Chapter 11 · Class 10 ICSE · Free Worksheet PDF

Arithmetic & Geometric Progression Sums for Class 10 — Free ICSE Worksheet PDF with Answers

Download a free printable arithmetic & geometric progression worksheet for Class 10 ICSE with 30 practice questions covering arithmetic & geometric progression concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. ICSE-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Arithmetic & Geometric Progression Sums for Class 10 — Practice Questions

Here are 8 sample arithmetic & geometric progression sums from this Class 10 ICSE worksheet. Download the full PDF for all 30 questions with answers.

Q1.Which of the following is an Arithmetic Progression (AP)?

(i) 2,5,8,11,…2, 5, 8, 11, \ldots (ii) 1,3,9,27,…1, 3, 9, 27, \ldots (iii) 5,5,5,5,…5, 5, 5, 5, \ldots
A.Only (i)
B.Only (ii)
C.(i) and (iii)
D.All three

Difficulty: Easy

Q2.The common difference of the AP 7,11,15,19,…7, 11, 15, 19, \ldots is:
A.33
B.44
C.77
D.−4-4

Difficulty: Easy

Q3.The nnth term of an AP with first term aa and common difference dd is:
A.a+nda + nd
B.a+(n−1)da + (n-1)d
C.a×dn−1a \times d^{n-1}
D.a×dna \times d^n

Difficulty: Easy

Q4.Find the 1010th term of the AP 3,7,11,15,…3, 7, 11, 15, \ldots
A.3939
B.3737
C.3535
D.4141

Difficulty: Easy

Q5.The common ratio of the GP 3,6,12,24,…3, 6, 12, 24, \ldots is:
A.22
B.33
C.12\frac{1}{2}
D.66

Difficulty: Easy

Q6.The nnth term of a GP with first term aa and common ratio rr is:
A.a+(n−1)ra + (n-1)r
B.a⋅rna \cdot r^n
C.a⋅rn−1a \cdot r^{n-1}
D.an⋅ra^n \cdot r

Difficulty: Easy

Q7.Find the 55th term of the GP 2,6,18,…2, 6, 18, \ldots
A.5454
B.162162
C.108108
D.486486

Difficulty: Easy

Q8.If the first term of an AP is 55 and the common difference is −3-3, the 44th term is:
A.−4-4
B.−7-7
C.1414
D.22

Difficulty: Easy

Answer Key — Sample Questions+
Q1:(i) and (iii)
Q2:$4$
Q3:$a + (n-1)d$
Q4:$39$
Q5:$2$
Q6:$a \cdot r^{n-1}$
Q7:$162$
Q8:$-4$

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicArithmetic & Geometric Progression
BoardICSE
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free arithmetic & geometric progression sums for Class 10?+
You can download a free Arithmetic & Geometric Progression PDF worksheet for Class 10 ICSE right here on SparkEd. The worksheet includes 30 practice questions (arithmetic & geometric progression concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many arithmetic & geometric progression questions are in this Class 10 worksheet?+
This SparkEd worksheet for Arithmetic & Geometric Progression Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover arithmetic & geometric progression concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Arithmetic & Geometric Progression worksheet for Class 10 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this arithmetic & geometric progression worksheet aligned to ICSE syllabus?+
Yes. This worksheet is specifically designed for Class 10 ICSE students and aligned to the 2025-26 ICSE syllabus. All questions follow the ICSE exam pattern and difficulty level.
Can I print this Arithmetic & Geometric Progression worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include arithmetic & geometric progression word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for ICSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.