专题一　　

1.    This is a number list:  　 　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　 so which one is No10?　　

2.     This is a number list 　　　　 so which one is No20?　　

3.    1, 3, 4, 7, 11, 18, 29, ____, ____.　　

4.    4+2, 5+8, 6+14, …what is the fiftieth?　　

5.    　　　　,___　 　　　___　　

6.    November 31^st, 2006 falls on Thursday, what day is November 31^st, 2008?　　

7.    In 2009, Janurary 1^st falls on Tuesday, on what day is of the week will be March 1^st in 2010?　　

8.    If [x] indicates the greatest integer less than X, and s=  　　　　      then [s] =______?　　

9.    If [x] indicates the greatest integer less than X, and s=　 　　　　　

   then [s] =______? 　　

10. Please put natural numbers from 5 to14 into the circle, making the sum of the numbers in each bigger circle 55.　　

11. Please put natural numbers from 1 to 8 into the pentagon(五边形), making the sum of the numbers in each pentagon 21.　　

12. 12121212…12，what is the remainder (余数) which is divided by 13? ____　　

13.  Put the prime numbers from 8 to 36 into the circles, making the sum of the cube are 78.　　

14. There is a number list  　　　　                                 　　

So which one is the 100^th?　　

15. There are 500 pages in a book, how many numbers are used?　　

16.1089 numbers are used in a book, how many pages are there in the book?　　

17.As is shown in the picture, in the Chinese chess, the horse follows the step in the shape of“日”，how many steps from A to B at least?　　

18. Define the operation *as 2*1=　 　　　 ,  3*2=　 　　　 , 4*3=　 　　　   then　　

 (6*2)÷(2*6)=­­­­­­­­­­­­­­­­___________　　

19. Two integers a and b, define the operation * as “a *b=a × b-a-b-1 , then(2*a) *2=0,so  a=­­­­____?