Q:

if your child did bad things, which verbs would you use: "scold", "rebuke", "tell off" or "blame"?

In the dictionary

scold /skəʊld $ skoʊld/ verb [transitive]    
to angrily criticize someone, especially a child, about something they
  have done SYN tell off
Do not scold the puppy, but simply and firmly say ‘no’.
scold somebody for (doing) something
Her father scolded her for upsetting her mother.

but

In everyday English, people usually say tell someone off
  rather than scold someone:
She told us off for making a mess.

tell somebody ↔ off phrasal verb if someone in authority tells you off, they speak to you angrily about something wrong that
  you have done
be/get told off   Shelley was one of those kids who was always getting told off at school.
tell somebody off for doing something   My dad told me off for swearing.

re‧buke /rɪˈbjuːk/ ●○○ verb [transitive]    
formal to speak to someone severely about something they have done
  wrong SYN reprimand
rebuke somebody for doing something
Members of the jury were sharply rebuked for speaking to the press.

blame1 /bleɪm/ ●●● S2 W3 verb [transitive]     1 to say or think that
  someone or something is responsible for something bad
Don’t blame me – it’s not my fault.
I blame his mother. She does everything for him.
blame somebody/something for something
Marie still blames herself for Patrick’s death.
The report blames poor safety standards for the accident.
The decision to increase interest rates was widely blamed (=blamed by
  many people) for the crisis.
blame something on somebody/something
One of the computers is broken and she’s blaming it on me.
The crash was blamed on pilot error.

if your child did bad things, which verbs would you use: "scold", "rebuke", "tell off" or "if your child did bad things, which verbs would you use: "scold", "rebuke", "tell off" or "blame"?"?

A:

As your Longman link says, tell off is more often used in everyday language than scold. Rebuke is even more formal.
To blame someone means to say that they were responsible for a wrong action, often when speaking to someone else; it isn't the same as 'telling them off'.

