'Do you study History at school?'
He asked me if I studied History at school
'Are you having a check-up?'
She asked me if I was having a check-up.
'Who do you think will win the race?'
He asked us who we thought would win the race.
'I am having an operation tomorrow.'
She said (that) she was having an operation the following day/the day after.
'I'm having a check-up.'
She said (that) she was having a check-up.
'I want to be a scientist.'
She said (that) she wanted to be a scientist.
'Your overdraft has been approved.' the bank said.
The bank said that my overdraft had been approved.
'Where does it hurt?' the doctor asked me.
The doctor asked me where it hurt.
'I lost my appetite and I felt very sick yesterday.'
She told me (that) she had lost her appetite and (that)(she) had felt very sick the previous day/the day before.
'What can you do to help Matthew pass his exams?' He asked me.
He asked me what I could do to help Matthew pass his exams.
'Managed to get a cheap flight to Italy for your holiday.' said your travel agent.
My travel agent told me (that) he had managed to get a cheap flight to Italy for my holiday.
'You have been promoted to senior manager.' your boss said.
My boss said (that) I had been promoted to senior manager.