3. (3 points) Calculate the multiplication of fractions according to the new method below (3)/(5)xx(2)/(7)\frac{3}{5} \times \frac{2}{7} , and write the process clearly.
The various multiplications we have learned may seem different, but in fact they are all the same, all about counting units and the operation of numbers.
2. Fill-in-the-blank questions (0.5 points per grid for question 5, 1 point for each other grid, a total of 17 points)
4. (2 points) This year is the 40th anniversary of the establishment of Jiangbei District, and Jiangbei's economy is running well in the first quarter, with a per capita disposable income of 25,761 yuan, a year-on-year increase 4.9%4.9 \% . The number on the horizontal line is rewritten as the number qquad\qquad in units of ten thousand, and the last digit after the omitted ten thousand is about ten thousand.
5. (2 points) Divide (3)/(4)\frac{3}{4} the tons of goods into 5 times evenly, and the total amount of goods qquad\qquad transported away each time will be transported away each time.
6. (1 point) A two-digit decimal place, rounded to reserve one decimal place is 3.5, and the maximum number is qquad\qquad .
7. (1 point) Known 4a=b4 a=b ( a、ba 、 b neither is 0), then aabbqquad\qquad proportional to .
8. (2 points) As shown in the figure on the number line, if the dot BB represents 0 and the dot DD represents 1, then the dot EE represents and qquad\qquad the dot AA represents qquad\qquad ; If the dot BB represents 0 and the dot FF represents 1, then the dot GG represents and qquad\qquad the dot AA represents qquad\qquad .
9. (1 point) Teacher Li deposited 20,000 yuan in the bank, deposited and withdrawn for 3 years, 2%2 \% calculated at an annual interest rate, and a total of interest yuan could be taken at maturity.
10. (1 point) Do a job, and it is known that the time (1)/(4)\frac{1}{4} required for A to complete the work alone is equal to the time (1)/(6)\frac{1}{6} required for B to complete the work alone
The ratio of work efficiency of A and B is qquad\qquad .
11. (1 point) Pour water into a cuboid container, the height of the water surface changes with the volume of the water (as shown in the figure), the volume of this container is dm^(3)d m^{3} .
Water surface height/decimeter
12. (1 point) The sum of the edges and lengths of a cuboid is 36 cm, and the ratio of length, width, and height is 4:3:2, then the volume of this cuboid is cubic centimeters.
13. (1 point) At least qquad\qquad one of the 13 children was born in the same month.
14. (1 point) There are two club activities, and 30 students in the class sign up to participate, each of whom participates in at least one, some (2)/(3)\frac{2}{3} of whom participate in the science and technology club, and (4)/(5)\frac{4}{5} the students participate in the literary and art club. qquad\qquad Some people participated in two club activities.
15. (1 point) The diameter of the base of a cone is 4 cm, and after being cut in half along the diameter, the surface area increases by 12 square centimeters, and the original volume of the cone is qquad\qquad cubic centimeters.
16. (2 points) Use four small sticks to form a square, and place them in order according to the rules, placing the fifth one requires qquad\qquad a small stick, and the nn one needs a small stick.
1st
2nd
The third one
3. Multiple-choice questions (1 point per question, 15 points in total)
17. (1 point) The following object has a mass of about 1 ton ( ) A． 100 school bags for classmates B． 100 cups of coffee C． 100 students D． 100 apples
18. (1 point) A rope, cut off the first time (2)/(7)\frac{2}{7} , cut off the (2)/(7)\frac{2}{7} meter for the second time, the first cut is longer than the second time, it turns out that this rope A. longer than 1 meter B. Shorter than 1 meter C. is equal to 1 meter D. Uncertain
19. (1 point) Teacher Wang insists on walking to work every day, according to the 60∼7060 \sim 70 meter that an adult can walk per minute, Mr. Wang's house is about 2 kilometers away from school, and he walks about a minute to work every day.
A． 10
B． 20
C． 30 D. 60
20. (1 point) The "8" and "3" in the following four formulas can be directly added and subtracted ( )
A． 184+362184+362
B． 0.81-0.030.81-0.03
C．(8)/(9)+(3)/(4)\frac{8}{9}+\frac{3}{4} D. 2.78-(3)/(100)2.78-\frac{3}{100}
21. (1 point) "Goldbach conjecture" It means: any even number greater than 2 can be expressed as the sum of two prime numbers. Among the following four formulas, the following formulas that meet this conjecture are ( )
A． 68=51+1768=51+17
B． 40=17+2340=17+23
C． 19=2+1719=2+17 D. 6=1+56=1+5
22. (1 point) There are four sentences about the meaning of the shadow part in the picture, please judge, ( )
(1) Indicates (1)/(2)\frac{1}{2} the hectare (3)/(5)\frac{3}{5}
(2) Indicates (3)/(5)\frac{3}{5} hectares (1)/(2)\frac{1}{2} (3) Indicates 1 hectare (3)/(5)\frac{3}{5} of (4) Display 3000m^(2)3000 m^{2} A. Two sentences are correct B. There are three sentences that are correct C. All four sentences are correct D. All four sentences are wrong
23. (1 point) As shown in the figure, there are 27 identical small cubes assembled into a large cube, and a small cube is taken out of it, to make the remaining graphic surface area the largest, it should be ( ) A. Take (1). B. Take away (2). C. Take (3). D. Take (4).
24. (1 point) The following statement is correct ( ) A. Two composite numbers cannot be coprime numbers. B. Two prime numbers cannot be coprime numbers. C. Two even numbers may be coprime numbers. D. Two odd numbers may be coprime numbers.
25. (1 point) The length of the two sides of a triangle is , 10cm、7cm10 \mathrm{~cm} 、 7 \mathrm{~cm} and the circumference of this triangle may be ( ) cm.
A． 20
B． 20.5
C． 34 O.C. 34.5
26. (1 point) In (3)/(8)、(3)/(12)、(11)/(24)、(21)/(42)、(99)/(125)\frac{3}{8} 、 \frac{3}{12} 、 \frac{11}{24} 、 \frac{21}{42} 、 \frac{99}{125} the five fractions, there are ( ) common that can be converted into finite decimals.
