Colour the ring of 6 connected hexagons
that have a sum of 10 in green.
Colour the 2 rings of 6 connected
hexagons with a sum of 37 in blue.
Colour the 3 rings of 6
connected hexagons that have
a sum of 82 or 434 in purple.
Colour the 4 rings of 6
connected hexagons that
have a sum of 145 or
2244 in red.
Continue the
pattern
There is a printable worksheet to go with this activity.


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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