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For younger learners

  • Early Years Foundation Stage

From Random to Systematic

Students don't always know how to approach a problem systematically and often work in a random and chaotic manner. This collection of problems provides opportunities to discuss ways of organising and structuring ideas, and can be used to help draw attention to the benefits of working systematically.

Sticky Numbers and 1 Step, 2 Step include solutions that have previously been submitted to NRICH, so students may wish to try these problems first and then compare their own approaches with the published ones. Then they could go on to try M, M and M and Counting Factors, which are open for them to submit their own solutions.

Sticky Numbers

Age 11 to 14
Challenge Level Yellow star

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

1 Step 2 Step

Age 11 to 14
Challenge Level Yellow starYellow star

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

M, M and M

Age 11 to 14
Challenge Level Yellow star

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Counting Factors

Age 11 to 14
Challenge Level Yellow starYellow star

Is there an efficient way to work out how many factors a large number has?

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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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