School name score
Fill in the blanks. (2 points for each question, ***20 points)
1, a number consists of 400 million, 56 million and 3007 tens. This number is pronounced (), and the mantissa after omitting hundreds of millions of digits is about ().
2、9:6= =( )÷42= =( )%。
3. 3.2 hours = () hours () 8 tons and 70 kilograms = () tons.
0.85 cubic decimeter = () liter = () ml
4. Move the decimal point of a number one place to the right and then two places to the left, and the obtained number is ()% of the original number.
5. Both A and B are non-zero natural numbers, and A is equal to 40% of B, so () is large, and the ratio of A to B is ().
6. The average score of Xiao Ming's first three math exams is 90, and the average score of the fourth math exam is 98. The average score of his four exams is ().
7. The length-width ratio of the rectangle is 3:2, the circumference is 60 cm, and the area is ().
There are 48 students in class 8.6 (1) today, 1 is sick, 1 is on leave. The attendance rate of Class Six (1) today is ().
9. Arrange 0,-,-and 0.25 in descending order ().
10. In a proportion, the product of two external terms is 1, one internal term is 10, and the other internal term is ().
Second, judge. (Mark "√" for the right and "×" for the wrong, 5 points)
1. Master Wang made 102 pieces, of which 100 pieces were qualified, and the qualified rate was 100%. ( )
2. If 253 is divisible by 3, at least add 5. ( )
3. The smaller the denominator, the smaller the decimal unit. ( )
4. If the number of A equals the number of B, the ratio of A to B is 2:3. ( )
5. If there are five Saturdays and Sundays in April, then April 1 should be Saturday. ( )
Third, multiple choice questions. (Fill the letter before the correct answer in brackets, 5 points)
1, rectangles, squares and circles with equal perimeters, in which () has the smallest area.
A, rectangle b, square c, circle
2. A pesticide, the liquid medicine accounts for 20% of the liquid medicine, and the ratio of Chinese medicine to water in this pesticide is ().
a、 1:5 B、 1:3 C、 1:4
3, a number divided by a, quotient 3 remainder 1, this number is ()
a、3a+ 1 B、3a- 1 C 、( a- 1)÷3
4, a is a number greater than 0, the following calculation results are greater than a ().
a、a \b、a× C、a \u 1
5. Wang Qiang deposited RMB 65,438+0,000 in the bank with an annual interest rate of 4.68% and a term of one year. After one year, he pays 5% interest, which is calculated after tax.
The formula for the interest earned should be ().
a、 1000×4.68%×( 1-5%)+ 1000
b、 1000×4.68%×5%
c、 1000×4.68%×( 1-5%)
Fourth, calculation. (***38 points)
1, a number written directly. (5 points)
- ×0 = - × = 4.88÷0.7≈ ÷ = 3 ×0+0.7=
8- ÷6= 1- 1%= 3.2 hours -50 minutes = 0.4: = 6.3 meters: 900 cm =
2. Calculation can be simplified. (12)
( 1)[ ÷( + )]- (2)( 1÷ + ÷ 1)÷
(3)( + )×29×23 (4)2.6×35 + 64× + 2.6
3. Seek the unknown value. (9 points)
①0.8× -2ⅹ=0 ② (ⅹ-7)÷5= 14 ③ 4: = ⅹ:
4. Column calculation. (9 points)
(1) 40% of a number is less than the largest two digits 1. Find this number.
(2) What are the quotient of addition and division, sum, multiplication and product?
(3) The difference between 24 and 2 is equal to 40% of a number. What's this number?
Fifth, the operation problem. (6 points)
The bottom radius of the cylinder is 0.5 cm and the height is 2 cm. Draw its side expansion diagram, mark the data and find out the area of the expansion diagram.
Sixth, the use of questions. (***26 points)
1.In the 2008 Beijing Olympic Games, China won 5/kloc-0 gold medals, three times more than Germany. How many gold medals did Germany win? (4 points)
2. An expedition climbed the mountain, and it took five hours to climb the mountain, with an average of 2 kilometers per hour, and went back the same way.
It only took three hours, which is the average speed of the expedition going up and down the mountain. (4 points)
3. A road construction team paved a road. It is planned to pave 1.6 kilometers every day, and it will be completed in 30 days. Actually, it will pave 3 kilometers every day.
How many days can it actually be completed? (Proportional solution) (4 points)
4. Conical sand pile with a bottom area of 12.56 square meters and a height of 0.9 meters. Spread this pile of sand to a length of 4.5 meters.
How thick can a 2-meter wide bunker be laid?
Xiao Qiang bought 24 8-cent stamps from 2 yuan and spent them in 30 yuan. He bought these two stamps separately.
How many pieces did you win? (5 points)
6. A cylindrical tin bucket without cover, with a height of 8dm and a larger diameter at the bottom. How much does it cost to make this bucket?
Tin? (5 points)
Jiuzhuang Primary School's Simulation Test Paper for the Sixth Grade Mathematics Final Exam in the Next Term of the 2008-2009 School Year (V)
School name score
First, fill in the blanks. (2 points for each question, ***20 points)
1, 890000005 is pronounced as () and rewritten as () in units of hundreds of millions, and the mantissa after omitting hundreds of millions is about ().
2, 3 meters 50 centimeters = () meters 4.03 kilograms = () kilograms () grams.
0.9 cubic meters = () cubic centimeters
There are 52 students in class 3.6 (1). The two of them are sick today, and the attendance rate is ().
Master Wang processes 50 parts a day, and the qualified rate is 98%, and there are () qualified parts.
4. The ratio of number A to number B is 7:3, the quotient of number B divided by number A is (), and number A accounts for ()% of the sum of the two numbers.
5. Divide the 3-meter-long line segment into 5 segments on average, each segment is () meters, and 3 segments account for () of the total length.
6. Draw a line segment on the map with the scale of 0 30 60 90 km and write it in digital scale.
The form is (). On this map, the distance from Ningbo to Shanghai is 12 cm, and the actual distance from Ningbo to Shanghai is () km.
7. A cylindrical piece of wood, 1.5m long, sawed into two parts along the bottom diameter, with an average surface area of 600 square centimeters. The volume of this kind of wood is () cubic centimeters.
8. Expand one side of the cylinder to get a square. Given that the circumference of a square is 50.24 cm, the surface area of a cylinder is () square meters.
9, 2: 5 = = ()% = () Fill in decimal places.
10, my mother deposited 20,000 yuan in the bank for a fixed period of one year with an annual interest rate of 3%. The interest tax is 5%. A year later, my mother withdrew money from the bank.
Second, the judgment question. (65438+ 0 points for each question, ***5 points)
1 is a circle with a radius of 2 cm, and its perimeter is equal to its area. ( )
2. A piece of wood is meters long and can also be written as 85% meters. ( )
3. The highest oil yield of peanut can reach 100%. ( )
4. From school to the cinema, it takes 4 minutes for A and 3 minutes for B, and the distance ratio between A and B per minute is 4: 3. ( )
5. Put red, white, yellow, green 15 balls in a bag, and take at least 5 balls, so as to ensure that you can get two balls of the same color. ( )
Third, multiple choice questions. (65438+ 0 points for each question, ***5 points)
1, 8 is less than 3 16 and 80 is ()
① 13 12 ② 16 12 ③7 ④23
2. There are 6 tons of coal, 50% of which was used for the first time, and tons were used for the second time, leaving () tons.
①5 ②2 ③ 1
3. The number A is a, which is twice smaller than the number B. The formula used to represent the number B is ().
①2a-b ②a÷2+b ③(a+b)÷2
4. In100g of salt water with a salt content of 20%, salt accounts for () of water.
①20% ②80% ③25%
5. In the following figures, the reciprocal is ().
① sum of 4.5 and 5.4 ② sum of 0.6 and 38
Fourth, the calculation problem. (34 points)
1, a number written directly. (4 points)
- = 35× = 5- 1.4- 1.6= ×8+8× =
6.3 ÷10% =+11= ÷ 2 = when: 50 minutes =
2. Calculate with a simple method and write a simple calculation process. (3 points for each question, ***9 points)
( 1)3.89-( + 1.89) (2) 55× 10 1-55 (3) 5 12 ÷ 8 + 18 × 7 12
3. Mixed operation. (3 points for each question, ***9 points)
( 1) × ÷( + ) (2)(5 - 4.2× )÷ (3) 17.98+2.5×0.3- 18
4. Find the unknown number ×. (3 points for each question, ***6 points)
( 1)40:X =:(2)0.75 X+×= 1
5. Column calculation. (3 points for each question, ***6 points)
1 and 2.7 divided by the quotient of 8 1, minus 2 1. What is the difference?
What is the difference between the product and subtraction of 2,25 and its reciprocal?
V. Do the questions as required (12 points)
1, find the shadow area in the isosceles right triangle below. (Unit: cm) (3 points)
2. Draw the largest circle in the rectangle on the right.
Make the combined figure of the drawn circle and rectangle have 2.
An axis of symmetry and draw the axis of symmetry. (3 points)
3. The following is the statistical table of poultry raising in a farm on April 29th, 2008. Please complete the form before answering the following questions. (3 points)
Total species of chickens, ducks and geese
Output (only) 6000 1750 2000
(1) The number of chickens is ()% of that of geese.
(2) The number of ducks is less than that of geese ()%
4. Fill in the blanks according to the statistics and answer the questions.
The automobile output of Qianjin Automobile Factory in June-June last year is as follows:
(1) Make () cars per month on average?
Compared with January, the number of cars produced in June increased by ()%?
(3) According to the statistical chart, can you put forward other mathematical information?
Seven, application questions. (***24 points)
1, and the weight of steel per cubic centimeter is 7.8 grams. How many kilograms does the next steel pipe weigh?
(Keep the number to one decimal place) (unit: cm) (4 points)
2. The school bought 24 fewer science and technology books than literature and art books, among which the science and technology books were literature and art books, so I bought them.
How many science and technology books? (4 points)
3. Weave on a loom for 60m in 4 hours. If you knit for 2 hours, how many meters can a * * * knit?
(Proportional solution) (4 points)
There are some chickens and rabbits in the cage. There are 35 heads at the top and 94 feet at the bottom. Chickens and rabbits
How many/much? (4 points)
5. A cylindrical gasoline tank with a bottom diameter of 50 cm and a height of 88 cm. Each liter of gasoline weighs 0.73 kg.
How many kilograms of gasoline can this oil drum hold? (Keep the whole number in the number) (4 points)
6, a book, Xiao Ming read 25% of the book on the first day, read 25 pages the next day, and left 65 pages unread.
? (Add a question and then answer it continuously) (4 points)
Mathematics comprehensive exercises of grade six in Jiuzhuang primary school in 2008-2009 school year (II)
School name
Fill in the blanks. (Per grid 1 minute, ***23 points)
1. The total ocean area of Shanghai is 362 million square kilometers. The number written in ten thousand units is () square kilometers, and the mantissa after omitting 100 million is () square kilometers.
2、()÷32=24∶( )=( )% =
3. Given that 4X=3Y (neither x nor y is 0), then x: y = (:), and x and y are in direct proportion ().
Xiao Ming's family has 10 Jin of apples, and he plans to finish them in 20 days. On average, he eats () kilograms of these apples every day and () kilograms every two days.
5, Xiaohua has a yuan, buy three ballpoint pens, each B yuan, and there is still () yuan left. If a= 10 and b=2.7, there is () yuan left.
6. Numbers A and 12 are known to be prime numbers. Their greatest common factor is () and their least common multiple is ().
7. A shop has a kind of clothes. After 15% discount, the price is 142.5 yuan. The original price of this kind of clothes is () yuan.
8, 2.06L=( )ml 2.8 hours = () when () points.
9, more than 80 meters is () meters, 12kg is 15kg ()%.
10, both numbers A and B are non-zero natural numbers, and the number A is equal to 40% of the number B, so () is large, and the ratio of the two numbers A and B is ().
1 1. There are 10 red, white and blue balls in a bag. At least () balls can be taken out to ensure that all three balls are the same color.
12, a triangle with a base length of 5 cm and a height of 3 cm, enlarged by 4: 1, and the graphic area obtained is () square cm.
Second, judge. Mark "√" in the right picture and "×" in the wrong question. (***5 points)
1. If the vertex of an isosceles triangle is acute, then the triangle must be acute. ( )
2. Three decimal places A are accurate to one hundredth of 8.60, so A is 8.599 at most. The 29th Olympic Games was held in Beijing last year, with 90 days in the first quarter of last year. ( )
4. A wire is 240cm long and welded into a rectangular frame. The ratio of length, width and height is 3: 2: 1, and the volume is 6000 cubic centimeters. ( )
5. Two cylinders with equal side areas must have the same surface area. ( )
Three, multiple choice questions (***5 points)
1. Draw the largest triangle in the rectangle, and the area of the rectangle is the triangle area ();
A.half B.2 times c cannot be determined.
2, the following questions, is inversely proportional to the ():
A. the output per hectare is unchanged, the total output and the number of hectares planted.
B.a rope, an incision and other things.
C. A parallelogram has a certain area, base and height.
Li Hong drew a 400-meter-long runway on the floor plan, and drew 5 centimeters. Li Hong painted this picture.
The scale is ().
a . 400∶ 1 b . 1∶400 c . 1∶8000d . 80∶ 1
4, the following can be converted into a finite decimal is ().
A. BC
5. If Xiaohong is 42 degrees due east of Xiao Qiang, Xiao Qiang is at Xiaohong's () position.
48 degrees south latitude, 48 degrees north latitude and 42 degrees south latitude.
Fourth, calculation. (3 1)
1. Write directly. (4 points)
( )×4= = 7.2÷0.4= × =
6× ÷6× = 3.9×3= 1-0.92= 2+2%=
2. Calculate, what can be simplified should be simplified. (12)
64×3.75+3.75×36 × 13×29
3. Find the unknown X (9 points)
1.5 -0.6× 15= 18 50% + =20
4, column calculation (2 points per question, ***6 points)
(1) The 1.5 times of a number is 6 times of the sum of 3. 1 and 0.5. What's this number?
(2) The number A is less than 80% times 20 of the number B, and the known number A is 40. What is the number b?
Fifth, hands-on operation. (9 points)
1, as shown in the figure, measure and then calculate their actual distance. (4 points)
(1) Please change the scale above to digital scale (). ( 1)
Xiaoming's way to school is () meters long. Xiaoming went to the Children's Palace from school.
This road is () meters long. (2 points)
There is a gymnasium 700 meters due north of the school. Please look at the pictures.
Mark the location of the gymnasium on the map. ( 1)
2, the following is a patient's temperature record line chart, fill in the blanks: (5 points)
(1) The nurse takes the patient's temperature every () hours;
(2) The highest temperature of the patient is () degrees Celsius, and the lowest is () degrees Celsius;
(3) On April 8th 12, his temperature was () degrees Celsius;
(4) Judging from the body temperature, is the patient's condition () (worsening or improving)?
Sixth, solve the problem. (27 points)
1, 650 students in Yucai Primary School, 95% of whom are insured, and those who are not insured are
How many people? (4 points)
It costs 252 yuan to buy 4 desks and 9 chairs at school. As we all know, the price of a chair is exactly
13 a desk, can you find out how much a chair and a desk are? (4 points)
3. The processing team plans to process a batch of parts. If 20 pieces are processed every day, it can be finished in 15 days. Actual 4 days
100 pieces were processed. According to this calculation, how many days can we finish the task? (Proportional solution) (4 points)
The following is uncle Zhang's deposit certificate. How much interest can he actually get when the deposit expires? (5 points)
5. There is a pile of conical rice on the threshing floor, with a bottom diameter of 6m and a height of1.5m. Put this pile of rice into a cylindrical granary with an inner diameter of 60m. How high is the cylindrical granary? (5 points)
6. Xiaoming read a story book. He read the whole book in the first week and in the second week. How many pages does this story book have? (Restatement of Supplementary Conditions) (5 points)
Mathematics comprehensive exercises of grade six in Jiuzhuang primary school in 2008-2009 school year (1)
School name
Fill in the blanks. (per grid 1 min, ***2 1 min)
1. It is estimated that the world population will reach 930 million in 2050; Rewriting the world population in 2050 into "one billion" is () billion.
Xiaoyan exchanged 45 yuan's lucky money for 4.5 euros. The simplest integer ratio of RMB to Euro is (), and the ratio is ().
3. Both Party A and Party B start from place A at the same time. If Party A is 48m south, it will be marked as +48m, while Party B is 32m north, it will be marked as (). At this point, A and B are () meters apart.
4. Full marathon 42. 195km, that is, () km () m. A runner completed the whole marathon in 2 hours 15 minutes, that is, () hours.
5. A number =2×3×5, B number =2×3×3, and the maximum divisor of A number and B number is (). The least common multiple is ().
6. Use S to represent the area of triangle, A and H respectively represent the bottom and height, and the formula for calculating the area of triangle is ().
7. If 7x=8y, then x∶y =()∴ ().
mab……
NCD……
8.m and N are two related quantities, and A, B, C and D (neither of which is 0) are two corresponding values. As shown in the right table:
(1) If a:c=b:d, then m and n are proportional to ();
(2) If a×c=b×d, then m and n are directly proportional to ().
9. The original price of the encyclopedia is a set in 500 yuan, and after 15% discount, each set is RMB ().
10, on the first day of the lunar new year, Xiaodong's mother brought Xiaodong three red, yellow and white coats and two pairs of blue and gray pants. Now she wants to take out a coat and a pair of trousers to make a suit. The possibility of having a red coat is ().
1 1. On a rectangular iron sheet with a length of 6.28 decimeters and a width of 4 decimeters, a circular iron sheet () with a radius of 1 decimeter can be intercepted at most.
12, eight students came together, they shook hands once every two, and asked to shake hands ().
13, the right body consists of a small cube with a length of 1 cm, and its surface
The product is () square centimeters; At least () such small cubes are needed,
Make a cube.
Second, multiple choice questions. (65438+ 0 point for each small question, ***5 points)
1, the following figure belongs to the axisymmetric figure is ().
One, two, three, four, five
2. A watch part is 5 mm long, the length of the design drawing is 10 cm, and the scale of the drawing is ().
a、 1:20 B、20: 1 C、2: 1 D、 1:2
The picture on the right is a cuboid with a length of 3 cm and a width of 2 cm. from this
Dig out a small cube with a side length of 1 cm, and its surface area is ().
A, bigger than the original b, smaller than the original c, constant d, uncertain.
4. Two lines with the same length of 2 meters, cut from the first one and cut from the second one. The rest ().
A, can't be longer than B, the first root is c, the second root is d, and the length is equal.
5. As shown in the figure, Party A gets 1 by touching the white ball, and Party B gets 1 by touching the black ball, which is the fairest.
Third, the judge. (65438+ 0 point for each small question, ***5 points)
1, a batch of products *** 120, of which 100 is qualified, and the qualified rate is 100%. ( )
2, 2, 3, 8, 5, 2, 6, 7, 2, the median of these eight numbers is 3. ( )
The temperature in one day in Beijing is -3℃ to 8℃, and the temperature difference on this day is 5℃. ( )
4. You can't form a triangle with three sticks with lengths of 3cm, 4cm and 7cm respectively. ( )
5.if 1A； 7-b()
Four, the calculation problem (34 points)
1, a number written directly. (0.5 points for each small question, ***4 points)
14÷35= 12 +25 = 0.77+0.33= 45 ×4+4× 14 =
1.4-0.6= 78 × 17 = 5- 1.4- 1.6= 2- 15 -35 =
2. calculation. (3 points for each small question, *** 18 points)
3. 12÷ 1.2- 1.2×0.6 3000÷24+ 103×32 55×66÷( 1 1× 1 1)
1 13 × 12.5×9 10 ×8 58 -( 12 +35 )×5 1 1 123×5.67+8.77×567
3. Find the value of the unknown X. (3 points for each small question, 6 points for * * *)
=:30% x--= 1
4. Column calculation. (6 points)
145 is more than 50% of a number. Find the number. (column equation solution)
2. What is the product of quotient divided by 15 and difference minus 2?
Verb (abbreviation for verb) practice and operation. (2 points for each small question, ***8 points)
1. The following is a plan of a rice experimental field with a scale of 1: 4000. Please:
(1) measurement: its upper bottom is () cm and its lower bottom is () cm. (in centimeters)
(2) Calculation: Its actual area is () hectares.
(3) Drawing: Draw the largest circle in the plan.
(4) Calculation: The area of the circle you draw is () square centimeters.
Sixth, comprehensive application. (27 points)
1. Can the glass below hold this bag of milk? Please tell me the reason. (All data are measured from the inside of the cup) (4 points)
2. Master and apprentice cooperated to produce a batch of parts. The master produces 40 pieces per hour and the apprentice produces 30 pieces per hour. When the task was completed, the apprentice just produced 450 pieces. How many of these parts are there? (Solving with proportional knowledge) (4 points)
When a commodity is sold at a reduced price, the first time it is 15% off the original price, and the second time it is 30% off the original price. The second time is cheaper than the first time, 60 yuan. What is the original price of this commodity? (4 points)
On April 6 1 day, Dongdong bought two series of books, Fairy Tale World and Sea World, and used them in 260 yuan.
The price of a set of fairy tale world series is 58 of that of Ocean World, and the price of a set of Ocean World series.
how much is it? (4 points)
5. The measures for charging electricity in a certain place are: if the monthly electricity consumption is within 200 degrees (including 200 degrees), the electricity fee will be charged according to the degree.
0.457 yuan; If the monthly electricity consumption exceeds 200 kWh, the excess electricity consumption is 0. 10 yuan per kWh. Households in Xiao Qiang use electricity in July.
The situation is as shown in the figure. How much is his electricity bill in July? (5 points)
Mileage cost
3 km and below 8.00 yuan
More than 3 kilometers, one way, each additional 1 km 1.60 yuan.
More than 3 kilometers, round trip, each additional 1 km 1.20 yuan.
6, a city taxi charges are as follows:
(1), Lili takes a taxi from home to grandma's house, * * * pays by herself 17.6 yuan, how many kilometers is it from Lili's house to grandma's house? (3 points)
(2) Mr. Wang went to the Personnel Bureau 6 kilometers away from school to get a document and went back to school immediately. How can he get a better ride experience? How much do I have to pay for taking a taxi? (3 points)