English grammar

Modals of Deduction: Present and Past

Cover: modals of deduction — must be, might be, can't be, must have been, for certainty and possibility
Short answer

To deduce how sure you are, use must (I'm certain it's true), might, could or may (it's possible) and can't (I'm certain it's not true). Add a base verb for the present and 'have + past participle' for the past.

Level: B2. When you work something out from evidence rather than knowing it directly, you use modals of deduction. Seeing wet umbrellas, you say “It must be raining” — you did not check the sky, you deduced it.

The rule

A modal verb (must, might, could, may, can’t) sits before a main verb and changes its meaning. For deduction, the modal shows how sure you are about a situation, based on evidence:

  • must = you are certain it is true: “She must be at work.”
  • might / could / may = it is possible (you are not sure): “He might be asleep.”
  • can’t / couldn’t = you are certain it is not true (impossible): “They can’t be serious.”

For the present, use the modal + base verb (be, know, feel): “You must be tired.” For the past, use the modal + have + past participle (the third form: been, gone, seen): “You must have been tired.” The pattern have + past participle is the same for every one of these modals.

The negative of a certain must is can’t, because you are now certain of the opposite. “He must be home” (I’m sure he is) becomes “He can’t be home” (I’m sure he is not). Do not use mustn’t here — that means something is forbidden.

Forms

Certainty Present (modal + base) Past (modal + have + pp)
sure it is true must be / must know must have been / must have known
possible might / could / may be might / could / may have been
sure it is not true can’t / couldn’t be can’t / couldn’t have been
question (possible) could it be…? could it have been…?

Example sentences

  1. The lights are off, so they must be out.
    Certain conclusion from evidence (present).
  2. You've been travelling all day; you must be exhausted.
    'must be' for a confident present deduction.
  3. She might be stuck in traffic.
    'might' for a present possibility.
  4. He could be at the gym; he usually goes on Fridays.
    'could' for another possible explanation.
  5. That can't be right — the total is far too high.
    'can't' for a certain negative (present).
  6. They can't be twins; they look nothing alike.
    Sure it is not true.
  7. The ground is wet, so it must have rained last night.
    'must have + pp' for a past deduction.
  8. She didn't answer, so she might have been asleep.
    'might have been' for a past possibility.
  9. He could have missed the train.
    'could have + pp' for a possible past cause.
  10. You can't have finished already — you only just started.
    'can't have' for a certain negative past.
  11. They must have left early; the office is empty.
    Confident past conclusion.
  12. I may have left my keys at the office.
    'may have + pp' for an uncertain past.
  13. The cake is gone; the children must have eaten it.
    Deduction from the evidence.
  14. It couldn't have been Tom; he was with me all evening.
    Impossible, so 'couldn't have'.
  15. Someone's knocking — it might be the courier.
    A present guess from a sound.
  16. Her car isn't here, so she must have gone home.
    Past deduction from absence.
  17. He looks pale; he can't be feeling well.
    Certain negative in the present.
  18. The meeting may still be going on.
    'may' for an open present possibility.
  19. You must have seen the sign; it was huge.
    Confident about the past.
  20. They might not know about the change yet.
    'might not' = perhaps not (uncertain).
  21. She can't have forgotten; I reminded her twice.
    Sure it did not happen.
  22. It could have been worse, honestly.
    A possible alternative past outcome.

Common mistakes

  • ❌ He mustn’t be home; the car’s gone. → ✅ He can’t be home; the car’s gone. For a certain negative deduction use can’t, not mustn’t (which means forbidden).
  • ❌ She must is tired. → ✅ She must be tired. A modal is always followed by the base verb: must be.
  • ❌ They must have went already. → ✅ They must have gone already. The past form is have + past participle (gone), not the past simple (went).
  • ❌ You must to be joking. → ✅ You must be joking. No to after a modal.
  • ❌ It can’t rained last night. → ✅ It can’t have rained last night. A past deduction needs have + past participle, not the bare base verb.
  • ❌ He could has left. → ✅ He could have left. Always have (not has) after a modal, whatever the subject.

A short conversation

A: Dan isn’t answering his phone. B: He must be in the meeting — it started at two. A: But his coat’s still here, so he can’t have left the building. B: True. He might have just popped out for lunch.

Usage notes

  • Evidence, not fact. These modals report a conclusion, not something you witnessed. “She must be French” means the evidence points that way; “She is French” is a plain fact you know.
  • must vs have to. For deduction, use must (and its past must have). Do not use have to for deduction — have to is about obligation.
  • might / may / could. All three show possibility and are often interchangeable here. Could can sound a little more tentative; may is a touch more formal.
  • Negatives of possibility. “might not / may not have” = perhaps it did not happen (still uncertain). Keep can’t / couldn’t for the certain negatives.

Compared with…

  • Modals of possibility (may, might, could) focus on whether something is possible in general, often about the future: “It might rain tomorrow.” Deduction uses the same words but to reach a conclusion about now or the past. See May, Might and Could (Possibility).
  • Needn’t have vs didn’t need to deal with whether a past action was necessary, not how certain you are. Don’t confuse “must have done” (a deduction) with “needn’t have done” (an unnecessary action). See Needn’t Have vs Didn’t Need To.

Recap card for the English modals of deduction lesson showing must, might, could and can’t for certainty

Quick recap before you practise.

Practice

Practice

Modals of deduction practice

Try each one, then press Check. No sign-up, nothing is sent anywhere — it all runs in your browser.

1 The office is empty and dark. Choose the best deduction.
Show answer

Everyone must have gone home. — A confident past conclusion uses must have + past participle: must have gone.

2 Which means 'I am sure it is NOT true'?
Show answer

It can't be true. — The certain negative deduction is can't; mustn't means forbidden.

Hint: modal + base verb

Show answer

must be — A sure present deduction: must + base verb = must be.

Hint: must + have + past participle

Show answer

must have rained — A past deduction uses must have + past participle: must have rained.

5 Build a past deduction.

Show answer

She must have left early — modal + have + past participle: She must have left early.

6 Match the modal to its meaning.

  • must
  • might
  • can't
  • could have
Show answer
  • must → I'm certain it's true
  • might → it's possible
  • can't → I'm certain it's not true
  • could have → it was possibly true (past)

must = sure yes; might/could = maybe; can't = sure no; could have = a possible past cause.

7 Choose the correct form.
Show answer

They could have seen us. — Always have (not has) and a past participle after a modal: could have seen.

Quiz

Check yourself

Modals of deduction quiz

12 questions · pick an answer and you'll see straight away if it's right.

0/12 0 answered
  1. 1His car is in the drive, so he ___ at home.
    Show answer

    must be — The evidence points to certainty, so must be.

  2. 2Which means 'I'm sure he did NOT do it'?
    Show answer

    He can't have done it. — The certain negative past deduction is can't have done.

  3. 3Complete: 'She didn't reply; she ___ my message.'
    Show answer

    might not have seen — Perhaps she did not see it (uncertain, past): might not have seen.

  4. 4Which sentence is correct?
    Show answer

    You must be joking. — A modal takes the base verb with no 'to': must be.

  5. 5The plates are empty. 'They ___ hungry.'
    Show answer

    must have been — Empty plates are evidence of a certain past state: must have been hungry.

  6. 6Which is the correct past form?
    Show answer

    It must have rained. — must + have + past participle: must have rained.

  7. 7'That ___ be the manager; she's on holiday this week.'
    Show answer

    can't — You are sure it is not her, so can't be.

  8. 8Choose the most tentative (least certain) option.
    Show answer

    She might be Spanish. — might be shows possibility, not certainty.

  9. 9Correct the error: 'He must have went to bed.'
    Show answer

    He must have gone to bed. — Use the past participle 'gone', not the past simple 'went'.

  10. Show answer

    can't be — You are sure it is not true now: can't be.

  11. 11Which uses 'could' correctly for a past possibility?
    Show answer

    He could have missed the bus. — could + have + past participle for a possible past cause.

  12. 12What does 'They must have known' express?
    Show answer

    A confident deduction about the past. — must have + past participle is a confident conclusion about the past.

Recap cheat-sheet

Meaning Present Past
sure it’s true must + base must have + pp
possible might / could / may + base might / could / may have + pp
sure it’s not true can’t / couldn’t + base can’t / couldn’t have + pp
watch out can’t (not mustn’t) for sure-no have + pp (not past simple)

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A1 30 topics · 30 ready
  1. 01 Verb 'To Be' in the Present (am, is, are)
  2. 02 Subject Pronouns: I, You, He, She, It, We, They
  3. 03 Present Simple: Affirmative and the -s Ending
  4. 04 Present Simple: Negatives and Questions (do/does)
  5. 05 Articles: a / an and When to Use Each
  6. 06 The Definite Article 'The': When to Use It
  7. 07 Zero Article: When to Use No Article
  8. 08 Plural Nouns: Regular and Irregular Forms
  9. 09 This, That, These, Those (Demonstratives)
  10. 10 Possessive Adjectives: my, your, his, her
  11. 11 Possessive 's and s' (Showing Belonging)
  12. 12 There Is / There Are (Saying What Exists)
  13. 13 Have Got: Talking About Possession
  14. 14 Can and Can't for Ability
  15. 15 Present Continuous (am/is/are + -ing)
  16. 16 Imperatives: Giving Orders and Instructions
  17. 17 Adjectives: Position and Basic Use
  18. 18 Prepositions of Place: in, on, at
  19. 19 Prepositions of Time: in, on, at
  20. 20 Question Words: What, Where, When, Who, Why, How
  21. 21 How Much vs How Many
  22. 22 Countable and Uncountable Nouns
  23. 23 Some and Any: Which One to Use
  24. 24 Object Pronouns: me, you, him, her, us, them
  25. 25 Adverbs of Frequency and Their Position
  26. 26 Like, Love, Hate + -ing (Expressing Preferences)
  27. 27 Would Like: Polite Wants and Offers
  28. 28 Making Requests: Can, Could, May I
  29. 29 Past Simple of 'To Be' (was / were)
  30. 30 Let's and Shall We: Making Suggestions
A2 25 topics · 25 ready
  1. 31 Past Simple: Regular Verbs and -ed Spelling
  2. 32 Past Simple: Irregular Verbs (go, see, have)
  3. 33 Past Simple: Negatives and Questions (did)
  4. 34 Comparative Adjectives (bigger, more expensive)
  5. 35 Superlative Adjectives (the biggest, the most)
  6. 36 Going To: Plans and Predictions
  7. 37 Will: Predictions, Decisions and Offers
  8. 38 Present Continuous for Future Arrangements
  9. 39 Present Perfect for Experience (ever / never)
  10. 40 Present Perfect with just, already, yet
  11. 41 Present Perfect vs Past Simple
  12. 42 Have To and Don't Have To (Obligation)
  13. 43 Should and Shouldn't for Advice
  14. 44 Could: Past Ability and Polite Use
  15. 45 Much, Many, A Lot Of
  16. 46 A Few, A Little, Few, Little
  17. 47 Adverbs of Manner (quickly, well, hard)
  18. 48 Verb + -ing or Verb + to (Introduction)
  19. 49 Zero Conditional (Facts and Rules)
  20. 50 First Conditional (Real Future Possibility)
  21. 51 Prepositions of Movement (to, into, through)
  22. 52 Possessive Pronouns: mine, yours, hers
  23. 53 Past Continuous (was/were + -ing)
  24. 54 Too and Enough (Degree)
  25. 55 Order of Adjectives Before a Noun
B1 27 topics · 27 ready
  1. 56 Past Continuous vs Past Simple
  2. 57 Used To and Would for Past Habits
  3. 58 Present Perfect Continuous (have been -ing)
  4. 59 Present Perfect: Simple vs Continuous
  5. 60 Past Perfect (had + past participle)
  6. 61 Second Conditional (Unreal Present/Future)
  7. 62 Third Conditional (Unreal Past)
  8. 63 Reported Speech: Statements (Backshift)
  9. 64 Reported Questions
  10. 65 Reported Commands and Requests
  11. 66 Passive Voice: Present and Past Simple
  12. 67 Must and Mustn't (Strong Obligation)
  13. 68 May, Might, Could for Possibility
  14. 69 Defining Relative Clauses (who, which, that)
  15. 70 Non-Defining Relative Clauses (with commas)
  16. 71 Gerunds and Infinitives: Full Verb Patterns
  17. 72 Verbs Where -ing vs to Changes Meaning
  18. 73 Future Continuous (will be -ing)
  19. 74 So and Such (Emphasis)
  20. 75 As...As Comparisons (equality)
  21. 76 Question Tags (isn't it? do you?)
  22. 77 Phrasal Verbs: Separable and Inseparable
  23. 78 Linking Words: because, so, although, but
  24. 79 Infinitive of Purpose (to / in order to)
  25. 80 Indirect Questions (Can you tell me...)
  26. 81 Make, Let, Allow, Help (Causatives Intro)
  27. 82 Be Used To and Get Used To (+ -ing)
B2 25 topics · 25 ready
  1. 83 Narrative Tenses for Storytelling
  2. 84 Past Perfect Continuous (had been -ing)
  3. 85 Mixed Conditionals
  4. 86 Wish and If Only (Regrets and Wishes)
  5. 87 Wish/If Only + would (Complaints)
  6. 88 Passive Voice: All Tenses and Modals
  7. 89 Reporting Passive (It is said that / is said to)
  8. 90 Causative: Have/Get Something Done
  9. 91 Reduced Relative Clauses (Participles)
  10. 92 Modals of Deduction: Present and Past You are here
  11. 93 Needn't Have vs Didn't Need To
  12. 94 Future Perfect (will have done)
  13. 95 Participle Clauses (-ing / -ed / having done)
  14. 96 Advanced Comparatives (far/much + er, the more)
  15. 97 Conditional Alternatives: unless, as long as, provided
  16. 98 Advanced Determiners: each, every, either, neither
  17. 99 Intensifiers and Adverbs of Degree
  18. 100 Advanced Contrast: despite, in spite of, however
  19. 101 Advanced Linkers: therefore, moreover, consequently
  20. 102 Advanced Article Use (generalisations, names)
  21. 103 Verb + Preposition and Adjective + Preposition
  22. 104 Relative Clauses: whose, where, when, quantifier + whom
  23. 105 Subject-Verb Agreement: Tricky Cases
  24. 106 Emphatic Do (I do like it)
  25. 107 Would for Past Habits (Formal Narrative)
C1 18 topics · 18 ready
  1. 108 Inversion with Negative Adverbials
  2. 109 Inversion in Conditionals (Had I known)
  3. 110 Cleft Sentences (It was... / What I need is...)
  4. 111 Fronting and Emphasis (Word Order)
  5. 112 Subjunctive and Mandative (I suggest he be)
  6. 113 Ellipsis and Substitution (so, do, one)
  7. 114 Hedging and Cautious Language
  8. 115 Nominalisation (Academic Noun Style)
  9. 116 Advanced Discourse Markers (Spoken & Written)
  10. 117 Advanced Passive (passive + infinitive, get-passive)
  11. 118 Advanced Comparative Structures (no sooner...than)
  12. 119 Future in the Past (was going to / would)
  13. 120 Advanced Modals (may well, might as well, would rather)
  14. 121 Advanced Reported Speech (Reporting Verbs + Patterns)
  15. 122 Advanced and Idiomatic Phrasal Verbs
  16. 123 Collocation and Colligation (Natural Combinations)
  17. 124 Advanced Concession (much as, whatever, however + adj)
  18. 125 Absolute and Non-Finite Clauses (Formal)