JotForm is a free online form builder which helps you create online forms without writing a single line of code. No sign-up required.
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You can add another page by using the "Page Break" tool.
You can use the "Skip to a Page" condition so that once the user press the next button, the form will jump to the assigned page depending on the selected answer.
Here's the sample condition:
Hope that helps. If you need any help, let us know. Thank you.