1 out of 3
Find the relationship between the locations of points of inflection, maxima and minima of functions.
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Can you deduce which Olympic athletics events are represented by the graphs?
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Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
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When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
This article for teachers outlines issues to consider when developing an environment in which problem solving can thrive and links to a range of related NRICH tasks.
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Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
In this article for teachers, Liz Woodham describes conversations with Luke, aged 7, as they worked on some mathematics together.
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Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
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Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
