School: Name:

Fill in the blanks. (20 points)

The greatest common divisor of A and B is 1, and the least common multiple is ().

The ratio of quantity A to quantity B is 2: 5. If the number b subtracts 1, the number a will be ().

3. In an isosceles triangle, the ratio of the degree of top angle to the number of bottom angles is 1: 4, and the degree of top angle is ().

4. The number divided by 6 or 8 is greater than 2, and the minimum number is ().

5. If A = BC (C≠0), then () and () are inversely proportional when () is unchanged; () At a certain moment, () and () are in direct proportion.

6. For triangles and parallelograms with equal areas, if the base of the triangle is three times that of the parallelogram, its height is higher than that of the parallelogram ().

Once a simplest score, plus its score unit is 1, minus its score unit is 34, this simplest score is ().

⒏ Put four cubes with sides of 1 cm into a cuboid. The surface area of this cuboid is () square cm, and the volume is () cubic cm.

(9) The annual interest rate of the three-year national debt is 2.4%. If someone buys the national debt of 1.500 yuan, it will bear the principal of * * * () yuan at maturity.

⒑ The picture on the right shows that Party A, Party B and Party C finish something alone.

Statistics of days required for this project. Please look at the picture and fill in the blanks.

(1) Party A and Party B will do this project for () days.

To finish. (2) Party A will do it for 3 days first, and the rest of the project will be done.

It will take () days to get to C.

2. Judge whether it is true or false (tick "√" for the right and "×" for the wrong) ×”)( 10/0)

1. Grade 6 students planted 9 1 plant in spring, among which 9 plants died, and the survival rate was 9 1%. ( )

The ratio of 2.3/4 :0.6 to the simplest integer is 5/4. ( )

3. Two triangles can be combined into a parallelogram. ( )

When the radius of a circle is doubled, its area is quadrupled. ( )

5. Add 0 or delete 0 at the end of decimal, and the size of decimal will remain unchanged. ( )

18 is a multiple and 6 is a divisor. ( )

The sum of all divisors of any prime number must be greater than itself 1. ( )

⒏ A is 40% more than B, while B is 40% less than A.. ( )

If the length and width of a rectangle increase by 6 meters, the area will increase by 36 square meters. ( )

⒑ If 4A=5B (A neither a nor b is 0), then B/A = 5/4. ( )

Three, multiple-choice questions (the serial number of the correct answer in brackets) (10)

1. Divide 4/5 kg of sugar into 4 portions of 4 kg each ().

①1/5kg ②1/5③1/20④1/20kg.

4. a semicircle with a circumference of l and a radius of ().

①L \2π② 1/2l\π③L \(π+2)④L \(π+ 1)

The original price of a refrigerator is 2400 yuan, and now it is 30% off. What's the current price? The formula is ().

① 2400÷70% ②2400×70% ③2400×( 1-70%)

2. The radius is fixed, and the angle between the sector area and its center ().

① Direct ratio ② Inverse ratio ③ Out of proportion.

5. Nail a parallelogram with four pieces of wood and draw it into a rectangle. Compared with the original parallelogram, the area of this rectangle is ().

① Constant ② Increase ③ Decrease.

Fourth, calculation. (28 points)

1. Find X. (6 points) 25x-13x = 7.25/6: 9/20 =10/9: x.

2. Simplify what can be simplified. (12)

57.6÷[( 1.25+25%)×0.32] 3.5×0.8+5.5×80%+0.8

12×( 1/4 +5/6 -2/3 ) 9/5 -[ 1÷( 3/4 + 1/3 )]× 13/9

3. Formula calculation. (6 points)

A. Divide the difference between 3/5 and 3/20 by the product of 1.25 and 0.8. What is the quotient?

B, 2. 1 multiple of a number is 12 less than 5/8 of 120. Find this number.

4. Find the area of the shaded part in the figure (unit: cm) (4 points)

Fifth, the application problem. (32 points)

1. A construction team digs the foundation, which is 40.5m long, 24m wide and 2m deep. The excavated soil weighs 7 tons per 4 cubic meters on average. If a car with a load of 4.5 tons is used to transport two-thirds of the soil, how many times do you need to transport it?

4. A section of highway construction was originally planned to be completed in 50 days for 120 people. After working for a month (calculated as 30 days), 20 people were transferred to repair other sections. How many days do the remaining staff need to work more than originally planned to complete the task?

3. To make cylindrical oil drums with iron sheets, the bottom radius should be 6 decimeters, and the ratio of height to bottom radius should be 3: 1. How many square decimetres of iron sheet does it take to make an oil drum like 10? (excluding connectors)

Xinhua Bookstore sent a batch of books, which sold 32% on the first day and 45% on the second day. It is known that 640 copies were sold on the first day, and how many copies were sold in two days?

5. A batch of parts can be completed within 12 days after the cooperation between Party A and Party B.. After several days of cooperation, Party B asked for leave, and only completed 3/65,438+00 of the total task. A went on doing it, and it took 14 days from the beginning to the completion of the task. B how many days did you walk?

The two trains leave from Party A and Party B at the same time and meet at a distance of 48 kilometers from the midpoint four hours later. It is known that the speed of the local train is 5/7 of that of the express train. What's the speed of the express train and the local train? How many kilometers is it between A and B?

Once, a batch of parts were produced, which was used by the master for 9 days and the apprentice for 15 days. When the master and the apprentice finished together, the master made 100 more parts than the apprentice. How many parts are there in this batch?

There are 65,438+0,800 students in the middle school affiliated to Tsinghua University. If each student has 8 classes and each teacher has 4 classes every day, then each class is 45 students, 1 teacher. Please calculate how many teachers there are in Tsinghua High School.

Simulated examination questions of primary school mathematics graduation exam (2)

1.26048 million is written as (), and if it is rewritten as "ten thousand", it means () ten thousand.

2, 0.667, 0.76 and 68%, the maximum number is (), and the minimum number is ().

3. The largest three digits that can be divisible by 2, 3 and 5 at the same time is ().

4. When the ratio of boys to girls in a class is 4:5, boys account for () and girls account for () class.

Dad said, "My age is four times that of Xiaoming." Xiao Ming said, "I am one year old." Use a formula containing letters to express dad's age, and write it as (); If Xiaoming is 8 years old this year, then Dad is () years old this year.

6. A number divided by 6 or 8 is greater than 2, and the minimum number is (); A number divided by 160+4 and 240+6, the maximum number is ().

7.⊙()=()⊙60 = 2:5 =()% = ().

8. In 3.0 14, 3.3 14%, 3. 1 and Uyghur, the maximum number is () and the minimum number is ().

9. The circumference of a circle is 12.56 cm, and its area is () square cm.

10. If a = b/c (c ≠ 0), () is inversely proportional to () when fixed; () At a certain moment, () and () are in direct proportion.

Two, multiple-choice questions (fill in the serial number of the correct answer in brackets) (5 points)

1. The radius of a semicircle with circumference l is ().

a . l÷2÷3÷c . l÷4÷4÷5÷5÷5÷5÷6÷5÷6÷6÷6÷6÷6÷6÷6÷6÷6÷6÷6÷6÷6÷6

The value of 2.3/ 12 is ().

A. finite decimals B. cyclic decimals C. infinite acyclic decimals

The original price of a refrigerator is 2400 yuan, and now it is 30% off. What's the current price? The formula is (). a . 2400÷70% b . 2400×70% c . 2400×( 1-70%)

In the next few years, () is a leap year. In 2000

5. In the following categories, A and B are inversely proportional to each other ().

A.a×b= 1 B.a×8=b C.9a=6ab

Three. True or false (tick correctly in brackets, x incorrectly) (5 points)

The ratio of 1.6kg: 7kg is 6/7kg. ( )

2. Time is fixed, and distance is directly proportional to speed. ( )

3. The false score must be greater than the true score. ( )

The denominator of a fraction contains a prime factor of 2 or 5, and this number must be reduced to a finite decimal. ( )

5. If the volume of a cone is 4 cubic decimeter, then the volume of a cylinder with equal bottom and equal height is 12 cubic decimeter. ( )

4. Calculation questions (35 points).

1. Numbers written directly (5 points)

127+38= 8.8÷0.2= 2- 1/4 = 12× 1/3 =

1÷7+2 = 1- 1× 1/4= 1.02-0.43= 1÷25%×25=

2. What can be simplified should be simplified (6 points)

①9 -0.64-0.36 ② 1.8× 1/4+2.2×25%

①6.25-40÷ 16×2.5

3, solve the equation (6 points)

7.5:x=24: 12 3x-6 =8.25

4, column calculation (6 points)

(1) What's the difference between 8 and 4 divided by 2?

(2) 15 is four times smaller than a number. What is the number?

Five, first look at the chart, and then ask questions (5 points)

The output value of a factory in the fourth quarter is 200 1 1.

Question 1:

Column type:

Question 2:

Column type:

Six, the application problem (30 points) (1-5 small 4 points, 6-7 small 5 points)

1, Master Wang processed a batch of parts. It was originally planned to process 30 pieces per hour, which can be completed in 6 hours. In fact, the processing capacity per hour is 20% more than originally planned. How many hours are the actual processing of these parts ahead of schedule?

2. Cylindrical oil drums with an inner diameter of 40 cm and a height of 50 cm. If diesel weighs 0.85 kg per cubic decimeter, how many kg of diesel can this oil drum hold?

Wang flew to the library in the mountains to borrow books. He climbed the mountain at a speed of 3 kilometers per hour and returned from the original road at a speed of 6 kilometers per hour. Ask him for the average speed of going up and down the mountain.

The bus and truck run in opposite directions from the midpoint of A and B at the same time. Five hours later, the bus arrived at A, and the truck was 60 kilometers away from B. It is known that the speed ratio of the truck to the bus is 5:7. How many kilometers is it between A and B?

5. Hope Primary School originally planned to buy 12 rubber balls at 0.84 yuan each. Of the money spent on this ball, 1.68 yuan spent it on skipping rope. How many rubber balls can I buy with the remaining money?

6. There is a batch of goods in the warehouse, and the weight ratio of the transported goods to the remaining goods is 2:7. If 64 tons are transported, the remaining goods are only 1/9 of the original goods in the warehouse. How many tons are there in the warehouse?

7. Party A and Party B jointly completed 242 machine parts. A it takes 6 minutes to make a part, and B it takes 5 minutes to make a part. When they finished this batch of parts, how many parts did each of them make?

Elementary School Mathematics Graduation Examination Questions (3)

Fill in the blanks. (17)

1.2003 The world population is 6 17930000, and the mantissa after omitting "100 million" is about () billion.

2. The sum of the smallest prime number and the smallest odd number is ().

There are 90 tons of cement on the construction site, and 3.5 tons are used every day, which takes b days. The formula with letters indicates that the remaining tons are () tons.

4.8 Divided by its reciprocal, the quotient is ().

The greatest common divisor of all odd and composite numbers in 5.20 is ().

6. Divide 4 kg of candy into 5 portions on average, each portion weighs () kg.

7. Choose four numbers from divisor 24 to form the ratio of ().

8. The ratio of stamps newly owned by the army is 4: 3. There are 64 stamps just now, and the army has () stamps.

9. Party A and Party B walk the same distance. Party A walks for 20 minutes and Party B walks for 15 minutes. The speed ratio of Party A and Party B is ().

10. The simplest integer ratio: 0.6 is ().

11.In 2006, the number of copies subscribed by Xiangyang Primary School to "Mathematics for Primary School Students" was directly proportional to the total amount of money.

12 plus 6. To keep the size of the fraction unchanged, please add () to the denominator.

13. Tons are less than tons ()%.

14. It takes Party A and Party B 6 days to complete a project, and it takes 10 days for Party A to complete it alone, and () days for Party B to complete it alone.

15. An oil drum can hold 100 kg of oil. According to the actual loading of 425 kilograms of oil, () such oil drums are needed.

16. a pile of coal, used for the first time, used for the second time. Among them, the number used at the () th time can be expressed as a percentage.

17. The circumference of a big circle is twice that of a small circle, and the area of a big circle is () times that of a small circle.

Second, judge. (Put √ in brackets for the correct statement and X in brackets for the incorrect statement) (6 points)

1. The sum of two prime numbers must be a composite number. ( )

2. The smallest three digits divisible by 2, 3 and 5 at the same time is 120. ( )

3. All the 98 parts processed in Li Shifu are qualified, and the qualified rate is 98%. ( )

4. Rectangular, square and circle are all axisymmetric figures. ( )

5.8 baskets have 6 kilograms of apples on average. Take a basket of apples at will. There must be 6 kilograms of apples in it. ( )

6. The volume of a cylinder is larger than that of a cone with the same base and height. ( )

Third, choose. (Fill in the serial number of the correct answer in brackets) (10)

1. The volume of a can of Coca-Cola (see the picture on the left) is 335 ().

A. liter b cubic decimeter c milliliter d cubic meter

2. 1, 3 and 5 are all 15 ().

A. prime factor B. common divisor C. odd number D. divisor

3. The degree ratio of the inner angle of the triangle is 1: 2: 3, and this triangle is ().

A. acute triangle B. right triangle C. obtuse triangle

4. The shaded part on the left represents the area of A () the area of B. ..

A.& gtB. = C. & lt

5. After two identical cubes are put together to form a cuboid, the total surface area ().

A. increase B. decrease C. unchanged

6. Cylinders and cones have the same volume and the same bottom area. It is known that the height of cylinder is 12 cm and the height of cone is () cm.

A. 12 B.36:

7. Five drops of eye drops are 1ml. In order to protect his eyes, Xiao Ming drops a drop in each eye every morning, as shown on the right.

Xiao Ming can use this bottle of eye drops ().

A.5 days B. 14 days C.35 days D.70 days

Xiao Ming is one year old, and Xiaohua is three years older than Xiao Ming. In four years, Xiaohua will be () years older than Xiaoming.

A.a+4 B.7 C.3 D.a+7

9. If the number of boys accounts for the whole class, it means that the ratio of the number of boys to the number of girls is ().

a . 4:9 b . 4； 5 C.5:4 D.5

10. The sum of the sides of a cube is 6 decimeters, and the volume of this cube is () cubic decimeters.

A.1b.216 c. Go.

Fourth, count your nose. (27 points)

1. Write the number directly. (6 points)

÷ = - = 1.75÷0.5= 1- × =

× = 1.09+5.73= 16×0.25= 0. 125× ×8=

÷0.5= + = 2.4× = 5.28-( 1.8+2.28)=

2. Solve the following equations or proportions. (3 points)

:= :x 9 1-0.6x=77.2

3. Off-mold calculation. (Write the calculation process) (6 points)

1+0.45÷0.9—0.75 [ 1-( - )] ÷ ( + ) ÷ +

4. Calculate the following questions in a simple way. (Write the calculation process) (6 points)

25× ×4× 3× +4÷ 12×( + - )

5. Calculation of formulas or equations. (6 points)

Subtract 1.5 from (1) 4.5 and divide the difference by 2. 1. What is the quotient?

② A number is 60 more than it. What's this number?

Fifth, do the questions as required. (9 points)

1.( 1) Draw a line segment 4 cm long.

(2) Draw a circle with the length of the line segment as the diameter.

(3) Draw a radius in the circle.

(4) Use letters to indicate the center and radius.

(5) The circumference of this circle is () cm.

The area of this circle is () square centimeters.

2. Please choose 8 small squares in the picture below, design a symmetrical pattern and draw an axis of symmetry.

3. The square in front of the county people's government is a rectangle with a length of180m and a width of100m. Please choose the appropriate scale, draw a square plan in the picture below, and indicate the length and width on the picture. The scale I designed is ().

Sixth, solve the problem. (3 1)

(a) only the formula or equation, not calculation. (6 points)

1. Xiaohong bought a bag of rice, ate it, and there were 5 kilograms left. How many kilograms of rice did Xiaohong buy?

2. A shoe factory produces leather shoes. /kloc-in October, it produced more shoes than in September. /kloc-20,000 pairs were produced in October. How many pairs were produced in September?

Xiaohong's home is located in the east of the school, and Xiaoli's home is located in the west of the school. They leave home at 7: 30 and meet at the school gate at 7: 50. Xiaohong walks about 65 meters per minute, and Xiaoli walks about 60 meters per minute. How many meters are they apart?

(2) Answer the following questions. (25 points)

1. The grain store delivered 165 bags of flour, which is more than three times the quantity of 15 bags of rice. How many bags of rice did the grain store send?

2. The urban population accounts for about 40% of China's population of 654.38+0.3 billion, and that of developed countries is about 70%. To reach this level, how many billions will China's existing urban population increase?

3. When a batch of goods is transported by car, the total amount of the first transport is 75 tons, and the rest is 15 tons. How many tons are there in this shipment?

Class 4.6 (1) participates in voluntary labor, and plans to send 16 students to plant trees, with an average of 3 trees per person. Later, some students were added, so each student only needs to plant 2 trees on average. How many students have been added?

5. Xiaojun reads books. If he finishes reading the book in seven days, he will finish reading 40 pages in the next five days, just finished reading it. How many pages are there in this book?

6. Make a cylindrical oil drum with iron sheet, the bottom radius is 5 decimeters, and the ratio of height to bottom radius is 3: 1 (the thickness of iron sheet is slightly). How many square meters does it take to make this oil drum? (approximate in one way, keep the whole square meter. )

7. The following is a statistical chart of the votes of the host cities of the 2008 Olympic Games.

Statistics of the votes of the host city of the 2008 Olympic Games

(1) The total number of votes obtained by the four bidding cities is ().

(2) Beijing won () votes, accounting for ()% of the total votes. (Keep one decimal place before the percent sign)

(3) As soon as the voting results came out, newspapers and TV stations all said, "Beijing is far ahead." . Can you briefly explain the reason?