Type the rest of numbers into this Pascal's
Triangle. The first six have already
been entered for you.
Click the HELP tab if you need a hint.
There is a printable worksheet to go with this activity.


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 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je: "I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson." Comment recorded on the 8 May 'Starter of the Day' page by Mr Smith, West Sussex, UK: "I am an NQT and have only just discovered this website. I nearly wet my pants with joy. 
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Go MathsLearning 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 main page links to more activities designed for students in upper Secondary/High school.  
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© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=773
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Level 1  Fill in the numbers on a blank triangular grid
Level 2  Colour in the even numbers to produce a surprising pattern
Level 3  Colour in the multiples of 3 to produce a surprising pattern
Level 4  Colour in the remainders when dividing by four in different colours
Level 5  Colour in sets of six connected hexagons that have given sums
Level 6  Use a calculator to find particularly large numbers from Pascal's Triangle
Exam Style Questions  A collection of problems in the style of GCSE or IB/Alevel exam paper questions (worked solutions are available for Transum subscribers).
More on this topic including lesson Starters, visual aids, investigations and selfmarking exercises.
History of Mathematics It's good to look back at the famous mathematicians and their work.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
Each number in Pascal's Triangle is the sum of the two numbers immediately above.
The numbers on the sloping outside edges are all one.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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Steven Strogatz, Twitter
Friday, February 18, 2022