First, fill in the blanks. (20 points)

1. By rounding, the approximate value of a three-digit decimal is 8.30. The original maximum value of this number is (), and the minimum value is ().

2. For a decimal, move the decimal point one place to the left, and then expand it by 1000 times to get 365, then the original decimal point is ().

3. Put two squares with a side length of 10 cm into a rectangle. The perimeter of this rectangle is () and the area is ().

4. The height of the cone is 24cm, and the volume is 80cm3, which is 40cm3 smaller than the volume of the cylinder with the same bottom, and the height of the cylinder is () cm.

5. A batch of books were distributed to Class One, Grade Six, with an average of l2 books per student. If it is only distributed to girls, each person can get an average of 20 copies; If it is only distributed to boys, everyone will get () copies on average.

6. The volume of a cylinder is 9.42 cubic decimeter, and the volume with the same height as its bottom surface is () cubic decimeter.

In 2008, the Olympic Games was held in Beijing. There is a difference of () days between the first half and the second half of this year.

8. A number is 25% of it is ().

9. Divide 240 into two numbers, A and B, according to 3: 5. A number is () and B number is ().

10.△△□☆★△□☆★△□☆★ … The 30th from the left is (), and at this time there is () △ * *, and the other three numbers * * are 18.

1 1. When () is a constant, () and () are directly proportional to ().

12. The picture below shows a target plate with the score of shooting a certain area marked on it. Xiao Ming's shooting score is exactly 100, Xiao Ming has shot at least () times, and the shooting scores are () respectively.

Judge whether it is true or not (mark "√" for the right and "×" for the wrong). (5 points)

1. The longer the sides of an angle are, the larger the angle is. ( )

The circumference of each circle, regardless of its size, is twice its diameter. ( )

3. The prime factor of decomposition 12 is L2 =1× 2× 3. ( )

There are unknowns in it, so it is an equation. ( )

5.4 is 20% less than 5, which means 5 is 20% more than 4. ( )

Third, multiple-choice questions (fill in the serial number of the correct answer in brackets). (5 points)

1. Master Wang originally processed a batch of parts in 5 minutes, and completed the task in 2 minutes after the technical update. His work efficiency has improved ().

60% b 150% c 250%

2. The side length of a cube and its volume ().

A. directly proportional; Inverse ratio; be disproportionate

3. The circumference of a semicircle with a diameter of 2 cm is ().

A.6.28 B.3.14cm C.5.14cm

4. The following statement is true ().

A.a ray is 50 meters long.

There are six big months and six small months in a year.

C. and 4: 3 can form a proportional formula.

5. If ☆ represents the same natural number, then in the following example, the largest number is ().

A.☆b .☆c .×☆

Fourth, the calculation problem. (30 points)

1. Write directly (8 points)

7.3-3.7= 3 ÷ 0.3= 0. 12 = 40 × ( )%= 100

14 + 15 = 2-34 = 1- 4 9 + 5 9 = 47 ×( )= 1

2. Calculate the following problems, which can be simplified (16 points).

13.25-5.34-7.66+ 4.75 6.48 ÷〔(3.3-2.7)×0.9〕

10 13 ×(3 4 + 1÷ 5 6 ) 78 × 13 9 + 13 9 ÷ 8

3. Solve equations or proportions (6 points)

4X+4.4 = 20 X-32% X = 1.7 3 4:X = 5 6:23

Fifth, the graphic problem. (9 points)

1. It is known that the shaded area in the figure below is 6 square centimeters. Find the area of the smaller of two squares. (5 points)

2. As shown below, in △ABC, be: EC = 3: 1, d is the midpoint of AE, and BD: DF = 7: 1. Looking for af: what is fc equal to? (4 points)

Sixth, the application problem. (30 points)

1. The road team will build a highway, and it is planned to build105m every day, which will be completed in 450 days. How many meters do you actually need to repair every day if you want to finish it 30 days ahead of schedule? (solved by equation) (5 points)

2. In a rectangular box with length, width and height of 2 decimeters, 2 decimeters and 5 decimeters respectively, just a cylindrical object can be put down (as shown below). What is the maximum volume of this cylindrical object? How many cubic decimeters is the free space in the box? (5 points)

3. Two cars leave from A and B at the same time. Car A travels 50 kilometers per hour and car B travels 60 kilometers per hour. After 4 hours, the two cars will travel 80% of the whole journey. How many kilometers is it between A and B? (5 points)

4. The upper shelf stores 30% more books than the lower shelf, and the lower shelf stores fewer books 15. How many books are stored in the upper and lower floors of this bookshelf? (5 points)

5. As shown in the picture, it is a trapezoidal vegetable field. Li Yu walked around this vegetable field. His average stride length is 0.64 meters, and he took 450 steps. It is known that the sum of the two bottoms of a trapezoid is three times that of two waists, and the length of one waist is twice that of the other. Find the area of this trapezoid. (5 points)

6. It is 24 kilometers from the foot of the mountain to the top of the mountain. A person goes up the mountain at a speed of 4 kilometers per hour. After reaching the top of the mountain, he immediately went down the mountain by the same way. It is known that the average speed of going up and down the mountain is 4.8 kilometers per hour. How many kilometers per hour does this man go downhill? (5 points)