A 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?
Try 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.
This 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.
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 2 May 'Starter of the Day' page by Angela Lowry, :
"I think these are great! So useful and handy, the children love them.
Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.
The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.
There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.
A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.
Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.
If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:Subscribe
Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.
Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.
If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:
Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.
© Transum Mathematics 1997-2020
Scan the QR code below to visit the online version of this activity.
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 Fibonacci-type sequences.
More Sequences including lesson Starters, visual aids, investigations and self-marking exercises.
See the National Curriculum page for links to related online activities and resources.
Arthur Benjamin gives a TED talk on Fibonacci numbers.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.