National Audit Office says Theresa May's department needs to do more to increase confidence that savings are being made in the right areas. It says business areas within the Home Office haven't fully considered efficiency and effectiveness when evaluating where cuts should be made.
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Transport bosses are said to be in "active discussions" with the company to encourage it to extend its pilot scheme to the UK's capital.
Reports suggest the 67-year-old is expected to be named as one of the hosts of the new series within days.
Former astronaut, who was part of the Apollo 14 mission in 1971, died at a hospice at the age of 85 according to a family statement.