Science: How do we filter murky water?

Year 5 were given the task of removing mud and grit from a beaker full of dirty water. They were given a sieve, some beakers and filter paper and left on their own to figure it out.

Grit was left behind in the sieve. But the water was still dirty.
Then filter paper was used. However, without a funnel, it was very fiddly!
After the filter paper was used, the water came out almost clear!