Fill in the blanks

1. Calculation: 2006× 2008× () =

2. The number of zeros at the end of * * * is _ _ _.

3. A kindergarten class has 100 apples distributed to children, and it is known that at least three apples have been distributed. Then, there are at most _ _ _ children in this class.

4. If a two-digit number subtracts its reverse order number (for example, the reverse order number of 92 is 29 and the reverse order number of 30 is 3), the difference is greater than 0 and can be divisible by 9. Then, there are _ _ _ _ such two-digit numbers.

5. Among the eight digits written with eight different numbers, the largest number that can be divisible by 36 is _ _ _ _.

6. A train is 152 meters long and has a speed of 63.36 kilometers per hour. A man walked across the train, and the whole train passed him for 8 seconds. This man's walking speed is _ _ _ _ meters per second.

7. Multiply the circulating decimal with to get an approximate value, and it is required to keep one hundred decimal places. Then, the last decimal place of the approximation is _ _ _ _.

8.a has 265,438+06 glass balls, and B has 54 identical glass balls. After two people give each other balls, after eight times, A has eight times as many balls as B. On average, A gives B less balls each time.

9. Between12, write 3 for the first time; The second time was at 1, 3; Write 4 and 5 between 3 and 2 (as shown in the figure below), and write the sum of two adjacent numbers between them at a time. This process is repeated eight times. So, the sum of all numbers is _ _ _ _ _.

1……4……3……5……2

10. The length of two right-angled sides of a right-angled triangle is a whole centimeter and the area is 59.5 square centimeters. Take four identical triangles at a time and enclose (do not overlap or cut) a figure with two square patterns (as shown in the figure). In all closed square patterns, the area of the smallest square is _ _ _ _ square centimeters, and the area of the largest square is _ _ _ _ _.

Step 2 solve the problem

1 1. A pool with a serial number? All five water inlet pipes are filled with a pool of water. What if they are opened at the same time? 1 water pipe can be completed in 7.5 hours; What if you open it at the same time? 1 water pipe, which can be completed in 5 hours; What if you open it at the same time? 1 water pipe, which can be completed in 6 hours; What if you open it at the same time? 1 water pipe can be completed in 4 hours. Open these five water pipes at the same time. How many hours can it fill the pool?

12. There are large, medium and small marble boxes in the store, which contain 13,1,and 7 marbles with the same specifications respectively. If someone wants to buy 20 marbles, they don't have to open the box (a big box plus a small box is enough). If you want to buy 23 marbles, you must open the box and sell them. Can you find one?

13. A square cake with a thickness of 4 and a side length of 15, with a thin layer of cream on the upper surface and side, should be distributed to five children. How can I cut five cakes with equal volume and equal cream layer area?

14. A project can be completed by Party A alone for 63 days, and then by Party B alone for 28 days; If two people, a and b,

The cooperation will take 48 days to complete. Now Party A does it alone for 42 days, and then Party B does it alone, and Party B will withdraw.

How many days will it take?