### Coordinate Patterns

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

### Spiral Snail

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

### 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.