Formal pairs suit Writing Task 2. Neutral ones work anywhere. Informal ones belong in Speaking.
1.make a mistake
neutraldo something wrong by accident
Learners who are afraid to make a mistake often speak too little.
Make collocates with mistake and error.
Avoid: do a mistake → make a mistake
2.make a decision
neutraldecide something
Parents should let teenagers make their own decisions about subjects.
Take a decision is also used in British English.
Avoid: do a decision → make a decision
3.make an effort
neutraltry hard to do something
Tourists should make an effort to learn a few words of the local language.
Make every effort is more emphatic.
Avoid: do an effort → make an effort
4.make progress
neutralimprove or move towards a goal
Students make faster progress when they get regular feedback.
Progress is uncountable: no a.
Avoid: do a progress → make progress
5.make a contribution to
formalhelp to cause or achieve something
Volunteers make a valuable contribution to society.
Make a significant contribution is common in essays.
6.make a difference
neutralhave an important effect
Small changes in diet can make a big difference to health.
Make a real difference is a useful variation.
7.make money
neutralearn money
Some apps make money by selling users' data.
Earn money is more formal.
Avoid: do money → make money
8.make a complaint
neutralformally say you are unhappy about something
Customers can make a complaint online.
Make an excuse and make a suggestion follow the same pattern.
9.make an excuse
neutralgive a reason, often untrue, for not doing something
People often make excuses for not exercising.
Make, not say or do, an excuse.
Avoid: do an excuse → make an excuse
10.make friends
neutralstart a friendship
Children make friends more easily at school than adults do at work.
Make friends with someone.
Avoid: do friends → make friends
11.do research
neutralcarry out a study to find information
I did some research before choosing a university.
Conduct research is more formal.
Avoid: make research → do research
12.do homework
neutralcomplete schoolwork set for home
Pupils in some countries do homework for three hours a night.
Homework is uncountable.
Avoid: make homework → do homework
13.do damage
neutralcause harm to something
Floods did serious damage to farmland.
Cause damage is an alternative.
Avoid: make damage → do damage
14.do more harm than good
neutralcause more problems than benefits
Banning phones in schools may do more harm than good.
A fixed phrase; useful for a balanced conclusion.
Avoid: make more harm than good → do more harm than good
15.do your best
informaltry as hard as you can
I always do my best in exams, but I still get nervous.
Natural in Speaking.
Avoid: make your best → do your best
16.do someone a favour
informalhelp someone
My neighbour did me a favour and watered my plants.
British spelling: favour.
Avoid: make someone a favour → do someone a favour
17.do business with
neutraltrade with a company or country
Many firms prefer to do business with countries that have stable laws.
Do business is the fixed phrase.
Avoid: make business with → do business with
18.do a course
informalstudy on a course
I'm doing an online course in photography at the moment.
British and informal. Take a course is more neutral.
Avoid: make a course → do a course