The tags appended to your post suggest that your have an iPad mini with iOS9 installed. The iPad2, iPad3 and iPad mini1 can only be updated to iOS 9.3.5 (WiFi Only models) or iOS 9.3.6 (WiFi & Cellular models).
Apple ended update support for these models in September 2016. These models of iPad cannot be updated to iOS 10, or later major versions of iOS, as the internal hardware does not meet the minimum technical requirements for new versions of iOS/iPadOS. This limitation cannot be bypassed; these are 32-bit architecture devices, whilst all recent versions of iOS/iPadOS are designed for 64-bit hardware platforms. iPad2, iPad3 and iPad mini1 are obsolete.
You need to consider that compatible Apps for 32-bit are no longer available for download. App Developers have dropped all support for 32-bit devices - and many for iOS versions preceding iOS11/12/13. As all 32-bit versions of Apps have been removed from the Apple App Store, you’ll not be able to (re)download or install them - which may severely limit the usefulness and utility of your iPad. All currently available Apps require 64-bit devices; this is the cause of the insurmountable App compatibility problem that you have.
As such, if you want or need to access current Apps, requiring a more recent version of iOS than your iPad is capable, you’ll need to consider replacement of your iPad with a newer or current model.
Of current models, even the entry-level iPad9 has specifications and capabilities that will massively outperform you current iPad - supports iPadOS 16.x - and is compatible with the vast majority of current Apps. Other models of iPad are more powerful still.
Whether or not you are able to update any iPad to a newer version of iOS/iPadOS will be dictated by the iPad model - and the currently installed version of iOS. You can find this information here:
Settings > General > About
Not sure which iPad you have? Identify your iPad model.
For information, here is a list of the highest version of iOS supported by the older models of iPad (for simplicity - “generations” are shortened to a number) that are restricted in their ability to be updated:
32-bit devices (obsolete)
iPad1 - iOS 5.1.1
iPad2, iPad3 and iPad mini1 - iOS 9.3.5 (WiFi Only models), iOS 9.3.6 (WiFi & Cellular)
iPad4 - iOS 10.3.3 (WiFi Only), iOS 10.3.4 (WiFi & Cellular)
64-bit devices
iPad Air1, iPad mini2 and iPad mini3 - iOS 12.5.7
iPad Air2, iPad mini4 - iPadOS 15.7.6
Newer models are all able to be updated to the current version, iPadOS 16.5
- iPad Pro (all models)
- iPad Air (3rd generation and later)
- iPad (5th generation and later)
- iPad mini (5th generation and later)