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Is it important to sort out and review the sixth unit of the sixth grade math volume?
Not very important. I'd like to recommend several Olympic math problems to you, starting from the sixth grade:

1, both parties built1875m expressway at the same time, which took 25 days. When completed, Team B repaired125m less than Team A, and Team B repaired 35m on average every day. How many meters does Team A repair on average every day?

2. It takes 8 hours for the express train to arrive in bilibili and 12 hours for the local train to arrive at Station A. If the express train and the local train leave from Station A and bilibili at the same time, the express train will travel more than the local train when they meet180km. How many kilometers is it between Station A and bilibili?

3, a movie ticket 20 yuan, after the price reduction, the audience has doubled and the income has increased by one fifth, so how much is the price reduction of a ticket?

4. Two trains, A and B, leave from A and B relatively simultaneously. After 3.2 hours, the distance between the two trains is still 5/8. How many hours will it take for the two trains to meet?

5, processing a batch of parts, A alone to do 30 hours to complete, B alone to do 20 hours to complete, now two people at the same time processing, B to complete the task, A 87, two people have the same number of parts, how many parts are there in this batch?

6. build a road in three days. 37% of the total length was repaired on the first day, and the ratio of meters repaired on the second and third days was 4:5, and 64 meters were repaired on the second day. What is the total length of this road?

7. Red Star Shoes Factory produces a batch of children's shoes for packaging. If 70 pairs are packed in each box, 5 boxes are not enough; if 44 pairs are packed in each box, 7 boxes can't be packed. Finally, it is decided to pack A pairs in each box, which just fills the A box, and there is no extra. How many pairs of children's shoes are there

8. There are two barrels of oil. After 1/4 is used in the first barrel, the mass ratio of the rest to the second barrel is 3:5. The first barrel was originally filled with oil18kg, and how many kilograms was originally filled in the second barrel?

9. The bus departs from location A, while the truck departs from location B relatively simultaneously. After a period of time, the bus has traveled 7/8 of the whole journey, and the truck has traveled more than 54 kilometers. It is understood that buses travel 90 kilometers more than trucks. How many kilometers is it between A and B?

10, car A and car B leave from A and B respectively at the same time. When the A car arrived at 7/ 1 1 of the whole journey, the B car continued to drive at a speed of 40 kilometers per hour, and then drove 154 kilometers to arrive at A ... How many hours did it take for a car to start the meeting?

1 1. To produce a batch of parts, Party A can produce 70 parts per hour, and Party B needs 10 hour alone. Now Party A and Party B are working at the same time. The proportion of parts produced by Party A and Party B is 4:3. How many parts does Party A produce?

12. A store bought a batch of cloth shoes at the price of 6.5 per pair and sold them at the price of 8.7 yuan. When it sold 3/4 of these cloth shoes, it not only recovered the original cost, but also made a profit in 20 yuan. How many pairs of cloth shoes did it buy?

13, warehouse a and warehouse b each have a batch of rice. It is known that the rice in warehouse A is 18 tons more than that in warehouse B. If warehouse B gives warehouse A 6 tons, the rice in warehouse B is 4/7 of that in warehouse A. How many tons of rice are there in warehouse A?

14. There are male workers in the first workshop of textile mill 120, and the number of male workers is 5/6 of that of female workers. It is known that the number of workers in the first workshop accounts for 25% of the total number. How many people are there in this workshop?

15. It takes a bus from A to B 10 hour, and a truck from B to A 15 hour. Both cars leave from two places at the same time. When they met, the bus traveled 90 kilometers more than the truck. What's the distance between a and b? How many kilometers did the bus and truck travel when they met?

16. The bus and the truck travel in opposite directions from A and B at the same time and meet at a distance of 6 kilometers from the midpoint. As we all know, the speed of a truck is five-quarters of that of a bus. How many kilometers is it between A and B?

The ISBN ratio of 17, A, B and C is 7:9: 12. It is known that the sum of A and B minus their difference is 70. How many books are there in each of the three books?

18. Distribute 180 books to Class A, Class B and Class C. It is known that Class A has 24 fewer books than Class B, and Class C has more 12 books than Class B. What is the proportion of books distributed among Class A, Class B and Class C?

19. There are 90 sixth-grade students in a school, including 4/7 boys, 2/3 girls and 56 students. How many boys and girls are there?

20. Bank deposit for one year, with an annual interest rate of 2.25% and personal income tax due of 20%. Time deposit for three years, with an annual interest rate of 2.7%, personal income tax at maturity of 20%, and national debt for three years, with an annual interest rate of 2.89%, without personal income tax. Mother saved 30 thousand yuan in the bank for three years. If it were you, how would you deposit this 30 thousand yuan? How much more can I get back than my mother?

2 1. For a cylinder with a bottom radius of 6 cm, the surface area of the remaining cylinder is reduced by 188.4 cm2 compared with the original cylinder after cutting the section parallel to the bottom. How many cubic centimeters is the volume of this section?

22. A cube with a side length of 4 cm. Dig a cube with a side length of 1 cm in the center of the front, back, left, right, top and bottom to make a toy. What is the surface area of this toy?

23. The perimeter of a parallelogram is 90cm, and the heights of two adjacent sides are16cm and14cm respectively. What is the area of this parallelogram?

24, a right-angled trapezoid, the length of the upper bottom is 4/7 of the lower bottom. If the upper bottom is increased by 7 meters and the lower bottom is increased by 1 meter, the trapezoid will become a square. What is the area of the original trapezoid?

25. There is a trapezoid. The length ratio of the upper sole to the lower sole is 7:3, and its height is 10 cm. If you subtract 12 cm from the upper bottom and increase 16 cm from the lower bottom, the trapezoid becomes a rectangle. How many square centimeters was the original trapezoid?

26. A rectangle and a circle have equal perimeters. It is known that the circumference of a circle is 31.4cm, and the ratio of width to length of a rectangle is 1:4. How many square centimeters is the area of a rectangle smaller than that of a circle?

27. In a cylindrical water storage bucket with a bottom radius of 30 cm, the water depth is 20 cm. When an 80 cm long cylinder is vertically inserted into the bottom of the bucket, the water depth in the cylindrical water storage bucket reaches 35 cm. How many cubic centimeters is the volume of this cylinder? (Numbers are reserved as integers)

28. A cuboid block is 20cm long,15cm wide and 8cm high. Saw it into four equal parts. What is the sum of the surface areas of these four small cuboids?

29. A cuboid ingot has a circumference of 20 decimeters at the bottom, an aspect ratio of 4: 1, and a height 40% smaller than the width. It can be cast into a cone 3 meters high. What is the bottom area of the cone?

30. There are two rectangles, one is 5 cm wide and the other is 4 cm long. The sum of their areas is equal to 42 cm 2. If the length of the first cuboid and the width of the second rectangle remain the same, the width of the first rectangle is doubled and the length of the second rectangle is increased by 1cm, then the sum of the areas of the two new rectangles is 33cm2 larger than the original, and the first rectangle is found. (Equation solving)

3 1, a rectangular iron sheet with a width of 16 cm, cut off its four corners with a square with a length of 4 cm on each side, and then weld it into an iron box without a cover on it. If the volume of this box is 768 cubic centimeters, how many square centimeters is the original iron sheet? (Equation solving)

32. A cuboid iron block with a length of 9 cm, a width of 7 cm and a height of 3 cm and a cubic iron block with a side length of 5 cm were cast into a cylinder. The diameter of the bottom of the cylinder is 20 cm, and the height is how many cm?

33. Each student's desk and chair in the classroom should be 0.8m wide and 1m long. The distance between tables and chairs in each row should be 0.4m, and the first row should be 2m away from the blackboard. If 40 people sit in 6 rows, what is the minimum area of the classroom?