You may also like

Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

Consecutive Numbers

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

Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

Buckets of Thinking

Age 7 to 11
Challenge Level


There are three buckets: one red, one blue and one yellow. They each hold a maximum of $5$ litres.


three buckets

Liquid is measured carefully in whole litres and poured into the buckets, a different number of litres in each one.

If the liquid in the red bucket was poured into the blue bucket, it would then contain the same amount of liquid as the yellow bucket.

Half the contents of the yellow bucket is the same as twice that in the red bucket.

How much liquid is there in each bucket?

You may now want to try More and More Buckets

This problem is also available in French: Question de chaudières.