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Comprehensive examination paper and answer of sixth grade mathematics graduation
First, fill in the blanks. (28 points)

1. The total storage capacity of the Three Gorges Reservoir is 393 billion cubic meters. Billion? The number of units is ().

The decimal unit of 2.79 is (), and the unit of () is just the smallest prime number.

3. Among 72.5%, 79, 0.7255 and 0.725, the largest number is () and the smallest number is ().

4. Divide the 3-meter-long rope into 8 segments on average, with each segment being full () and each segment being long ().

5.3 ? () = 9: () = = 0.375 = ()% (0.5 points for each space)

6. The beverage factory randomly selected 40 bottles of beverages from a batch of products, of which 8 bottles were unqualified, and the qualified rate was ().

7.0.3 hectares = () square meters 1800 cubic centimeters = () decimeter 3

2. 16m = () cm 3060g = () kg

8. The 30th Olympic Games was held in London, England in 20 12, and there were () days in the first quarter of this year.

9. The car travels 360 kilometers in 4 hours, and the ratio of distance to time is (), and the ratio is ().

10. On the map with the scale of 1: 1500000, 3 cm on the map indicates the actual distance () kilometers.

1 1. The unit price of one pen is one yuan, and it takes () yuan to buy six such pens.

12. There is a rectangular piece of paper, 48 cm long and 36 cm wide. If you want to cut into squares of the same size, there is no redundancy, then the maximum side length of the cut small square is () cm.

13. There are 8 teachers playing chess in the school. If every two teachers play a game, one teacher will play ().

14. As shown on the right, if the area of the parallelogram is 8 square meters,

Then the area of this circle is () square meters.

15. The bottom area of a cube is 36cm2, and the volume of this cube is () cubic centimeters.

16. Cylinders and cones have the same volume and the same bottom area. The height of the cylinder is 1.2m, and the height of the cone is () m. ..

17. Find the pattern and fill it in.

△□☆△□☆△□☆△□△□☆ The 33rd number is ().

18. The picture on the right is the plan of the school, bookstore and hospital.

On the map, the location of the school is (7, 1), the hospital.

The position of is (,). Take the school as the scene.

Measuring point, where is the bookstore? (partial) (? ) direction.

19. There are five white balls and five black balls in a box. The balls are exactly the same except for the color. The probability of hitting the white ball is () () (1).

Second, the judgment question. (right row? , is it wrong? ) (6 points)

1. The sum of any two odd numbers must be even. ( )

2.0 is neither positive nor negative. ( )

3.A number is more than B number 15, and B number is less than A number 15. ( )

4. A 30% discount on goods means a 30% discount. ( )

5.5? (57 + 59 )=5? 57 +5? 59 = 16 ( )

6. The volume of the cylinder is constant, and the bottom area is inversely proportional to the height. ( )

Third, multiple choice questions. (Fill in the serial number of the correct answer in brackets) (8 points)

1. In the following figures, () is not an axisymmetric figure.

① ② ③

2. Estimated 38? The calculation result of 5 1 is about ().

① 1500 ②2000 ③2400

3. One side of the triangle is 4dm, the other side is 7dm, and the third side may be ().

①2dm ②3dm ③4dm

4. Form a rectangle, a square and a circle with equal length of iron wire, and the enclosed () has the largest area.

① Rectangular ② Square ③ Circular

5. A three-dimensional figure consisting of five small cubes. The front view is, and the left view is. The appearance of this three-dimensional figure is ().

6. Xiaoxiao goes to the bookstore to buy books at home. On the way, I remembered that I had forgotten my money. I hurried home to get the money and then went to the bookstore. I chose a book, paid the money and went home. The picture below () reflects these situations of smiling.

7. Cut a cylindrical wood with a base diameter of 2 decimeters into two sections to increase the surface area ().

①3. 14 square decimeter ②6.28 square decimeter ③ 12.56 square decimeter.

8. One bag of pure milk 1.50 yuan, the number and total amount of bags for purchasing pure milk ().

① Direct ratio ② Inverse ratio ③ Out of proportion.

Fourth, the calculation problem. (40 points)

1. Write directly. (12)

46+3 15= 12.8-7.6= 25? 28= 3. 14? 0. 1=

0.24? 56 = 34 + 12 = 58 ? 58 = 13 -0.25=

37 ? 23 = 1? 13 = 35 ? 34 = 80? 40%=

2. The off-type calculation can be simplified if it can be simplified. (12)

①67.5? 0.52+3.25? 5.2 ②36? (56 + 79 )

③42? (65 ? 37 ) ④3.5? [(702-270)? 16]

3. Solve the equation. (4 points) ①34 x-2.5=5 ②53%x-36%x=5 1.

4. Calculate the area of the shaded part in the figure below. (3 points) 5. Calculate the volume of the cone below. (3 points)

6, column calculation (6 points)

A number less than 49 times 4. What's this number?

② The ratio of the sum of 40% and 3.6 of a number to 15 is to find this number.

Fifth, drawing questions. (10)

1. For the circle in the above picture, the position of the center is (,), and the area of this circle is () square centimeter (the area of each small square is 1 square centimeter). (2 points)

2. Rotate the square in the figure 90 degrees clockwise around point A, and draw the figure .. (2 points)

3. Translate the original square by 6 squares to the right, and then translate by 3 squares to draw the translated figure. (2 points)

4. Draw an enlarged picture of the square according to the ratio of 2: 1. The area of the enlarged square is () times that of the original square. (4 points)

Sixth, solve the problem. (28 points)

1. The road from A to B is 250 kilometers long. A bus and a truck travel from place A to place B at the same time. The bus runs 100 km per hour, and the truck runs 80 km per hour. When the bus arrives at B, how many kilometers is the truck from B? (4 points)

I bought a batch of coal in the school canteen. I planned to burn 50 kilograms a day for 40 days, but in fact I burned 25 kilograms a day. How many days can this burn? (Proportional solution) (4 points)

3. There are 296 students in the sixth grade of experimental primary school, less than those in the fifth grade 19. How many students are there in Grade Five? (solved by equation, 5 points) x k b 1.c o m.

4. The picture on the right is a statistical picture of the nutritional components of children's food. If this

Children's food contains 270 grams of protein, so it contains more carbohydrates.

Shaoke? (4 points)

A car sales company sold 5∶2 cars and vans in May this year. These two cars sold 1.4 million. How many cars have been sold more than vans? (5 points)

6. A rectangular piece of iron sheet (as shown in the figure), cut a square with a side length of 5 cm from each of the four corners, and then make a box. How much iron is used in this box? What is its volume? (6 points)

?

answer

First, fill in the blanks. (28 points)

1.(39.3 billion). 2.( 1/9),( 1 1) 3.( 79 ),( 72.5%)。

4.( 1/8), (3/8 meters). 5.(8),(24),(6) , 37.5% 。 6.(80%) 。

7.(3000 ), ( 1.8),(2 16),( 3.06).⑧ 9 1; ⑨90∶ 1、90;

⑩450⑾6a; ⑿ 12; ⒀28; ⒁ 12.56; ⒂2 16; ⒃3.6;

⒄△; ⒅2,4, north-east, 45 degrees; ⒆ 1/2 。

Second, the evaluation criteria: each question 1 ☆, ***6 ☆.

Answer: 1. 2.? 3.? 4.? 5.? 6.?

Three. Evaluation criteria: 1 ☆ and ***8 ☆ for each question.

Answer: 1.22.23.34.35.36.27.28. ①

Fourth, the calculation problem. (40 points)

1. Write directly. (12)

36 1; 5.2; 700; 3 1.4; 0.2; 5/4; 1; 1/ 12; 2/7; 3; 4/5; 32

2. The off-type calculation can be simplified if it can be simplified. Evaluation criteria: each question is step by step, each step 1 ☆ each question is 3 ☆ this question *** 12 ☆ points. (1) and (2) have no simple methods, but the results are correct, only 1 ☆. Answer: 52,58,15,94.5.

3. Evaluation criteria: the first step of each question 1 ☆ the last step 1 ☆ each question 2 ☆ this question 4 ☆ * *. Answer:10,300.

4. Evaluation criteria: 2☆ in the formula, 1 ☆, and 3 * * *☆ in this question. Answer:13.76cm2.

5. Evaluation criteria: 2☆ in the formula, 1 ☆, and 3 * * *☆ in this question. Answer:18.84cm3.

6. Evaluation criteria: the sub-column pair of the formula is 1 minute, and the calculation is correct, 2 points.

① (49? -4) ? Or let this number be x, and X=49? -4, the result is 40,

②( 15? -3.6) ? 40% or let this number be x, (40%X+3.6)? 15=, and the result is 16.

Evaluation criteria of intransitive verbs: 1 point for correct formula, 0.5 point for failure to write unit name, 1 point for failure to write answer and 1 point for failure to write solution. Note: Other methods to solve application problems are acceptable as long as they are reasonable.

Answer: 1. 250-80? (250? 100)=50 (km) a: (omitted)

2. If the solution can burn for x days, then 50? 40=25X Result 80 days Answer: (omitted)

3. Solution: Suppose there are X students in Grade Five. (1-1/9) x = 296x = 333a: (omitted)

4.270? 45%? 40%=240 (grams) A: (omitted

5.5+2=7 1400? 5/7 - 1400? 2/7 =600 (vehicle) A: (omitted)

6.30? 25-5? 5? 4=650 (square centimeter)

(30-5? 2) ? (25-5? 2) ? 5= 1500 (cubic centimeter)