Exploring and noticing

There are 412 NRICH Mathematical resources connected to Exploring and noticing
Back in Time
problem

Back in time

Age
14 to 16
Challenge level
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How many times a day does a 24 hour digital clock look the same when reflected in a horizontal line?
Halloween Day
problem

Halloween day

Age
11 to 14
Challenge level
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One year there were exactly four Tuesdays and four Fridays in October. On what day of the week was Halloween.
Collatz-ish
problem

Collatz-ish

Age
14 to 16
Challenge level
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A sequence is generated using these rules. For which values of n is the nth term equal to n?