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b2B2 Upper-Intermediate EnglishModals of deductionGrammarabout 15 min

Must have, might have, can’t have

Make deductions about the past: must have left, might have forgotten, can’t have seen — and speculate about what happened.

In this lesson you will

  • Use modal + have + participle for past deductions
  • Use continuous forms: must have been working
  • Speculate about past events with evidence

Learn

must have + participle = sure it happened: The ground is wet — it must have rained.

can’t have / couldn’t have = sure it didn’t happen: She can’t have seen* us, or she would have waved.*

might / may / could have = it possibly happened: He might have missed* the bus.*

Continuous: must have been + -ing: You look exhausted — you must have been working* all night.*

Examples

  • The door was locked. Someone must have taken the key.
  • They can’t have finished already — they only started an hour ago.
  • She might have forgotten about the meeting.
  • He must have been waiting for ages.

Vocabulary

speculate

guess without full information

clue

a piece of evidence

explanation

a reason for something

mystery

something not understood

witness

a person who saw something

Practice

1 / 8

Complete the sentence.

The window is broken. Someone must (break) it.

Listening: The missing cake

Audio isn’t available in this browser — read the transcript instead.

Ana: Someone’s eaten half the birthday cake!

Leo: It can’t have been me — I’ve been at the gym all afternoon.

Ana: Well, it must have been someone who knew where it was.

Leo: The dog might have got it?

Ana: The dog can’t have opened the fridge.

Leo: True… Oh — there are chocolate fingerprints on Tom’s homework. It must have been Tom!

1.Why can’t it have been Leo?

2.Why can’t it have been the dog?

3.Who do they think ate the cake?

Speaking

Choose a real mystery (a famous one or from your life) and speculate about what happened using past modals of deduction.

Recording isn’t available in this browser. You can still practise: say your answer aloud, then type what you said.

Writing

Write a detective’s report (120–150 words) on a small mystery, explaining what must, might and can’t have happened.

0 / 120+ words

Lesson quiz

1 / 5

She ___ have arrived — her coat is here.

Review

Key points

  • must have done = sure it happened.
  • can’t/couldn’t have done = sure it didn’t.
  • might/may/could have done = possibly.
  • must have been doing for ongoing past actions.

What you learned

  • ✓ I can make past deductions.
  • ✓ I can speculate with evidence.
  • ✓ I use continuous forms correctly.

Grammar reference: Modals of deduction: must, might, can’t