Logic

Maths, SSC-Punjab Class 9. This chapter is split into 31 topics and has 790 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Theorem: meaning and examples 29 questions
2. Examples of true mathematical statements 26 questions
3. Examples of false mathematical statements 28 questions
4. Evaluating compound statements for given truth values 30 questions
5. Writing the converse, inverse and contrapositive of given conditionals 30 questions
6. Negation of a statement 30 questions
7. Equivalence and always-true statements (Table 6 and Table 7) 23 questions
8. Logic: introduction and history 25 questions
9. Axioms and postulates 26 questions
10. Proving set identities (complements of union and intersection) 23 questions
11. Empty set is a subset of every set (Example 4) 22 questions
12. Mathematical statement: definition 25 questions
13. Truth tables of compound statements 26 questions
14. Conditional (implication) 26 questions
15. Biconditional (if and only if) 22 questions
16. Conjunction (and) 28 questions
17. Proof of a/b + c/d = (ad + bc)/bd (Example 8) 26 questions
18. Disjunction (or) 27 questions
19. Proofs about odd and even integers 30 questions
20. Logic in everyday reasoning and compound statements in words 20 questions
21. Converse, inverse and contrapositive of a conditional 20 questions
22. Deductive proofs of algebraic identities (Examples 9 and 10) 30 questions
23. Logical operators and symbols 25 questions
24. Conjecture and the Goldbach conjecture 29 questions
25. Truth values of numerical statements 28 questions
26. Exercise 8: choose the correct option 21 questions
27. Inductive and deductive reasoning 23 questions
28. Exercise 8: further problems on proofs and sets 21 questions
29. Classifying statements as axiom, conjecture or theorem 23 questions
30. Mathematical proof: meaning and need 24 questions
31. Converse, inverse and contrapositive of symbolic conditionals (Exercise 8 Q2) 24 questions