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Thinking training questions in the first volume of sixth grade mathematics
First, fill in the blanks.

1. Fill in a number in each () so that the number in the next column starts with the third number, and each number is equal to the sum of the first two numbers, then the 10 number is ().

( ),( ),( ),( ),8,( ),( ),( ),55,( ),……

2. Four digits with high digits greater than low digits (A >;; B>c>d) has ().

At the Spring Festival Gala, 2008 colored lights (each controlled by a pull switch) were lit. Xiao Zhen pulls the switch numbered as multiple of 6 once, Xiao Cong pulls the switch numbered as multiple of 19 once, and Xiao Ming pulls the switch numbered as multiple of 29 once. At this time, there is a () color light.

Party A, Party B, Party C and Party D all bought an LCD TV. It is known that Party A's money is 1/3 of the other three people's total money, Party B's money is 1/4 of the other three people's total money, and Party C's money is 1/5 of the other three people's total money. The price of this TV is 2070 yuan.

5. Let the product of two digits be a four-digit formula "Beibei× Jingjing = Welcome to Beijing", where the characters represent the numbers 1, 2, 3, 4 and 5, and the same characters represent the same numbers, then Beibei× Jingjing = (); Four-digit "Welcome to Beijing" = ().

6. There are three concentric semicircles with diameters of 1, 3 and 5 respectively. Divide them into 9 pieces with line segments. As shown in the figure, if the letters in each square represent the area and the same letters represent the same area, then A:B= ().

Second, the application problem.

1. It takes 3 hours for Xiao Qiang to go from A to B by bike. If he walks 2 kilometers first and walks at the speed of cycling, he will be 20 minutes late. So how many kilometers is it between A and B?

2. Two construction teams, A and B, originally planned to undertake two projects, A and B respectively. As we all know, the work efficiency of construction team A is twice that of construction team B. If A and B undertake projects B and A respectively, the time to complete these two projects will be increased by 50% than originally planned. What is the proportion of engineering quantity between project A and project B?

3. The four students bought 10 different books, and the book numbers were 1 ~ 10 respectively. In order to save money and facilitate mutual circulation, they agreed that each student would only buy one of five different books, and no two students could buy all 10 books. Any three students must buy all these 10 books If the book number is 1, 2, 3, 4, 5; Bought books on the 5th, 6th, 7th, 8th and 9th; The book number I bought is 1, 2, 3, 9, 10. What is the book number of the book you want to buy?