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Mathsjam Jars

Age 14 to 16
Challenge Level Yellow star
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Does it help to work out the cross sectional area of each letter?

Can you picture how full each letter would be if one cubic centimetre of jam was poured in? What about two cubic centimetres?

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Parabolic Patterns

The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.

More Parabolic Patterns

The illustration shows the graphs of twelve functions. Three of them have equations y=x^2, x=y^2 and x=-y^2+2. Find the equations of all the other graphs.

Exploring Cubic Functions

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

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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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