### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Calendar Capers

Choose any three by three square of dates on a calendar page...

### Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

# Lattice Points on a Line

##### Age 11 to 14 ShortChallenge Level

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

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

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