21 Mathematics Graduation Examination Paper

1. At present, the total area of Hong Kong in China is 1.52 billion square meters, which is rewritten as () square meters with "1," as the unit, and the mantissa after omitting "1 million" is about () square meters.

2, 4.25 hours = () hours () minutes, 7 cubic meters and 4 cubic decimeters = () cubic meters.

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

4. Among 314%, 3.1, 3.14, 3 and 3., the largest number is (), and the smallest number is ().

5, ()% = 4 ÷ 5 = () ∶ 1 = () (decimal)

6, there are () simplest true fractions with denominator of 18, and their sum is ().

7. Glue three cube blocks with the edge length of 4cm to form a cuboid. The cuboid has a volume of () cubic centimeters, and its surface area is () square centimeters less than that of the original three small cubes.

8. More than 8 meters is () meters, and 12 kilograms is less than 15 kilograms ()%.

9. The diagonal length of a square piece of paper is 4cm, and its area is () cm2. If it is cut into the largest circle, the area of the circle is () cm2.

the ratio of p>1 to is (), and the ratio of 4: .8 to the simplest integer is (): ().

the greatest common factor of p>11, 12 and 3 is (), and the smallest common multiple is ().

12. Observe the rules found in the examples and answer the questions as required.

（12×12）-（119×121）=1， （12×12）-（118×122）=4，

（12×12）-（117×123）=9，（12×12）-（116×124）=16，……

（1）（12×12）-（112×128）= （）。

(2)(12×12)-( × )=144

Second, true or false. (5 points)

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

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

3. One ton of coal uses up 4% of it, leaving 6% tons. ()

4. The time is fixed, and the distance is directly proportional to the speed. ()

5. The price of a commodity is increased by 1% first and then decreased by 1%. The current price of this commodity is the same as the original price. ()

Third, multiple-choice questions. (6 points)

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

A, 2.4 B, 24 C, 24

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

A, broken line b, fan-shaped c, strip

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

A, acute triangle b, right triangle c, obtuse triangle

4. Xiaoming walked for 2 kilometers in 3 hours, and it took him just one hour to return by bike. The average speed of Xiao Ming's round trip is () per hour.

A, 5km b, 1km c, 13km

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

A, b, c,

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

A, 8×6 B, 27× 6 c, 37× 5

4. Calculation problems. (26 points)

1. Number written directly (1 points)

127+38 = 8.8 ÷ .2 = 15× 3/2 = 2/3 ÷ .5 ÷ 2 = 13/4+.25 =

(12 points)

9-(3+.4) 1.8×+2.2× 25% 5.2-1.37-2.63

3. Solve the equation. (4 points)

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

V. Graphics and operation. (8 points)

1. Calculate the volume of a part, as shown below. (4 points)

2. The side length of each small square in the square on the right is 1 cm. Please divide the trapezoid in the figure

into three triangles, A, B and C, so that their area ratio is

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

Sixth, solve the problem. (31 points)

1. Only the formula does not count: (2 points for each question, ***8 points)

(1) A factory plans to produce 24 machine tools in 15 days, but actually it produces 4 more machines per day than planned. How many days will it actually take to complete?

(2) The survival rate of a sapling is 95%. How many saplings should be planted at least to ensure 57 saplings?

(3) The store shipped 2 baskets of pears and 16 baskets of apples, weighing 82kg. It is known that each basket of apples weighs 22.5kg. How many kilograms does each basket of pears weigh? (solved by equation)

(4) Industrial and Commercial Bank of China has introduced lump-sum savings for education, and implemented interest tax reduction and exemption. Xiaoqiang's parents went to the bank to deposit 8, yuan for Xiaoqiang's three-year lump-sum deposit and withdrawal education savings. It is known that the annual interest rate of lump-sum deposit and withdrawal for three years is 3.24%. How much can you get principal and interest at maturity?

2. Xiao Ming reads a story book. In the first four days, he reads 24 pages a day, and on the fifth day, he reads 34 pages. How many pages does Xiao Ming read every day in the first five days? (4 points)

3. There is an 8-meter-long water pipe, which used 25% of the total length for the first time, and used 4% more than the first time. How many meters are left after two times? (4 points)

4. A cylindrical bucket without a cover, measured from the inside, has a bottom diameter of 4 decimeters and a height of 6 decimeters. How many square decimeters of iron sheets do you need to make this bucket? The water depth in the bucket is 5 decimeters. How many kilograms does the water in the bucket weigh? (1 liter of water weighs 1 kilogram) (5 points)

5. The distance between A and B is 264 kilometers. A takes a bus from A to B, with an average of 8 kilometers per hour. B takes a motorcycle from B to A, with an average of 32 kilometers per hour. When A travels 2 kilometers, he meets B, and asks A to leave a few hours earlier than B? (5 points)

6. On a certain day, Zunyi Evening News released information: the monthly water consumption fee for each household in a city was originally 1.9 yuan per cubic meter, and the following adjustments were made:

water consumption

2 cubic meters or less

the part above 2 cubic meters

charging standard

2.3 yuan per cubic meter

3.5 yuan per cubic meter < (5 points)

Independent exhibition platform:

1 A cylinder with a bottom diameter of 24 cm is filled with water, and a conical plumb hammer with a bottom radius of 4 cm is submerged in the water. When the plumb hammer is taken out of the water, the water level drops by 1 cm. What is the height of the plumb hammer?

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