Basic Mathematics

BCS-012 important topics

The eGyanKosh units IGNOU has examined most, from 8 past papers. Matched automatically from question wording.

1. Block 1, Unit 4: Mathematical Induction ↗Asked almost every time: in 8 of 8 papers
2. Block 2, Unit 1: Sequence and Series ↗Asked almost every time: in 7 of 8 papers
3. Block 4, Unit 3: Three- Dimensional Geometry-I ↗Asked almost every time: in 7 of 8 papers
4. Block 3, Unit 4: Application of Integral Calculus ↗Asked almost every time: in 6 of 8 papers
5. Block 2, Unit 3: Equations ↗Asked almost every time: in 6 of 8 papers
6. Block 1, Unit 3: Matrices-II ↗Asked often: in 5 of 8 papers
7. Block 2, Unit 4: Inequalities ↗Asked often: in 5 of 8 papers
8. Block 1, Unit 1: Determinants ↗Asked often: in 4 of 8 papers

BCS-012 assignment

The latest BCS-012 assignment is valid for the July 2026 & January 2027 sessions, number BCA_NEW/BCAOL(I)012/Assign/2026-27. It carries 100 marks and 30% of your final grade. Due 31 Oct 2026 for the July 2026 session or 30 Apr 2027 for the January 2027 session.

BCS-012 previous-year question papers

Official term-end exam papers for Basic Mathematics, published by IGNOU. Each one opens on IGNOU’s website.

• June 2024BCS-012 term-end exam, official PDF↗
• December 2023BCS-012 term-end exam, official PDF↗
• June 2023BCS-012 term-end exam, official PDF↗
• December 2022BCS-012 term-end exam, official PDF↗
• June 2022BCS-012 term-end exam, official PDF↗
• December 2021BCS-012 term-end exam, official PDF↗
• June 2021BCS-012 term-end exam, official PDF↗
• December 2020BCS-012 term-end exam, official PDF↗

Important Basic Mathematics questions

24 questions have come in more than one BCS-012 exam. They are listed first. The text is taken from IGNOU’s official papers, so open the paper for figures and exact wording.

1. June 2021 · Q2(a) · 5 marksAsked 6 times

   Use the principle of mathematical induction to show that 2 + 22 +... + 2n = 2n+1 – 2 for each natural number n.

2. June 2022 · Q5(b) · 5 marksAsked 5 times

   Use De-Moivre’s theorem to find (3 + i)3.

3. December 2022 · Q2(b) · 5 marksAsked 5 times

   Find 3(3) i+ by using De Moivre’s theorem.

4. June 2022 · Q1(a) · 3 marksAsked 4 times

   Solve the following system of linear equations using Cramer’s rule: 5 x + y = 0; y + z = 1; z + x =

5. June 2022 · Q1(f) · 5 marksAsked 4 times

   Find the quadratic equation whose roots are (2 – 3) and (2 + 3).

6. June 2022 · Q3(a) · 5 marksAsked 4 times

   Using Principle of Mathematical Induction, show that n(n + 1) (2n + 1) is a multiple of 6 for every natural number n.

7. December 2022 · Q1(h) · 5 marksAsked 4 times

   Find the quadratic equation whose roots are (2 3)− and (2 3).+

8. December 2022 · Q3(a) · 3 marksAsked 4 times

   Solve the following system of linear equations using Cramer’s rule: 5 x + y = 0 y + z = 1 z + x =

9. June 2024 · Q4(d) · 5 marksAsked 3 times

   Find the sum of all integers between 100 and 1000 that are divisible by 9.

10. December 2023 · Q4(d) · 5 marksAsked 3 times

    Find the sum of all the integers between 100 and 1000 that are divisible by 7.

11. June 2022 · Q1(g) · 5 marksAsked 3 times

    Find the sum of an Infinite G.P., whose first term is 28 and fourth term is 49 4.

12. December 2022 · Q1(b) · 5 marksAsked 3 times

    Find the sum of an infinite G. P., whose first term is 28 and fourth term is 4.49

Basic Mathematics study material

IGNOU publishes the full BCS-012 self-learning material free on eGyanKosh: every block and unit on algebra-i, algebra-ii, calculus and vectors and three-dimensional geometry.