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🧾 CBSE · Class 10

Class 10 Maths: Arithmetic Progressions Worksheet (with Answers)

A free, print-ready worksheet on Arithmetic Progressions for CBSE Class 10 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 19 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. The common difference of the AP 3, 7, 11, … is:
    • (a) 7
    • (b) 11
    • (c) 4
    • (d) 3
  2. 2. The 10th term of the AP 2, 4, 6, … is:
    • (a) 18
    • (b) 16
    • (c) 20
    • (d) 22
  3. 3. The nth term of an AP is given by:
    • (a) a + nd
    • (b) an + d
    • (c) a + (n − 1)d
    • (d) a − (n − 1)d
  4. 4. The sum of the first n natural numbers is:
    • (a) n²
    • (b) n(n − 1)/2
    • (c) n(n + 1)
    • (d) n(n + 1)/2
  5. 5. Find the common difference of 100, 95, 90, …
  6. 6. Find the 5th term of the AP with a = 7 and d = 4.
  7. 7. Find the sum of the first 25 terms of the AP whose nth term is 3n + 1.
View answers
  1. 1. (c) 4 — d = 7 − 3 = 4.
  2. 2. (c) 20 — a = 2, d = 2; a₁₀ = 2 + 9(2) = 20.
  3. 3. (c) a + (n − 1)d — aₙ = a + (n − 1)d.
  4. 4. (d) n(n + 1)/2 — 1 + 2 + … + n = n(n + 1)/2.
  5. 5. d = 95 − 100 = −5.
  6. 6. a₅ = 7 + 4(4) = 23.
  7. 7. First term a = 3(1) + 1 = 4, and the 25th term = 3(25) + 1 = 76. S₂₅ = 25/2 (a + l) = 25/2 (4 + 76) = 25/2 × 80 = 1000.
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How it works

Every question is drawn from StudyMatic’s own Maths bank for Arithmetic Progressions — nothing is auto-generated or invented. Pick how many of each type you want, add your own questions if you like, choose 1–4 paper sets for anti-cheating, and print the worksheet and answer key separately or save them as PDF.

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FAQ

Is this Class 10 Maths worksheet on Arithmetic Progressions free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Arithmetic Progressions worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 10 Maths, chapter “Arithmetic Progressions”.