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 31st, 2006 falls on Thursday, what day is November 31st, 2008?
7. In 2009, Janurary 1st falls on Tuesday, on what day is of the week will be March 1st 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 100th?
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=____?