First, multiple-choice questions (5 points for each small question *** 20 points)

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

A.this cube is very big. This cuboid is very big.

C. the cylinder is as big as d.

2. The volume and bottom area of the cylinder are equal to the cone, and the height of the cylinder is [] times that of the cone.

3.24 iron cones can be cast into cylinders with equal bottom and equal height: []

A. 12

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

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

Two. Fill in the blanks (2 points for each question 1- 13, 3 points for each question 14- 15, *** 32 points).

1. Use a square iron sheet with a side length of 20 cm to form a cylinder. The side area of this cylinder is ().

2. The circumference of the bottom surface of a straight cylinder is 6.28 decimeter, and its height is 1 decimeter. Its horizontal area is () square decimeter and its volume is () cubic decimeter.

3. The diameter and height of the cylinder bottom are both 0.6m, and its volume is () cubic decimeter.

4. The volume difference between a cone with equal base and equal height and a cylinder is 12 cubic centimeter, and the volume of the cone is ().

5. A cylindrical lead block can be cast into () conical parts with the same bottom and the same height.

6. Make a cylinder with a side area of 9.42 square centimeters, a height of 3 centimeters and a bottom radius of ().

7. The volume of the cone is 2 cubic meters, the height is 4 decimeters, and the bottom area is ().

8. Cylinders and cones are equal in volume and height. The bottom area of a cylinder is 18 cm2, and the bottom area of a cone is () cm2.

9. The bottom area and height of a cylinder and a cone are equal. Given that the volume of a cone is 7.8 cubic meters, the volume of a cylinder is ().

10. The volume of a cone is 76 cubic meters, the bottom area is 19 square meters, and the height of this cone is ().

1 1. Cut a 6 cm high cylinder into the largest cone. The volume of this cone is 9.42 cubic centimeters, and its bottom area is ().

12. The volume of one cone is 62.4 cubic centimeters, which is four times that of the other cone. If the height of another cone is 2.5 cm, then the bottom area of this cone is ().

13.

14. Cut a cylinder into a cone with the same base and height, and the cut part is ()% of the cone.

15. Cylinders and cones with equal bottoms and equal heights, where the volume of the cone is 126 cubic centimeters, and the sum of the volumes of these two objects is ().

Iii. Application questions (1-2, 5 points each, item 3, 6 points, items 4-7, 8 points each, *** 48 points)

1. Find the volume. (Unit: decimeter)

2. Find the volume of the hollow cylinder (unit: cm)

3. A cone-shaped sand pile, its bottom circumference is 3 1.4m, its height is 3m, and its sand weight per square meter is1.8t. How many times can a car with a load of 4.5t carry it? (Keep integers in numbers) (5 points)

4. A circular pool, with an inner diameter of10m and a depth of 2m, is equipped with five identical water inlet pipes, each of which can inject 7.85m3 of water per hour. How many hours does it take for five pipes to open together to fill the pool?

5. A conical rice pile, with a bottom circumference of 12.56m and a height of 1.5m, put this pile of rice into a cylindrical granary and it is just full. The bottom diameter of this granary is 2m. How high is it?

6. The cuboid iron block with a length of 9 cm, a width of 7 cm and a height of 3 cm and the cuboid iron block with a side length of 5 cm are fused and cast into a cylinder. The diameter of the bottom of the cylinder is 20 cm, and the height is how many cm?

7. 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?

Percent unit test questions

Name, class number

fill (up) a vacancy

1、0.6=( )% 2.08=( )% =( )%

12.5%= () (fill in decimals) 0.2 = () (fill in fractions) ()%

2. Girls whose boys are girls in a class account for ()% of the class.

3. 12 is ()% of 15 and ()% more than 12.

4. 200 seedlings were planted and 6 trees died. The survival rate of these seedlings is ()%.

5. The actual annual output value of a factory this year exceeded the original plan 18%, and the plan was actually completed ()%; This year, it was originally planned to complete 2 million yuan, and this year, the actual output value was () million yuan.

6. After a 10% discount, a dress is cheaper in 45 yuan. The original price of this dress is () yuan.

7. The volume decreases 10% after freezing into water, and increases () after freezing into water.

8. The side length of the square is increased by 10%, and the area is increased by ()%.

9 The telephone penetration rate in happy communities is 80%. After investigation, there are 28 households without telephones, and there are * * * () households in the happy community.

10, deposit 5000 yuan in the bank for two years, with an annual interest rate of 2.25%, and you can get interest () yuan at maturity.

Second, judgment.

1, after the percentage component number, all are true scores. ( )

2. Using 100 kg wheat to grind 85 kg flour, the flour yield of this batch of wheat is 85% kg. ( )

3.A is 20% less than B, and B is 25% more than A.. ( )

4. Rice can be written as 37% rice. ( )

For a commodity, the price is increased by 20% first and then reduced by 20%, and the current price is equal to the original price. ( )

Choose the correct serial number and fill in the brackets.

1. Dissolve15kg of salt in100g of water, and the salt content of the brine is ().

A, 15% B, about 13.3% C, about 16.7%.

2. The current price of a product is 35 yuan, which is 5 yuan lower than the original price. The correct formula for reducing percentage is ().

a、5÷ 35 B、5 \35+5 C、5 \35-5

3, kg is equivalent to kg ()

A, 1 times b, c, kg

4, there are 500 phones, sell 20%, and then increase the price by 20%. At this time, the phone has been ().

A, 480 sets of B, 500 sets of C, 520 sets.

First, calculation. (3 points for each small question, 8 points for the fourth question, and the writing process is required)

1、 1.25× 17.6+36. 1÷0.8+2.63× 12.5 2、7.5×2.3+ 1.9×2.5

3、 1999+999×999

4. Fill in the appropriate number in □. (2 points for each question, 8 points)

( 1) ×( ÷ - )= (2)[( ×9-2)× - 16]÷ =20

(3)( - )÷( 1+ )= 1 (4) + = ×( 1- × )

5、 6、

Fill in the blanks (3 points for each small question, 30 points for * * *)

1 Class and Class 6 (1) The ratio of boys to girls is 8: 7.

(1) The number of girls is the number of boys; (2) Boys account for the whole class;

(3) Girls account for the whole class; (4) There are 45 students in the class, and there are () boys.

2. The ratio of A to B is 7: 3, that of B to C is 6: 5, that of C is A, and that of A to C is (): ().

The reciprocal of 3.0.08 is () and the reciprocal of 2.25 is ().

4, a wire is 3 meters long, and there are () meters left after cutting; A wire is 3 meters long, and there are () meters left after cutting off the meters.

5. Party A and Party B work together, with Party A doing part of the work and Party B doing all the work.

6, square and circle with equal perimeter, () the area is large.

7、( )÷40= 15:( )= =0.625=( )%

8, 0.38, 0.37%, 0.373 in descending order is ().

9. 4m is ()% of 5m %, 5m is greater than 4m ()%, and 4m is less than 5m ()%.

10, use a rectangular piece of paper with a length of 5cm and a width of 4cm to cut out the largest circle, and the area of this circle accounts for ()% of the paper area.

Iii. Graphic calculation (* *17)

1. What is the circumference of the picture below? What is the simplest calculation method? (5 points)

2. The radius of the circular tower bottom of TV Tower is15m, and now a circular lawn with a width of 5m should be planted around it. (pictured) (6 points)

(1) How many square meters of lawn do you need?

(2) If 500 yuan is needed per square meter of lawn, how much does it cost to plant this lawn at least?

It is known that the square in the figure has an area of 20 square centimeters. Find the area of the shaded part. (6 points)

Four, application problems (6 points for each small question, 30 points)

1, the ball falls freely from a height, and the height of the rebound after each contact with the ground is the height of the previous fall. If the ball falls from a height of 25 meters, what is the height of the third rebound?

On a piece of land of 20 hectares, use it to grow wheat, and the rest to grow soybeans and corn. The hectare ratio of soybean and corn is 3: 5. How many hectares of soybeans and corn are planted?

Students take part in camping activities. A classmate went to the teacher in charge of logistics to get a bowl. The teacher asked him how much money he had taken. He said he took 55, and then asked, "How many people eat?" He said, "One person's rice bowl, two people's vegetable bowls and three people's soup bowls." How many people does this classmate bring bowls to?

4. There are 200 students in grade five or six in a school. On Children's Day, there are 1 1 students in grade five, and 25% students in grade six go to the city to participate in the celebration. At this time, the remaining students in the two grades are equal. How many students are there in the sixth grade?

5. build a road. On the first day, the whole road was built, and the rest was built the next day. In two days, the road was completed 135 meters. What is the total length of this road?