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Spiral Snail

A snail slithers around on a coordinate grid. At what position does he finish?

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Bucket of Water

Weekly Problem 2 - 2006
Lisa's bucket weighs 21 kg when full of water. After she pours out half the water it weighs 12 kg. What is the weight of the empty bucket?

Linear Area

Age 11 to 14 Short Challenge Level:

The lines $y=-2$, $y=4x+6$ and $x+y=6$ enclose a triangle.

Find the area of the triangle.

Try to do it without plotting the lines - just use a sketch!



This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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.
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