Sixth grade examination papers and calculation questions

Fill in the blanks. 1.2030kg = () tons = () tons () kilograms. 2.567000 If the number written in () is rewritten as "10,000", it means () 10,000. 4.3 ÷ 5 () = 15% = (): 40 is item (). 7. The sum of the numbers A and B is 136. Moving the decimal point of the number A to the left is equal to B * 8. The ratio of the base to the height of an isosceles triangle is 8: 3. Cut along the height of the base to form a rectangle. The area of a rectangle is 192 square centimeters, and the circumference of a rectangle is () centimeters. 9. The two digits with the greatest common divisor of 9 and the smallest common multiple of 360 are () and () respectively. 10. A two-digit number divided by 7 has the same quotient and remainder. The minimum value of this two-digit number is (), and the maximum value is (). Second, choose the correct answer and fill in (). 1.A number is 20% more than b number, and b number is less than a number () (1) 20% (3) 30% 2. The height of a right triangle is _ _ _ _ _ _ _ () (1)1(2) The simplest integer ratio of the height of a cone to a cylinder is () (1) 8: 5 (2)12: 5 (3). Xiao Wang, Xiao Li and Xiao Zhang each produce 120 identical machine parts at the same time. () (1)48 (2)40 (3)20 Third, judge the following questions, correctly draw "√" in (), and wrongly draw "×". 1. The unit price is fixed, and the quantity is directly proportional to the total price. () 2. All integers have reciprocal. () () () 5. On a map with the scale of 1: 200000, the distance between A and B is measured as b cm, and the actual distance between A and B is 2b km. () The price of 6.25 yuan fell by 20% at first, and then rose by 20%. Now the price is 96% of the original price. () Fourth, solve the equation. 5. Calculate the following questions as simply as possible. 1.36.8-44.08 ÷ 5.8 VI. Formula calculation. Seven, answer the following basic application questions. 1. A washing and dyeing factory planned to use 400 tons of water in the first half of the year, but actually used 388 tons of water, which percentage was saved? 2. Master Liu produced a batch of parts and produced 128 parts in four days. At this rate, how many days will it take to produce 224 parts? 3.62 classes are more than 6 1 class 12.5%, and 62 classes have 45 students. 6 1 How many students are there in Class 62? 4. Party A, Party B and Party C jointly complete a project, and it takes 10 days for Party B to complete it alone, which is just finished. What is the proportion of projects completed by group A and group B? How many projects has C completed? Eight, comprehensive use of knowledge to solve the following practical problems. 1. As shown in the figure, the area of the parallelogram is 28 square meters. Find the area of the shadow. 2. Cut a rectangular cardboard with a length of 50 cm and a width of 40 cm into squares with a side length of 1 cm from four corners to make a carton. What is the volume of this carton? What is the surface area? 3. The following is the sales statistics chart of Shi Yu Store from September 1999 to February 19. Answer the following questions according to this chart. (1) What is this statistical chart? (2) What is the sales volume of this store1February? (3) What percentage has11month increased compared with1month? (4) What is the average sales volume in these four months? * 4. Two cars, A and B, leave relatively at the same time. Four hours later, car A traveled 80% of the whole journey, and car B exceeded the midpoint 13 km. As we all know, car A travels 3 kilometers more than car B every hour. How many kilometers is it between a and b cities? Refer to Answer 3, 1. √ 2. × 3. × 4. √ 5. √ 6. √ 7,1.(400-388) ÷ 400 = 0.03 = 3% 2. Solve by the proportional method. Solution: Suppose it takes X days. Answer in a normalized way. 224÷( 128÷4)=7 (days) 3.45-45÷ (1+12.5%) = 5 (people) 8,1.28. =1.824l50× 40-/kloc-0 /×/kloc-0 /× 4 =1996 (square centimeter) 3. (1) broken line statistics (2) 200,000 yuan (3) (18)

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Class name, student number score

First, fill in the blanks. 18%

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

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?

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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)

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Unit 1 Test Paper Volume A

First, fill in the blanks. (2 points for each question, ***20 points)

1, 105 square decimeter = () square meter 0.06 cubic decimeter = () milliliter

2. Expand the edge of the cylinder to get a rectangle, whose length is equal to () and width is equal to () of the cylinder, so the lateral area of the cylinder is = () ×).

3. The volume of the cylinder is 75 cubic centimeters, the height is 15 centimeters, and the bottom area is () square centimeters.

4. The diameter and height of the bottom of the cylinder are 4cm, and its volume is () cubic centimeters. The volume of the cone with the same height as the bottom is () cubic centimeters.

5. Cut a cylindrical wood into the largest cone, and the volume of the cut part is 16 cubic decimeter, so the volume of this cone is () cubic decimeter.

6. When the radius of the bottom surface of the cylinder is enlarged by 3 times and the height remains unchanged, the perimeter of the bottom surface is enlarged by () times and the volume is enlarged by () times.

7. The height of cylinder and cone is equal, the volume of cone is 9 cubic decimeter, and the volume of cylinder is () cubic decimeter.

8. Cylinders and cones have the same bottom area and the same volume. It is known that the height of a cone is 3.6 decimeters and the height of a cylinder is () decimeters.

9.252.5 square meters is about () square meters and 100 square meters is about () square meters.

10, a 3-meter-long wood is cut into four sections (each section is still cylindrical), and the surface area is increased by 30.48 square decimeter. The volume of this cylindrical wood is () cubic decimeter.

Second, the judgment question. (Put "√" in brackets for the right and "×" for the wrong) (2 points for each question, *** 12 points)

1, and the volume is generally large in specific surface area. ( )

2. The iron wire is cylindrical. ( )

3. Two cylinders with equal bottom areas have equal volumes. ( )

The volume of a cone is always the volume of a cylinder. ( )

5. To find the cylindrical product is to find the volume of this cylindrical container. ( )

6. Cut a cylinder into three small cylinders on average, so the surface area of each small cylinder must be the surface area of the original cylinder. ( )

Third, multiple choice questions. (Fill in the serial number of the correct answer in brackets) (2 points for each question, *** 10)

1, what changes after a big cylinder is divided into two small cylinders is ().

A, the volume b of the cylinder, the surface area c of the cylinder, and the side area of the cylinder.

2. How much road surface can the front wheel of the roller press once a week refers to ()

A, the volume b of the front wheel, the surface area c of the front wheel and the side area of the front wheel.

3. The base area and height of a cuboid and a cone are equal respectively, and the cuboid volume is () of the cone volume.

A, 3 b, 3 c, not sure.

4. The volume of the cone is 3 1.4 cubic decimeter, the diameter of the bottom surface is 2 decimeter, and the height is () decimeter.

a、 10 B、30 C、60

5. Among the following three objects with equal base and equal height, the smallest one is ().

A, cube b, cylinder c, cone

Fourth, column calculation. (6 points for each question, *** 12 points)

1. As we all know, the diameter of the bottom of a cylinder is 4 decimeters, and the height is 5 times the diameter. Find its volume.

2. It is known that the circumference of the cone bottom is 25.12cm and the height is 30cm. Find its volume.

Fifth, solve the problem. (8 points for the second question, 7 points for the other party, and 36 points for * * *)

1, Master Wang made 10 sections of cylindrical ventilation pipes with the same size, each section is 8 decimeters long and the bottom radius is 5 centimeters. How many square meters of iron sheet does a * * need? (The number shall be kept to one decimal place)

2. The bottom surface of the cylindrical reservoir has an inner diameter of 2m and a depth of 2m. The inner wall and bottom surface of the reservoir are coated with cement. What is the area of plastering part? What is the volume of this reservoir?

3. The cone-shaped sand pile has a volume of 47. 1 m3 and a height of 5m. How many square meters is this sand pile?

4. Rotate at right angles around an isosceles triangle (as shown below) to get a three-dimensional figure. What is the volume of this three-dimensional figure? (Figures shall be kept to two decimal places)

5. A cylinder with a bottom radius of 0.2 meters and a height of 35 decimeters, how many square decimeters is its lateral area?

Sixth, operational issues. (10)

Below is a side view of a cylinder. Please measure the relevant data and calculate the volume of the cylinder.

(take the approximate value of 3)

Unit 1 Test Paper Part Answer:

I. 1, 1.05 60

2, high bottom circumference, high bottom circumference

3、5 4、 16 5、8 6、3 9 7、27 8、 1.2

9、253 300 10、 152.4

Second, XXX XXX XXX.

Third, 1, B 2, C 3, A 4, B 5, c

4. 1, 3.14× ()× (4× 5) = 251.2 (cubic decimeter)