The most common Japanese counters is -tsu, which can be used to count almost anything. However, to count up to 10 with -tsu, you need to learn a special Japanese word for each number.
That's where this free Nihongo quiz will help: 10 questions to help you learn how to count to 10 with the -tsu counter. Here's another tip: -tsu only goes to 10. If you need to count higher (and don't know the exact counter for what you're counting), just drop the counter and say the plain Japanese number (juu-ichi, juu-ni, and so on).