1. Fill in the blanks (65438+ 0 for each blank, ***20 for each blank)
1. Look at the picture and answer the question.
(1) The pointer starts from "1" and rotates 60 clockwise around the O point, then points.
(2) The pointer rotates 90 counterclockwise around point O from "1" and then points.
(3) The pointer starts from "7" and rotates 90 counterclockwise around the O point, and then points.
(4) When the pointer rotates from 5 around the O point to 12, it should rotate clockwise by _ _ _ _ _ _ degrees.
Turn _ _ _ _ _ _ _ degrees counterclockwise.
2. It is known that the four-digit 374□ is a multiple of 2 and 3 at the same time, so □ should be filled in _ _ _ _ _ _ _.
3. Fill in the appropriate prime number on the horizontal line, which cannot be repeated.
23=______+______+_______。
4. Divide 72 into prime factors of _ _ _ _ _ _ _ _ _ _ _ _ _ _.
5.97,965,438+0,2,654,38+0,4, the total number is _ _ _ _ _ _ _ _ _ _ _ _; The prime number is _ _ _ _ _ _ _ _; The odd number is _ _ _ _ _ _.
6.4.08 L = _ _ _ _ L _ _ _ _ mL.
68750 px3 = _ _ _ _ _ _ _ _ _ _ _ _ _ ml = _ _ _ _ _ _ _ L
7. The cross section of cuboid wood is a square with a side length of 6 cm, and the length of wood is 25 cm. The volume of this cuboid wood is _ _ _ _ _ _ _ cubic centimeter, that is _ _ _ _ _ _ cubic decimeter.
8. The bottom of a cuboid is a square with a circumference of 500px and a height of 100px. The surface area of this cuboid is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
II. True or false questions (2 points for each question, *** 10)
1. The parallelogram is an axisymmetric figure. ( )
2. Natural numbers are either odd or even. ( )
A cuboid with two opposite faces that are square, and its other four faces are exactly the same. ( )
4. At least four cubes with the volume of 1 cm3 are needed to make a big cube.
A cube. ( )
A bottle of white wine has 500 liters. ( )
Three, multiple-choice questions (2 points for each question, *** 10)
1. has a number, which is both a multiple and a factor of 30. This number is ().
A. 15
2. Four digits consisting of 0, 3, 4 and 8 can be divisible by ().
A.5 B.2 C.3
There is a basket of eggs, two together, three together, four together and five together. This basket of eggs has at least ().
A. 120
4. After sawing a 2-meter-long cuboid wood into two sections, the surface area increased by 100 cm2, and its volume was ().
A.200 cubic centimeters B. 10000 cubic centimeters c.2 cubic decimeters
5. The cuboid is 3 times shorter in length, 3 times wider in width and 3 times larger in volume, so it is high ().
A. Zoom in 3 times. B. Keep it unchanged. C. Zoom out 3 times.
Four, drawing questions (*** 10)
1. Draw the symmetry axis of the following figure. (5 points) 2. Draw a graph of triangle AOB rotating 90 degrees clockwise around point O. (5 points)
Five, do the problem as required (***50 points)
1. Take three of the following four digital cards and form three digits as required. (12)
7 3 2 0
(1) Even number: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
(2) Odd numbers: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
(3) Multiply of 3: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
(4) Multiply of 5: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
(5) It is also a multiple of 2, 3 and 5: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
(6) Prime number: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
2.48 students line up, requiring the same number of people in each row. How many rows can they line up? There are several different arrangements, please write them out separately. (Write at least 5 kinds) (5 points)
3. The picture below is an enlarged view of a cuboid. Measure the relevant data and find out the surface area and volume of this cuboid. (8 points)
4. Forging a cubic billet with a side length of 0.5m into a rectangular steel with a cross-sectional area of 0.05m2 How long is the forged steel? (7 points)
5. How many square decimeters of glass does it take to make a rectangular bathtub (without a cover) with a length of 8 decimeters, a width of 4 decimeters and a height of 6 decimeters? If glass costs 4 yuan per square decimeter, how much does it cost to buy glass at least? (8 points)
6. A 6-decimeter-long cubic container is filled with water, and all the water in the container is poured into a rectangular sink. From the inside, it is 6 decimeters long and 5 decimeters wide.