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  • Early Years Foundation Stage

Put Out the Flags

Age 11 to 14
Challenge Level Yellow star
  • Problem
  • Getting Started
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Why do this problem?

This problem gives practice in calculating with percentages. It can be approached by trial and improvement but the equivalence between fractions and percentages is very useful.

Key questions

What fraction is $50$%? and $35$%?
What would be a sensible number to try first?
Do you think they will not have a whole number of flags?
Tim could have $100$ flags but could he have less than $100$ flags?
If $50$% of Tim's flags are blue, what does this tell you about the number of flags Tim must have?
As $35$% of Tim'??s flags are red, what does this tell you about the number of flags Tim must have?

Possible extension

Learners could devise and solve a second part to the question, similar to that one in the problem.

Possible support

Suggest working with counters or drawing the flags starting with a suitable arbitrary number and working by trial and improvement.

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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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