Searching Algorithms
What is Searching?
In Computing, the word search means finding a particular value in a list of sorted values. It is a technique similar to searching for an answer using the trial and improvement method of solving an equation for GCSE Maths.
Searching and sorting should really be considered together. These search algorithms only work on sorted data, and time spent sorting your data will save time when searching. This how much easier it is to find a book or a CD on your shelf if they are in order  and how finding a book in a library would be nearly impossible if the books weren't sorted.
Investigate
The KS3 National Curriculum for Computing says that students need to be aware of different types of algorithms. This page compares the two most common searching algorithms  the linear search and the binary search  to find the whole number that you are thinking of.
Guesses
Search
Questions

Which of these searches found your number more quickly?

Does the number you choose make a difference? Could you choose a number that would make the linear search faster than the binary search?

On average, how many guesses would the linear search make? What is the maximum number of guesses that the binary search needs?
There are examples of linear and binary searches programmed in BASIC and Python. Try changing the program so that it finds a number from 11000  how many guesses does the binary search need then?
There is also a similar page that allows you to compare sorting algorithms.