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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?

Months and Years

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

The product of Mary's age in years on her last birthday and her age now in complete months is 1800.

How old was Mary on her last birthday?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  

This problem is taken from the UKMT Mathematical Challenges.
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