year, organize periodic examination for compulsory subjects: Vietnamese literature, Mathematics, Foreign language 1, History and Geography, Computer and Technology;

For students in 4th grade or 5th grade, organize additional periodic examination for Vietnamese literature and Mathematics in between the first semester and the second semester.

c) Periodic exam questions must conform to requirements to be achieved and specific display of capacities of subjects and consist of questions and exercises designed in levels as follows:

- Level 1: Recognize, repeat or describe learned contents and adopt to deal with several familiar situations and issues in learning;

- Level 2: Connect and arrange learned contents to deal with similar issues;

- Level 3: Apply learned contents to deal with new issues or provide reasonable responses in learning and life.

....

Thus, 5th-grade Mathematics has 4 periodic tests: in the middle of the first semester, at the end of the first semester, in the middle of the second semester, and at the end of a school year. The periodic exam questions are designed at 4 levels:

- Level 1: Recognize, repeat or describe learned contents and adopt to deal with several familiar situations and issues in learning;

- Level 2: Connect and arrange learned contents to deal with similar issues;

- Level 3: Apply learned contents to deal with new issues or provide reasonable responses in learning and life.