1、3.05m =( )cm 10.8m2 =( )dm2

6050cm3 =( )dm3 2800mL =( )L =( )dm3

2. Fill in the appropriate unit of volume or unit of volume in the brackets.

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

4, 36 and 9, () is a multiple of (), and () is a factor of ().

5. Write all factors of 12 and all multiples within 50:

Factor: () times: ()

6, from 0, 5, 6, 7 three randomly selected, according to the requirements of four different three digits:

Odd number (); Multiply of 3 ();

Even number (); It is a multiple of 3 and a multiple of 5 ().

7. The sum of the smallest natural number and the smallest prime number and the smallest composite number is ().

8. The sum of two prime numbers is 10, and the product is 2 1. They are () and () respectively.

9. The minimum two digits that are multiples of 2, 3 and 5 at the same time are (), the maximum two digits are () and the minimum three digits are ().

10. When the side length of a cube is enlarged by 2 times, its surface area is enlarged by () times.

1 1, the sum of the sides of a cuboid and a cube is equal. It is known that a rectangle is 6 cm long, 5 cm wide and 4 cm high. The side length of a cube is () cm and the surface area is () cm 2. Compared with a cuboid, () has a larger volume.

Second, judge. (Mark "√" for the right and "×" for the wrong) (5 points)

1, all odd numbers are prime numbers. ( )

2. The sum of two prime numbers must be even. ( )

The multiple of a number must be greater than its factor. ( )

4. Subtract 1 from any odd number, and the result is even. ( )

5. Two cubes with side length of 1cm are spliced into a cuboid, and the surface area of the cuboid is 12cm2. ( )

Third, choose. (Please choose the serial number of the correct answer and put it in brackets) (12 points)

1, and the ratio between two adjacent unit volumes is ().

① 10 ② 100 ③ 1000

2. When the side length of a cube is expanded by 3 times, its volume is expanded by () times.

① 3 ② 9 ③ 27

3. A composite number has at least () factors.

① 2 ② 3 ③ 4

4. To make the three-digit "56□" divisible by 3, you can fill in the maximum number of "□" ().

① 7 ② 8 ③ 9

5. A rectangular piece of wood has a cross-sectional area of 9cm2. If you cut it into two sections, the surface area will increase by () cm2.

① 9 ② 18 ③ 27

6. In the plan below, the symbol () cannot be folded into a cube.

① ② ③

Fourth, calculation. (***25 points)

1, a number written directly. (9 points)

1.53-0.5= 7.8+0.9= 7.5-2.5=

12÷0.4= 0.56+4.44= 2.9+3.7+2. 1=

4×0.25= 1.25×5×8= 7.6×8+2.4×8=

2. Calculate the surface area and volume of the following three-dimensional graph. (Unit: cm) (16 minute)

Verb (abbreviation for verb) operation. (*** 10 point)

1. Draw the symmetry axes of the following axisymmetric figures as many as you can. (4 points)

2. Draw the axisymmetric figure below. 3. Draw a figure that rotates 90 degrees clockwise around point O. ..

Sixth, solve the problem. (***24 points)

1. The canteen should make a glass counter, which is 220 cm long, 40 cm wide and 80 cm high, with angle irons on both sides. How many meters of angle iron does this counter need? (6 points)

Schools should paint the walls and ceilings of classrooms. It is known that the length of the classroom is 9 meters, the width is 7 meters and the height is 3 meters. After deducting the door and window area of 12.5 square meters, what is the area to be painted? (6 points)

3. A cube fish tank with a side length of 5 meters is filled with water. Pour water into a rectangular fish tank with a bottom area of 50 square decimeters. How deep is the water in the rectangular fish tank?

(6 points)

4, a square steel, 6 meters long, the cross section is a square with a side length of 4 cm.

How many tons does this square steel weigh? (1 cubic centimeter steel weight 10g) (4 points)

(2) Can a truck with a load of 5 tons transport 50 square bars at a time? (2 points)