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Grouping Goodies

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Pat has no more than $20$ sweets in a bag.

seets

She counts her sweets in groups of two. She has one left over.

Then she counts her sweets in groups of five. She has $2$ left over.

How many sweets could Pat have? Is there another answer?


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. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.