I. Fill in the blanks (26 points)

1. The highest digit of the nine digits is the smallest prime number, the smallest composite number in a million digits, the largest digit in a thousand digits, the smallest digit in a hundred digits, and the rest digits are all zeros. This number is written as ().

The unit of 2.3/8 score is (), and the mantissa after omitting 10,000 is ().

3. The sum, difference and quotient of a natural number and its own addition, subtraction and division add up to exactly 1 1, and this natural number is ().

4. The company commander of a square increases by110, the area increases by ()%, and the perimeter increases by ()%.

5. The average of A, B and C is 17, the average of A and B is 15, and the number of C is ().

6. When three digits are divided by 58, the quotient A is greater than B (both A and B are natural numbers), and the maximum value of a+b is ().

7. Subtract a number from the denominator of the simplest fraction 13/27, and add the same number to the numerator, then the new fraction can be turned into 3/5, and this number is ().

8. In 20/x, when x (), the decimal value is less than1; When x (), the decimal value is equal to1; When x (), the decimal value is greater than 1.

9. The sum of 1/4 of A and 2 times of B is expressed as () by a formula containing letters. If a = 8 and b = 5, the value of the above formula is ().

10. The scale of a picture is rewritten into a digital scale (). If the distance between the two places on the map is 3 cm, then the actual distance between the two places is ().

1 1. It takes 15 days for three people to finish a job, and () days for five people to finish the job.

12. In one class, 20 students take part in the language contest, 18 students take part in the math contest, and 6 students take part in the language and number contest at the same time. There are () people in this class who took part in the language and number contest.

13. It is known that the diameter of the bottom of a cylinder is 4 decimeters, and its sides are just squares, so the volume of this cylinder is () (accurate to 0.0 1).

14. 150kg minus its 1/6, minus 1/6kg, the result is () kg.

15. Number A and number B, if the decimal point of a number is shifted to the left by one place, it is equivalent to 20% of number B. Then the number a: the number B = ().

16. Give 16 candy to several children, and each child will get a different amount of candy, up to () children.

17. If the area of a rectangle is 16 square centimeter, then the length is twice as wide, and the area of a circle is ().

18. It takes 4 hours for a car to go back and forth between A and B, but it takes () hours to speed up when it comes back 17.

Second, the judgment (8 points)

1. Cut a piece of tofu three times, and you can cut up to seven pieces. ( )

2.if 1A； 7-b()

3. The denominator of the fraction 3645 contains a prime factor of 3, so this fraction cannot be reduced to a finite decimal. ()

4. The volume of cones is 13 of that of cylinders, so their bottoms and heights must be equal. ( )

5. The price of a commodity first rises 16 and then falls 17. The current price of this commodity is the same as the original price. ( )

6. The degree ratio of the three internal angles of a triangle is 4: 3: 3, which is an acute triangle. ( )

7. The circumference of a semicircle is not equal to half the circumference. ( )

8. The area of a triangle is constant, and its base is inversely proportional to its height. ( )

Third, choose

1. As shown in the figure, the shaded area accounts for () of the total area.

a 18 B 19 C 1 10D 15

2. With the straight line on one side of the rectangle as the axis, you can get a () by rotating the rectangle once.

A cuboid b cylinder c cone

3. Divide the circle into two parts, A and B (AB is the two endpoints of A smuggling), as shown below, so the comparison between these two parts is ().

A circumference is equal, B area is equal, C circumference is longer and D area is larger.

4. Selling a pen at 100 yuan can earn 25%, and selling it at 120 can earn ().

A 60% B 50% C 27 D 35

5. When athletes practice long-distance running, the speed is 5% higher than before, and the time is reduced ()

A.5% B. 12 1

6. There are four children. If A is lighter than C, but heavier than D, and D is heavier than B, then the heaviest of the four is ().

A.A B. B C. C D. D

7. Take a rectangular iron sheet with a length of 8 decimeters and a width of 6 decimeters, enclose it into a round barrel, and add the bottom to form a cylindrical barrel. The maximum volume of this barrel is ().

a 72лb . 96лc . 144лd . 48л

8. There are () ways to divide a square into two identical parts with a straight line.

A.2b.4c Countless D. None of the above answers are correct.

Third, calculation

1. Write directly (8 points)

4.8-3.09 3.6× 1 12 198+397 1.25×0.8- 1%

6.7+3 1÷ 1 199 3.5×2 17 + 10 17 12 × 13 ÷ 12 × 13

3.6×99 2.4×5 (3.6+7.2)÷0.9 5-4÷45

7.2÷0.04 5. 1×8 17 0.375- 18 367- 198

2. Off-model calculation (simplify if it can be simplified, 16)

0.24÷523 +0.24×525 7 10 ×9.4+85 ×0.7-70%

178× 178 179 777×9+37× 1 1 1

2.75÷[ 15×(2- 13 )+2.5] (4.8×7.5×8. 1)÷(2.4×2.5×2.7)

3.8×4.5÷(3.2-2.95) 73×4 +74×5 +75×6 +……+799× 100

3. Find the unknown X.

16:28 = x:0.25 53x = 29 0.75: 1 1 12 = x 0.05

12:9 14 = 289:x 4.2×5÷(x+5)= 3 x+(3x- 16)÷25% = 10(x+ 1)

4. Column calculation (6 points)

60% of what number is 0. 1 more than 25? (Equation solving)

10.6 minus the product of 0.4 and 5.5, and the difference is divided by 2. 1. What is the quotient?

Verb (abbreviation of verb) operation (6 points)

1. Cut the vase into rectangles with a knife. How do you think it's appropriate to cut it? Please draw a schematic diagram.

A rectangular piece of paper has a round hole. Please draw a straight line on the picture and divide it into two parts with equal area.

Six, the application problem (30 points)

1. Master Zhang processed a batch of parts. Initially, he planned to produce 50 pieces a day. In order to finish it 10 days in advance, he improved his efficiency and made 75 pieces a day. How many days will Master Zhang have to work? (Equation solving)

In the math contest, 90% of the girls are boys. If there are 9 more girls, there are more girls than boys 13. How many girls are there in the math contest?

3. It takes 65,438+00 days, 65,438+05 days and 20 days for Party A, Party B and Party C to do a project alone. Now three people cooperate, Party A has a rest of 2 days, Party B has a rest of 3 days, and finally Party C has a rest of 4 days. How many days did it take to complete this project?

4. From A to B, the distance of Mary by train is 765,438+00. The distance ratio between the car and the bicycle is 2: 65,438+0. It is known that the distance by car is less than by train 150 km. What is the distance between a and b?

5. Add 30 liters of water to 20% alcohol solution, and the concentration will become 15%. How many liters of pure alcohol will be added, and the concentration will become 25%?

6. As shown in the figure on the right, the area of the right triangle is known as12cm2, and the area of the shaded part is found.