The sixth grade mathematics graduation examination paper 1.
I. Calculation method: (28%)
1, write the calculation result directly. (8%)
2006-6 19= 8? 20= 7.06-0.06=
2. Calculate with recursive equations, and simplify what can be simplified. ( 14%)
( 1)46? 8- 120? 15 (2)
(3)( 12.5? 8-40)? 0.6 (4)
(5)3.4? 2.77+0.23? 3.4 (6)
3. Solve the equation. (6%)
? - ? = 42∶ ? ∶
Fill in the blanks: (2 points for questions 2 and 3, and the rest 1 point. )(25%)
1, 2006? Five? One? During the Golden Week, a city * * * received 466,700 tourists, and the number of people taking this as a unit was () million; Tourism revenue 1.74 billion yuan, and the mantissa after omitting 1 billion is about () billion yuan.
2. Hours = () hours () minutes 2400 ml = () liters
3、( )%=4? 5 = 24 () = (): 10 = () decimal
4. Cut an 8 cm long iron wire into five equal lengths. Each segment is full-length, and each segment is cm in length.
5, more than 80 meters is () meters, 12 kg is 15 kg ()%.
The ratio of 6 is (), and the ratio of 4: 0.8 to the simplest integer is (): ().
7. The greatest common divisor of12 and 30 is (), and the least common multiple is ().
8. The floret in the photo is 5cm in height, and the actual height is1.6m. The ratio of this photo is ().
9. Uncle Wang received 270 emails from October to June in 2006/KLOC-0, of which the ratio of ordinary mail to email was 2∶7. He received regular mail and e-mail.
10, a project will be completed in 6 days by Party A, 9 days by Party B, and () days by both parties.
1 1. A wire with a length of 12 cm is used to form a rectangle or a square (ignoring the joint), and there are () different enclosing methods (the side length is taken as a whole centimeter). The largest area is () square centimeters.
12, △△□☆★△□☆★△□★ The 30th from the left is (). When △ is (), the other three numbers * * are 18.
13. On a bus, elderly passengers account for about all passengers, students account for about, other young adults account for about, and the number of people on board () is the least. If the number of seats in the car is about the total number of passengers, then if more than one person does not give up his seat, there will be elderly passengers standing.
14, Xiao Ming inserted several bamboo poles with different lengths in the playground, and measured the length of bamboo poles and the corresponding shadow length at the same time, as shown in the following table:
Shadow length (m) 0.5 0.7 0.8 0.91.1.1.5
Bamboo length (m)11.41.61.8 2.23
At this time, Wang Qiang around Xiaoming measured the shadow length of the flagpole as 6 meters, and the actual height of the flagpole can be calculated as () meters.
Multiple choice questions: (Fill the letters before the correct answers in brackets. )(6%)
1. Xiaojun's family lives in a house with an area of 1 10 (). They eat at a table with a desktop area of 90 ().
A. square centimeter b square decimeter c square meter
2. Wang Qiang deposited RMB 65,438+0,000 in the bank with an annual interest rate of 2.25%. After two years, calculate his net interest after paying 20% interest. The formula should be ().
A. 1000？ 2.25%? 2? ( 1-20%)+ 1000
B.[ 1000? 2.25%? ( 1-20%)+ 1000] ? 2
C. 1000？ 2.25%? 2? ( 1-20%)
3. The ratio of the number of girls and boys participating in a math contest is 1∶3, and the average score of this contest is 82 points, including 80 points for boys and () for girls.
A.82, B. 86, C. 87 and D.88
4. Flip a coin three times, with two heads up and 1 tails up. Then, the possibility of the fourth coin flip is ().
A.B. C. D。
5. If 1 cube is represented by □, two cubes are superimposed, and three cubes are superimposed by ■, then the geometry superimposed by seven cubes in the right figure can be drawn as a plane figure from the front ().
A.B. C. D。
True or false: (Is it the correct type in brackets? , wrong number? . )(6%)
The 29th Olympic Games was held in Beijing, China in 2008, on February 29th.
( )
2, the workload is certain, and the completed and unfinished are out of proportion. ? ( )
3. 100 is increased by 20% and then decreased by 20%, and the number obtained is equal to the original number. ? ( )
4. 98 soybeans were used for germination test, all of which germinated. The germination rate is 98%. ? ( )
The sum of two odd numbers is still odd. ( )
6. The volume of a cone is the volume of a cylinder with the same height as its bottom surface. ? ( )
5. Operation questions: (4%)
1. Draw a parallelogram, a triangle and a trapezoid with the same area as the rectangle in the grid diagram below, and then draw the largest circle in the rectangle.
Six, solve the problem: (27%)
1. The primary school of Wuxi International School beautifies the environment and paves the road with colored cement bricks. It needs 3600 square bricks with an area of 4 square decimeters. How many square bricks are there with an area of 9 square decimeters? (4 points)
Xiaogang has a 60-page science and technology book. On the first day, he read the whole book, and the next day, he read 60% of the whole book. How many pages did he read in two days? (4 points)
3、? Six? One? Dongdong bought two series of books, The Mystery of Insect Kingdom and Sea World, to go to 260 yuan that day. The price of the mystery series of the insect kingdom is Sea World. What's the price of Sea World series? (4 points)
4、? Grass? Literature club went to Wuxi Taihu Lake for vacation. The bus started from school and covered the whole journey in an hour. At this time, it is still 4 kilometers away from Taihu Lake in Wuxi. At this speed, how many hours will it take to complete the journey? (4 points)
5, mom's teacup, so put it on the table. (pictured)
(1) How many square centimeters does this teacup occupy on the desktop? (2 points)
(2) Is the decorative belt in the middle of the teacup beautiful? That's what Xiao Ming put on for fear of scalding his mother's hand. The width of this decorative belt is 5 cm. How long will it take at least (Ignored at the joint) (2 points)
(3) What is the volume of this teacup after it is filled with water? (3 points)
6. Teachers and students visited the Natural History Museum on 120 in the sixth grade of a school. The transportation company has two kinds of vehicles to choose from:
(1) The bus is limited to 40 people, and the fare per person is 5 yuan. If the ticket price is full, you can get a 20% discount;
(2) The van is limited to passengers 10, and the fare per person is 6 yuan. If there is a full fare, you can get a 7.5 discount.
According to the above information, please design the most economical car rental scheme for sixth-grade teachers and students and calculate the total rent. (4 points)
Seven, statistics. (4%)
The following is a record of the flight time and altitude of two model aircraft by the model aircraft team during a flight.
1, this plane A flew for () seconds, and B flew for () seconds, and A's flight time was longer than B's. (1.5 points)
2. From the picture, the altitude of plane B 10 second after take-off is () meters, and the two planes are at the same altitude () seconds after take-off, and the height difference between the two planes is the largest about () seconds after take-off. (1.5 points)
3. Tell me about the flight state of aircraft B from 15 seconds to 20 seconds after take-off. ( 1)
The sixth grade mathematics graduation exam book 2.
I. Review of knowledge
1, a number consists of six hundred thousand, five thousand and five tens. This number is written like this.
Rewrite it as "from"? Wan? The work unit is.
2,9: () = ()% = () Fold = () (decimal)
3. Fill in the appropriate number or unit name in brackets.
(1) When the volume of a bottle of Sprite is 2.5 (), (2)25 minutes ().
An egg weighs about 50(3.02) tons = 50(3.02) kilograms.
4. In the math activity class, Li Jun cut a 7 cm long plastic bar into five sections on average to form a regular pentagon, each section accounting for () of the total length, and each section is () cm long.
5. Of the two digits composed of these four digital cards, the prime number is,
Even numbers, including common factor 3 and common multiples of 2 and 5.
6, three decimal places, with? Rounding method? Accurate to 1% is about 4.50, and the maximum value of this three-digit decimal is
At the very least.
7. 10.0 1 1, 100. 1% and these four numbers, the largest number is the sum of two equal numbers.
8. In the picture below, if A and B are directly proportional, then? Yes (), if A and B are inversely proportional, then? Yes ().
A 10?
B 8 12
9. A circus is performing and mini pigs are entering the arena. A pig has more feet than the sum of its nose and tail 12, and there is a pig in the arena.
10, after the circle is converted into a rectangle, the circumference of the rectangle is 6 cm more than the circumference of the circle. The original area of a circle is
Square centimeters.
1 1. What's the size of the shoes? Code? Or? Centimeter? As a unit, the conversion relationship between them is b=2a- 10(b stands for code and a stands for centimeter). According to this relationship, write down the number of yards and centimeters of your shoes.
12, Liu Li wants to help her mother do something on Sunday: boil water for 5 minutes, sweep the floor for 6 minutes, wash clothes with washing machine for 25 minutes, make soy sauce for 5 minutes, and dry clothes for 5 minutes. After reasonable arrangement, it will take her at least 5 minutes to finish these things.
Second, compare carefully.
1, the following festivals belong to the collective abortion is ()
A, Women's Day, National Day B, Tomb-Sweeping Day, Labor Day C, Children's Day, Teacher's Day D, New Year's Day and Army Day.
2, observe the picture below, covered by a towel is ().
a、3 B、6 C、2 D、4
3. Reflect the number of outstanding students in a class's math final exam, and the proportion of good students, passing students and failing students to the total number of students in the class. The math teacher needs to make the result ().
A, statistical table b, bar chart c, line chart d and fan chart
There are four sticks, the lengths of which are 3cm, 4cm, 7cm and 8cm respectively. Choose three sticks from them and make a triangle. A spelling of * * * is ().
A, one B, two C, three D, four.
Xiao Fang has counted the weather for three weeks continuously. According to this statistical result, the following statement is unreasonable ().
It's sunny, cloudy and rainy.
Days 10 5 4 2
It may be cloudy on Monday in the fourth week.
B, the possibility of four kinds of weather on Monday in the fourth week are
Monday in the fourth week is most likely to be sunny.
D Monday in the fourth week is the least likely to rain.
6, a batch of products after inspection, there are 100 qualified, 2 unqualified, qualified rate is ()
a、98.0% B、98% C、98. 1%
Third, be careful.
1, write the calculation result directly.
8? 20= 7.03-0.03= ? = 1-5? 8= ? 4 4=
2.4? 5= 0.42= 0. 1? 0.0 1 =+= 32000+ 1.8 million =
2. Off-mold calculation can be simplified.
63 1-498 3.7? 2.5+2.5? 4.3 5? 32? 1.25 ? ( - )?
3. Solve equations or proportions
50-4X=7.2 X + X = : =X:0. 1
Fourth, practical operation.
1. The side length of each small square in the figure below indicates 1 cm. Please draw the figure as required.
(1) Translate Figure ① by 4 squares to the right.
(2) Rotate the figure ① 90 degrees clockwise around point B. ..
(3) Enlarge Figure ① according to the ratio of 2: 1.
(4) Draw a rectangle with the same area as Figure ①, and draw all the symmetry axes of the rectangle.
2. Complete the following questions in the picture on the right.
(1) Xiaohong started from school and walked 30? Walk 3000 meters in this direction,
Go to the science and technology museum to see the exhibition, and mark the location of the science and technology museum in the picture. Set out from school the next day
45 degrees east-south? Walk 2000 meters in the direction, read books in the library and mark pictures in the picture.
The location of the library.
(2) Draw Yangzhou Road parallel to Nanjing Road through the supermarket.
Five, solve the problem of life
1, only column types are calculated, not calculated.
(1) The school held a summer camp, of which 3 16 were boys, less than girls 120. How many girl students are there? (Equation)
(2) In order to celebrate the opening of the Olympic Games, each class held squadron activities. The students in Class Six (1) have to make some Chinese knots. Originally, they planned to finish 60 lessons every day for four days, but they finished it in three days. How many knots do they actually tie on average every day?
(3) On May 8, 2007, Liu Mengmeng deposited in 200 yuan with the bank for one year, with the interest rate of 3.06%. In May this year 12, Wenchuan earthquake, she decided to donate the principal and interest to the people in the disaster area. How much can Liu Can MengMeng get back after deducting 20% interest tax?
(4) There are 120 hectares of apple trees in Guoxiang Farm, and the area of orange trees is 25% more than that of apple trees. How many hectares of orange trees are there on this farm?
On Arbor Day, the students in Grade 6 planted 60 more trees than the students in Grade 3. The number of trees planted by grade three students is grade six. How many trees have the sixth graders planted?
Wang Fang bought a canned drink. What's on the side? The net content is 320 ml? Measured from the outside of the beverage can, the bottom diameter is 6 cm and the height is 1.2 decimeter. Does this manufacturer cheat consumers?
4. On March 1 day, 2008, China announced a new personal income tax collection standard. Individuals whose monthly income is less than 1600 yuan are not taxed, and those whose monthly income exceeds 1600 yuan are taxed according to the following standards.
Not more than 5% of 500 yuan.
Overtake 500 yuan? 2,000 yuan 10%
More than 2000 yuan? 5000 yuan 15%
Zhang Ming's mother's monthly income is 1800 yuan, and his father's income is 2200 yuan. How much personal income tax should each of them pay?
5. Skillfully calculate the area of the shadow on the right.
6. It's summer vacation. Mom and Dad are going to take Xiaojun by train from Yangzhou on July 6th, travel in Beijing on July 7th 1 1, and return to Yangzhou on July 7th 12. The train fares between Yangzhou and Beijing are as follows:
Hard sleeper 28 1 yuan
Soft sleeper 429 yuan
Their main expenses in Beijing are estimated as follows:]
Accommodation, tickets for local transportation and tourist attractions.
290 yuan daily, 60 yuan daily, 400 yuan per person.
If you take a round-trip hard berth ticket, please help their family calculate the estimated cost.
The sixth grade mathematics graduation exam book 3.
First, the basic knowledge:
(1) Read the questions carefully and you can fill in the blanks correctly. 20% (2 points for each small question)
1.2008? Ten? One? During the Golden Week, a city * * * received 2,459,865 tourists, which was rewritten as () million; Tourism income reached 435 million yuan, and the mantissa after 100 million was () billion.
2. Hours = () hours () minutes 2850ml = () liters.
3.( )%=3? 5 = = (): 10 = () (decimal)
4. Cut a 4cm long iron wire into five sections with the same length. The total length of each section is10cm.
More than 5.80 meters is () meters, and () kilograms is 25% less than 15 kilograms.
The ratio of 6 is (), and the ratio of 4: 0.8 to the simplest integer is (): ().
7. The greatest common divisor of12,24,30 is (), and the least common multiple is ().
8. The floret in the photo is 5cm in height, and the actual height is1.6m. The scale of this photo is ().
9. A project will be completed in 6 days by Party A and 9 days by Party B.. Party A and Party B will cooperate to complete the project within () days.
10. Cut a cylinder with a bottom radius of 25. 12 cm and a height of 14 cm along the diameter direction, and increase the surface area by () square cm.
(2), careful analysis, I believe you will be able to correctly judge .5% (right? , wrong number? )
1. The 29th Olympic Games was held in Beijing, China in 2008, with 29 days left in February of that year. ()
2. The circumference of a semicircle is half that of a circle. ( )
3. Two numbers with common divisor 1 are called prime numbers. ()
4. Made in Li Shifu 100 pieces, with a qualified rate of 95%. If two more qualified parts are manufactured, the qualified rate will reach 97%. ()
5. The volume of a cone is the volume of a cylinder with the same height as its bottom surface. ()
(3), distinguish right from wrong, not careless, choose the correct answer .5%
1, a part is 2m long, and10cm is drawn on a picture, so the scale of this picture is ().
1:50 50: 1 1:5 5: 1
Oh
2. The radius of the circular flower bed is 2.5 meters, and the place 0.5 meters away from the flower bed is surrounded by railings. The total length of the railing is ()
1256cm18.84m 157 decimeter 9.42m.
Oh
3. The ratio of the number of girls to boys in a math competition is 1∶3, and the average score in this competition is 82, including 80 for boys and () for girls.
82 points 86 points 87 points 88 points
Oh
4. After1hour, the angle of the minute hand on the clock face is different from that of the hour hand ().
330? 300? 150? 120?
Oh
The price of a commodity rises by 20% first, and then falls by 20%. Compared with the original price, ().
Improve, reduce, unchanged, uncertain
Oh
Second, the basic skills:
(1) Keeping a serious, careful and peaceful mind is the guarantee of your successful calculation. I believe you can do it. thirty percent
1. Write the calculation result directly. (8%)
( 1) 6. 1-6.0 1= ? 3= - = (2)20? = 0.24? 50= 4? 0.5=
(3) 1.7? 2.3? 1.7? 2.3= 0.25? (4- )= (4) = 0.75? 3 =
2. Calculate with recursive equations, and simplify what can be simplified. ( 12%)
(5)46? 8 ? 120? 15 (6)
(7)( 12.5? 8 ? 40)? 0.6 (8) ? - ? 2
(9)3.4? 0.77+0.34? 2.3 ( 10) + - )?
3. Solve the equation. (4%)
( 1 1)X-X =( 12)0.8∶0.48∶X
4. Formula calculation. (4%)
(13) A number plus 2.8 equals 12.8. Find this number.
What is the sum of 12% plus 1.25 divided by (14) 80?
(2) Operational problems. Find the shadow area. (Blank area is 80 square centimeters) (3 points)
Third, comprehensive application:
Go into life, solve life problems with mathematical knowledge, believe in yourself, I can do it .34%
1, only column types do not need to be answered. (6 points)
① After the Spring Festival in 2005, Xiaoxiao deposited 500 yuan lucky money in the bank for 3 years, with annual interest of 1.8%. How much after-tax interest can he get when it expires?
(2) Naughtily read a 200-page story book. I read 25% of the book in the first week and the book in the second week. How many parts of the book have not been read?
③ There are 24 boys and girls in Class 6 (1). How many students are there in Class Six (1)?
2. It costs 448 yuan for Mr. Chen from the General Affairs Office to buy 28 identical pens in the supermarket. According to this calculation, if Mr. Chen wants to buy 48 pens, will he bring 800 yuan? (This question requires a proportional solution and a correct answer) (4 points)
3. A cylindrical cup, measured from the inside, has a bottom diameter of 6 cm and a height of 20 cm. If the weight of water per cubic centimeter is 1.5 g, how many grams of water can this cup hold at most? (Keep the whole number in the number) (4 points)
4. Is there a commercial street? Longquan? And then what? Does it taste good？ Two restaurants. What is the picture below? Six, one? Children's Day opens at 8 pm. Can you point out which restaurant is crowded according to the chart? (4 points)
Longquan restaurant Jiawei restaurant
6 meters, about 50 people, 4 meters, about 30 people.
8 meters 6 meters
5. The wise old man said to the naughty: Your age and mine add up to 88 years old. Smile and say to naughty: Your age is the age of a wise old man. Naughty said: Do you know how old I am this year? (4 points)
6. Shixin Watch Factory originally planned to produce 1000 watches in 25 days, but actually produced 10 watches more than planned every day. How many days did it actually produce?
7. Class One, Grade Six, went to the artificial lake for a spring outing. The bus started from school and covered the whole journey in an hour. At this time, it is still 4 kilometers away from the artificial lake. At this rate, how many hours will the whole journey take? (4 points)
8. Measure, calculate and draw a picture. (6 points)
① Measure the diameter of the circle below as () cm. When measuring, be accurate to the whole centimeter. (2 points)