I. Fill in the blanks (20%)

1. There are 25 boys and 20 girls in a class, with more boys than girls ()% and fewer girls than boys ()%.

2.630 books press 3? Distribute it to the fifth and sixth grades, and the sixth grade will get the book ().

Xiao Lin rides a bike from home to school. The speed of his bike is in direct proportion to the time it takes.

4. in A×B=C, when b is constant, the ratio of a to c is (), and when c is constant, the ratio of a to b is ().

5. The ratio of the diameter of a circle to its area ().

6. In the formula X: =: 2, X = ()

7. Walking, A takes 4 hours, B takes 3 hours, and the walking speed ratio between A and B is ().

8. On the scale of 1? On the map of 2000000, the distance between the two places is 38 cm, and the actual distance between the two places is () kilometers.

10 and 1 m: 40 cm The simplest integer ratio is (), and the ratio is ().

1 1. A rectangle can be obtained by enlarging the side of the cylinder. The length of this rectangle is equivalent to the length of the cylinder (), and the width is equivalent to the width of the cylinder ().

13. The sum of the volumes of cylinders and cones with equal bottoms and equal heights is 28 cubic meters, and the volume of cylinders is ().

14, the radius of the cone bottom is the radius of the cylinder bottom, and the ratio of the height of the cylinder to the height of the cone is 4: 5, so the volume of the cone is the volume of the cylinder ().

15, a 1 meter long cylindrical steel, after cutting off a section of 2 decimeters, the surface area is reduced by 25. 12 square decimeter, and the original volume of this steel is () cubic decimeter.

Second, multiple choice questions. (8%)

1, 24 iron cones, the number of cylinders that can be cast with equal bottom and equal height is []

A. 12

2. Compare the volumes of cylinders, cubes and cuboids with equal bottoms and equal heights []

A.this cube is very big. This cuboid is very big. This cylinder is very big. D. it's the same size

3. The radius and height of the bottom surface of the cylinder are expanded by 3 times, and the volume is expanded by [] times.

A.3 B.6 C.9 D.27

4. If A is proportional to B and B is proportional to C, then A and C become [].

A, in direct proportion. B, inverse proportion. C, out of proportion.

Third, the judge. ( 12%)

1, cuboids, cubes and cylinders with the same base area and height must have the same volume. ( )

2. The area of a circle is proportional to its radius. ( )

The radius of the bottom of the cylinder is 8 cm, and its side is just a square. The height of this cylinder is 16 cm. ( )

4. If two external terms of a proportion are reciprocal, then two internal terms must also be reciprocal. ( )

5. The sum of the volumes of three cones is exactly equal to the volume of a cylinder. ( )

6. if x and y are inversely proportional, then 3 x and y are also inversely proportional. ( )

Fourth, find the unknown x (12%)

( 1)3:8 = x:2.4(2)x:5 =:0.5(3):x = 6

V. Application problems (40%)

1. The radius of the bottom of the cylinder is 2 decimeters, and the side area of the cylinder is 62.8 square decimeters. What is the volume of this cylinder?

2. There is a cylindrical grain storage barrel with a volume of 3. 14 cubic meter and a barrel depth of 2 meters. Fill this barrel with rice and pile it into a cone with a height of 0.3 meters. What is the volume of rice in this grain storage barrel? (Keep two decimal places)

3. Saw a 2-meter-long cylindrical wood with a cross-sectional radius of 10 cm vertically into two equal parts along the cross-sectional diameter. What is the volume and surface area of each block?

4. A rectangular piece of land with a circumference of 48 meters and an aspect ratio of 5: 3. How many square meters is the area of this rectangular land?

(There is a problem with the reverse side)

5. How many square decimeters does it take to make a cylindrical oil drum with a bottom diameter of 4 decimeters and a height of 4 decimeters? (Keep one decimal place) If the weight of each liter of oil is 0.8kg, how many kilograms can this oil drum hold? (Keep the whole kilogram).

6. Two steel bars with the same length, one of which took 12 minutes to saw into three sections, and the other one needs to be sawed into six sections. How many minutes will it take? (solved by proportional method)

7. Master Liu has to process a batch of parts, 40 pieces per hour, which can be completed in 3 hours. If the task is to be completed half an hour in advance, how much will the work efficiency be improved? (solved by proportional method)

8. There are two containers AB. As shown in the figure, A is filled with water first, and then poured into B. What is the depth of water in B?

Think about the problem. (10)

In April (30 days), a factory plans to produce a batch of parts, with an average of 400 pieces per day to complete the task. In fact, 3000 pieces were produced in the first six days. According to this calculation, how many days will it take to complete the original planned task? (Using positive and inverse proportional solutions, respectively)

References:

The simulation questions sent by the teacher, I hope to help you.