Does my Wi-Fi on my iPhone 4S running iOS 7 turn off when locked?

I want the Wi-Fi off when in sleep/locked mode. It drains the battery.

It doesn't turn off permanently while in sleep mode but it does partially turn off from time to time for maybe a minute or two in every 10 minutes.

Yes lock turns off the phone data

No, you will have to put it in airplane mode from control center or settings.