TopicGeneral Maths
Algebra · SS1–SS2
Logic
Statements, their truth values and how “and”, “or”, “not” and “if … then” combine them.
- Before this
- Sets & Venn diagrams
- Leads to
- Sets & logic
Learn
- 1Statements and implicationsStatements and their truth values, the symbols ∼, ∧, ∨, ⇒ and ⇔ with their truth tables, and which of the converse, inverse and contrapositive of p ⇒ q is a valid conclusion.Done14 min
- 2Venn diagrams and valid conclusionsDrawing 'all', 'no', 'some' and 'only' statements as Venn diagrams, chaining two statements into nested sets, and using the diagram to decide whether a conclusion is valid.Done14 min
Practise
Answer logic questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.
Your progress is saved on this device as you practise. No account needed.
Past questions (12)
From 2018–2024: 8 WAEC, 4 NECO. Theory questions first, then objective, newest first.
Theory (3)
- WAEC 2022 · Paper 2 · Q7The hypotenuse of a right-angled triangle is long and the perimeter is . Find the lengths of the other two sides.
- WAEC 2020 · Paper 2 · Q1Consider the statements: : Some teachers in a school are graduates. : Only graduate teachers received National honours. (i) Represent this …
- WAEC 2018 · Paper 2 · Q11(i) Copy and complete the addition and multiplication tables in modulo 5 on the set . (ii) Use the tables to: …
Objective (9)
- NECO 2024 · Paper 1 · Q27Given the statements : All terrorists are guilty, and : All terrorists are criminals. Write in symbolic form: “All terrorists are not guilty …
- WAEC 2024 · Paper 1 · Q16Consider the following statements: : Edna is respectful : Edna is brilliant. If , which of the following is valid?
- WAEC 2023 · Paper 1 · Q28Consider the statements : Siah is from Foya; : Foya is in Lofa. Write in symbolic form the statement: If Siah is from Foya, then Foya is …
- NECO 2022 · Paper 1 · Q24Use the truth table below.
- NECO 2022 · Paper 1 · Q25Use the truth table below.
- NECO 2022 · Paper 1 · Q30Let : I pass mathematics, : I pass physics. Conclusion: I pass mathematics if and only if I pass physics. Translate the conclusion into …
- WAEC 2022 · Paper 1 · Q15Consider the statements : Stephen is intelligent; : Stephen is good at Mathematics. If , which of the following is a valid …
- WAEC 2021 · Paper 1 · Q20Consider the statements : all students offering Literature () also offer History (); : students offering History do not offer Geography …
- WAEC 2020 · Paper 1 · Q11The implication is equivalent to