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Your Number Was...

Age 11 to 14
Challenge Level Yellow star
Secondary curriculum
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One way to begin thinking about this is to collect together some outputs and their corresponding inputs:
 
 Finishing Number   Starting Number 
   
   
   
   
   


Can you write each step of the machine's instructions as a function machine?
What happens if you work backwards?
 

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Think of Two Numbers

Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

Special Numbers

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

Your Number Is...

Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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