To transform the sentences using the causative structure, typically the format is "subject + have/get + object + past participle." Here's how you can rewrite each sentence:
Someone is going to check my homework.
- I am going to have my homework checked.
My mum’s phone was repaired a few days ago.
- My mum had her phone repaired a few days ago.
They installed a new alarm in the school yesterday.
- The school had a new alarm installed yesterday.
A friend cut my sister’s hair.
- My sister had her hair cut by a friend.
A new IT centre is being built at the college.
- The college is having a new IT centre built.
These sentences now reflect the causative form, which indicates that the subject arranged for someone else to perform the action.