Why won't my apps update?

If you iPad has been stuck on iOS 10, then you own an over 8-year old iPad 4th generation.

There is no more support, at all, for 8 and 9-year old iPads.

So, it is possible that some of your older iOS apps on that device may very well have stop working functioning.

Your iPad is too old, now.

Sorry.

If you need/want updated apps, then you to seriously consider a brand new iPad model or a “newer” , used iPad model capable of running the latest iPadOS 14 versions.

There are plenty of newer, older iPad models that can run the current iPadOS 14.

Sorry & Best of Luck to You!

The tags appended to your post suggest that you have an iPad4. If your iPad is currently running, or cannot be updated beyond iOS 10.3.3/4, then you definitely have an iPad4.

Update support for iPad4 ended September 2017. The final iOS releases for this model were iOS 10.3.3 (WiFi Only models) and iOS 10.3.4 (WiFi & Cellular). iPad4 cannot be updated to any later major version of iOS as it lacks the minimum hardware requirements needed to run more recent versions. The 32-bit platform upon which the iPad4 is based is effectively obsolete.

Many App Developers have also dropped support for older devices and iOS versions preceding iOS11/12/13 - and have withdrawn older versions of their Apps from the Apple App Store. Withdrawal of Apps supporting older models of iPad is making their utility and usefulness significantly more limited. Once compatible versions Apps are withdrawn, you’ll not be able (re)download or (re)install them.

If Apps that you need to use now have higher minimum iOS-version requirements, your only option is to replace your iPad with newer model. Of current models, even the entry-level iPad8 supports current iPadOS 14 - and has hardware specifications and capabilities that vastly outperform your old iPad4.

I hope this information is helpful - if only in clearly stating the limitations of your iPad4 and your available options.