Name score

Fill in the blanks. (35 points)

1.5890ml = () l = () cubic decimeter.

3.5 cubic meters = () cubic meters () cubic decimeter

2. A = 4b (both A and B are integers not equal to 0), the greatest common divisor of A and B is (), and the smallest common multiple is ().

3. A cuboid block is 6 cm long and 4 cm wide. 3 cm tall. If you cut it into small squares of 1 cubic centimeter, you can cut out () blocks.

The sum of the sides of the cube is 96 decimeters. The surface area of this cube is () square decimeter and the volume is () square decimeter.

5. In1.5,5,0, 18,19,80,51and 2.4, the integer is (); Prime numbers have (); Both odd and complex (); () is the divisor of ().

6. The prime factor of decomposition 165 is ().

7. () is divisible by () in14,6,15,24, and () and () are prime numbers.

8. If both A and B are prime numbers, then their greatest common divisor is () and their least common multiple is ().

10, at 8,10,25, () is both a composite number and an odd number, () and () are prime numbers.

9. () is both a prime number and an even number. () is the smallest combination of odd numbers.

10. Both cuboids and cubes have () faces, () edges and () vertices.

1 1. A rectangle is 6 meters long, 5 meters wide and 4 meters high. The sum of its sides is () meters, the surface area is () square meters, the building area on the ground is () square meters and the volume is () cubic meters.

12.5□ When () is filled to the maximum, this number can be divisible by 3, and the divisor of this number is ().

Second, judge. (5 points)

1, the sum of two prime numbers must be even. ( )

2. The prime factor of a number must be a prime number. ( )

3. Even numbers greater than 2 are composite numbers. ( )

4. The product of two prime numbers must be a composite number. ( )

5. If A is divisible by B, then A is a multiple of B .. ()

Third, choose. (5 points)

1. In the following groups, the second number is divisible by the first number ().

A.2.5 and 5 B. 4 and 10 C. 0.4 and 1.2 D. 5 and 25.

2.a=2×5×5, b=2×3×5, and the least common multiple of A and B is ().

A. 10

3. To make 126 () divisible by 5, you can fill in ().

A.2、0 B. 0、5 C. 3、5 D. 3、5、0

4. 1 Yes ().

A. Minimum prime number B. Minimum integer

C. Common divisor of all natural numbers

4. The teacup can hold water ().

A.250 liters, 250 cubic meters, 250 milliliters and 2500 grams

5. Put two identical cuboid blocks together to form a big cuboid block. The following statement is correct ().

A. the surface area increases, but the volume remains the same. B. the surface area decreases, but the volume remains the same.

C. Both surface area and volume increase. D. Both surface area and volume remain unchanged.

Fourth, calculate the following questions. (12)

2.9× 1.4+2×0. 16 200-(3.05+7. 1)× 18

30.8÷[ 14-(9.85+ 1.07)] (2.44- 1.8)÷0.4×20

5. Find the greatest common divisor and the least common multiple of the following groups. (Only the least common multiple of 3 numbers) (9 points)

24 and 30 28 and 84 39, 52 and 78

Sixth, draw a picture. (10)

Xinhua Bookstore's book sales statistics in the first quarter of 2004 are as follows.

Count (measure) months

diversification

January

February

March

readings for children

780

640

580

Adult reading materials

650

820

900

According to the data in the table, complete the following statistical chart.

Sales Statistics of Xinhua Bookstore in the First Quarter of 2004

time

Children's books and adult books

Unit: book

1 month, February and March

(1) () The most popular children's books are ().

(2) In the first quarter, () books sold well, and * * * sold more () books.

(3) The average monthly sales volume of adult books is ().

(4) What information can you get from the pictures?

Seven, in practice. (24 points)

1. The picture on the right is an enlarged view of an iron box without a cover (unit: decimeter).

(1) What is the volume of the iron box welded with this iron sheet?

(2) How much iron should be used to make this tin box?

2. An office 8 meters long, 6 meters wide and 2.8 meters high needs to paint four walls. Given that the doors and windows are ***42 square meters, how big is the area to be painted?

Xiaojun walked three times along the 30-meter-long straight road, with 48 steps, 50 steps and 52 steps each time. Jun, what is the average length of each step?

4. A section of rectangular steel, with a length of1.6m and a cross section of 4cm square. It weighs only 7.8 grams per cubic centimeter. How much does this square steel weigh?

5. Forging a cubic blank with a side length of 0.6 meters into rectangular steel with a cross section of 0.09 square meters. How long is forged steel? (Equation solving)

6. The distance between A and B is 120km. It took someone five hours to get from A to B by bike, and it took four hours to accelerate when he came back. How many kilometers does he drive per hour on average?