Pascal's Triangle

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Exam-Style Description Help More...

Colour in the remainders when dividing
by four in different colours:

Remainder 0: Green
Remainder 1: Blue
Remainder 2: Purple
Remainder 3: Red

Click the hexagons to
change their colour.

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There is a printable worksheet to go with this activity.

Worksheet

 

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Description of Levels

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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

Level 7 - Learn about the binomial theorem by answering questions about expanding brackets

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

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Constructing Pascal's Triangle.

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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.


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