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'Mathematical Swimmer' printed from https://nrich.maths.org/
Why do this
problem?
This problem
involves calculating with fractions and also uses knowledge of
factors and multiples. It is a difficult problem that requires
clear and logical thinking.
Key questions
How do you think you can start on this problem?
Would it help to make a list of some prime numbers?
Why not think of numbers which have many factors and try
them?
Would it help to make a list of numbers which have many
factors?
Why not start with $12$? What are its factors?
Are all the numbers up to $12$ either a prime number or a
fraction that will simplify?
Now do you think you can try with larger numbers?
Possible extension
Learners could on to
Peaches Today, Peaches
Tomorrow.
Possible support
If learners are finding coping with fractions are very difficult
suggest trying this Stage 2 problem,
Fractions Made
Faster or even
Fractional
Wall.