Namaste bachcho! 🙏 Aaj se hum ek naya safar shuru kar rahe hain: Speed Maths. Speed Maths matlab hisaab (calculation) ko tez aur sahi karne ki chhoti-chhoti tricks. Is pehle post mein hum samjhenge ki mental maths ki power kya hai, aur pehli trick seekhenge: “Pehle 10 Banao”.
⏱ Before Timer: Pehle Purane Tareeke Se
Pehle school wala tareeka (column method) yaad kar lein. Isme numbers ek ke neeche ek likhte hain: ikai (sabse right wala digit) ke neeche ikai, dahai (uske left wala digit) ke neeche dahai. Phir right se jodna shuru karte hain. Ek chhota example, 28 + 15:
- Ikai: 8 + 5 = 13. Neeche sirf 3 likho. 13 mein jo “10” hai, woh “1” ban kar left wali dahai mein chala jaata hai. Ise “haath ka 1” ya carry kehte hain.
- Dahai: 2 + 1 + 1 (haath ka) = 4. Neeche 4 likho.
- Jawab: 43.
Ab phone ya ghadi mein stopwatch (samay naapne wali ghadi) chalu kijiye. Neeche wala sawaal isi school wale tareeke (column method) se kijiye, copy-pencil ke saath. Column method na aata ho to ungliyon pe gin kar bhi kar sakte hain. Jaise hi jawab mil jaaye, stopwatch rok dijiye aur apna time likh lijiye.
Mera time: ______ second
Jawab dekho
98 + 67 = 165
Abhi trick nahi dekhni! Post ke end mein After Timer mein yahi sawaal trick se karenge aur dono time ki tulna karenge. 😊
— 📌 charumam.com
✅ Pehle Yeh Aata Hai
Ghabraiye mat, is post ke liye bahut kam cheezein aani chahiye. Pehle kuch shabdon ka matlab samajh lete hain.
📖 Shabd jo is post mein aayenge
- Number (sankhya): koi bhi ginti, jaise 7, 25, 100.
- Digit (ank): number likhne ke 10 nishaan: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Jaise 47 mein do digit hain: 4 aur 7.
- Jod (addition, + ka nishaan): do ya zyada numbers ko milaana. 3 + 4 = 7 matlab 3 cheezein aur 4 cheezein milkar 7 cheezein.
- Ghatana (subtraction, − ka nishaan): kisi number mein se kuch nikaal lena. 10 − 3 = 7 matlab 10 mein se 3 nikaale to 7 bache.
- Mental maths: bina copy, pencil ya calculator ke, sirf dimaag mein hisaab karna.
- Round number: aise numbers jinke end mein 0 ho, jaise 10, 20, 50, 100, 200. Inhe jodna sabse aasaan hota hai.
- 10 ke dost: do numbers jo milkar 10 banaate hain, jaise 7 aur 3, ya 6 aur 4.
- Ikai, Dahai, Saikda (jagah ke naam): number mein har digit ki ek jagah hoti hai. Sabse right wali jagah Ikai (1 wale), uske left mein Dahai (10 wale), uske left mein Saikda (100 wale). 165 mein 5 ikai, 6 dahai (60) aur 1 saikda (100) hai. Neeche wale box mein chitra hai.
- Column method (school wala tareeka): numbers ek ke neeche ek likh kar, ikai ke neeche ikai aur dahai ke neeche dahai, right se jodna. Before Timer mein iska chhota example hai.
- Carry (haath ka): jab ikai ka jod 10 ya usse zyada ho jaaye (jaise 8 + 5 = 13), to us 13 ka “10” ek bundle ban kar left wali jagah, yaani dahai mein chala jaata hai. Ise “carry” ya “haath ka 1” kehte hain. Chapter 2 mein isse detail mein samjhenge.
- Bracket ( ): gol dabba jo hisaab ke ek hisse ko gherta hai. Niyam: pehle bracket ke andar wala hisaab karo, phir baaki. Jaise (9 + 1) + 6 mein pehle 9 + 1 = 10, phir 10 + 6 = 16.
📏 Bade numbers padhna aur round number mein jodna
Har digit ki ek jagah (place) hoti hai. Right se gino: pehli jagah Ikai (ones, 1 wale), uske left mein Dahai (tens, 10 wale), phir Saikda (hundreds, 100 wale), phir Hazaar (thousands, 1000 wale).
10 ka bundle: 10 ikai = 1 dahai (10). 10 dahai = 1 saikda (100). 10 saikde = 1 hazaar (1000). Har jagah apne right wali jagah se 10 guna badi hai.
| Number | Kaise padhein | Kis cheez se bana |
|---|---|---|
| 98 | attaanve | 9 dahai (90) + 8 ikai |
| 165 | ek sau painsath | 1 saikda (100) + 6 dahai (60) + 5 ikai |
| 999 | nau sau ninyaanve | 9 saikde (900) + 9 dahai (90) + 9 ikai |
| 1011 | ek hazaar gyaarah | 1 hazaar (1000) + 0 saikda + 1 dahai (10) + 1 ikai |
Round number mein chhota number jodna (place box niyam): chhote number ko right se likho, yaani ikai ke neeche ikai, dahai ke neeche dahai. Phir har dabbe mein jo hai, woh jawab mein utaar do. Ek digit wala number sirf ikai ka zero badalta hai, do digit wala ikai aur dahai dono.
- 100 + 65: 65 mein do digit, to 6 dahai mein aur 5 ikai mein: 1|6|5 = 165.
- 100 + 2: 2 sirf ikai mein, dahai ka 0 waise hi rehta hai: 1|0|2 = 102 (12 nahi, 120 nahi!).
- 200 + 6: 6 sirf ikai mein: 2|0|6 = 206.
- 1000 + 11: 11 mein do digit, to 1 dahai mein aur 1 ikai mein: 1|0|1|1 = 1011.
🔁 Chhota sa warm-up
- 6 + 4 = ?
- 10 + 8 = ?
- 100 + 35 = ?
Answers dekho
- 10
- 18
- 135
Teeno sahi? Badhiya, aage chaliye! Koi galat hua? Koi baat nahi, ungliyon pe gin kar dobara try kijiye. Is post mein sab kuch shuru se samjhaaya gaya hai.
— 📌 charumam.com
🎬 Kahani: Meena Didi Ki Chai Ki Dukaan
Aarav school ke baad Meena didi ki dukaan pe gaya. Usne ek ₹98 ka biscuit ka bada packet aur ₹67 ka juice liya.
Aarav ne jeb se copy nikaali aur jodna shuru kiya: “8 aur 7…” Itne mein Meena didi boli: “₹165 hue, beta!” 😲
Aarav: “Didi, aapne itni jaldi kaise kiya? Aapke paas calculator bhi nahi hai!”
Meena didi muskurai: “Beta, maine 98 ko 100 maan liya. 100 + 67 = 167. Par maine 2 zyada maan liye the, to 2 wapas kam kiye: 165. Isse kehte hain mental maths!”
Yahi hai Speed Maths ki power: numbers ke saath dosti. Jab aap numbers ko achhe se samajh lete ho, to bade hisaab bhi chhote ban jaate hain. Chaliye, Meena didi wali trick seekhte hain! 🚀
🤝 Do tareeke, ek jawab: Meena didi ne pehle 100 + 67 = 167 kiya, phir jo 2 zyada maane the woh baad mein ghata diye: 167 − 2 = 165. Is post ki trick mein hum woh 2 pehle hi 67 se le lenge: 67 − 2 = 65, phir 100 + 65 = 165. Dono tareekon se jawab 165. Aap jo aasaan lage, woh chuno. School wale column tareeke se bhi 98 + 67 = 165 hi aata hai.
Speed Maths se kya milega?
- ⏱ Time ki bachat: exam mein hisaab jaldi, to sochne wale sawaalon ke liye zyada time.
- 🎯 Kam galtiyan: chhote, aasaan steps mein galti kam hoti hai.
- 💪 Confidence: maths se darr nahi, maza aane lagta hai.
- 🛒 Roz ki zindagi: dukaan, bill, cricket score, sab mann mein.
— 📌 charumam.com
🪄 Trick Step by Step: Pehle 10 Banao (ya 100 Banao)
💡 Is post ki ek badi baat: Mann mein jodna tab sabse aasaan hota hai jab ek number round ho (10, 100 jaisa). Isliye ek number ko round banane ke liye doosre number se thoda udhaar lo. Jitna ek ko diya, utna doosre se liya, to total bilkul wahi rehta hai, bas sawaal aasaan ho jaata hai.
Step 1: Round ke paas wala number dhoondho
Sawaal: 9 + 7. Dono numbers dekho. 9 bilkul 10 ke paas hai. To 9 ko hum 10 banayenge.
“Round ke paas” ka niyam: jo number kisi round number (10, 20, 30, 50, 100, 200, 1000) se sirf 1, 2 ya 3 kam ho. Jaise 9, 8, 7 (10 se), 29 (30 se), 49 (50 se), 99, 98, 97 (100 se), 199, 198 (200 se). 95 jaisa number (100 se 5 kam) bhi chalega, par wahan doosre number se 5 ghatana padega, isliye thoda zyada dhyaan chahiye.
Step 2: Gino kitna kam hai
9 ko 10 banane mein kitna chahiye? 10 − 9 = 1. Yaani sirf 1 kam hai.
Step 3: Woh kami doosre number se le lo
Yeh 1 hum 7 se le lenge. Chhota number ghataane ke liye peeche ki taraf gino: 7 se ek kadam peeche, 6. Yaani 7 − 1 = 6. Ab sawaal ban gaya 10 + 6.
Step 4: Ab round number jodo
10 + 6 = 16. 10 mein kuch bhi jodna sabse aasaan hai: 10 matlab 1 dahai aur 0 ikai. 6 ek digit ka hai, to woh sirf ikai ke dabbe mein baithta hai: 1|6, yaani 16. To 9 + 7 = 16 ✅
Bade numbers pe bhi wahi 4 steps
| Step | 98 + 67 | 199 + 45 |
|---|---|---|
| 1. Round ke paas kaun? | 98 (100 ke paas) | 199 (200 ke paas) |
| 2. Kitna kam? | 100 − 98 = 2 | 200 − 199 = 1 |
| 3. Doosre se lo (peeche gino) | 67 − 2: 67 se peeche gino 66, 65. Yaani 65 | 45 − 1: ek kadam peeche, 44 |
| 4. Jodo | 100 + 65: 65 ko right se baithao (6 dahai mein, 5 ikai mein): 1|6|5 = 165 | 200 + 44: 4 dahai mein, 4 ikai mein: 2|4|4 = 244 |
Hazaar ke saath bhi: 999 + 12. 999 ko 1000 banane mein 1 chahiye. 12 se ek kadam peeche: 11. Ab 1000 + 11: 11 ko right se baithao, 1 dahai mein aur 1 ikai mein: 1|0|1|1 = 1011 (ek hazaar gyaarah). Upar “Bade numbers padhna” box mein iska chitra hai.
Yaad rakhne wale “dost”
10 ke dost: 1 aur 9, 2 aur 8, 3 aur 7, 4 aur 6, 5 aur 5. (Har jodi ka jod 10 hai.)
100 ke dost: 99 aur 1, 98 aur 2, 95 aur 5, 90 aur 10, 75 aur 25, 60 aur 40.
🆘 Atak gaye? Aise socho
- Kaunsa number round ke paas hai? Jo round number se sirf 1, 2 ya 3 kam ho, yaani jiske end mein 7, 8 ya 9 ho, jaise 8, 9, 19, 29, 97, 98, 99, 199. Wahi round banne ke liye sabse taiyaar hai.
- “Kitna kam” kaise ginein? Ungli pe aage gino: 98 → 99 → 100. Do kadam, yaani 2 kam.
- Doosre number se ghatana mushkil lage? Ulta karo: pehle round jodo, phir end mein kami ghata do. 100 + 67 = 167, phir 167 − 2 = 165. Jawab same!
- Phir bhi confusion? Copy mein dots bana kar dekho, jaise neeche “Kyun Kaam Karta Hai” wale chitra mein.
— 📌 charumam.com
🔍 Yeh Kaam Kyun Karta Hai?
Socho do tokri hain. Ek mein 9 aam, doosri mein 7 aam. Kul kitne aam?
Ab doosri tokri se 1 aam uthaa kar pehli tokri mein daal do. Pehli tokri mein 10 ho gaye, doosri mein 6. Kya kul aam badle? Nahi! Koi aam khaaya nahi, koi naya aam aaya nahi. Bas ek jagah se doosri jagah gaya. Isliye 9 + 7 aur 10 + 6 ka jawab ek hi hai: 16.
To 10 + 6 aasaan kyun hai? Hum numbers ko “10 ke bundle” mein likhte hain. 16 ka matlab hai 1 bundle (das) aur 6 khule. Jab ek number poora 10 ho, to bas “1 bundle” likho aur khule number ko saath rakh do. Koi ginti, koi carry nahi.
Ek line ka niyam: agar ek number mein koi chhota number jodo (jaise +1) aur doosre mein se wahi chhota number ghatao (−1), to +1 aur −1 aapas mein cancel ho jaate hain (ek doosre ko khatam kar dete hain). Isliye total nahi badalta:
Bracket ( ) ka niyam: neeche wali line mein gol bracket hain. Niyam simple hai: pehle bracket ke andar wala hisaab karo. (9 + 1) matlab 10, aur (7 − 1) matlab 6.
9 + 7 = (9 + 1) + (7 − 1) = 10 + 6 = 16
— 📌 charumam.com
✏️ Solved Examples (Har Ek Normal Tareeke Se Check)
Example 1: 8 + 5 = ?
8 ko 10 banane mein 10 − 8 = 2 chahiye (8 se aage gino: 9, 10, do kadam). 5 se 2 lo, peeche gino: 4, 3. Yaani 3. Ab 10 + 3: 3 sirf ikai mein baithta hai: 1|3 = 13.
✔️ Normal tareeke se check: 8 se aage 5 ginti gino: 9, 10, 11, 12, 13. Jawab 13 ✅
Example 2: 29 + 14 = ?
29 ko 30 banane mein 30 − 29 = 1 chahiye. 14 se 1 lo (ek kadam peeche): 13. Ab 30 + 13: 3 dahai aur 1 dahai milkar 4 dahai, saath mein 3 ikai: 43.
✔️ Normal tareeke se check: School wala tareeka (column): ikai 9 + 4 = 13, 3 likho aur 1 carry. Dahai 2 + 1 + 1 (carry) = 4. Jawab 43 ✅
Example 3: ₹99 ka pen aur ₹56 ki copy. Kul kitne?
99 ko 100 banane mein 1 chahiye. 56 se ek kadam peeche: 55. Ab 100 + 55: 55 ko right se baithao (5 dahai mein, 5 ikai mein): 1|5|5 = ₹155.
✔️ Normal tareeke se check: Column: ikai 9 + 6 = 15, 5 likho, 1 carry. Dahai 9 + 5 + 1 = 15. Jawab 155 ✅
Example 4: 197 + 45 = ?
197 ko 200 banane mein 200 − 197 = 3 chahiye (198, 199, 200: teen kadam). 45 se teen kadam peeche: 44, 43, 42. Ab 200 + 42: 4 dahai mein, 2 ikai mein: 2|4|2 = 242.
✔️ Normal tareeke se check: Column: ikai 7 + 5 = 12, 2 likho, 1 carry. Dahai 9 + 4 + 1 = 14, 4 likho, 1 carry. Saikda 1 + 0 + 1 = 2. Jawab 242 ✅
— 📌 charumam.com
🕉️ Vedic Maths Connection
Is trick ke liye Vedic Maths ka koi ek khaas sutra nahi hai. “Pehle 10 banao” ek general mental-maths method hai jo duniya bhar ke teachers sikhaate hain.
Vedic Maths kya hai? Yeh Swami Bharati Krishna Tirthaji ki ek kitaab hai (1965 mein chhapi), jisme 16 chhote niyam hain jinhe sutra kehte hain. Speed Maths section mein jahan humari trick sach mein kisi sutra se milti hai, wahan hum zaroor batayenge. Do misaalein jo aage aayengi:
- Nikhilam sutra (Chapter 3): ek niyam jo 100 ya 1000 jaise round numbers mein se ghataana bahut aasaan bana deta hai.
- Ekadhikena Purvena sutra (Chapter 6), matlab “pichhle se ek zyada”: 25, 35, 45 jaise 5 pe khatam hone wale numbers ka square jaldi nikaalne ka niyam. (Guna karna (× ka nishaan) matlab ek number ko baar-baar jodna: 5 × 5 matlab 5 ko 5 baar jodna, 5 + 5 + 5 + 5 + 5 = 25. Square matlab kisi number ko usi se guna karna, jaise 5 ka square = 5 × 5 = 25.)
— 📌 charumam.com
🧭 Kab Use Karein, Kab Nahi
| Situation | Trick use karein? | Kyun |
|---|---|---|
| Ek number 10 ya 100 ke bilkul paas ho (8, 9, 19, 98, 99, 199) | ✅ Haan | Sirf 1, 2 ya 3 ka udhaar, aur turant round number mil jaata hai. |
| Dukaan ke daam jaise ₹99, ₹199, ₹499 | ✅ Haan | Aise daam round number se bas thode kam hote hain. |
| Dono numbers round se door ho (jaise 43 + 34) | ❌ Nahi | Udhaar bada ho jaata hai. Iske liye Chapter 2 ka tareeka behtar hai: pehle dahai jodo (40 + 30 = 70), phir ikai (3 + 4 = 7), phir milao: 77. |
| Bahut chhote jod (2 + 3) | ❌ Zaroorat nahi | Yeh to seedha yaad hote hain. |
| Lambi list ka jod (bill) | ⚠️ Thoda | Dost jodiyaan (jaise 98 aur 2) dhoondho. Chapter 2.3 mein detail. |
— 📌 charumam.com
❌→✅ Common Mistakes
Galti 1: Wapas lena bhool gaye
Sawaal: 99 + 47
❌ Galat: “99 ko 100 maana, 100 + 47 = 147.”
✅ Sahi: 99 ko 100 banane mein 1 diya tha. Woh 1, 47 se lena tha: 47 − 1 = 46. Ab 100 + 46 = 146.
Galti 2: Ghataane ki jagah jod diya
Sawaal: 98 + 35
❌ Galat: “100 + 37 = 137.” (35 mein 2 jod diye)
✅ Sahi: 2 doosre number se lena hai: 35 − 2 = 33. Ab 100 + 33 = 133.
Galti 3: “Kitna kam” galat gina
Sawaal: 97 + 25
❌ Galat: “97 mein 2 kam hai, to 100 + 23 = 123.”
✅ Sahi: 97 → 98 → 99 → 100, teen kadam, yaani 3 kam. 25 − 3 = 22. Ab 100 + 22 = 122.
🧠 Rule of thumb: Diya = Liya. Jitna ek number ko diya, utna hi doosre se liya.
— 📌 charumam.com
🏃 Speed Drill: 15 Sawaal, Timer Ke Saath
Timer lagao aur in 15 sawaalon ko “Pehle 10 Banao” trick se mann mein karo. Sirf jawab likhna hai. Target: 3 minute se kam.
- 9 + 6 = ?
- 8 + 7 = ?
- 19 + 5 = ?
- 29 + 8 = ?
- 39 + 17 = ?
- 49 + 26 = ?
- 98 + 15 = ?
- 99 + 34 = ?
- 98 + 47 = ?
- 97 + 28 = ?
- 199 + 45 = ?
- 198 + 76 = ?
- 299 + 18 = ?
- 999 + 12 = ?
- 95 + 38 (dhyaan: 95 to 100 se 5 kam hai) = ?
Mera time: ______ · Sahi: ____ / 15
Answers dekho (pehle khud karo!)
- 15
- 15
- 24
- 37
- 56
- 75
- 113
- 133
- 145
- 125
- 244
- 274
- 317
- 1011
- 133
— 📌 charumam.com
⏰ One-Minute Challenge
Sirf 1 minute (60 second). Timer lagao, aur jitne ho sakein utne sawaal mann mein (bina copy ke) karo. Sirf jawab likhna hai.
- 9 + 4 = ?
- 8 + 6 = ?
- 9 + 9 = ?
- 19 + 6 = ?
- 29 + 5 = ?
- 99 + 3 = ?
- 99 + 21 = ?
- 98 + 12 = ?
- 49 + 9 = ?
- 199 + 7 = ?
| Rating | Kitne sahi, kitne time mein |
|---|---|
| 🌱 Beginner | 60 second mein 5 se 7 sahi. Badhiya shuruaat! |
| 🚀 Pro | 60 second mein 8 ya 9 sahi |
| 🏆 Champion | 10 mein 10 sahi, 60 second ke andar |
Answers dekho
- 13
- 14
- 18
- 25
- 34
- 102
- 120
- 110
- 58
- 206
Do sawaal step by step:
- Q6. 99 + 3: 99 ko 100 banane mein 1 chahiye. 3 se ek kadam peeche: 2. Ab 100 + 2: 2 ek digit ka hai, to sirf ikai ke dabbe mein baithta hai, dahai ka 0 waise hi rehta hai: 1|0|2 = 102.
- Q10. 199 + 7: 199 ko 200 banane mein 1 chahiye. 7 se ek kadam peeche: 6. Ab 200 + 6: 6 sirf ikai mein: 2|0|6 = 206.
5 se kam sahi? Koi baat nahi! Trick wala section ek baar aur padho aur kal phir try karo. Har din thoda better, bas yahi chahiye. 💪
— 📌 charumam.com
📝 10 MCQs (Har Option Ka Kaaran)
MCQ matlab ek sawaal ke chaar jawab (options) diye hote hain, unme se ek sahi chunna hai.
Q1. Mental maths ka matlab kya hai?
Jawab aur kaaran dekho
Sahi jawab: (b) Bina copy-pencil ke, dimaag mein hisaab karna
- (a) galat ❌: Copy mein likhna “written” maths hai, mental nahi.
- (b) sahi ✅: Mental maths matlab “mann ka hisaab”, sirf dimaag se.
- (c) galat ❌: Calculator ek machine hai. Mental maths mein machine nahi, dimaag lagta hai.
- (d) galat ❌: Mental maths chhote aur bade, dono numbers ke liye hai.
Q2. 9 + 7 ko trick se karna hai. 9 ko kya banayenge?
Jawab aur kaaran dekho
Sahi jawab: (a) 10
- (a) sahi ✅: 9 sabse paas 10 ke hai, sirf 1 kam. 10 banana aasaan hai.
- (b) galat ❌: 7 to doosra number hai. Hume 9 ko round banana hai.
- (c) galat ❌: 20 bahut door hai, 11 ka udhaar lena padega.
- (d) galat ❌: 0 banana kisi kaam ka nahi, jod aasaan nahi hota.
Q3. 98 ko 100 banane ke liye kitna chahiye?
Jawab aur kaaran dekho
Sahi jawab: (d) 2
- (a) galat ❌: 8 to 98 ka aakhri digit hai, kami nahi.
- (b) galat ❌: 12 se 98 + 12 = 110 ho jaayega, 100 nahi.
- (c) galat ❌: 98 aur jodne se 196 ho jaayega.
- (d) sahi ✅: 100 − 98 = 2. Ungli pe: 99, 100, do kadam.
Q4. 99 + 47 = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 146
- (a) galat ❌: 145 mein 2 ghata diye, jabki sirf 1 lena tha.
- (b) galat ❌: 136 mein 10 kam jud gaye. 100 + 46 = 146 hota hai.
- (c) sahi ✅: 99 → 100 (1 diya), 47 → 46 (1 liya). 100 + 46 = 146.
- (d) galat ❌: 147 tab aata hai jab 1 wapas lena bhool jaate hain.
Q5. Kaunsi jodi “10 ke dost” hai?
Jawab aur kaaran dekho
Sahi jawab: (b) 6 aur 4
- (a) galat ❌: 9 + 9 = 18, 10 nahi. 9 ka dost 1 hai.
- (b) sahi ✅: 6 + 4 = 10. Haan, yeh 10 ke dost hain.
- (c) galat ❌: 6 + 5 = 11, 10 nahi.
- (d) galat ❌: 7 + 2 = 9, 10 nahi. 7 ka dost 3 hai.
Q6. 29 + 14 = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 43
- (a) sahi ✅: 29 → 30, 14 → 13. 30 + 13 = 43.
- (b) galat ❌: 33 mein 10 kam ho gaye. 30 + 13 = 43 hota hai.
- (c) galat ❌: 44 tab aata hai jab 14 se 1 lena bhool jaate hain.
- (d) galat ❌: 313 tab aata hai jab 3 dahai (30) aur 13 ko jodne ki jagah bas saath-saath likh dete hain: 3 aur 13 → 313. Sahi jod 30 + 13 = 43 hai.
Q7. Is trick mein kul jawab (total) kyun nahi badalta?
Jawab aur kaaran dekho
Sahi jawab: (d) Ek number mein jitna jodte hain, doosre se utna hi ghatate hain
- (a) galat ❌: Yeh andaaza nahi, bilkul sahi (exact) jawab hai.
- (b) galat ❌: Round number bahut kaam ke hain, unse jodna aasaan hota hai.
- (c) galat ❌: Total badalta hi nahi, isliye guess ki zaroorat nahi.
- (d) sahi ✅: +1 aur −1 jaise badlaav ek doosre ko cancel kar dete hain. Total wahi rehta hai.
Q8. 197 + 45 = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 242
- (a) galat ❌: 243 tab aata hai jab 3 ki jagah 2 ghatate hain.
- (b) galat ❌: 252 mein 10 zyada jud gaye.
- (c) sahi ✅: 197 → 200 (3 diye), 45 → 42 (3 liye). 200 + 42 = 242.
- (d) galat ❌: 232 mein 10 kam ho gaye.
Q9. Kis sawaal mein yeh trick sabse zyada kaam ki hai?
Jawab aur kaaran dekho
Sahi jawab: (b) 99 + 58
- (a) galat ❌: 51 + 22 mein trick ki zaroorat hi nahi. Pehle dahai: 50 + 20 = 70. Phir ikai: 1 + 2 = 3. Milao: 70 + 3 = 73.
- (b) sahi ✅: 99 bilkul 100 ke paas hai. 100 + 57 = 157, turant.
- (c) galat ❌: 43 aur 34 dono round se door hain. Yahan seedha jodo: pehle dahai 40 + 30 = 70, phir ikai 3 + 4 = 7, milao 77.
- (d) galat ❌: 2 + 3 to seedha yaad hai, trick ki zaroorat nahi.
Q10. Speed maths seekhte waqt sabse pehle kya zaroori hai?
Jawab aur kaaran dekho
Sahi jawab: (a) Sahi jawab, phir speed
- (a) sahi ✅: Pehle sahi (accuracy), phir dheere-dheere tez. Galat jawab tez ho to bhi kaam ka nahi.
- (b) galat ❌: Galat jawab kitna bhi tez ho, marks nahi milte.
- (c) galat ❌: Calculator se mental maths ki practice nahi hoti.
- (d) galat ❌: Bina samjhe ratna jaldi bhool jaate hain. Samajh ke seekhna zaroori hai.
— 📌 charumam.com
🧠 Challenge: HOTS Aur Olympiad Style
HOTS matlab Higher Order Thinking Skills, yaani aise sawaal jinme sirf trick nahi, thoda dimaag bhi lagana padta hai. Olympiad ek maths competition (pratiyogita) hota hai.
Q1. 999 + 999 = ? (Hint: dono ko 1000 maano)
Solution dekho
Dono numbers 1000 se 1-1 kam hain. 1000 + 1000 = 2000. Par humne kul 2 zyada maan liye (1 + 1). To 2000 − 2 = 1998.
Check (column method, jagah-jagah):
- Ikai: 9 + 9 = 18. 8 likho, 1 haath ka (carry) left wali dahai mein.
- Dahai: 9 + 9 + 1 (haath ka) = 19. 9 likho, 1 haath ka saikde mein.
- Saikda: 9 + 9 + 1 (haath ka) = 19. 9 likho, aur aakhri haath ka 1 Hazaar ke dabbe mein chala jaata hai.
Dabbe left se padho: Hazaar 1, Saikda 9, Dahai 9, Ikai 8, yaani 1998 ✅
Q2. 98 + 97 + 96 = ? (Teeno ko 100 maano)
Solution dekho
(Dhyaan: 96 to 100 se 4 kam hai, isliye yeh thoda mushkil sawaal hai.) 100 + 100 + 100 = 300. Kitna zyada maana? 98 mein 2, 97 mein 3, 96 mein 4. Kul 2 + 3 + 4 = 9. To 300 − 9 = 291.
Check: 98 + 97 = 195, phir 195 + 96 = 291 ✅
Q3. Dukaan pe pen ₹19, copy ₹29 aur pencil box ₹49 ka hai. Teeno kharide aur ₹100 ka note diya. Kitne paise wapas milenge?
Solution dekho
Teeno ko round maano: 20 + 30 + 50 = 100. Har ek mein ₹1 zyada maana, kul ₹3 zyada. To asli total 100 − 3 = ₹97. Wapas: 100 − 97 = ₹3.
Check: 19 + 29 = 48, phir 48 + 49 = 97 ✅
Q4. Ek number mein 57 jodne se 156 milta hai. Woh number kya hai? Trick se check bhi karo.
Solution dekho
Number nikaalne ke liye 156 mein se 57 ghatao. Aasaan tareeka: 57 ko todo, 50 aur 7.
- Pehle 50 ghatao, 10-10 peeche gin kar (5 baar): 156 → 146 → 136 → 126 → 116 → 106.
- Phir 7 ghatao, 1-1 peeche gin kar: 105, 104, 103, 102, 101, 100, 99.
Number = 99.
Check trick se: 99 + 57: 99 → 100, 57 → 56. 100 + 56 = 156 ✅
— 📌 charumam.com
🎯 Exam Mein Kahan Kaam Aayega?
| Exam | Kahan kaam aayega |
|---|---|
| School exam (Class 6–8) | Jod-ghatav jaldi ho to word problems (kahani ki tarah likhe sawaal) aur geometry (shapes ka maths) ke liye zyada time bachta hai. Rough mein trick, answer sheet mein normal steps. |
| Maths Olympiad (school bachchon ki maths competition) | Bina calculator, kam time mein bahut sawaal. 999 + 999 jaise sawaal yahan aam hain. |
| NTSE (Class 10 ka national scholarship exam) | Iske MAT hisse (Mental Ability Test, yaani sochne-samajhne ki pariksha) mein hisaab tez hona chahiye. |
| SSC / Bank exam (badon ke sarkari naukri ke exam, aage chal ke) | “Simplification” (lamba hisaab chhota karke jawab nikaalna) wale sawaalon mein har second keemti hota hai. Yahi round-number soch wahan bahut kaam aati hai. |
Shabdon ka matlab: Olympiad = school ke bachchon ki maths pratiyogita (competition). NTSE = Class 10 ke bachchon ka ek national scholarship (vazifa) exam. MAT = Mental Ability Test, yaani sochne-samajhne ki pariksha (NTSE ka ek hissa). SSC / Bank exam = badon ke sarkari naukri ke exam. Simplification = lambe hisaab ko chhota karke jawab nikaalna. Class 6–8 = school ki chhathi se aathvi kaksha.
— 📌 charumam.com
👩🏫 Charu Mam Ka Tip
Bachcho, roz sirf 5 minute kaafi hain! Jab bhi mummy-papa ke saath dukaan jaao, bill ka total pehle mann mein lagao, phir bill se milaao. Jahan ₹99, ₹199 wale daam dikhein, wahan “Pehle 100 Banao” lagao. Maths copy se nikal kar zindagi mein aa jaayega. 😊
Aur haan: galti hona bilkul theek hai. Har galti batati hai ki kaunsa step dobara dekhna hai.
— 📌 charumam.com
⏱ After Timer: Ab Trick Se!
Wahi sawaal jo shuru mein kiya tha. Stopwatch phir chalu kijiye, aur is baar aaj ki trick se kijiye:
Trick se kaise karein (dekho)
98 ko 100 banane ke liye 2 chahiye. Woh 2, 67 se le lo: 67 − 2 = 65. Ab 100 + 65 = 165. Bas! ✅
| Before time | After time | Kitna tez? |
|---|---|---|
| ____ second | ____ second | Before − After = ____ second bache! |
Pehli baar mein time zyada bhi lag sakta hai, ghabraiye nahi! Nayi trick ko 3 se 4 din ki practice chahiye. Phir yeh purane tareeke se kaafi tez ho jaati hai. 🚀
— 📌 charumam.com
🤖 Aur Practice: AI Tutor Se Poochho
Neeche wali line copy kijiye aur CharuMam AI Tutor (tutor.charumam.com) mein paste kar dijiye. Tutor aapko naye sawaal dega aur galti hone pe samjhayega:
— 📌 charumam.com
❓ FAQs (Bachchon Ke Asli Sawaal)
1. Kya speed maths sirf toppers ke liye hai?
Bilkul nahi! Yeh tricks un bachchon ke liye sabse zyada kaam ki hain jinhe maths mushkil lagta hai, kyunki tricks bade sawaal ko chhote, aasaan steps mein tod deti hain.
2. Kya school exam mein trick use kar sakte hain?
Haan, rough work mein zaroor. Par answer sheet mein teacher jo steps maangein, woh likhiye. Trick se jawab jaldi milega aur normal steps se aap use check bhi kar loge.
3. Agar dono numbers round ke paas hon, jaise 98 + 99, to kise round karein?
Jo zyada paas ho. 99 sirf 1 door hai, to 99 → 100 aur 98 → 97. Jawab 100 + 97 = 197.
4. Calculator hai to mental maths kyun seekhein?
Exam mein calculator allowed nahi hota. Aur dimaag tez hota hai, jaise roz khelne se body strong hoti hai. Saath hi, calculator galat button dabane pe bhi galat jawab de deta hai. Mental maths se aap turant pakad loge ki jawab sahi lag raha hai ya nahi.
5. Kya yeh trick ghatane (subtraction) mein bhi chalti hai?
Haan! Jaise 83 − 19: pehle 20 ghatao, 10-10 peeche gin kar: 83 → 73 → 63. Ek zyada ghata diya, to 1 wapas jodo: 63 + 1 = 64. Isse Chapter 3 mein detail mein seekhenge.
6. Kitne din mein speed aayegi?
Roz 5 se 10 minute practice karo to 1 se 2 hafte mein farak saaf dikhega. Post 1.3 mein hum practice ka poora plan banayenge.
— 📌 charumam.com
🟢 Recap: Aaj Kya Seekha
- Speed Maths = hisaab ko tez aur sahi karne ki tricks. Mental maths = bina copy-pencil, dimaag mein hisaab.
- Round numbers (10, 100, 200) ke saath jodna sabse aasaan hota hai.
- Pehle 10 Banao: round ke paas wala number dhoondho → kitna kam hai gino → utna doosre se lo → jodo.
- Total kyun nahi badalta: jitna ek ko diya, utna doosre se liya (+1 aur −1 cancel).
- Rule of thumb: Diya = Liya.
- Pehle sahi, phir tez. Roz 5 minute ki practice.
— charumam.com 🎯
👉 Aage Kya?
Agle post mein hum numbers ke andar jhaankenge: digit, place value (jagah ki keemat) aur bade numbers ko chhote tukdon mein todna. Yahi har speed trick ki neev (foundation) hai.
Koi doubt? CharuMam AI Tutor se poochho, ya comment mein likho! 💬
💛 Post Achha Laga? Like, Share, Subscribe, Follow!
Agar aaj kuch naya samajh aaya, to post ko like kijiye, apne doston aur class ke group mein share kijiye, aur roz nayi trick ke liye humein subscribe aur follow kijiye! 🙏
- 🌐 Website: charumam.com
- 🤖 AI Tutor (doubt poochho, 24×7): tutor.charumam.com
- ▶️ YouTube (subscribe): @charumamofficial
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— 📌 charumam.com
