Class 10 Maths Arithmetic Progressions Test Paper

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📖 Curriculum: NCERT / CBSE Latest Syllabus  |  🎯 Focus: Conceptual Clarity & Board Exam Success

Class 10 Maths Sample Paper | Chapter: Arithmetic Progressions

Prepare for your exams with this Class 10 Mathematics: Arithmetic Progressions Practice Worksheet, a premium bilingual (Hindi + English) resource strictly aligned with the latest CBSE & NCERT 2025–26 syllabus. This worksheet is designed on the basis of CBSE past-year trends and includes the most probable exam questions from A.P., such as nth term, sum of terms, three consecutive terms, and application-based numericals. The paper follows an exact 20-marks blueprint and contains 10 high-yield questions for focused exam preparation.

Arithmetic Progressions – Practice Worksheet

Section A: Very Short Answer (1 Mark Each)

Q1. Find the common difference of the A.P.: 7, 3, −1, −5, …

निम्न A.P. का समान अंतर ज्ञात कीजिए: 7, 3, −1, −5, …

Q2. Write the first term of the A.P. whose nth term is given by: a_n = 4n − 1.

उस A.P. का प्रथम पद लिखिए जिसका nवाँ पद a_n = 4n − 1 है।

Q3. How many terms are there in the A.P.: 2, 5, 8, …, 92?

A.P. 2, 5, 8, …, 92 में कुल कितने पद हैं?

Section B: Short Answer (2 Marks Each)

Q4. Find the nth term of the A.P. whose first term is 5 and common difference is 6.

उस A.P. का nवाँ पद ज्ञात कीजिए जिसका प्रथम पद 5 तथा समान अंतर 6 है।

Q5. Which term of the A.P. 15, 12, 9, … is −30?

A.P. 15, 12, 9, … का कौन-सा पद −30 है?

Q6. Find three consecutive terms of an A.P. whose sum is 45 and product is 3240.

उस A.P. के तीन क्रमागत पद ज्ञात कीजिए जिनका योग 45 है।

Q7. Find the sum of the first 15 terms of the A.P.: 4 + 7 + 10 + …

A.P. 4, 7, 10, … के प्रथम 15 पदों का योग ज्ञात कीजिए।

Section C: Long Answer (3 Marks Each)

Q8. If the sum of the first 10 terms of an A.P. is 210 and its first term is 3, find its common difference.

यदि किसी A.P. के प्रथम 10 पदों का योग 210 है तथा प्रथम पद 3 है, तो समान अंतर ज्ञात कीजिए।

Q9. Find the sum of all two-digit numbers which are divisible by 5.

5 से विभाज्य सभी दो अंकों की संख्याओं का योग ज्ञात कीजिए।

Q10. How many terms of the A.P. 6, 13, 20, … must be taken so that their sum is 406?

A.P. 6, 13, 20, … के कितने पद लेने पर उनका योग 406 होगा?

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💡 Important Exam & Study Tips

• Master NCERT Fundamentals: Ensure thorough familiarity with standard textbook definitions, formulas, and in-text examples before solving advanced problems.
• Step-by-Step Presentation: In board examinations, neat presentation, correct formula application, and labeled steps earn maximum step-marking.
• Practice Under Timed Conditions: Regular practice with previous years' question papers (PYQs) builds exam speed and accuracy.

📚 Related Study Materials on StudyMats

Access more chapter-wise notes and practice papers:

• StudyMats Home — Complete Educational Study Material
• AP Worksheet Study Notes & Question Papers
• Arithmetic Progressions Study Notes & Question Papers
• CBSE 2025-26 Study Notes & Question Papers
• CBSE Class 10 Study Notes & Question Papers

❓ Frequently Asked Questions (FAQs)

Q1: Are these solutions aligned with the latest rationalized syllabus?

Yes, all study notes and practice questions on StudyMats strictly follow the updated NCERT textbook pattern and CBSE assessment guidelines.

Q2: How can I prepare this chapter for highest marks?

Review the theory thoroughly, solve all textbook exercise questions, and repeatedly practice the high-frequency questions provided in this guide.