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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?

Lattice Points on a Line

Age 11 to 14 Short Challenge Level:

A point whose x and y coordinates are both whole numbers is called a lattice point.

How many lattice points are there in the first quadrant (where both x and y coordinates are positive) that lie on the line $3x+4y=59$?

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