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Double Trouble

Age 14 to 16
Challenge Level Yellow star
Secondary curriculum
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Watch the videos carefully.

For the first video, what happens to the area remaining as Charlie adds on each new fraction?

For the second video, what is the relationship between the new area added, and the total area?

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Just Opposite

A and C are the opposite vertices of a square ABCD, and have coordinates (a,b) and (c,d), respectively. What are the coordinates of the vertices B and D? What is the area of the square?

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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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