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.


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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 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!" 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!" 
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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.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™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 donâ€™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