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Coordinate Patterns

Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

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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.