Name score
Fill in the blanks. (3 points for each question)
1), divide a circle evenly into several parts, and then put it into a rectangle. The length of the rectangle is 9.42 decimeters, the width is () decimeters, and the area is () square decimeters.
There are only two questions in the math exam. There were 42 people who answered the first question correctly and 48 people who answered the second question correctly. Each of the 60 people in this class answered at least 1 question correctly, so the number of people who answered all two questions correctly accounted for () 3 of the class. There is a pool of water. When water freezes, its volume increases by L/ 165438. When ice becomes water, its volume decreases ()
4) There are natural numbers whose plus 1 is a multiple of 2, plus 2 is a multiple of 3, plus 3 is a multiple of 4, plus 4 is a multiple of 5, plus 5 is a multiple of 6, and plus 6 is a multiple of 7. The smallest of these natural numbers except 1 is _ _.
5), with 0, 1, 2, 3, 4, at least the number () can be composed of three non-repetitive digits.
6) There are 40 students in one class, including math group 15 and model airplane group 18, both of which are 10. Then there are () people who don't participate in both groups.
7) There is a rope with a length of 180 cm. Make a mark every 3 cm and 4 cm from one end, and then cut off the marked place. The rope was cut into () sections.
8) The quotient of 50 divided by 7 has the fourth decimal place () and the thirtieth decimal place ().
9), a rectangle, if the height increases by 2cm, it becomes a square, then the surface area increases by 56 square decimeters, and the original cuboid volume is ().
10), the cuboid has a surface area of 3 14 square decimeter, a bottom area of 72 square decimeter, a bottom circumference of 34 decimeter and a volume of () cubic decimeter.
1 1), the surface area of the cube fish tank is 259.2 square decimeter, and the volume is () cubic decimeter.
12) Draw the largest square in a circle with a diameter of 10 cm, and the area of this square is () square cm.
13), the areas of three sides of a cuboid are 10 square decimeter, 15 square decimeter and 6 square decimeter respectively, so the volume of this cuboid is () cubic decimeter.
14), the known number A =2×a×3×7, the number B =2×3×b×5× 1 1, and A and B are coprime, and a≠b≠0 is the greatest common divisor of A and B.
15), two four-digit numbers A275 and 275B are multiplied so that their product energy can be divisible by 72. A is () and b is ().
16), the clock strikes 4 times at 4 o'clock and knocks out in 6 seconds; Then 12 points 12, () seconds to knock out.
17) put six regular triangles with a side length of 7 cm into a parallelogram, and the perimeter was reduced by () cm.
18) It is known that the ratio of the height of a cylinder to the radius of its bottom surface is 1: 2, and their volume ratio is (): ().
19) Huanhuan+Yingying+You = Welcome Huanhuan = () Yingying = () You = () Welcome you = ()
20) A box of eggs sold half the first time, the remaining half the second time, the remaining half the third time and the remaining half the fourth time. Finally, there are three eggs left in the box. There are () eggs in this box.
2. Solve problems (6 points for each question)
2 1), as shown in the figure, quadrilateral AB= 8cm CD=2cm, what is the area of quadrilateral ABCD?
22) A batch of grapes weighed 250kg when put into storage, and the measured water content was 99%. After a while, the water content was 96%. What is the weight of grapes at this time?
23) Party A and Party B walk opposite AB, meet at a distance of 600 meters from B, then walk, return after arriving at BA, and meet at a distance of 300 meters for the second time. What's the distance between AB and B?
24) For a water conservancy project, Party A works alone for 8 days, and Party B works alone for 4 days. With the cooperation of Party A, Party A takes a rest due to illness 1 day. How many days did Party B work when completing the task?
25) A cylindrical container, with a diameter of 8 decimeters from inside to outside, contains some water. Now use a graduated cylindrical rod with a length of 100 cm and a bottom circumference of 2.5 12 cm to measure the water surface 3 minutes away from the upper end of the container. Now, put a stone in it, then put the cylindrical rod into the water, show the scale of 6.5 decimeters, and find the volume of this stone.
26) After adding a certain amount of water to some salt water, the concentration of salt water decreased to 3%, and after adding the same amount of water, the concentration decreased to 2%. Q: How much does the concentration drop after adding the same amount of water?
27) The school bought four footballs and six volleyballs from Zhong Bai supermarket, and spent 660 yuan. Later, the unit price of football in supermarkets in Zhong Bai increased by 10%, and the unit price of volleyball was cheaper by 15%, so * * * needed 636 yuan. What is the unit price of football and volleyball?
28) Two cars, A and B, drive in opposite directions from A at the same time, and drive into B and C respectively. It is known that the distance between A and B is 9/ 10 of the distance between A and C. When car A travels 60km, the ratio of the distance traveled by car B to the remaining distance is 1: 3. At this point, the distance between the two cars and the destination is equal. Find the distance between a and C.
29) The number of workers in the second workshop of a factory is 75% of that in the first workshop. After the first workshop recruited several workers, the number of workers in the first and second workshops was 7:4. After the second workshop recruited several workers, the number of workers in the first and second workshops was 9:8. It is known that the second workshop will recruit 5 more people. So how many people are there in Workshop 2?
30) A ball fell into a cylindrical water tank, and one third of its height surfaced. It is known that the diameter of the bottom inside the water tank is 8 decimeters, and now the water depth is 90 decimeters, and the diameter of the ball is 6 decimeters. Take the ball out. It's 87 centimeters deep. Find the volume of the ball. (Sphere volume formula = pi * radius cube)