William Wragg says he will speak to the Met next week about his allegations, which have been denied by No 10.
Inspectorate criticises the police after only one of 69 victims of a fraud has their case investigated.
The former Olympic champion will encourage more people to cycle and walk as head of Active Travel England.
They can refer customers to a free online NHS service that runs a programme to get people into shape.
There were a record number of first-time buyers in 2021, figures from lender Halifax suggest.