Fibonacci QuestA number of self marking quizzes based on the fascinating Fibonacci Sequence. 
This is level 1; Continue the basic Fibonacci sequence.
This is the basic Fibonacci sequence. Each term can be found by adding the previous two terms together. So the third term, 2, was found by adding the two ones together.
Can you fill in the gaps to show more terms of the Fibonacci sequence?
The original problem that Fibonacci, an Italian mathematician, investigated (in the year 1202) was about how fast rabbits could breed.
Starting with one pair of rabbits, a male and a female, and assuming that rabbits are able to mate at the age of one month. At the end of the second month a female can produce another pair of rabbits. Assuming that the rabbits never die and that the female always produces one new pair every month from the second month on, how many pairs will there be at the end of each month?
This is Fibonacci Quest level 1. You can also try:
Level 2
Level 3
Level 4
Level 5
Level 6
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 



Transum.orgThis web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available. Please contact me if you have any suggestions or questions. 
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk: "Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!" Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School: "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." 


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Level 1  Continue the basic Fibonacci sequence
Level 2  Continue the Fibonacci sequence in reverse
Level 3  Find algebraic expressions for each term of a Fibonacci sequence
Level 4  Finding the ratio of two successive numbers in Fibonacci's sequence
Level 5  Investigate the highest common factor of every nth term of the Fibonacci sequence.
Level 6  Finding missing terms from Fibonaccitype sequences.