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Examination paper of mathematics unified examination for sixth grade graduation of primary school
1. Fill in the blank: (19 points)

1. A number is 5 in the hundredth place, 4 in the hundredth place, and the rest are 0. This number has one decimal place.

2.6, 10, 18, and 5 1 are all complex numbers and odd numbers. And coprime.

3. Choose three numbers from 0, 4, 5, 8 and 9 to form a number divisible by 3. The largest of these figures is the smallest.

4. The quotient of A divided by B is 10, the sum of A and B is 77, A is and B is.

The distance a bicycle wheel travels when it rolls forward for two weeks is one meter, the circumference of the wheel is meters, and the diameter is meters.

6. 12 of the 50 cases infected with atypical pneumonia in a certain area were medical personnel, accounting for%. The ratio of infected medical staff to other infected people is.

7. Li Ming bought a 4000 yuan Treasury bill with a fixed term of three years and an annual interest rate of 2.89%. After the expiration, he donated the interest to Project Hope to help poor children. Li donated RMB to Hope Project.

8. The scale of a map of China is 65,438+0: 4,500,000, and it is rewritten as line segment scale. On this map, the distance from Nanjing to Beijing is 20.4 cm, and the actual distance from Nanjing to Beijing is kilometers.

9. The side length of a cubic object is 2 decimeters. Wrap four such objects in paper, at least square centimeters of paper. (Overlap ignored)

10. Put seven red pencils and three blue pencils in a bag, and let you touch 1 at random at a time. Touch 10000 times like this, accounting for about% of the total times. When you touch it, you will probably have a red pencil.

Second, the choice: (7 points)

1. In the following fraction, it cannot be converted into a finite decimal.

①7/28② 13/40③9/25④8/ 15

2. There are more boys than girls, and the ratio of male to female is

① 1:4②5: 1③5:4④4:5

3. In the following question, two related quantities are in direct proportion.

① The perimeter of an equilateral triangle and the length of any side ② The volume of the cone remains unchanged, the bottom and height ③ The side length of the cube remains unchanged, and the volume and bottom area ④ Interest and interest rate.

4. When estimating 7. 18×5.89, the error is small.

①8×6②7×6③7×5④8×5

5. The ratio of expanding the sides of a cylinder into an equal quadrilateral to a rectangle.

① Smaller area and longer weeks ② Equal area and longer weeks.

③ Equal area and smaller circumference ④ Equal area and longer circumference.

6. When using peracetic acid for disinfection, the disinfection water should be prepared according to 1: 200. Now he puts 0.3 kg of peracetic acid solution into 50 kg of water. To make the disinfectant meet the requirements, he should

① Add 0.2kg of liquid medicine ② Pour out 5kg of liquid medicine.

③ Add10kg of water ④ Add 20kg of water.

7. Draw the largest semicircle in a rectangle 5 cm long and 3 cm wide. The circumference of this semicircle is 10 cm.

①9.42② 18.84③ 14.42④ 12.85

Third, judge whether the following statement is correct. (6 points)

1. Add "0" or remove "0" after the decimal point, and the size of the decimal point remains unchanged.

Xiao Ming said, "My cousin was born on February 29th, 1998."

3. The natural number including divisor 2 must be even.

4. Both sides of the corner are line segments.

The product of any two numbers is greater than their quotient.

6. The quantity of A is 25% less than that of B, and the ratio of A to B is 3∶4.

Fourth, calculation.

1, write directly. (5 points)

15×3/20= 2/3÷0.5÷2= 13/4+0.25= 0. 1÷ 1%= 2.5÷5=

2/5÷ 1/ 10= 2/3— 1/4= 4. 1— 1.3= 2.8—4/7+ 1.2= 3.5×9+3.5=

2. Find the unknown X. (6 points)

3/5: 12 = 1/2:XX—0. 15X = 8.53 . 6:X = 2/3

3. How to simply calculate the following questions? (12)

(+×)÷÷[×(+)]

(+)×8+4.5—(+ 1.5)—

Verb (abbreviation of verb) application questions (1-9 4 points for each question, 10 9 points for each question)

1. Look at the chart and calculate:

2. A piece of "84" disinfectant packaging paper states: When cleaning the bathtub, the stock solution and clean water should be prepared according to 1: 300. Li Nainai poured out10g of this disinfectant. How many kilograms of water does it take to clean the bathtub? (Use proportional solution)

3. It takes 12 hours for Party A to complete a manuscript alone, and 15 hours for Party B to complete it alone. B typed for five hours first, and A typed the rest of the manuscript. How many hours will it take to finish typing?

4. Aunt Wang's cabinet air conditioner is 0.4m long, 0.2m wide and 1.7m high. In order to prevent dust, Aunt Wang is going to cover this air conditioner with a rectangular cover made of cloth. Please help her figure out how many square meters of cloth is needed to make this cover. (Seam * * needs 0.2 m2 of cloth).

For the sake of students' health and safety, the school provides each student with a water cup, with a 10% discount on each water cup in Sanyuan and Ocean Mall, and "buy eight and get one free" in Baihui Commercial Building. The school wants to buy 180 cups. Please be a "staff officer" and calculate: which is more cost-effective? Please write down your reasons. (5%)

6. Both Party A and Party B walk in the same direction at the same time. Party A walks 100 meters per minute, and Party B walks 120 meters per minute. 12.5 minutes later, the distance between them is150m. How many meters is there between A and B?

7. A rectangular reed mat with a length of12.56m and a width of 3m is enclosed in a cylindrical grain depot with the length as the bottom (not counting the combined consumption). What is the volume of this closed grain depot?

8. A township built a canal. 50% of the total length of the first phase and 35% of the total length of the second phase, leaving 80 meters. How long is this canal around the mountain?

9. Zhangzhuang originally planned afforestation last year 128 hectares, but actually completed the planned afforestation 125%. How many hectares has it actually planted more than planned?

10. Taxi charging standards in a city are as follows: (9)

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.

(1) Lily takes a taxi from home to grandma's house, paying 17.6 yuan. How many kilometers is it from Lily's house to Grandma's house? (3)

(2) Teacher Wang took a document from the Personnel Bureau 6 kilometers away from the school and immediately returned to the school. How can he take the bus more economically? How much do I have to pay for taking a taxi? (6)

I. Oral calculation: 8 points

0. 125× 16= 3- 1.06= 0.6÷6= 16.8-7=

1.0 1×0.2×0. 1= 1 1- 1 23 = 1 34 + 1 34 = 9 78 -9.875=

3. 14×8= 15 - 16 = 2 15 - 145 = 2 18 ÷4 18 =

1.625÷ 1 58 = 723 -0= 0. 1+0.2×0.3= 16 + 16 ÷ 16 + 16 =

Two. Fill in the blanks: 16.

1. 1 260.9 million write _ _ _ _, rounded to several hundred million is about _ _ _ _.

2.6 cubic decimeter 7 cubic centimeter = cubic centimeter 2 hours 15 minutes = hour

3. Turn 2 18: 1 23 into the simplest integer. The ratio is _ _ _ _, and the ratio is _ _.

The greatest common divisor of 4.52 and 130 is _ _, and the least common multiple of 24, 28 and 42 is _ _.

5. A map with 10 cm representing the actual distance of 30km. The scale of this map is _ _.

Of the five numbers of 6.58, 6.25%, 65%, 0.625 and 0.62, the largest number is _ _ _, and the smallest number is _ _ _ _.

7.278 has a 18 and 0.87 has a 0.0 1.

8. A cone with a circumference of 12.56 cm at the bottom, a height of 2.4 cm and a volume of cubic cm.

9. Divider is 57, the difference between dividend and quotient is 14, and dividend is.

10. If the height of a cuboid increases by 2 cm, it will become a cube, and its surface area will increase by 56 cm. It turns out that the volume of this cuboid is _ _ _ _ _.

Third, judge 4 points

1.x = 0.8 is the solution of the equation 3x- 1.6 = 0.8.

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

3. Of the 9 1 pieces produced, 9 pieces are unqualified, and the qualified rate is 9 1%.

4. Natural numbers are either prime numbers or composite numbers.

The first network of new curriculum standards

Four, choose (fill in the serial number) 2 points.

1. Add 20g of salt to 1 kg of water. At this time, salt accounts for salt water.

a、 150 B、 15 1 C、505 1 D、 120

2. The ratio of the perimeter of the bottom surface of the cylinder and the cone is 2∶3, and their volume ratio is 2 ∶ 3.

5: 6, the simplest integer ratio of cylinder to cone height is

a、5∶8 B、8∶5 C、 15∶8 D、8∶ 15

Fifth, the graphic problem. (6 points)

① As shown in the figure, the upper bottom of the trapezoid is 5cm and the lower bottom is 8cm. The triangle is 4 cm high. Divide the triangle into two parts A and B with equal area, and find the area of the shadow part.

② The area of the trapezoid in the figure below is 450cm2, and find the area of the shaded part. (Unit: cm)

Six, from the type calculation 18 points

14 3 17 -6.46-3.54 4.2÷ 1.5- 1.5×0.6

(4 56 -3 34 )÷(3 14 +27 ) 5 1.6÷[(3 25 - 1.25)×45 ]

(0.92+225 )÷(4-2 79 ) (5 25 - 1.8)÷[( 1. 15+ 1320 )× 1 23 ]

Seven, column calculation 6 points.

1. 25 of a number is 60. What is 20% of this figure?

2.8 is 0.4 more than 25% of x, so find x.

Eight, only calculate the column type (2× 5 = 10).

1. An engineering team invested 200,000 yuan to complete a project, saving 50,000 yuan compared with the scheme. What percentage was saved?

2. A production team processed 200 parts, of which 15 was unqualified. Find the qualified rate.

3. Teacher Li wrote three popular science stories and got a manuscript fee of 3,400 yuan. Personal income tax shall be paid at 14% for the part exceeding 800 yuan. How much did Teacher Li get after paying taxes?

4. From place A to place B, it takes 6 days for A to arrive and 8 days for B. It is known that A walks 80 kilometers more than B every day to find the distance between the two places.

Nine, answer the following questions 30 points

1. In the activity of collecting tree species for greening the motherland, 20 kilograms of tree species were collected by five classes in grade four and 60 kilograms by three classes in grade five in a school. How many kilograms of tree species were collected in each class on average?

2. A rectangular reed mat with a length of 12.56 m and a width of 3 m forms a cylindrical grain depot with the length as the bottom perimeter (excluding the consumable joints). What is the volume of this closed grain depot?

3. A cylindrical grain depot filled with wheat, with a bottom area of 3.5 square meters and a height of 1.8 meters. If these wheat are piled into a conical wheat pile with a height of 1.5 meters, how many square meters will it occupy?

4. Passenger cars and trucks leave from place A and place B relatively simultaneously. The speed of the passenger car is 60 kilometers per hour, and the freight car 1 10. When the truck was driving 1324, the bus had already driven 58. How many kilometers is the distance between AB and other places?

I hope the primary school will decorate the multimedia classroom. It is planned to use glazed square bricks with a side length of 30 cm to pave the floor, which needs 900 pieces. How many pieces do you actually need to use square marble with a side length of 50 cm to pave the floor? (Answer with proportional knowledge)

6. Xiaohong and Xiao Fang both saved some pocket money. The ratio of their savings is 5: 3. In the donation activity of "supporting the disaster area", Xiaohong donated 26 yuan and Xiao Fang donated 10 yuan, and the remaining money was equal. How much money does Xiaohong have?

First of all, think carefully and fill it in correctly.

1. According to statistics, in 2009, the resident population of Zhejiang Province was 51203,800. This number on the horizontal line is written as (), and the mantissa after omitting ten thousand digits is about () ten thousand people.

2,3 ÷ 8 = = 6: () = ()% = () (decimal)

3, 5 hours 15 minutes = () hours 2.07 cubic meters = () cubic meters () cubic decimeter.

4. Divide the 20 tons of coal into 5 parts on average, each part weighs () tons, and each part accounts for () of the total.

5. When Xiaole's family travels to Yunnan, the fee for each person to pay the travel agency is one yuan, and a * * * needs () yuan. If the family spends B yuan on the trip, then the trip will cost () yuan. 6, greater than () is 120m, () less than 15kg is 20%. 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. A project will be completed in 6 days and 9 days. Party A and Party B cooperate for () days to complete the project.

10, class 6 in a school (1), the first group of students jump rope 1 min. The results are as follows: 90, 95, 90, 92, 122, 93, 90. The average value of this set of data is (), the median is (), and the mode is ().

Second, carefully scrutinize and judge carefully.

1. If the volume of a cone is a cylinder, then their heights must be equal. ……( )

2. Tons can be written as 50% tons or 0.5 tons. ……………………………( )

3. The concentration of the liquid medicine prepared by 1 00g powder and1kg water is 10%. ……………( )

3. The diameter of a circle is fixed, and its circumference is directly proportional to pi. ( )

4. Cylinders with the same height and diameter have square lateral spread.

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

6. The ratio of boys to girls in the sixth grade is 6:5, so there are more boys than girls. …………( )

Third, compare repeatedly and choose carefully.

1. Make a cuboid with two cubes with side length of 1 cm. The surface area of this cuboid is (). ①6 cm2 ② 12 cm2 ③ 10 cm2

The side length of a cubic wood is 4 decimeters. Cut it into the largest cylinder, and the volume of the cylinder is () cubic decimeter. A, 64 B, 5024 C, 50.24 D, 64003, a cylinder and a cone with equal bottoms. If their volumes are equal and the height of the cylinder is 3 cm, then the height of the cone is () cm. a, 1 B,3 C,9 D,4。 In the figure below, when the areas are equal, the perimeter of () is the shortest, a, a rectangle b, a square c, a circle d and a parallelogram 5. There is a cube with a length of 4 cm. After digging a cube with a length of 1 cm from a vertex of the cube, the surface area of the object and the original surface area remain unchanged.

① Large ② Small ③ Constant ④ Uncertain.

Fourth, see the topic clearly and think skillfully.

1, a number written directly. (8 points) 9.42 ÷ 3.14 = 2× = 3.14× 6 = (+)×12 = 9 ÷ = ×17 —×/kloc-0.

3. Calculate with recursive equation (as simple as possible)

40.5÷0.8 1- 16×2.4 18. 1-5.7-4.3+ 1.9 (-)× 17× 15

0. 125×32×25 ÷-× (-+)×28

Verb (abbreviation of verb) operation problem 1. After translating the house 4 squares to the left, draw the outline of the house in the picture below. B.

2. As shown in the figure below, measure the distance from point A to the known straight line L in the figure. Draw a straight line perpendicular to point B, and draw a parallel line with known straight line L at point A outside the straight line. BBC. Answer.

Six, the use of knowledge to solve problems

1. Hongxing Cement Plant planned to produce 2,500 tons of cement in March this year, and actually produced 2,750 tons. What is the percentage of actual output exceeding the plan?

2. For a project, if Team A works alone for 5 days and Team B and Team C cooperate for 12 days, how many days will it take for the three teams to cooperate to complete the whole project?

3. An engineering team needs to build roads, and plans to construct12m every day, and complete the task in 40 days. I actually built 3 meters more than planned every day. How many days did it actually take? (Use proportional solution)

4. A conical sand pile, with a bottom diameter of10m and a height of 6m, with a sand weight of1.5t per cubic meter. How many tons is this pile of sand?

Finally finished, don't forget to check it again!

5. The ratio of male and female students participating in the math contest in a school is 6∶5, and then five girls are added. At this time, the number of girls is 8: 9 of the number of boys. How many girls took part in the math contest?