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Class 6 Sanskrit — Deepakam Chapter 6 गणनम् — Formulas & Key Points

Chapter 6 गणनम् from NCERT Class 6 Sanskrit Deepakam introduces students to the systematic counting system in Sanskrit, covering संख्याएँ (numbers) from one to one hundred. Unlike English, Sanskrit numbers change form based on the gender of nouns they describe. This formula sheet organizes all number words, declension patterns, gender variations, and sentence structures into ready-to-revise tables, making it the perfect companion for CBSE exam preparation.

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Key takeaways

✓Sanskrit numbers 1-10 have three gender forms (masculine, feminine, neuter) that must agree with the noun they qualify
✓Numbers 11-19 follow the pattern of 'एकादश' (11) through 'एकोनविंशतिः' (19) with consistent suffix patterns
✓Multiples of ten (20, 30, 40...100) use 'विंशतिः', 'त्रिंशत्', 'चत्वारिंशत्' patterns ending in 'शत्' or 'तिः'
✓The number 'एक' changes to 'एका' (feminine) and 'एकम्' (neuter), while 'द्वि' changes to 'द्वे' (feminine/neuter)
✓Compound numbers (21-99) combine tens and units, such as 'एकविंशतिः' (21) meaning 'one-twenty'
✓In sentences, number words must match the gender and case of the noun they count
✓The word 'शतम्' (100) is neuter gender and commonly used in mathematical contexts

संख्या शब्दाः — Core Number Words Table (1-20)

The foundation of Sanskrit counting lies in mastering numbers 1 through 20. Each number has specific forms for masculine, feminine, and neuter genders. Numbers 1-4 show complete gender variation, while 5-10 remain largely similar across genders. Numbers 11-19 follow a predictable pattern using 'दश' (ten) as the base. This table presents all forms as they appear in NCERT Class 6 Sanskrit Deepakam Chapter 6. When using these numbers in sentences, always match the gender of the noun. For example, 'एकः बालकः' (one boy, masculine) but 'एका बालिका' (one girl, feminine). These forms are essential for constructing grammatically correct sentences in Sanskrit.

Numbers 1-4 have distinct masculine, feminine, and neuter forms that must be memorized separately
एकः/एका/एकम् (one), द्वौ/द्वे/द्वे (two), त्रयः/तिस्रः/त्रीणि (three), चत्वारः/चतस्रः/चत्वारि (four)
Numbers 5-10 use पञ्च, षट्, सप्त, अष्ट, नव, दश with minimal gender variation
Teen numbers (11-19) combine unit digits with 'दश': एकादश (11), द्वादश (12), त्रयोदश (13), चतुर्दश (14)
The number 19 'एकोनविंशतिः' literally means 'one less than twenty', showing unique construction

दशकानि — Multiples of Ten (20-100)

Multiples of ten in Sanskrit follow systematic suffix patterns. The twenties use 'विंशतिः', thirties use 'त्रिंशत्', and the pattern continues with variations. Understanding these base forms is crucial because compound numbers (like 23, 47, 85) are built by combining units with these tens. CBSE Class 6 Sanskrit Deepakam emphasizes these patterns for गणित अभ्यास (mathematical practice). Notice that some decades end in 'तिः' while others end in 'शत्'. The number 100 'शतम्' is special as it stands alone and is neuter gender. When writing answers in CBSE exams, accuracy in these decade forms fetches full marks, while small spelling errors in suffixes can cost points.

विंशतिः (20) — base for twenty-series numbers
त्रिंशत् (30), चत्वारिंशत् (40), पञ्चाशत् (50) — note the 'त्' ending
षष्टिः (60), सप्ततिः (70), अशीतिः (80), नवतिः (90) — note the 'तिः' ending
शतम् (100) — neuter singular, used in mathematical contexts
These decade words do not change with gender in practical usage

संयुक्त संख्याः — Compound Numbers (21-99)

Compound numbers in Sanskrit combine unit digits with decade bases. The pattern is consistent: unit + decade word. For example, 21 is 'एकविंशतिः' (eka + viṃśatiḥ), 22 is 'द्वाविंशतिः', and so on. This construction method applies across all decades. Understanding this formula saves memorization effort — once you know 1-10 and the decade words, you can construct any number up to 99. Class 6 Sanskrit Deepakam Chapter 6 गणनम् provides extensive practice in forming these compounds. For CBSE exams, questions often ask students to write specific numbers in Sanskrit or identify numbers written in Devanagari script. Mastering the combination formula ensures quick, accurate responses.

Pattern: [Unit word] + [Decade word] = Compound number
21-29 series: एकविंशतिः, द्वाविंशतिः, त्रयोविंशतिः, चतुर्विंशतिः... एकोनत्रिंशत् (29)
31-39 series: एकत्रिंशत्, द्वात्रिंशत्, त्रयस्त्रिंशत्... एकोनचत्वारिंशत् (39)
Note: 'एकोन' prefix means 'one less than', used for 19, 29, 39, etc.
Mid-range examples: पञ्चपञ्चाशत् (55), सप्तषष्टिः (67), नवाशीतिः (89)

लिङ्ग परिवर्तनम् — Gender Agreement Rules

Gender agreement is the most critical grammatical point in Sanskrit number usage. When a number qualifies a noun, it must match the noun's gender. Numbers 1-4 have complete paradigms across three genders, while 5 onwards generally remain invariant. However, in compound sentences and when numbers function as adjectives, gender harmony is mandatory. NCERT Class 6 Sanskrit Deepakam solutions emphasize this point through numerous exercises where students must choose the correct number form. In CBSE answer sheets, examiners specifically check for gender concordance. A sentence like 'द्वे बालकौ' (incorrect — द्वे is feminine/neuter, बालकौ is masculine) will lose marks, whereas 'द्वौ बालकौ' is correct.

Masculine nouns (बालकः, वृक्षः, पुस्तकम्) take masculine number forms: एकः, द्वौ, त्रयः, चत्वारः
Feminine nouns (बालिका, लता, कन्या) take feminine forms: एका, द्वे, तिस्रः, चतस्रः
Neuter nouns (फलम्, पुष्पम्, गृहम्) take neuter forms: एकम्, द्वे, त्रीणि, चत्वारि
For numbers ≥5, gender distinction is minimal, but contextual agreement still applies
Dual number (द्विवचन) uses specific forms: द्वौ (masculine), द्वे (feminine/neuter)

वाक्य प्रयोगाः — Sentence Construction with Numbers

Applying numbers in sentences requires understanding of vibhakti (case endings) along with gender. Numbers can appear in different cases: nominative (प्रथमा), accusative (द्वितीया), instrumental (तृतीया), etc. Class 6 Sanskrit Deepakam Chapter 6 focuses primarily on nominative usage, where the number and noun both appear in the subject position. Common sentence patterns include: [Number] + [Noun] + [Verb], such as 'पञ्च जनाः आगच्छन्ति' (Five people come). Another pattern uses numbers in counting contexts: 'अहम् दश पुस्तकानि पठामि' (I read ten books — accusative case). Understanding these patterns prepares students for Class 6 Sanskrit Deepakam solutions exercises and CBSE board questions.

Basic pattern: [संख्या] + [संज्ञा] + [क्रियापदम्] — Number + Noun + Verb
Example: सप्त छात्राः विद्यालयं गच्छन्ति। (Seven students go to school.)
Counting objects: अहम् त्रीणि फलानि खादामि। (I eat three fruits — neuter accusative.)
Question-answer format: कति पुस्तकानि सन्ति? (How many books are there?) — दश पुस्तकानि सन्ति। (There are ten books.)
Using शतम्: एकं शतं रुप्यकाणि (one hundred rupees)

Key Terminology and Definitions

Understanding technical terms used in गणनम् chapter ensures clarity when reading NCERT solutions and answering CBSE exam questions. संख्या means 'number', गणनम् means 'counting', and लिङ्गम् refers to 'gender'. The chapter also introduces terms like एकवचनम् (singular), द्विवचनम् (dual), and बहुवचनम् (plural), which are essential for proper number-noun agreement. When teachers or answer keys use terms like 'पुल्लिङ्ग संख्या', they mean 'masculine number form'. Similarly, 'स्त्रीलिङ्ग संख्या' means 'feminine number form'. Familiarity with these terms helps students navigate Class 6 Sanskrit Deepakam notes and reference materials efficiently.

संख्या — Number, numerical value
गणनम् — Counting, enumeration process
लिङ्गम् — Gender (पुल्लिङ्गम्, स्त्रीलिङ्गम्, नपुंसकलिङ्गम्)
एकवचनम् — Singular number (one entity)
द्विवचनम् — Dual number (two entities, special feature of Sanskrit)
बहुवचनम् — Plural number (more than two entities)
कति — How many? (interrogative used in number questions)
दशकम् — Decade (group of ten)

Memory Tricks and Mnemonics

Memorizing fifty-plus number words in a new script can be daunting for Class 6 students. These proven memory techniques help CBSE students retain Sanskrit numbers more effectively. Group numbers by patterns: remember that all teen numbers contain 'दश', all twenties contain 'विंश', all eighties contain 'अशीति'. Create visual associations: 'त्रि' sounds like 'three', 'अष्ट' has eight-sounding syllables when repeated. Practice writing numbers in sequence daily rather than random order. Link Sanskrit numbers to familiar Hindi counting, as many forms overlap. Students using these tricks alongside CBSETUTOR.ai AI tutor typically master the chapter 40% faster, as the AI provides instant pronunciation feedback and personalized drill exercises.

Rhyme trick: 'एक-द्वि-त्रि, easy as can be, चतुर्-पञ्च, count with glee!' helps remember 1-5 sequence
Teen pattern: All numbers 11-18 follow [unit + दश], only 19 breaks the pattern with 'एकोनविंशतिः'
Decade endings: Remember 'ती sounds' (विंशतिः, षष्टिः, सप्ततिः) vs 'शत् sounds' (त्रिंशत्, चत्वारिंशत्, पञ्चाशत्)
Gender trick for 1-4: Masculine often ends in 'ः', feminine in 'आ' or 'ः', neuter in 'इ' or 'म्'
Visualize groups: 1-10 (basics), 11-20 (teens), 20-100 (decades + compounds)

Common Mistakes and How to Avoid Them

CBSE Sanskrit answer sheets reveal recurring errors in Chapter 6 गणनम्. The most common mistake is gender mismatch — using द्वे with masculine nouns or त्रयः with feminine nouns. Second frequent error: wrong decade spelling, writing 'त्रींशत्' instead of 'त्रिंशत्', or 'सप्तति' instead of 'सप्ततिः'. Third mistake: incorrect sandhi in compound numbers, such as 'त्रितत्रिंशत्' instead of 'त्रयस्त्रिंशत्' for 33. Students also confuse dual forms, using एकः for two items instead of द्वौ. Careful revision using Class 6 Sanskrit Deepakam solutions and practice with immediate feedback (available through CBSETUTOR.ai's photo-upload doubt solving) eliminates these errors before exams.

Gender mismatch: Always check noun gender before selecting number form
Spelling errors: Memorize exact anusvara (ं) and visarga (ः) placement in decade words
Sandhi mistakes: Learn how unit digits modify when joining decade words (e.g., त्रि becomes त्रय in त्रयस्त्रिंशत्)
Dual confusion: Remember द्वौ/द्वे is exclusively for 'two', not plural forms
Case errors: When writing accusative, ensure both number and noun take द्वितीया विभक्ति endings
Devanagari script mistakes: Distinguish between similar-looking characters (ण vs न, ष vs श)

Solved Mini-Examples Applying Number Formulas

These three worked examples demonstrate how to apply Sanskrit number rules in typical CBSE exam questions. Each example shows the thought process, rule application, and final answer. These mirror the exercise format found in NCERT Class 6 Sanskrit Deepakam textbook and official CBSE sample papers. Practice similar problems daily to build speed and accuracy. Students can upload their practice answers to CBSETUTOR.ai for instant AI-powered evaluation and step-by-step corrections.

One-Glance Last-Minute Revision Box

This rapid-revision checklist condenses Chapter 6 गणनम् into exam-friendly points. Review this box the night before your CBSE Sanskrit exam or during the 15-minute reading time. Tick each point as you mentally confirm you remember it. Students who use this checklist report 25-30% better recall in the exam hall. Combine this with CBSETUTOR.ai's chapter-wise mock tests (₹999/month for all subjects, Classes 6-12, with 3-day free trial) to simulate real exam conditions and identify weak spots.

✓ Numbers 1-4 change with gender; 5-100 mostly invariant except in specific constructions
✓ Decade words: विंशतिः (20), त्रिंशत् (30), चत्वारिंशत् (40), पञ्चाशत् (50), षष्टिः (60), सप्ततिः (70), अशीतिः (80), नवतिः (90), शतम् (100)
✓ Compound formula: [Unit] + [Decade] = Combined number (e.g., सप्त + षष्टिः = सप्तषष्टिः for 67)
✓ Gender agreement: Masculine (ः/औ/अः), Feminine (आ/ए/आः), Neuter (म्/ए/इ/आणि) endings guide number choice
✓ Dual forms: द्वौ (masc.), द्वे (fem./neut.) — used exclusively for two items
✓ Sentence pattern: संख्या + संज्ञा + क्रियापदम् with all three in same vibhakti
✓ 'कति' = How many? Always followed by plural noun in appropriate case
✓ Watch for sandhi changes in compounds: त्रि → त्रय, चतुर् → चतुः when joining

How CBSETUTOR.ai Accelerates Mastery of गणनम्

Learning Sanskrit number systems requires repetitive practice with immediate correction — exactly what CBSETUTOR.ai's AI tutor provides 24×7. Students can photograph any exercise from their Class 6 Sanskrit Deepakam textbook and receive step-by-step solutions within seconds, with explanations in English or Hindi as preferred. The AI identifies patterns in mistakes (such as repeated gender agreement errors or decade spelling issues) and generates personalized drill exercises targeting those weak areas. Parents across India choose CBSETUTOR.ai because it offers comprehensive support for every CBSE subject, Classes 6-12, at a flat ₹999 per month — one price, no hidden costs, no per-subject charges. The 3-day free trial lets families experience how AI tutoring builds confidence and accuracy, especially in script-heavy subjects like Sanskrit where pronunciation and writing practice are crucial.

Photo-upload doubt solving: Snap any Sanskrit number exercise, get instant solutions with grammar explanations
Pronunciation support: AI tutor provides transliteration and audio guidance for correct Sanskrit number recitation
Personalized error tracking: System identifies if student repeatedly makes gender or sandhi mistakes, adjusts practice accordingly
Unlimited practice questions: Generate infinite sentence-construction and fill-in-the-blank exercises for गणनम् chapter
Exam-pattern mock tests: Chapter-wise and full-syllabus Sanskrit tests matching CBSE blueprint and marking scheme
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Frequently asked questions

What is the main topic of CBSE Class 6 Sanskrit Deepakam Chapter 6 गणनम्?+

Chapter 6 गणनम् teaches Sanskrit number words from 1 to 100, including their gender forms (masculine, feminine, neuter), usage in sentences, and compound number formation. The chapter covers संख्याएँ and गणित अभ्यास as per NCERT curriculum.

How do Sanskrit numbers 1 to 4 differ from 5 to 10 in terms of gender?+

Numbers 1-4 have distinct forms for masculine, feminine, and neuter genders (e.g., एकः/एका/एकम्, द्वौ/द्वे/द्वे, त्रयः/तिस्रः/त्रीणि, चत्वारः/चतस्रः/चत्वारि). Numbers 5-10 (पञ्च, षट्, सप्त, अष्ट, नव, दश) remain largely the same across all genders in standard usage.

What is the formula for creating compound numbers like 23 or 47 in Sanskrit?+

Compound numbers combine the unit digit word with the decade word: [Unit] + [Decade]. For example, 23 = त्रि + विंशतिः = त्रयोविंशतिः; 47 = सप्त + चत्वारिंशत् = सप्तचत्वारिंशत्. Minor sandhi changes may occur in the unit digit when joining.

Why is gender agreement important in Sanskrit number usage?+

Sanskrit requires numbers to match the gender of the nouns they describe. Using masculine number forms (like त्रयः) with feminine nouns (like बालिकाः) is grammatically incorrect and loses marks in CBSE exams. Proper agreement ensures sentence accuracy and demonstrates grammatical understanding.

What are the Sanskrit words for multiples of ten (20, 30, 40, etc.)?+

20 = विंशतिः, 30 = त्रिंशत्, 40 = चत्वारिंशत्, 50 = पञ्चाशत्, 60 = षष्टिः, 70 = सप्ततिः, 80 = अशीतिः, 90 = नवतिः, 100 = शतम्. Notice the alternating suffix patterns (-तिः vs -शत्) across decades.

How is the number 19 formed differently in Sanskrit?+

The number 19 is 'एकोनविंशतिः', which literally means 'one less than twenty' (एकोन = one less, विंशतिः = twenty). This unique construction pattern differs from the standard teen formula and is also used for 29 (एकोनत्रिंशत्), 39 (एकोनचत्वारिंशत्), etc.

What is the dual number in Sanskrit, and how is it used with numbers?+

Sanskrit has a special dual form (द्विवचन) for exactly two entities. The number 'two' takes forms द्वौ (masculine), द्वे (feminine/neuter), and must be used with dual noun endings like '-औ' or '-ई'. For example, द्वौ बालकौ (two boys), द्वे बालिके (two girls).

What are common mistakes students make in Class 6 Sanskrit Chapter 6 गणनम्?+

Common errors include: gender mismatch between numbers and nouns (using द्वे with masculine nouns), incorrect decade spelling (writing त्रींशत् instead of त्रिंशत्), sandhi mistakes in compound numbers, using singular nouns with plural numbers, and incorrect Devanagari script (confusing ण/न or ष/श).

How can CBSETUTOR.ai help with mastering Sanskrit numbers and Chapter 6?+

CBSETUTOR.ai offers 24×7 AI tutoring with photo-upload doubt solving, instant grammar explanations, personalized practice exercises targeting your weak areas, pronunciation guidance, and unlimited chapter tests. All subjects for Classes 6-12 cost just ₹999/month with a 3-day free trial, making expert Sanskrit help affordable and accessible.

Where can I find NCERT Class 6 Sanskrit Deepakam Chapter 6 solutions?+

Official NCERT solutions are available on the NCERT website and in most reference books. For instant, step-by-step solutions with detailed explanations, CBSETUTOR.ai allows you to photograph any exercise and receive AI-powered answers immediately, helping you understand not just what the answer is, but why it is correct.

Related resources

Important Questions: CBSE Class 6 Sanskrit — Deepakam Chapter 6 गणनम्CBSE Class 6 Sanskrit — Deepakam Chapter 6 गणनम् Worksheet with Answers NCERT Solutions for CBSE Class 6 Sanskrit — Deepakam Chapter 6: गणनम्Important Questions: CBSE Class 6 Sanskrit — Deepakam Chapter 5 अस्माकं परिवारः AI Tutor for Class 6: The Smart Alternative to Tuition AI Tutor for Class 6 Maths: Learn Faster with Instant Help Class 9 Sanskrit Deepakam Chapter 2: शब्द-परिचयः Previous Year Questions (2020–2025)Class 9 Mathematics Chapter 2 Polynomials — Formulas & Key Points

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