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Mathematical Problems in Xuzhou City, Jiangsu Province
Primary School Mathematics Graduation Examination (2 1)

First, calculation. 1, oral calculation.

56+47= 12.6÷3= 0.36÷0.9= 9 10+70= 0.25×0.4=

× = 16×5= 1÷0.25= + = 12+0.8=

2. Off-mold calculation can be simplified. (12)

( 1) 125×(8+0.8+0.08) (2) 9 10 ×(56 -49 ÷45 )

(3) 2.8×0.4+ 10.2÷3.4 (4) 35 ÷〔78 -(25 +38 )〕

3. Find the unknown number x x-= 2x+0. 1 = 1 =

fill (up) a vacancy

1, 270 square decimeter = () square meter 6.25 hours = () hours () minutes.

2. On the map with the scale of 1: 2300000, the distance from Xuzhou to Huaiyin is 8 cm, and the actual distance from Xuzhou to Huaiyin is () km.

3. if x×y=c(x, y, c is not zero), x, y is proportional to () when c is constant, and x, c is proportional to () when y is constant.

4. Three times the number of A equals twice the number of B, and the ratio of A to B is ().

5. The radius of the bottom surface of the cylinder is 8 cm, and its side development is just a square. The height of this cylinder is () cm.

6. The height of cylinder and cone is 8 cm, and the bottom area of cylinder is 24 cm 2. When the bottom area of the cone is () cm 2, their volumes are equal.

7. The bottom radius of a cone is 2m or 3m, and its volume is (), while the volume of a cylinder with the same height as its bottom is ().

8. The circumference of a rectangle is 50 meters, and the ratio of length to width is 3:2. The area of this rectangle is ().

9. Two kinds of screws, one is 30 cents and the other is 40 cents. The simplest integer ratio of the unit price of these two screws is ().

10 A cylindrical piece of wood, 1.5 meters long, was sawn in two along the bottom diameter, and its surface area increased by 600 square centimeters. The volume of this kind of wood is () cubic centimeters.

Third, the judge.

1, cuboids, cubes and cylinders with the same base area and height must have the same volume. ( )

2. Bar chart can not only represent quantity, but also represent the change of quantity. ( )

The number of copies of China Youth Daily is in direct proportion to the amount of money spent. ( )

4. If two external terms of a proportion are reciprocal, then two internal terms must also be reciprocal. ( )

5. The total volume of a cone is exactly equal to the volume of a cylinder. ( )

6. if x and y are inversely proportional, then 3 x and y are also inversely proportional. ( )

Fill in the blanks according to the bar chart below and calculate.

(1) Fill in the quarterly output. (2) * * * annual production ().

(3) The average monthly output is () sets, (4) The output in the fourth quarter is ()% higher than that in the third quarter.

Verb (abbreviation of verb) application problem

1, laying the same brick, laying 1 1 square meter needs 374 pieces. If laying 165 square meter, how many pieces do you need? (Use proportional solution)

2. Make a cylindrical iron drum without a cover, with a bottom radius of 2 decimeters and a height of 5 decimeters. How many square decimetres of iron was used to make this barrel?

3. A conical wheat pile, with a bottom radius of 3m and a height of 0.4m, weighs 750kg per cubic meter of wheat. How many tons does this pile of wheat weigh? (Keep the whole ton as a figure)

4. How many square decimeters of iron sheet is needed to make an oil drum with a bottom diameter of 4 decimeters and a height of 4 decimeters? (Keep one decimal place) If the weight of each liter of oil is 0.8kg, how many kilograms can this oil drum hold? (Keep the whole kilogram).

A room needs 240 square bricks with an area of 9 square decimeters. If the ground is paved with bricks with a side length of 4 decimeters, how many pieces are needed? (Use proportional solution)

6. There is a pile of conical rice on the threshing floor, the bottom circumference is 18.84m and the height is1.5m. Put this pile of rice into a cylindrical granary with an inner diameter of 6m. What is the height of the rice pile?

7. The bus from A to B can arrive in 6 hours at a speed of 40 kilometers per hour. How many kilometers per hour do I have to drive if it takes five hours to get there? (Use proportional solution)

8. What is the weight of the next steel pipe (unit: cm)? (The weight of steel per cubic centimeter is 7.8 grams, (the number shall be kept at one decimal place).

practical problem

1, rectangular paper, the length of the long side is 19 cm. After cutting off the largest square, a small rectangular piece of paper remains. The circumference of this rectangular piece of paper is ().

2. Connect five pieces of paper with the same length into a long note. When the seams overlap 1cm, the total length is exactly 40cm, and the length of each piece of paper is () cm.

There are three baskets of pears with the same weight. Take out the first basket 14, the second basket 25 and the third basket 35kg. At this time, the remaining pears in the three baskets are exactly equal to the original two baskets. How much does each basket weigh?

4. The graduating class of a school held a spring outing. If 45 buses are rented, 15 people have no seats. If you rent the same number of 60 buses, one bus is empty. It is known that 45 buses are rented in 220 yuan and 60 buses are rented in 300 yuan.

Q: (1) How many students are there in this school?

(2) What is the most economical way to rent a car?