Mathematical Inductions and Binomial Theorem

Maths, HSSC-Punjab First Year. This chapter is split into 41 topics and has 1,004 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Last Digits and Number Patterns by Induction 24 questions
2. Trinomial Expansions in Ascending Powers 28 questions
3. Approximations for Small Values of x 21 questions
4. Expansion Up to Four Terms 22 questions
5. Term Independent of x 24 questions
6. Expanding Binomials with Fractional Terms 21 questions
7. Roots and Powers Correct to Three Decimal Places 20 questions
8. General Term and the rth Term 26 questions
9. Coefficient of a Given Power of x 28 questions
10. Approximate Values by the Binomial Theorem 23 questions
11. Binomial Theorem for Negative or Fractional Index 22 questions
12. Induction Proofs for Sums and Sequences 24 questions
13. Real-Life Applications of Induction 29 questions
14. Reasoning and Errors in Induction Proofs 20 questions
15. Pascal's Triangle 28 questions
16. Particular Cases of the Binomial Series 22 questions
17. Comparing Two Large Numbers 28 questions
18. Divisibility Tests 29 questions
19. Terms Counted from the End 26 questions
20. Identifying a Series and Finding Its Sum 24 questions
21. Middle Terms of the Expansion 28 questions
22. Expanding and Simplifying Sums of Conjugate Binomials 23 questions
23. Expansions of (1 + x) and (1 - x) to Positive Powers 23 questions
24. Principle of Mathematical Induction 22 questions
25. Inequalities Proved by Induction 25 questions
26. Divisibility Proved by Induction 27 questions
27. Last Digit and Last Two Digits 28 questions
28. Compound Interest and Economic Forecasting 24 questions
29. Binomial Theorem for Positive Integral Index 20 questions
30. Writing S(k) and S(k + 1) in Proofs 22 questions
31. Properties of the Binomial Expansion 23 questions
32. Using Pascal's Triangle for Expansions and Counting 25 questions
33. Counter Examples and Conjectures 27 questions
34. Extended Principle of Mathematical Induction 20 questions
35. Coefficient of xn in Rational Expressions 29 questions
36. Term Involving a Given Power of x 26 questions
37. Sum of Binomial Coefficients 29 questions
38. Binomial Expressions and Expansions of Index 2 and 3 21 questions
39. Finding Remainders with the Binomial Theorem 27 questions
40. Expanding a Binomial with Numerical Coefficients 21 questions
41. Testing Formulas for Particular Values of n 25 questions