2010 Mathematics Graduation Exam Paper

1. Fill in the blanks. (24 points)

1. At present, the total area of ??Hong Kong in my country is one billion and fifty-two million square meters. Rewrite it as a number with "10,000" as the unit and write it as ( ) square meters, omit " The digit after "billion" is approximately ( ) square meters.

2. 4.25 hours = ( ) hours ( ) minutes, 7 cubic meters 40 cubic decimeters = ( ) cubic meters.

3. Cut the 4-meter-long rope into 5 sections on average. Each section is ( ) meters long, and each section accounts for ( ) of the total length.

4. Among 314%, 3.1, 3.014, 3 and 3., the largest number is ( ) and the smallest number is ( ).

5. ( )%=4÷5== ( ):10＝ ( ) (decimal)

6. There are ( ) the simplest proper fractions whose denominator is 18, Their sum is ( ).

7. Glue three cube wooden blocks with edge lengths of 4 cm into a cuboid. The volume of this cuboid is ( ) cubic centimeters, and its surface area is ( ) smaller than the sum of the surface areas of the original three small cubes. square centimeters.

8. It is ( ) meters more than 80 meters, and 12 kilograms is ( )% less than 15 kilograms.

9. The diagonal length of a square piece of paper is 4 cm, and its area is ( ) square centimeters. If it is cut into the largest circle, the area of ??the circle is ( ) square centimeters.

10. The ratio of ∶ is (). The ratio of converting 4:0.8 into the simplest integer is ( ): ( ).

The greatest common factor of 11, 12 and 30 is ( ), and the least common multiple is ( ).

12. Observe the examples, discover patterns, and answer the questions as required.

(120×120)-(119×121)=1, (120×120)-(118×122)=4,

(120×120)-(117 ×123)=9, (120×120)-(116×124)=16,...

(1) (120×120)-(112×128)= ().

(2) (120×120)-(×)=144

2. True or False questions. (5 points)

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

2. The volume of the cone is equal to the volume of the cylinder. ( )

3. 40% of a ton of coal is used, leaving 60% of the ton. ( )

4. The time is constant, and the distance and speed are directly proportional. ( )

5. The price of a certain commodity is first increased by 10% and then reduced by 10%. The current price of this commodity is the same as the original price. ()

3. Multiple choice questions. (6 points)

1. The quotient of dividing two numbers is 2.4. If the dividend is expanded 100 times, the divisor is divided by 0.01, and the quotient is ().

A, 2.4 B, 24000 C, 240

2. Indicates the changes in body temperature of a patient within a day. It is more appropriate to draw a ( ) statistical chart.

A. Polyline B. Sector C. Bar

3. For an isosceles triangle, the ratio of the base angle to the vertex angle is 2: 1, then this isosceles triangle Too( ).

A. Acute triangle B. Right triangle C. Obtuse triangle

4. Xiao Ming walked 20 kilometers in 3 hours, and it took exactly 1 hour to return along the original road by bicycle. . Xiao Ming's average round trip speed is () per hour.

A. 5 kilometers B. 10 kilometers C. 13 kilometers

5. A project was planned to be completed in 5 hours, but the task was actually completed in 4 hours. Work efficiency raised ( ).

A, B, C,

6. When estimating 7.18×5.89, the error is smaller ( ).

A. 8×6 B. ②7×6 C. ③7×5

4. Calculation questions.

(26 points)

1. Write the score directly (10 points)

127+38= 8.8÷0.2= 15×3/20= 2/3÷0.5÷2= 13/4+0.25=

2 /5÷1/10= 2/3—1/4= 2.8—4/7+1.2= 3.5×9+3.5= 1.02－0.43＝

2. Calculation. (12 points)

9 - (3 +0.4) 1.8× +2.2×25% 5.02-1.37-2.63

3. Solve the equation. (4 points)

7.5:x＝24:12 3x－6＝8.25

5. Graphics and operations. (8 points)

1. For a part, as shown in the figure below, find its volume. (4 points)

2. The side length of each small square in the right grid is 1 cm. Please divide the trapezoid in the figure into a, b, c Three triangles, so that their area ratio is

1:2:3, and find the areas of the three triangles respectively. (4 points)

6. Solve the problem. (31 points)

1. Only list the formula without calculation: (2 points for each question, ***8 points)

(1) A factory plans to produce 240 units in 15 days The actual production of 4 more machine tools per day than planned per day, how many days does it actually take to complete?

(2) The experimental survival rate of a kind of sapling is 95%. In order to ensure that 570 trees can survive, how many should be planted at least? A sapling?

(3) The store shipped 20 baskets of pears and 16 baskets of apples, with a total weight of 820 kilograms. It is known that each basket of apples weighs 22.5 kilograms. How many kilograms does each basket of pears weigh? (Use the equation to solve)

(4) The Industrial and Commercial Bank of China has introduced lump-sum deposits and withdrawals for education savings, and implemented interest tax exemptions. Xiaoqiang's parents went to the bank and deposited 8,000 yuan for Xiaoqiang in a three-year lump sum education savings. It is known that the annual interest rate of the three-year lump sum deposit is 3.24%. How much *** yuan can he receive in principal and interest upon maturity?

2. Xiao Ming reads a storybook. He reads an average of 24 pages per day in the first 4 days and 34 pages on the 5th day. How many pages does Xiao Ming read per day in the first 5 days on average? (4 points)

3. There is an 80-meter-long water pipe. 25% of the total length was used the first time, and 40% more was used the second time. How much was left after the second time? Rice is useless? (4 points)

4. A cylindrical bucket without a lid. Measured from the inside, the bottom diameter is 4 decimeters and the height is 6 decimeters. How many square decimeters of iron sheet is needed to make this bucket? ? The water in the bucket is 5 decimeters deep. How many kilograms does the water in the bucket weigh? (1 liter of water weighs 1 kilogram) (5 points)

5. A and B are 264 kilometers apart. A takes a bus from A to B, traveling an average of 80 kilometers per hour. B rides A motorcycle travels an average of 32 kilometers per hour from point B to point A. When A travels 200 kilometers, he meets B. How many hours earlier did A start than B? (5 points)

6. One day, "Zunyi Evening News" published information: The monthly water payment for residents of a certain city was adjusted from the original 1.90 yuan per cubic meter as follows:

Water consumption

20 cubic meters and below

Above 20 cubic meters

Charging standard

2.30 yuan per cubic meter< /p>

3.5 yuan per cubic meter

Based on the relevant information above: The water bill for Uncle Wang’s family in May this year will be 24 yuan more than the original fee according to the new charging standard. How many cubic meters of water is there in May? (5 points)

Independent display stand:

1. A cylinder with a base diameter of 24 cm is filled with water, and a cone with a base radius of 4 cm is immersed in the water. Plumb bob.

When the plumb bob is taken out of the water and the water surface drops by 1 cm, what is the height of the plumb bob in centimeters?

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