Fill in the blanks first (1 point per grid, *** 19 points)
1. Rewrite () into a tree with the unit of "10,000", which is 98,093,500. This number is written as (), and the mantissa after omitting "billion" is about ().
2. When 2m330dm3=( )m3 2: 20 = ()
3. Starting from the origin on the number axis, a point moves four unit lengths to the right and then nine unit lengths to the left. At this point, the number corresponding to this point is ().
4、 10:( )=62.5%= 15:( )= =( )÷ 1.6
5. The lengths of two adjacent sides of parallelogram are 3.5cm and 5.4cm respectively, and the height of one side is 4cm. The area of this parallelogram is ().
6. A math contest, 20 questions * * *, 5 points for each correct question. 3 points will be deducted for each mistake or omission. Xiaoli got 76 points in the final exam, and he got a question right ().
7. The purchase price of a garment is 120 yuan. If it is sold at a 20% discount, 80 yuan will make a profit. The price of this dress is () yuan.
8. Two bags of rice * * * weigh 220kg, one bag of rice eats 12kg and the other bag eats 13kg, and the mass ratio of the remaining rice in the two bags is 5:8. It turns out that the first bag of rice has () kilograms and the second bag of rice has () kilograms.
9. In a meeting, Party A, Party B, Party C and Party D sat in chairs 1, 2, 3 and 4 respectively. Someone said, "B sits next to C, A sits between B and C, and B doesn't sit in chair No.2." It is known that everything the man said is wrong. D is sitting in a chair ().
10, the three sides are 6 cm, 8 cm respectively,
10 cm right triangle, its shortest side
Fold it in half so that it coincides with the hypotenuse (as shown in the figure). So, think about it
The shaded area is () square centimeters.
1 1. The license plate of a car is ○□△5 (four digits). If known ○ +□ =□, ○+□+5 = 25, △ +△ = ○, then his license plate is ().
12, there are 10 parts, one of which is defective (the defective product is heavier). Weigh with the balance at least () times, and you can ensure that the defective products are found.
Second, multiple choice questions. (2 points for each question, *** 10)
1, a deck of 54 playing cards, at least (), to ensure that at least two of them have the same points.
15
2. As shown in the figure, put a cylindrical wooden block.
Cut into two opposite conical objects, which
The bottom area is equal to the bottom area of the cylinder, and each
The height of a cone is half that of a cylinder, so each
The ratio of the volume of the cone to the volume of the cylinder is ()
a、 1:3 B、2:3 C、 1:6 D、 1:2
3. As shown on the right, the areas of the two shaded parts are as follows
S2 S2 s 1-s 1 = 3, then the radius of the sector in the figure is
() centimeters. (π takes 3)
a、4 B、3 C、6 D、5
Xiaoqing is sitting in the third row and the fourth column of the classroom, which is indicated by (4,3). Xiao Ming is sitting on the left of Xiaoqing, which should be expressed as () the new | class | standard | the first net.
a 、( 5、3) B 、( 3、3) C 、( 3、5) D(6、3)
If a piece of wood is 24 meters long, it takes 56 minutes to cut it into 3 meters long pieces. If it is cut into 2-meter-long pieces, it will take () minutes.
a、84 B、96 C、88 D、77
Third, the judge. (65438+ 0 points for each question, ***5 points)
1, 3kg apples are distributed to four children on average, and each child gets apples. ( )
2. As shown in the figure, the area of a circle and the area of a square.
In direct proportion. ( )
3, C=πd, c is constant, π and d are inversely proportional. ( )
4. A commodity is sold at 50% discount, which just breaks the capital. If you don't sell it at a discount, you can get a profit of 5%. ( )
5. One of four consecutive years must be a leap year. ( )
6. As shown in the figure, the perimeters of the two figures are equal, 2a c.
Then a:c=5:6. A c
Fourth, the calculation problem. (***3 1 min)
1, a number written directly. (65438+ 0 point for each small question, ***8 points)
356- 198= - + = : = 6÷40%=
×3÷ ×3= 4÷0.0 1×0. 1= 992+99= + ÷ =
2. Calculate the following questions. (Simplify what can be simplified, 3 points for each small question, *** 12 points)
2.24- 1.57+8.76-5.43 ( + )× 15-45÷49
÷[( - )× ] ( + )× ÷
3. Solve equations or proportions. (3 points for each small question, ***6 points)
X:28%= :0.7 87.5%×(X- )=
4. Find the area of the shaded part. (Unit: cm) (5 points)
six
14
450
Fifth, graphic operation. (The big question is 1 1)
1, and plot as required. (5 points)
(1) In the triangle shown below, 0 point is represented by a number pair as (,); The area of this triangle is () cm2, (each cell represents 1cm2).
(2) Draw the figure B obtained by rotating the figure A 900 counterclockwise around the O point.
(3) Move the figure A to the left by 2 squares, and then move it down by 1 square to draw the figure C..
(4) Take MN as the axis of symmetry, and draw the axisymmetric figure D of Figure A..
2. The picture on the right is the plan of an economic development zone in a city. Take the district government as the observation point, measure, fill in and draw pictures.
(1) The park is () degrees () away from the district government and () meters away.
(2) There is a Heping Road 500 meters south of the district government, which is parallel to Jianshe Road. Please draw the road of peace in the picture.
(3) Xinhua Bookstore is located 50 degrees northeast of the district government, with a distance of 1500m. Please draw the location of Xinhua Bookstore.
Experimental primary school
Construction road
600 district government
0 500m1000m
Sixth, solve the problem.
1, it takes Party A 12 days, Party B 16 days and Party C 24 days to complete a project. First of all, Party B and Party C will cooperate for 4 days, and Party A will complete the other projects alone. How many more days will it take?
2. Experimental primary school graduates go to the infirmary to check their eyesight. On the first day they checked the total, and the next day they checked 180. At this time, the number of students who have been investigated and have not been investigated is 5:3. How many experimental primary school graduates are there?
3. A conical wheat pile with a bottom radius of 2m and a height of1.5m.. If you put these wheat into a cylindrical grain shed, it only takes up the grain shed. It is known that the bottom area of the grain shed is 9 square meters. What is the height of the grain depot?
4. In order to make better use of water resources, a city has formulated the water consumption standard for residents. If the monthly water consumption of a household does not exceed 15 cubic meters (including 15 cubic meters), it will be charged per cubic meter 1.8 yuan; If it exceeds 15 cubic meter, it will be charged according to 2.3 yuan per cubic meter. In addition, the sewage treatment fee is per cubic meter 1 yuan, if a household's water fee is 58.5 yuan in January. How many cubic meters of water does this family use in January?
Final examination questions of the second volume of sixth grade mathematics (Qingdao edition)
First, calculation. (***28☆)
1. Write directly. ( 10☆)
450-60= 2.5×8= 6.7-3.8= 0.8÷2= 3. 14+0.86=
10 1×25= 27 +34 +57 = 12 + 13 = 3- 18 -78 = 35 × × 13 =
2. What can be simplified should be simplified (9☆)
÷[( - )× ] 15.28-3.99-6.0 1 × +27 ÷4
3. Solve the equation or solution ratio. (9☆)
x？ x= 42∶ x∶ 1.4+0.7 x=5.6
Fill in the blanks. (***23☆)
1.20 10 The total construction area of the theme pavilion of Shanghai World Expo is about 1290000000 square meters, and the number on the horizontal line reads (); During the World Expo, * * * received about 73,084,400 tourists, with the number on the horizontal line written as () and the number in units of "ten thousand" as () ten thousand.
2. Cut the 2m-long wire into 5 segments on average, each segment is () meters long, and each segment accounts for () of the total length.
3. 15 = ()% = () 40 = 40: () = () (decimal)
The decimal unit of 4 is (), which is exactly the smallest prime number after removing the decimal unit like ().
6. A city water supply company stipulates that the monthly water consumption of each household is below 5 tons (including 5 tons), and it is charged according to the 3.6 yuan per ton; The water consumption of each household exceeds 5 tons, which is charged according to the 4 yuan per ton. Li Nainai used 8 tons of water in May, and the water fee should be RMB ().
8. floret height1.6m. In the photo, her height is 5 cm. The scale of this photo is ().
9. A cylindrical piece of wood is 1.5 meters long. When sawed into three sections along the cross section, the surface area increased by 12 square decimeter. It turns out that the volume of this piece of wood is () cubic decimeter.
10. A commodity is sold at a 30% discount, which means that the current price is ()% of the original price. If the original price of this commodity is 200 yuan, the current price is () yuan.
1 1. In a singing contest, 10 judges gave Xiaoying scores of 79, 76, 78, 82, 84, 79, 78, 79, 75 and 79 respectively. The median of this set of data is (), and the mode is ().
12.201012.26, Uncle Zhang borrowed 50,000 yuan from the bank to buy a car, with a loan term of 3 years and an annual interest rate of 5.85%. When due, Uncle Zhang should pay interest of RMB ().
13. There are 2 red balls, 3 yellow balls and 1 white balls in the box (except the colors are the same). It is possible to touch a ball casually from the box, and the possibility of touching the ball is the least ().
Sixth, solve the problem. (36☆)
On Sunday, Lele's family drove from Weifang downtown to Qingzhou. It takes 60 kilometers per hour to go there, 1.5 hours to arrive, and 1.2 hours to return. How many kilometers per hour did the car travel on average when it returned?
3. Binding a book, if each page is 500 words, you can arrange 180 pages. How many pages can you save if you arrange 600 words per page instead? (Use proportional solution)
Xiaoming's mother bought a bottle of disinfectant, which contains
Such instructions (see the right). Xiaoming wants to put fruit.
To disinfect, he poured out 5 grams of disinfectant and needed to add water.
How many grams?
5. A cylindrical iron drum with an inner diameter of 4 decimeters at the bottom and a height of 5 decimeters. How many square decimetres does it take to make this iron drum? (Ignored at the interface)
6. Last winter, a school water pipe with an inner diameter of 0.8 decimeter was frozen and cracked, and a lot of water was lost. It is understood that the water flow speed in the water pipe is about 50 meters per minute. Calculate, if the water pipe can't be repaired in 10 minutes, how much water will be wasted?
3. Liaocheng Cao Tian Clothing Company signed a production contract with the Second Experimental Primary School for 2,400 sets of school uniforms, and completed 20% in the first three days. According to this calculation, how many days will it take to complete this task?
4. If a barrel is half a barrel of oil, pour out the oil and there is still 15 kg of oil left. How many kilograms of oil can this barrel hold?
5. Xiaohui reads a book, 20 pages on the first day, 20% more on the second day and 40% on the second day. How many pages are there in this book?
6. A bundle of wires was used, 40 meters more than the others. How long is this bundle of wires?
7. The price of a dress is 200 yuan. If you sell it at 95% price, you can earn 40 yuan; If you sell it at 70%, will you make money or lose money? How much did you make or lose?
8. The price of a microwave oven is 360 yuan, which is lower than the original price. What is the original price?
9. The number of students in grade five is the number of students in grade six. There are 60 fewer students in grade five than in grade six. How many students are there in Grade 5 and Grade 6 respectively?
10. If a color TV set is sold at a reduced price of 10%, it can make a profit of 2 15 yuan. If the sale is reduced by 20%, the loss will be 125 yuan. What's the price of this color TV?
Mathematics Graduation Examination Paper for the Sixth Grade of Primary School (PEP)
Please write your answer on the answer sheet. The answer on the test paper is invalid.
I. Judgment (***6 points)
1. If the number of meters to the east is negative, then the number of meters to the north is positive. …………( ▲ )
2. The ratio of a ratio is 1.5, and the simplest integer ratio of this ratio is 3: 2. ……………………( ▲ )
3. Two ribbons, one for 35 meters and the other for 35 meters, so the rest are all the same length. ……( ▲ )
4. The myopia rate of students in Class 6 (1) is 14%, and that of students in Class 6 (2) is 16%, so there are many students who are nearsighted for six (2) years. ………………………………………………………………………( ▲ )
Forty students in the class did a math problem right and four students did it wrong. The error rate of this question is 10%. ………( ▲ )
6. If ab+5 = 12, A and B are inversely proportional. ……………………………………( ▲ )
Second, the choice (***7 points)
The sum of 1 and three consecutive natural numbers is 57, and their minimum number is (▲).
A.18b.19c.20d. cannot be determined.
2. The welder makes a cylindrical ventilation pipe with a bottom radius of 3 decimeters and a length of 4 decimeters. How many square decimetres of iron sheet do you need at least? Just ask for it (▲).
A. Bottom area B. Surface area C. Volume D. Side area
3. The radius of the great circle is the diameter of the small circle, and the ratio of the area of the small circle to the area of the great circle is (▲).
a . 1:2 b . 2: 1 c . 1:4d . 3:5
4. Among the following items, two quantities are inversely proportional (▲).
A. the perimeter and side length of a square B. the distance is certain, time and speed
C.4x = 5y D. The radius and area of a circle.
5. Li Hong throws a stone at each of the following targets (the four targets are equal in size and equally divided). Which target is she most likely to hit in the shadow? ( ▲ )
A B C D
6. The geometry in figure 1 is (▲) when viewed from the front.
7. The railway between Party A and Party B is 480 kilometers long, and buses and trucks start from both places at the same time, which takes four hours. It is known that the speed of passenger cars is 65 kilometers per hour and that of trucks is x kilometers per hour. The incorrect equation is (▲).
a、65×4+4x=480 B、4x=480-65×4 C、65+x=480÷4 D、65+4 x =480
3. Fill in the blanks (***22 points).
1. There are about 49 million olfactory cells in human beings, and the number that writes (▲) is rewritten as "one" is (▲).
2. 1500 hectares = (▲)3:00 and 15: 00 square kilometers = (▲).
3, 3 ÷ (▲) = (▲): 24 = = 75% = (▲) discount.
The distance between Xiaoming's home and school is 560 meters. Xiao Ming walks from home to school in 7 minutes. Xiaoming walks (▲) every minute and (▲) meters every minute.
5. Prepare a syrup according to the ratio of sugar to water 1: 19, and the sugar content of this syrup is (▲)%; The existing sugar is 50g, and this syrup 1g is prepared.
6. There are x tons of cement on the construction site, and 3.5 tons are used every day, which takes b days. The rest is expressed by formula (▲). If x=50 and B=8, then the rest is (▲) tons.
7. The figure on the right consists of several cubes with side length of 1cm. Count it.
* * * There is a (▲) small cube, which can be seen from the left (▲).
Little Square.
8. Teacher Zhang went to the store and bought three footballs and three volleyballs. It is known that each football is a yuan, which is b yuan more expensive than volleyball. Please use the formula with letters to express the money of three volleyball (▲); 3(2a-b) means (▲).
9. The mason dug a swimming pool 50 meters long, 30 meters wide and 2 meters deep indoors. If the swimming pool is drained so that the water surface is 20 cm away from the edge of the pool, it needs about (▲) cubic meters of water; Lifeguard Xiao Wang needs to walk around the swimming pool 40 times a day. He walks (▲) meters every day.
10. The cutting machine saws a cylindrical marble with a length of 10 decimeter into two short parts, and the surface area is increased by 40 square decimeter. The volume of this kind of wood is (▲) cubic decimeter.
1 1. Sean wants to tie a ribbon on the box according to the picture below, with 25 cm left to tie a bow. The belt Sean needs is (▲) cm long.
Four, calculation (32 points).
1. Write the number directly. (8 points)
37 + 173 = 4. 1 – 0. 13 = 5.2 ÷ 0.04= 0.36×2.5=
+ = 1÷ = ÷ 60% = × 15=
2. Solve the equation. (8 points)
( 1)x- 1.3 = 1.3(2)8.5-5 x = 8(3)x+x = 26(4)= 8:4
3. Calculation of parting (if it is simple, it should be calculated by a simple method, 12 points)
( 1)36 + 64×85 + 15 (2)0.4×9×25 (3)6 1×40% + 38× + 0.4
(4)2475÷45 + 2475÷55 (5)( 15- 14×47 )×82 1 (6) +5.8- +4.2
4. As shown in the figure, the area of the rectangle is equal to the area of the circle, and the radius of the circle is known.
It's 3 centimeters. What is the perimeter and area of the shadow?
V. Operational problems (7 points)
1. Many houses, bridges and sidewalks were destroyed in the earthquake. In order to support the reconstruction of the hardest hit area, the picture shows the preliminary planning scheme designed by the engineering team for the reconstruction of a primary school in the disaster area.
(1) Measure the distance between the garden and the school gate as () cm. The distance between the garden and the school gate is 40 meters. The scale of this picture is ().
(2) The teaching building is 50 northwest of the school gate and 60 meters away from the school gate. Please use "? Draw the location of the teaching building in the picture.
2. The side length of each small square in the picture on the left is
1 decimeter. The position of each vertex of a triangle
The settings are as follows: A (2,2), B (6,6), C.
(2,5).
(1) Draw this triangle.
(2) The area of this triangle is ()
Square decimeter.
(3) Draw this with the seventh column as the symmetry axis.
Axisymmetric figure of triangle.
Six, solve the problem (27 points)
1. In the long history of the earth, 90948 species of birds have been extinct, which is about 10.4 times that of today's birds. How many kinds of birds are there?
2. The borrowing period of library books is 10 days, and the days exceeding 10 days will be charged according to 0.5 yuan per book. Xiaoming borrowed a story book. If he reads five pages a day, it will take 16 days to finish it. Please help him figure out how many pages he needs to read every day before he can return them on time, without paying the delay service fee. (Answer in proportion)
3. An umbrella factory urgently produced a batch of tents to support Sichuan earthquake resistance. On the first day, 20% of the total number of tents were produced, and on the second day, 4,200 tents were produced. How many tents are there in this batch?
4. A batch of goods was transported by car A for 9 times and by car B for 6 times. Now this batch of goods is transported by car A for 3 times and the rest by car B. How many times can it be completed by car B?
5. The length of a cuboid is12cm. If the length is reduced by 4cm (the width and height remain the same), the volume will be reduced by 25 cm3. What is the volume of the original cuboid?
6. Figure ① shows the monthly sales of a comprehensive shopping mall from 1 to May, and Figure ② shows the sales of the clothing department of the shopping mall from 1 to May as a percentage of the total sales of the shopping mall in that month. Look at pictures ① and ② and answer the following questions.
(1) According to the data report of the financial department of the mall, the total sales of the mall from June to May was 46.5438 million yuan, and the sales in April are requested.
(2) What was the sales volume of the clothing department in February?