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Fibs
The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21.... How many Fibonacci sequences can you find containing the number 196 as one of the terms?
Helen's Conjecture
Helen made the conjecture that "every multiple of six has more factors than the two numbers either side of it". Is this conjecture true?
Age 7 to 16
Challenge Level
Think of the overall picture as being made of:
a single length and turns of 45 degrees or 90 degrees
or
one large square and smaller squares, the lengths of whose sides you need to choose
or
small squares (you can draw one square, and the next, and the next, but where do you start each time?) and then the large square.
How about having a base length of 20 and start by turning through 45 degrees, something like:
RT 45
FD 20
FD 20
FD 20
FD 20
LT 90 ...
What am I drawing?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.