Sets and Functions

Maths, SSC-KPK Class 10. This chapter is split into 51 topics and has 1,287 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Verifying commutative properties with examples 24 questions
2. Number of binary relations: Example 17 and 18 26 questions
3. Function notation and the book's warnings 24 questions
4. Venn diagrams of union and intersection 24 questions
5. Verifying associative properties with examples 25 questions
6. Exercise 5.5 questions 25 questions
7. Set-builder notation and listing elements 25 questions
8. Verifying laws with Venn diagrams (Example 14) 24 questions
9. Complement of a set 26 questions
10. Example 20: which relations are functions 24 questions
11. Range of a relation 25 questions
12. Difference of two sets 28 questions
13. Definition of a function 24 questions
14. Venn diagrams: basic ideas 25 questions
15. Venn diagrams of De Morgan's laws 26 questions
16. Domain of a relation 25 questions
17. Important sets of numbers 27 questions
18. Testing whether a relation is a function 30 questions
19. One-one and onto function (bijective) 25 questions
20. Onto function (surjective) 24 questions
21. Injective function (into and one-one) 23 questions
22. Commutative properties of union and intersection 25 questions
23. Example 15 and Exercise 5.3: drawing Venn diagrams 26 questions
24. Mixed operations on sets (Exercise 5.1 style) 27 questions
25. Arrow diagram of a relation 22 questions
26. Venn diagrams of complements 24 questions
27. One-one correspondence versus one-one function 26 questions
28. Into function 24 questions
29. Venn diagrams of A \ B and B \ A 24 questions
30. Associative properties of union and intersection 26 questions
31. Domain, co-domain and range of a function 26 questions
32. Cartesian product of two sets 26 questions
33. Verifying De Morgan's laws with examples 26 questions
34. Relations defined by a rule 28 questions
35. Venn diagrams of three sets 24 questions
36. One-one function 25 questions
37. Intersection of two sets 28 questions
38. Logic of the proofs: element chasing 21 questions
39. Counting elements and subsets 24 questions
40. De Morgan's laws 28 questions
41. Exercise 5.4 style questions 22 questions
42. Reading Venn regions from sets 26 questions
43. Classifying functions: one-one, into, onto, bijective 30 questions
44. Distributive properties of union and intersection 26 questions
45. Review Exercise 5 questions 26 questions
46. Disjoint sets 24 questions
47. Ordered pairs 23 questions
48. Binary relation: definition and notation 25 questions
49. Union of two sets 27 questions
50. Counting elements of A x B 24 questions
51. Verifying distributive properties with examples 25 questions