Chapter 5 · Class 10 CBSE · Free Worksheet PDF
Arithmetic Progressions Sums for Class 10 — Free CBSE Worksheet PDF with Answers
Download a free printable arithmetic progressions worksheet for Class 10 CBSE with 30 practice questions covering arithmetic progressions concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. CBSE-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.
Sample Arithmetic Progressions Sums for Class 10 — Practice Questions
Here are 8 sample arithmetic progressions sums from this Class 10 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.Which of the following sequences is an Arithmetic Progression (AP)?
A.2, 4, 8, 16, ...
B.1, 4, 9, 16, ...
C.3, 6, 9, 12, ...
D.1/2, 1/3, 1/4, 1/5, ...
Difficulty: Easy
Q2.For an AP, if the first term is 'a' and the common difference is 'd', which of the following statements is INCORRECT?
A.The n-th term is given by a_n = a + (n-1)d
B.The common difference 'd' can be zero.
C.The terms of an AP always increase if 'd' is positive.
D.If a sequence has a constant difference between consecutive terms, it is an AP.
Difficulty: Easy
Q3.A student wrote the first few terms of an AP as 5, 8, 11, 14, ... and concluded that the 10th term is 32. Identify the mistake in their reasoning.
A.The first term 'a' is incorrectly identified.
B.The common difference 'd' is incorrectly calculated.
C.The formula for the n-th term was applied incorrectly.
D.There is no mistake; the 10th term is indeed 32.
Difficulty: Easy
Q4.If the common difference of an AP is 5, what is the value of a_18 - a_13?
A.5
B.25
C.15
D.30
Difficulty: Easy
Q5.Which of the following represents an arithmetic progression where the terms are decreasing?
A.a = 7, d = 3
B.a = -2, d = 5
C.a = 10, d = -2
D.a = 0, d = 0
Difficulty: Easy
Q6.A gardener plants 15 saplings on the first day, 18 on the second day, 21 on the third day, and so on. If this pattern continues, how many saplings will he plant on the 7th day?
A.27
B.30
C.33
D.36
Difficulty: Easy
Q7.Consider the sequence given by a_n = 3n - 5. Is this an Arithmetic Progression? If so, what is its common difference?
A.Yes, d = 3
B.Yes, d = -5
C.No, it's not an AP
D.Yes, d = -2
Difficulty: Easy
Q8.Which of the following statements about an Arithmetic Progression is TRUE?
A.If each term of an AP is multiplied by a non-zero constant, the resulting sequence is always an AP.
B.If each term of an AP is squared, the resulting sequence is always an AP.
C.If each term of an AP is divided by a non-zero constant, the resulting sequence is never an AP.
D.The product of any three consecutive terms of an AP is always zero.
Difficulty: Easy
Answer Key — Sample Questions+
Q1:3, 6, 9, 12, ...
Q2:The terms of an AP always increase if 'd' is positive.
Q3:The formula for the n-th term was applied incorrectly.
Q4:25
Q5:a = 10, d = -2
Q6:33
Q7:Yes, d = 3
Q8:If each term of an AP is multiplied by a non-zero constant, the resulting sequence is always an AP.
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | Arithmetic Progressions |
|---|---|
| Board | CBSE |
| Class | 10 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 10 CBSE
Frequently Asked Questions
Where can I download free arithmetic progressions sums for Class 10?+
You can download a free Arithmetic Progressions PDF worksheet for Class 10 CBSE right here on SparkEd. The worksheet includes 30 practice questions (arithmetic progressions 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 progressions questions are in this Class 10 worksheet?+
This SparkEd worksheet for Arithmetic Progressions Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover arithmetic progressions 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 Progressions 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 progressions worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 10 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Arithmetic Progressions 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 progressions word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for CBSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.
Practice Arithmetic Progressions Sums Online — Class 10 CBSE
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