There are many HSK test centers in Shanghai. Mandarin Morning which is not just a test center. It is more of a Chinese school where you can improve your Chinese. If you want to pass higher levels like HSK 5 or HSK 6, you may need have a good teacher to tell you how to well-prepared the exam and some skills to pass it.
You can easily register the exam online, and the school is located in the center of Shanghai, so the traffic is very convenient. Every month, there will be a test from HSK level 1 to 6. Hope everyone who has the test will have a good result.