Class 10 Arithmetic Progressions Board PYQs Hub
Chapter 5 Arithmetic Progressions previous year board questions organized by topic. Master $n^{\text{th}}$ term calculations ($a_n = a + (n-1)d$), sum of $n$ terms ($S_n = \frac{n}{2}[2a + (n-1)d]$), and real-life applied word problems from standard CBSE marking schemes.
Class 10 Maths Chapter 5: Arithmetic Progressions Previous Year Questions
Use this chapter hub to revise Arithmetic Progressions through topic-wise previous year questions. These links help students move from chapter-level revision to focused CBSE board exam practice.
Topic-wise PYQ Practice
CBSE Board Exam Blueprint & Topic Weightage: Arithmetic Progressions
In the Class 10 CBSE Board Examination, Arithmetic Progressions is a high-yielding component of Unit 2: Algebra, consistently carrying 4 to 6 marks in the annual 80-mark written board paper. Recurring question formats observed over past board papers include:
- Section A (1 Mark MCQ): Finding common difference \(d\), evaluating the \(n\)-th term from given AP sequence, or identifying which term of an AP is zero or negative.
- Section B / C (2 or 3 Marks): Direct application of the \(n\)-th term formula \(a_n = a + (n-1)d\) and sum of first \(n\) terms formula \(S_n = \frac{n}{2}[2a + (n-1)d] = \frac{n}{2}(a + l)\).
- Section E (4 Marks Case Study): CBSE Case-Based Questions often feature AP applications such as tiered stadium seating, annual salary increments, tree planting along highways, or daily production savings.
Key Revision Tips & Common Pitfalls
When the sum of \(n\) terms \(S_n\) is given as a quadratic expression in \(n\), find the \(n\)-th term using \(a_n = S_n - S_{n-1}\) and the first term using \(a_1 = S_1\). When assuming three terms in AP, choose \(a - d, a, a + d\) for algebraic simplicity in sum-based problems.