Class 10 Mathematics — Chapter 5: Arithmetic Progressions
68 practice questions · 23 Easy · 25 Medium · 20 Hard
Practise Class 10 Mathematics Chapter 5, "Arithmetic Progressions", with 68 NCERT-aligned multiple-choice questions. The set is split into 23 Easy, 25 Medium and 20 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Arithmetic Progressions" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Arithmetic Progressions, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 10 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 68.
Key concepts: Arithmetic Progressions (Class 10 Mathematics)
An Arithmetic Progression (AP) is a list of numbers where each term increases by a fixed common difference. This chapter finds any term and the sum of the first n terms.
- Arithmetic Progression
- A sequence a, a+d, a+2d, … where a is the first term and d is the common difference (d = any term − its previous term).
- Common difference
- d is constant throughout an AP; it can be positive, negative or zero.
- nth term
- The general term aₙ lets you find any term directly without listing all the earlier ones.
- Sum of n terms
- Sₙ adds the first n terms. If the last term l is known, use the shorter form.
- Term from the end
- The nth term from the end of a finite AP = l − (n−1)d, where l is the last term.
Key formulas — Arithmetic Progressions
💡 Exam tips for Arithmetic Progressions
- Confirm the list is an AP first: check that the difference between consecutive terms is constant.
- aₙ = Sₙ − Sₙ₋₁ — a quick way to get the nth term from the sum formula.
Sample questions
Common difference of the AP 5, 8, 11, 14, … is:
d = 8 − 5 = 3.
The sum of the first 20 natural numbers is:
Sₙ = n(n+1)/2 = 20 × 21 / 2 = 210.
If the 5th term of an AP is 20 and the 9th term is 36, then the first term is:
a + 4d = 20, a + 8d = 36. Subtracting: 4d = 16 ⇒ d = 4. So a = 20 − 16 = 4.
Arithmetic Progressions — FAQs
What are the key concepts in Class 10 Mathematics Arithmetic Progressions?+
An Arithmetic Progression (AP) is a list of numbers where each term increases by a fixed common difference. This chapter finds any term and the sum of the first n terms. Key ideas include Arithmetic Progression, Common difference, nth term, Sum of n terms, Term from the end.
What does Class 10 Mathematics Chapter 5 (Arithmetic Progressions) cover on XamBaaz?+
It covers 68 NCERT-aligned MCQs on "Arithmetic Progressions" — 23 Easy, 25 Medium and 20 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Arithmetic Progressions" questions free to practise?+
Yes — sign in with Google to practise "Arithmetic Progressions" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Arithmetic Progressions" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 68 questions free
Timed quizzes, instant scoring, streaks and XP. Sign in with Google — no card needed.
Start this chapter free →