Class 6 Maths (Ganit) NCERT Solutions

Chapter 1: Apne Aas Paas ki Sankhyaen

Is chapter mein hum numbers yaani sankhyaon ki duniya mein thoda aur gehrayi se utrenge—ki ye daily life mein kaise kaam aati hain, kaise unki tulna (comparison) karte hain, kaise unhe chhote se bade ya bade se chhote kram (ascending-descending) mein lagate hain, aur Roman numerals ka kya raaz hai. Neeche jo exercises hain, unke solutions humne bilkul saaf-saaf, aam bhasha mein likhe hain—taaki aapko har concept na sirf yaad rahe, balki dil se samajh aa jaye. Koi jaankari aadhi-adhuri nahi, koi step skip nahi—bas seedha-saada hisaab.

Links for Chapter-wise Download NCERT Solution for Class 6 गणित in hindi Language

Here we have provided NCERT Solution for Class 6 गणित in hindi Language, Just select the chapters below to get solution of the same:

पूर्ण संख्याएँ

संख्याओं के साथ खेलना

आधरभूत ज्यामितीय अवधरणाएँ

प्रारंभिक आकारों को समझना

पूर्णांक

अनुपात और समानुपात

दशमलव

आँकड़ों का प्रबंधन प्रायोगिक ज्यामिति

क्षेत्रमिति

बीजगणित

अनुपात और समानुपात

सममिति

प्रायोगिक ज्यामिति

Class 6 Maths Chapter 1: Complete Solutions

Yahan Chapter 1 ke saare important questions uthaye gaye hain, aur unke solutions bhi poore detail mein diye gaye hain. Har step ko tod-tod kar samjhane ki koshish ki hai, taaki koi bhi student atka na rahe.

Exercise 1.1: Basic Number Concepts

Is exercise mein hum dekhte hain ke numbers sirf kitaabon mein nahi, balki roz ki zindagi mein kaise kaam aate hain. Jaise bazaar se cheezein khareedna ho, ya ghar ka budget banana ho, ya phir school mein marks jodna ho — numbers har jagah hain. Hum yahan basic concepts ko aise examples ke saath samajhte hain jo aapko familiar lagein. Thoda sa dhyan do, toh yeh sab kuch easy lagne lagega. Kuch log sochte hain ke maths mushkil hai, lekin jab aap numbers ko apne aas-paas ke kaam se jod kar dekhte hain, toh cheezein clear ho jaati hain. Toh chalo, is exercise mein hum yehi karte hain — numbers ko real life se jodna seekhte hain, aur dekhte hain ke yeh kitne useful hain.

• Question 1: Ek football match mein 45,000 log maujood the. Ab is number ko words mein likhna hai.
• Forty-five thousand. That's the answer, plain and simple.
• Question 2: Ek book ki price Rs 287 hai. Toh, kya aap ise number name mein likh sakte hain? Yaani, isko shabdon mein kaise likhenge? Aapne shayad pehle bhi aise number dekhe honge, lekin yahan thoda dhyan dena hoga. Rs 287 ko hum "Two Hundred Eighty-Seven Rupees" ke roop mein likhte hain. Bas itna hi — simple aur seedha. Toh, aap bhi try kijiye, kya aap ise sahi tareeke se likh paate hain?
• Two hundred eighty-seven. That’s the whole answer, plain and simple.

Exercise 1.2: Comparing Numbers

Yahaan aap seekhenge ki do numbers ki tulna kaise karni hai. Greater than (> ) aur less than (

• Dono numbers ko dekho — 5678 aur 5687. Pehle digit, yaani hazaar wala, dono mein same hai, 5. So no luck there. Agla digit bhi same hai, 6. Ab teen wale digit par aate hain — 5678 mein 7 hai, aur 5687 mein 8. Aur wahi decide kar deta hai. 8, 7 se bada hai, isliye 5687 hi bada number hai. Simple, hai na?
• Start with the leftmost digit—that’s the trick. Both numbers have 5, so they cancel out. Move to the next one: 6 in each, still tied. Now the third digit. First number shows 7, second shows 8. Seven is less than eight, plain and simple. So 5678 comes before 5687, or to write it properly, 5678 < 5687. No drama, just compare digit by digit until something finally differs.

Important Rules and Formulae

Ascending order just means lining numbers up from the smallest to the biggest. Simple enough, right? Take 345, 123, and 789—shuffle them around, and you get 123, 345, 789. That's it. Start with the tiniest, end with the largest, and you've got it sorted.

Descending order just means lining numbers up from biggest to smallest. Like 789, then 345, then 123. That's really all there is to it—take the largest first and work your way down.

Roman Numerals Practice

Roman numerals—I, V, X, L, C, D, M—might look like fancy letters, but they’re actually a number system. Getting comfortable with them is a solid skill to have. You see them on clocks, in movie copyrights, even in Super Bowl names, so it’s not just some dusty textbook thing. The trick isn’t memorizing a chart cold; it’s about understanding how these symbols combine and subtract in certain spots. Once you get the hang of that, reading them becomes second nature. Honestly, it’s one of those topics that seems intimidating at first glance, but it clicks faster than you’d think. So yeah, knowing how to use these symbols matters, and it’s worth the few minutes to practice.

• I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000. Those are your building blocks right there. Seven letters, that’s it. You stack them, you subtract when a smaller one sits in front, and you’re off to the races.
• Chhota numeral agar bade ke left side mein ho, toh woh subtract hota hai. Jaise IV matlab 5 minus 1, jo ke 4 hota hai. Simple.
• Simple rule here—when a smaller numeral sits to the right of a bigger one, you just add them together. Take VI, for instance. That’s 5 plus 1, which gives you 6. Easy, right?
• 49 ko Roman numerals mein likhiye—yeh sawal aksar aata hai. Toh jawab hai XLIX. Dekho, 49 banane ke liye pehle 40 ko X se pehle L lagakar XL likhte hain, matlab 50 minus 10. Phir 9 ko IX likhte hain, jo 10 minus 1 hai. Dono ko jod do—XL aur IX—toh milta hai XLIX. Bas, itna hi. Thoda tricky lagta hai pehli baar mein, lekin practice se seedha ho jata hai.
• Here’s the quick breakdown: 49 splits into 40 plus 9. The 40 becomes XL—that’s 50 minus 10. The 9 turns into IX, which is 10 minus 1. Put them side by side and you get XLIX. Simple once you see it.

Word Problems (Shabd Samasyaen)

Word Problems (Shabd Samasyaen) [PARA] In questions mein, ek story ya situation di jati hai jisme numbers ka use hota hai—kabhi kabhi wo numbers chhup ke baithte hain, seedha saamne nahi aate. Aapko usse dhyan se padhna hai, phir samajhna hai ki kya poocha ja raha hai. Answer find karna hota hai. Bas. Koi shortcut nahi, koi jadoo nahi. Bas thoda sa dimaag aur thodi si mehnat. Aur haan, galti karne se mat daro—har galti se kuch naya seekhne ko milta hai.

School mein 456 boys hain aur 389 girls. Ab total students nikaalne hain— toh simple addition ka sawaal hai. 456 aur 389 ko jod do, bas. Kitne bane? Yahi hai word problem ka asli funda: numbers ko story mein samajhna, aur phir sahi operation chunna. Toh jawaab dhoondo, jaldi se.

So, let’s just work through it. We’ve got 456 boys and 389 girls—total students is simply boys plus girls. Start with the units: 6 plus 9 gives you 15, so you jot down 5 and carry that 1 over. Then the tens: 5 plus 8 is 13, plus the carry makes 14—write the 4, carry the 1 again. Finally, the hundreds: 4 plus 3 is 7, add the carry and you’ve got 8. Put it all together, and there you have it: 845 students. Easy once you keep the carries straight.

Revision Tips (Jaroori Suggestion)

• Har exercise ke baad, practice questions khud se solve karein. Bilkul waise hi jaise koi cheez seekhne ke baad turant test karte hain—yehi tareeqa hai jo cheezein dimaag mein pakki karta hai. Bas padhna kaafi nahi, sawaal khud try karo. Chaahe ghalat ho, koi baat nahi. Ghalati se hi seekhne ko milta hai. Toh aage badho, har ek exercise ke peechhe practice questions zaroor solve karo, aur dekho kitni jaldi cheezein clear hoti hain.
• Bolkar practice karna hi asli raaz hai. Roz thoda sa waqt nikalein, aur number names ko zor se bolein—bass, yahi kaafi hai. Jab aap unhe bolte hain, dimaag unhe behtar pakadta hai, aur likhne se zyada asar hota hai. Kuch log chup chaap yaad karte hain, lekin bolkar sunne se aawaz aur yaad dono jud jaate hain. To aaj se try karein, har number naam ko kam se kam teen baar boliye. Aap dekhenge, jaldi hi aadat ban jaayegi.
• Ek chart bana lo, Roman numerals ke rules ka. Sirf dekhne se kaam nahi chalega, haath se likh kar samjho. Thoda time lagao, phir khud test karo. Simple hai, bas practice chahiye.
• Jo bhi concept kamzor lag raha hai, usse ek baar phir se textbook khol ke padhiye—aur saath mein examples bhi khud solve kijiye. Bas yahi kafi hai, bhai, revision ka asli faida tabhi hai jab aap wapas jaake usi cheez ko gaur se dekhein. Pehle padhna, phir likhna, phir dobara check karna—yeh loop hi aapko pakka kar degi. Thoda time lagega, lekin yehi tareeqa hai jo kaam karta hai.

In solutions se aap Chapter 1 ko ache se samajh sakte hain aur exam ki preparation acche se kar sakte hain. Agar koi doubt ho toh apne teacher se zaroor puchen. Here is a rewritten version: Ye solutions aapke liye kaafi kaam aayenge, kyunki inki madad se Chapter 1 ka concept saaf ho jayega aur exam ki taiyari bhi strong hogi. Abhi koi sawal ya confusion man mein ho, toh use aise hi mat chhodiye — teacher ke paas jayein aur poochh lein. Wohi sabse acha rasta hai. Aur haan, revision karte waqt jo bhi jagah atkein, usko note karke teacher ko zaroor dikhayein, taaki exam se pehle sab clear ho.