1. A cylinder has () faces. () The areas of two faces are equal, and its sides can be expanded into (). The length and width are () and () respectively.
2. The radius of the bottom surface of the cylinder is 3cm and the height is 5cm. Its bottom area is () cm2, lateral area is () cm2, and its surface area is () cm2. Its volume is ().
3. The diameter of the cone bottom is 20 decimeters, the height is 9 decimeters, and the volume is () cubic decimeters.
4. The distance between Party A and Party B is 20km, and the distance drawn on the map is10cm. The scale of this map is ().
The length of a precision part is 4 mm, and the length drawn on the drawing is 4 cm. The scale of this picture is ().
6. Choose four numbers from 2, 4, 6, 3 and 9 to form the proportional formula ().
7. Just process a cylinder with a volume of 129 cubic centimeter into the largest cone part. The volume of this cone part is () cubic centimeters, and the cut-off volume accounts for () of the cylinder volume.
0 30 60 90120km
8. The () on the scale map indicates the () of the actual distance.
9. Expand the diameter of the cylinder to three times the original height, the bottom area to () times, the side area to () times and the volume to () times.
Second, right or wrong (tick the right one). Wrong "×") 6%
1, and the volume of the cone is equal to 13 of the volume of the cylinder. …………………………………………… ( )
2. The characteristic of broken line statistical chart is that it can not only represent quantity, but also indicate the increase or decrease of quantity. ……( )
3. Only one side of a cylinder can be unfolded into a rectangle. …………………………………………( )
The diameter of a sphere is twice its radius. ………………………………………………( )
The larger the bottom area of a cylinder, the larger its volume. …………………………………………( )
6. The circumference and area of a circle with a radius of 2 decimeters are equal. …………………………………………( )
Third, the calculation problem
1, solution ratio. 9%
X:40 = 2.5:4 1 14:X = 0.4:8 X 3.5 = 40.5
2. Calculate the following questions. 12%
12 ÷ 25 - 23 ×7 10 ( 23 - 34 × 13 )÷ 98 13.8? 79 + 6.2 ? 1 19
4. The following is the output value of the first and second factories of a company from 1999 to 2004: 10%.
Year of output value
(ten thousand yuan)
Branch factory
1999
In 2000,
200 1 year
In 2002
In 2003
In 2004
Branch 300 380 490 550 700 900
The second factory 450 560 620 700 900 1200
Complete the following statistical chart according to the data in the table.
1999-2004 Statistics on the output value of the first and second branch factories of a company.
date month year
Unit: 10,000 yuan for one branch and two branches.
1400
1200
1000
Eight hundred
600
celebrity
200
1999 2000 200 1 2002 2003 2004
5. Calculate the surface area and volume of the following objects. Unit: centimeter. 10%
10 r= 10
20
Sixth, the application problem. 35%
1, the Wangs want to make a cylindrical oil tank. It is known that the diameter of the bottom is 4 decimeters and the height is 5 decimeters. Please help Uncle Wang calculate how many square decimetres of iron sheets are needed at least. What is the volume of this fuel tank? (Ignore the thickness of the iron sheet)
There is a conical wheat pile on the threshing floor. Bottom circumference12.56m and height1.65m.. If each cubic meter of wheat weighs 750 kilograms, how many kilograms is this pile of wheat?
3. The school should make 10 cylindrical ventilation pipes, each section is 120cm long and the bottom radius is 10cm. How many square centimeters of iron sheet should I buy at least? How many square meters?
On the map with the scale of 1: 2500000, the distance from Nanjing to Yangzhou is 3.8 cm. What is the actual distance from Nanjing to Yangzhou?
5. There is a cone-shaped stone with a height of 1.5m and a bottom circumference of 6.28m How many tons does this stone weigh according to the weight of 2.5 tons per cubic meter of stone?
6. School calculation: (1) The distance from the hospital to the shopping mall.
(2) The distance from the school to the children's activity center.
(3) The distance from the school to the hospital.
(4) How far can you ask?
Hospital shopping center
Children's activity center
0 200 400 600 m
Proportion:
7. There is a cylindrical steel with a radius of 4cm at the bottom and a length of 2m. It should be cast into rectangular steel with a cross-sectional area of 4 cm. What is the length of this rectangular steel?
Sixth grade mathematics examination paper one
1. Fill in the blanks: (1 minute per space, counting 15)
1.0.7= =( )∶( )=( )%
2. There are 48 people present in the sixth grade today, and 2 people are absent. The attendance rate is ().
3. 15m is equivalent to ()% of 20m, which is ()% more than 15m.
4. The radius and height of the bottom of the cylinder are 1 decimeter, its side area is (), its surface area is () and its volume is ().
5. If 3α = 4b, then α∶b =()∴ ().
6. On a map, 3cm represents the actual distance of 3600km, and the scale of this map is ().
A and B are 600 kilometers apart, and the distance on this map is () cm.
The order of 7.0.45, 0.4.5% and 0.455 is ()
Second, the judgment (5 points)
1.0 meters is 25% meters.
The price of a commodity is 40% higher first, then 40% lower, and now the price is the same as before.
3. The volume of the cone is constant, and the bottom area is inversely proportional to the height.
4. In proportion, the ratio of the two proportions must be equal.
5.A is 25% more than B, and B is 25% less than A..
Third, choose the serial number of the correct answer and fill in (). (6 points)
1. Dissolve 4g sugar in 100g water, and the ratio of sugar to sugar water is ().
① 1∶25 ② 1∶26 ③ 1∶4%
2. Using 50 seeds for germination test, only 1 seed did not germinate, and the germination rate was ().
①49% ②99% ③98%
3. The composition ratio that can be compared with 0.5: 4.8 is ()
①0.25∶0.24 ②0.75∶7.2 ③ 1∶2.4
4. Subscribe to the number of copies and the amount of the Primary Mathematics Newspaper ().
① Direct ratio ② Inverse ratio ③ Out of proportion.
The volume of a cone is 30 cubic centimeters smaller than that of a cylinder with equal bottom and equal height. The volume of the cone is ().
① 10 cubic centimeter ② 15 cubic centimeter ③90 cubic centimeter.
6. A job can be completed in five hours, but now it can be completed in four hours, and the work efficiency is higher than before ()
①20% ②80% ③25%
Fourth, calculation:
1. Find the ratio (6 points):
1.6∶8= ∶ = 3.9∶2.6=
2. Simplification rate: (6 points)
8 1∶27= ∶ = 1.2∶36%=
3 Solution ratio: (9 points)
x∶2.8 = 3.2∶7 = = x∶7
4. Solving equations: (9 points)
1- 10% X = 0.4 X+25% X = 10 9% X-4.5×0.2 = 1.8
Verb (abbreviation of verb) Solution of comprehensive formula or equation: (8 points)
1.50 is more than 40. What percentage?
2. 35% of a number is 2 larger than 40, so find this number.
VI. Application questions: (36 points, 1, 3 points for each of the 2 questions)
1. There is a batch of clothes in a shopping mall, and 320 sets have been sold, with 80 sets left. What percentage of these clothes have been sold?
2. There are 46 students in one or two classes of senior high school, 28 fewer than those in grade two. How many students are there in Grade Two?
3. The total length of the highway is1200m. Team A completed 48% of the total length, and the rest was completed by team B. How many meters did team B complete?
There is a batch of coal in the freight yard, which transported 20% of the total for the first time, 40% for the second time and 27.6 tons for the second time. How many tons is this batch of coal?
5. A cylindrical tin bucket with no cover, with a height of 4.5 decimeters and a bottom diameter of 4 decimeters. How many square decimetres does it take to make this bucket? (Keep the whole square decimeter)
6. Prepare liquid medicine according to the ratio of medicinal powder to water = 1∶2500. At present,15g powder is prepared into such a liquid medicine. How many kilograms of water do you need? (Use proportional solution)
7. The farm has to plow a piece of land, and it is planned to plow 12 hectares every day, which is just finished in five days. In fact, 15 hectares of land are cultivated every day. How many days did it actually plow? (Use proportional solution)