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On Xbox One, subscribers will be able to download V-Rally 4 (normally $59.99/£45.99) for free throughout May.
Warhammer 40,000: Inquisitor – Martyr (normally $39.99/£33.49) will then be available as a free download from May 16 to June 15.
On Xbox 360, Sensible World of Soccer (normally $9.99/£7.99) will be free for Xbox Live Gold members from May 1-15.
And from May 16 until the end of the month, Overlord II (normally $9.99/£8.99) will be free to download.
Microsoft recently said Xbox Live and Game Pass have seen record usage as citizens across the globe practice social distancing to help combat the spread of the coronavirus.
In order to accommodate dramatically increased usage, the company has temporarily adjusted some service features, such as disabling custom gamerpic uploads and scheduling the release of game updates during off-peak hours.