What is the best way to separate toothpicks and marbles?

By filtration, do you mean putting them in water? Toothpicks float and marbles do not.

yes you put them in water

Use a Filtration to separate the two.

To separate toothpicks and marbles, the best way would be to use a mechanical method that exploits the physical properties of each item. Here are a few steps you can follow:

1. Gather a container that is wider than the toothpicks and marbles. For example, you can use a wide-mouthed glass jar.
2. Fill the glass jar with a mixture of toothpicks and marbles.
3. Close the jar tightly with a lid or cover.
4. Hold the jar firmly with one hand and shake it vigorously in an up and down motion. This will cause the toothpicks and marbles to interact with each other.
5. Allow the jar to come to rest, and you will notice that the toothpicks have a higher likelihood of settling towards the top, while the marbles tend to settle towards the bottom.
6. Carefully open the jar and use tweezers or your fingers to separate the toothpicks from the marbles, taking care not to mix them back together.

By shaking the jar, you are using the principles of density and size to sort the toothpicks and marbles. The marbles, being denser and heavier than the toothpicks, tend to settle towards the bottom as the jar comes to rest. Conversely, the lighter toothpicks have a higher chance of settling towards the top of the jar. This method allows for a relatively efficient separation of the two items.