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For younger learners

  • Early Years Foundation Stage

Building Patterns

Age 7 to 11
Challenge Level Yellow star

pattern of bottle tops
Look carefully at the pattern above.
What do you notice?
Estimate the number of bottle tops that have been used. Now count them.
Are the colours important? Does that help you count up more quickly?
What do you think was in the mind of the girl that designed this?
Why not take some counters and see if you can detect what it is she was trying to do?
Just what was her "rule"?
arrangement of cubes
Similarly what is happening here?
Estimate how many cubes have been used.
Look carefully ... there are four different colours used in this construction ... How many of each are used?
Are you sure? Check carefully.
What rule was used to join them?
How will the design continue?
After two more stages how many cubes will you have used?

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Month Mania

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

Neighbours

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

Page Numbers

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

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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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