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Bucket of Water
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?
How Far Does it Move?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
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 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.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.