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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?

First Forward Into Logo 10: Count up - Count Down

What happens when a procedure calls itself?

First Forward Into Logo 1: Square Five

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?