GKv WwgK wm jevm wkÿvel wlªt köwy-9g welq- evsjv 1g cî cvv cȳ Í Ki bvg: 01 gva wgk evsjv mvwnz : beg-`kg köwy (RvZxq wkÿvµg I cvv cȳ ÍK evw,

Transcription

1 GKv WwgK wm jevm wkÿvel wlªt köwy-9g welq- evsjv 1g cî cvv cȳ Í Ki bvg: 01 gva wgk evsjv mvwnz : beg-`kg köwy (RvZxq wkÿvµg I cvv cȳ ÍK evw, XvKv) 02 gva wgk evsjv mn cvv: beg-`kg köwy (RvZxq wkÿvµg I cvv cȳ ÍK evw, XvKv) 1g gvwmk cixÿvi wm jevm : M` : 1 eb cov 2 myfv, c` : 1 Rxeb m½xz, 2 SY vi Mvb Aa -evwl K cixÿvi wm jevm : M` : 1 myfv 2 ebcov 3 AfvMxi ^M 4 cwjø mvwnz 5 Avg AvuwUi fucy 6 gvbyl gynv ` (m.) c` : 1 e½evyx 2 K cvzvÿ b` 3 Rxeb m½xz, 4 RyZv Avwe vi 5 SY vi Mvb 6 gvbyl mncvv: Dcb vm: KvKZvo qv Dcb v mi Ôf~wgKvÕ As ki (K) Dcb v mi aviyv I msáv (L) Dcb v mi Avw½K I MVb KŠkj (M) evsjv Dcb v mi mswÿß cwiwpwz (N) evsjv ` ki Dcb v mi mswÿß cwiwpwz (O) KvKZvo qv Dcb vm I jlk cwiwpwz: mwjbv nv mb Dcb vm: KvKZvo qv cö_g _ K kl ch ší 2q gvwmk cixÿvi wm jevm : M` : 1 wbgmvq, 2 cöevm eüz c` : 1 cwjø Rbbx 4 Avkv evwl K cixÿvi wm jevm : M` : 1 wbg MvQ 2 D cwÿz kw³i D Øvab 3 wkÿv I gbyl Z 4 cöevm eüz 5 ggzvw` 6 cqjv ˆekvL c` : 01 mb w`b GB gvv 2 cwjø Rbbx 3 ivbvi 4 Avkv 5 Avwg Kvb AvMšy K bb 6 Zvgv K cviqvi R b, n ^vaxbzv 5

2 mncvv: bvuk - ewncxi f~wgkv: As ki (K) bvu Ki aviyv I msáv (L) bvu Ki Avw½K I MVb KŠkj (M) evsjv bvu Ki mswÿß cwiwpwz (N) evsjv ` ki bvu Ki mswÿß cwiwpwz (O) ewncxi bvuk I bvu Kvi cwiwpwz: ˆmq` Iqvjx Djøvn (P) bvu Ki PwiÎ cwiwpwz: ewncxi (Q) bvuk: ÔewncxiÕ cö_g _ K kl ch ší cö kœi aviv I gvbeèb : gvwmk cixÿvi gvbeèb (mkj gvwmk) : `ybwu m Rbkxj cökœ _vk e DfqwUi DËi w` Z n e 10 2 = 20 b ^i Aa -evwl K I evwl K cixÿvi cö kœi aviv I gvbeèb : m Rbkxj cö kœi Rb 70 b ^i Ges eû wbe vpbx cö kœi Rb 30 b ^i eivï Av Q cöwzwu m Rbkxj cö kœi b ^i 10 Ges cöwzwu eûwbe vpbx cö kœi b ^i 01 b ^i m Rbkxj cökœ: 11wU (M` _ K 4wU, c` _ K 3wU Ges mncvv _ K 4wU) cökœ _vk e M` _ K 2wU, c` _ K 2wU, mncvv _ K 2wU mn gvu 7wU cö kœi DËi w` Z n e 10 7 = 70 b ^i eûwbe vpbx cökœ: 30wU (M` _ K 12wU c` _ K 12wU, mncvv _ K 06wU) me KqwU cö kœi DËi w` Z n e 30 1 = 30 b ^i me gvu b ^i = 100 b ^i welq- evsjv 2q cî cvv cȳ Í Ki bvg: 01 be w³k Afxÿvi cvv- evsjv fvlvi e vkiy (9g I 10g köwy) 02 m Rbkxj cixÿvi cvv- ipbv m vi (9g- 10g köwy) (RvZxq wkÿvµg I cvv cȳ ÍK evw, XvKv ) 6

3 1g gvwmk cixÿvi wm jevm : fvem úªmviy: c` vsk- 2 I 3bs, Aby Q`: eb gjv, B Uvi bu, evsjv beel Aa -evwl K cixÿvi wm jevm e vkiy Ask cö_g Aa vq: 1g cwi Q`-fvlv, 2q cwi Q`- evsjv e vkiy I Gi Av jvp welq wøzxq Aavq: 1g cwi Q`-aŸwbZË 2q cwi Q`- aÿwbi cwiez b 3q Aa vq: 1g cwi Q`- cyiæl I xevpk kã 2q cwi Q`-wØiæ³ kã 3q cwi Q`-msL vevpk kã 4_ cwi Q`- epb 4_ Aa vq 1g cwi Q`-c` cökiy 2q cwi Q`- wµqvc` 3q cwi Q`- Kvj, cyiæl Ges Kv ji wewkó cö qvm 5g Aa vq: 1g cwi Q`- evk cökiy evk ms KvPb: (AKvj c n q Q hvi- cv _ K gv_v ch ší) 2q cwi Q`Ñ k ãi hvm Zvi wekvk I evmaviv (AKvj Kz vû- KvbLvov Kiv ch ší) ipbv m vi Ask : Aby Q` : (1) e ÿ ivcb Awfhvb (2) wmªbnvdr cöwzwµqv (3) bvixwkÿv 4) `yb xwz 5) weávb gjv (6) msev`cî cvv (7) eb gjv (8) B Uvi bu (9) evsjv beel (10) wbqgvbyewz Zv e w³mz cî : 3bs- mok `yn Ubvq AvnZ eüz K mg e`bv Rvwb q wpwv 4bs- eüzi evevi g Zz Z mg e`bv Rvwb q eüz K wpwv 5bs- HwZnvwmK vb åg Yi AwfÁZv Rvwb q eüz K wpwv 6bs- Gm.Gm.wm cixÿvi ci Aemi w`k jv wkfv e KvUv e Zv Rvwb q eüzi Kv Q cî 7

4 Av e`bcî: 1bs- cöksmv cî P q cöavb wkÿ Ki wbku `ilv Í 2bs- `wi`ª Znwej/QvÎ Kj vy Znwej n Z mvnvh P q cöavb wkÿ Ki wbku `ilv Í 3bs- z ji wfz i K vw Ub vc bi e e v Kivi Rb cöavb wkÿk mgx c Av e`b 5bs- wkÿv md i hviqvi AbygwZ cöv_ bv K i we` vj qi cöavb wkÿ Ki Kv Q Av e`b msev`c Î cökv ki Rb wpwvi bgybv: 1bs we`ÿ r weåv Ui Avï cöwzkvi P q msev`c Î cökv ki Rb cî 2bs eb vz `i mvnv h i Rb Av e`b Rvwb q msev` c Î cökv ki Rb cî mvivsk: 16 bs AvR Ki `ywbqvuv... m `n _v K bv 17 bs gvby li Rxeb K...Av ^v`b Kiv hvq 18 bs AZxZ K fz j... Rxeb wb q evupv Z 19 bs RvwZ K kw³kvjx... kw³ R M I V 20 bs gvby li g~j Kv_vq?... `ikvi bb 21 bs Af vm fqvbk wrwbm... me cû n e 23 bs fwel Zi fvebv... f e `Lv DwPZ 24 bs evj Kvj n ZB... wbq g ej jvf K i mvigg : 1bs Kv_vq ^M, Kv_vq bik... 2bs ZiæZ j e m cvš kvwší K i `~i,... 3bs K Zzwg LyuwR Q... 4bs wec ` gv i iÿv K iv,... 5bs Avwm Z Q ïfw`b... 6bs c ii gy L klv eywj... 7bs c ii Kvi Y ^v_ w`qv ewj... 8bs ˆ`b hw` Av m AvmyK,... 9bs mev i evm i fv jv... 8

5 fve m úªmviy: c` vsk : 2bs bvbvb ` ki bvbvb fvlv... 3bs ˆkevj w`wn i e j D P Kwi wki... 4bs Av jv e j, AÜKvi ZzB eo Kv jv... 6bs c ii Awbó wpšív K i... M` vsk : 11 bs cwikög mšfv M i cöm~wz 12 bs PwiÎ gvby li Ag~j m ú` 13 bs wkÿvb RvwZi giæ`û 14 bs bvg gvbyl K eo K i bv bs `yb xwz RvZxq Rxe bi mkj DbœwZi AšÍivq cöwz e`b cöyqb : 1 GKz k deªæqvwi D`hvcb Dcj ÿ zj KZ K Av qvwrz Abyôvbgvjv m ú K GKwU cöwz e`b cªyqb Ki 2 cwi ekmz fvimvg iÿvi Rb PvB e ÿ ivcb G wk ivbv g GKwU cöwz e`b cöyqy Ki 3 `yb xwz RvZxq DbœwZi GKwU cöavb AšÍivq G cwi cöwÿ Z AZxZ Ges ez gvb Ae vi cöÿvcu D jøl c~e K GKwU cöwz e`b ˆZwi Ki 4 hšzzk GKwU mvgvwrk e vwa G e vwa _ K cwiîvy I cöwz iv ai Dci GKwU cöwz e`b ˆZwi Ki 5 we`ÿ r weåvu I we`ÿ r weåv Ui ez gvb cwiw wz I Avï cöwzkvi D jøl c~e K GKwU cöwz e`b ˆZwi Ki 6 XvKv kn ii ez gvb hvbru mgm vi Dci GKwU cöwz e`b ˆZwi Ki cöeü ipbv : (1) msev` cî (2) kö gi gh v`v (3) `k MV b mgv Ri f~wgkv (4) RvwZ MV b bvix mgv Ri f~wgkv (5) e wëg~jk wkÿv (6) GKz k deªæqvwi ev AvšÍR vwzk gvz fvlv w`em (7) K wl Kv R weávb (8) e ÿ ivcb Awfhvb (9) Kw úduvi weáv bi we q (10) wek wµ K U evsjv `k 9

6 2q gvwmk cixÿvi wm jevm : fvem úªmviy: M` - 17, 18, 20, 24bs Av e`bcî : 6bs, 7bs, e vkiy: 3q Aa vq me evwl K cixÿvi wm jevm : e vkiy Ask: 2q Aa vq- 3q cwi Q`-Y-Z I l-z weavb 4_ cwi Q`-mwÜ 3q Aa vq- 5g cwi Q`- c`vwköz wb ` kk, 6ô cwi Q`- mgvm, 7g cwi Q`- DcmM, 8g cwi Q`- avzz 4_ Aa vq- 4_ cwi Q`-mgvwcKv, AmgvwcKv I hšwmk wµqvi cö qvm, 5g cwi Q`- evsjv AbyÁv, 6ô cwi Q`- wµqv wefw³: mvay I PwjZ, 7g cwi Q`- KviK I wefw³ Ges m ^Ü c` I m ^vab c` 5g Aa vq- 1g cwi Q`- evk ms KvPb Òdj cvk j h MvQ g i hvqó _ K kl ch ší 2qcwi Q`- k ãi hvm Zvi wekvk I evmaviv Ô KuvPv cqmvõ _ K kl chší weipb Ask: Aby Q` 1 cvwb `~ly 2 KzwUi wkí 3 AwZw_ cvwl 4 hvbru 5 kx Zi mkvj 6 werq w`em 7 el YgyLi mbw`b 8 cwi ek `~ly 9 Kw úduvi 10 we` vj qi kl w`b e w³mz cî : 7bs gva wgk cixÿvq DËxY niqvi ci fwel r Rxe bi jÿ Rvwb q eüzi Kv Q cî 9bs m úªwz cov GKwU eb m ú K gzvgz Rvwb q eüzi Kv Q cî wjl 10bs we` vj q kl w` bi gvbwmk Ae v Rvwb q eüzi Kv Q cî wjl Av e`b cî : 6bs Av m wbkgy³ cvwb mieiv ni Rb cšimfvi Pqvig v bi Kv Q Av e`b 7bs grvcykzi ms v ii Rb Av e`b Rvwb q BDwbqb cwil `i Pqvig v bi Kv Q Av e`b 10

7 msev`c Î cökv ki Rb wpwvi bgybv: 4bs e ÿ ivcb mßvn cvj bi cö qvrbxqzv D jøl K i msev`c Î cökv ki Rb cî 6bs mok `yn Ubv ivak í AwfgZ Rvwb q cwîkvq cökv ki Rb cî mvivsk : 25bs wk m nq gh v`v?... Avwg Zvgvq AeÁvq eje hvi 26bs ez gvb mf Zvq `wl,... hv wkqz cšqvq Zv hrwkwâr 27 bs kªg K kö vi m ½... gvby li m ½ e env i gvbyl wb R K c~y K i 29 bs RvwZ ïay evb ii Hk h m vi,... Avi Zv Qwo q `evi `vwqz jlk Avi mvwnwz K `i mvigg : 15 bs `wû Zi mv _... gnv Acivax n e Zzwg Zvi Kv Q 11 bs emygzx, Kb Zzwg... Zvgvi MŠie Zv n G Kev ib Qv o 13 bs mv_ K Rbg Avgvi... bqb g j gyw`b bqb k l 14 bs ndk m gnvávbx... AZxe N wyz mb cvlð ee i 10 bs ab Avkv, KznwKbx... Zzwg Ae vpxb b i fvem úªmviy : c` vsk 8bs MÖš MZ we` v Avi cin Í ab... n j cö qvrb 9bs ^ ` ki DcKv i... cï mb Rb 7bs hvnv PvB Zvnv... Zvnv PvB bv M` vsk 17bs KxwZ gv bi g Zÿ bb 18bs ^vaxbzv AR bi P q ^vaxbzv iÿv Kiv KwVb 19bs `yr b weøvb nb ji cwiz vr 20bs e b iv e b my `i wkïiv gvz µv o 22bs AvZ kw³ AR bb wkÿvi D Ïk 23bs fv M bq, Z v MB cök Z myl 24bs `yt Li g Zv GZ eo cik cv_i Avi bb cöwz e`b cöyqb: 11

8 1 Zvgvi we` vj qi evwl K µxov Abyôv bi Dci GKwU cöwz e`b ˆZix Ki 2 `ªe g~ j i EaŸ MwZ Z RbRxeb wecbœ GB wk ivbv g cwîkvq cökv ki Rb GKwU cöwz e`b ˆZwi Ki 3 Zvgvi we` vj q AbywôZe weávb gjvi Dci GKwU cöwz e`b cöyqb Ki 4 mš vmgy³ wkÿv½b PvB, G cwi cöwÿ Z ez gvb cöÿvcu D jøl c~e K GKwU cöwz e`b ˆZwi Ki 5 mok `yn Ubvi fqven cwiw wzi Dci GKwU cöwz e`b ˆZwi Ki cöeü ipbv: (1) evsjv ` ki gyw³hy (2) gvbe Kj v Y weávb (3) el vq evsjv `k (4) Aa emvq (5) evsjv ` ki cövk wzk `y h vm I cöwzkvi (6) ^ `k cög (7) wwwruvj evsjv `k (8) cwi ek `~ly I Zvi cöwzkvi cö kœi aviv I gvbeèb gvwmk cixÿvi gvbeèb ipbvg~jk 2wU 10 2=20 b ^i evwl K I Aa -evwl K cixÿvi gvbe Ub: ipbvg~jk cökœ: 70 b ^i Aby Q` ipbv (2wU cökœ _ K 1wUi DËi w` Z n e) 10 cî/`ilv Í/gvbcÎ/cwÎKvq cökv ki Rb wpwv (2wU _ K 1wU) 10 mvivsk ev mvigg (2wU cökœ _ K 1wU): 10 fvem úªmviy (2wU cökœ _ K 1wU) 10 cöwz e`b cöyqb (2wU cökœ _ K 1wU): 10 cöeü ipbv (3wU _ K 1wU) 20 be w³k cökœ: (e vkiy Ges wbwg Z As ki evmaviv, evk ms KvPb I cöev`cöepb _ K 30wU cökœ _vk e cöwzwu cö kœi gvb-1) 30 1=30 me gvu b ^i: (70+30=100) b ^i 12

9 Subject: English 1 st Paper Class-Nine Prescribed Books: 1. English for Today- by NCTB 2. English Grammar and Composition By NCTB 1 st Monthly Test: 20 *Paragraph- (A) good Citizen (B) International Mother Language Day (C) May day * Dialogue- (a) On eradicating illiteracy (b) On reading newspaper. (c) On opening bank account * - (a) To friend inviting him to elder sister s marriage ceremony. (b) To friend returning a borrowed book. (c) To a friend congratulating on brilliant success. *Graph/Chart- (a) On the number of land telephone and mobile users. (b) On the number of people living below the poverty line. (c) On literacy rate. Half Yearly Examination. Unit (01-05) (Good Citizen - Climate Change) (Model Question-01-25) Paragraph : 13

10 (A) good Citizen (B) International Mother Language Day (C) May day (D) Life of a farmer (E) Environment Pollution (F) Life of a day labourer. Story Writing: (a) A Thirsty Crow (b) Two Friends and a bear. (c) The boys and the frogs. (d) A liar cow boy. (e) An honest wood cutter. (f) A lion and a mouse. Writing: (a) To friend inviting him to elder sister s marriage ceremony. (b) To friend returning a borrowed book. (c) To a friend congratulating on brilliant success. (d) To younger brother advising him to be attentive to study. (e) To father informing how you have done well in the examination. (f) To friend thanking for hospitality. Letters (Informal): (a) To your-friend describing the annual prize giving ceremony of your school. (b) To your friend telling him/her about how to improve English. (c) To your father asking for money. (d) To your friend describing the bad effects of smoking. Graph/Chart describing: (a) On the number of land telephone and mobile users. (b) On the number of people living below the poverty line. (c) On literacy rate. 14

11 (d) On population growth rate. Dialogue Writing: (a) On eradicating illiteracy (b) On reading newspaper. (c) On opening bank account (d) On importance of physical exercise. (e) On proper use of time. (f) On early rising. 2 nd Monthly Test-20 * Paragraph- (a) A winter morning (b) A rainy day.(c) Global warming *Dialogue- (a) On preparation for annual examination. (b) On a patient and a doctor (c) On the necessity of tree plantation. * Story writing- (a) King Lear and his daughters. (b) The hare and the tortoise. (c) The greatness of Hatem Tai. * - (a) To brother how to improve English. (b) To friend about your future plan of life. (c) To cousin living in U.S.A thanking for wishing a happy birthday. Annual Examination: Unit (06-11) (Our neighbours-renewable energy) (Model Question : 26-50) 15

12 Paragraph: (a) A winter morning (b) A rainy day.(c) Global warming (d) Independence day (e) Load shedding (f) Deforestation. Story writing: (a) King Lear and his daughters. (b) The hare and the tortoise. (c) The greatness of Hatem Tai. (d) The story of a dove and an ant. (e) Sheikh Saadi and the rich man. (f) Who is to bell the cat? (g) A garment factory on fire. Writing (a) To brother how to improve English. (b) To friend about your future plan of life. (c) To cousin living in U.S.A thanking for wishing a happy birthday. (d) To friend inviting to join a picnic. (e) To friend thanking for a birthday gift Or Informal Letter: (a) To your friend describing the importance of physical exercise. (b) To your friend condoling the death of his father/mother. (c) To your friend about your aim in life. (d) To your friend about a street accident you have witnessed. (e) About experience of particular place you have visited recently. Dialogue writing: (a) On preparation for annual examination. 16

13 (b) On a patient and a doctor (c) On the necessity of tree plantation. (d) On use and abuse of mobile phone. (e) On buying a pair of shoes. (f) On the importance of learning English. Graph/Chart describing. (a) On result scoring in the examination. (b) On Rony s time spending on different activities. (c) On month wise attendance of a student. (d) On girls education. (e) On the internet users. Marks Distribution- Marks Distribution 1 st monthly test: -20 a.paragraph or dialogue -10 b. or graph/chart-10 Marks Distribution 2 nd monthly test: -20 a.paragraph or dialogue -10 b. or Story writing-10 Marks Distribution Half Yearly & Annual Exam.: 100 Reading-50 Seen Passage 1. Multiple Choice Questions (MCQ) Answering Questions (Open ended Questions) Seen Passage Gap Filling Without Clues. 05 Unseen Passage 17

14 4. Information Transfer Summarizing Matching (Unseen) Re-arranging (Unseen) 08 Writing: Writing Paragraph Answering questions Completing story Writing informal Letter/ Describing graphs/charts Writing dialogue. 10 Total=100 Subject- English 2 nd Paper Marks and Test items distribution Grammar test items: (60 marks) Part-A 1. Gap filling activities with clues =05 [Preposition, articles and parts of speech] 2. Gap filling activities without clues =05 [Preposition, articles and parts of speech.] 3. Substitution Table 1 5=05 4. Right form of verbs =05 5. Narrative style 05 (Direct to indirect and vice-versa) 6. Changing sentence (Change of voice, sentence patterns, degree) 1 10=10 7. Completing sentence. 1 5=05 (Using conditionals, infinitive, gerund, participle etc). 18

15 8. Completing text using suffix and prefix =05 9. Tag Questions 1 5=5 10. Sentence Connectors 1 5= Punctuation and Capitalization 05 Composition Test items (40 Marks) Part-B 12. Writing C.V with cover letter Formal Letter (Complain letter, notice, purchase order, responses to an order/request etc) Paragraph writing by listening/narrating/comparison and contrast/cause and effect in 150 words Writing composition personal experience and familiar topics, recent events/incidents, future plan in 250 words st Monthly Test (20 Marks) Grammar: 1. Right form of verb, 2. Narration (Detached) 5 2=10 Formal Letter: a,b Paragraph: a,b,c Any one will be set. 10 1=10 Half Yearly Examination Grammar items: Gap filling activities with clues =05 [Preposition, articles and parts of speech] 2. Gap filling activities without clues =05 [Preposition, articles and parts of speech] 3. Substitution Table 1 5=05 4. Right form of verbs =05 [Verbs, mostly related to tense and sequence of tense] 19

16 5. Narrative style 05 [Direct to indirect with simple sentence] 6. Changing sentences (making negative, interrogative, exclamatory, degree) 1 10=10 7. Completing sentences 1 5=05 [Using conditional, infinitive, relative pronoun] 8. Completing text using suffixes, Prefixes or both =05 9. Tag questions 1 5= Sentence Connectors 1 5= Punctuation and Capitalization 05 Composition item C.V. Writing for (a) The post of an office Assistant. (b) The post of a Salesman (c) The post of a receptionist (d) The post of a librarian 13. Formal letters; A letter to Headmaster/UNO/D.C/Chairman (a) For increasing library facilities. (b) For increasing common room facilities. (c) For setting up a canteen (d) For opening a debating club (e) For setting up a computer club. 14. Paragraph: Paragraph writing/answering questions from given model. (a)tree plantation (b) Traffic jam (c) Our National Flag (d) Mobile Phone (e) Load Shedding. 15. Composition: (a) Importance of Reading Newspaper. (b) Natural calamities in Bangladesh. (c) Physical Exercise. 20

17 (d) Your aim in life. (e) Duties of a student. (Out lines or clues will be given by the question setter) 2 nd Monthly Test (20 Marks) Grammar: 1. Completing sentence, 2. Tag questions 5 2=10 Formal letter- a, b, c Paragraph- c, d, e any one will be set. 10 1=10 Annual /Final Examination Grammar items: 60 marks. 1. Gap filling activities with clues =05 [Preposition, articles and parts of speech] 2. Gap filling activities without clues =05 [Preposition, Articles and parts of speech] 3. Substitution Table 1 5=05 4. Right form of verbs =05 5. Narrative style 05 [Direct to indirect or vice-versa] 6. Changing sentences (all rules) 1 10=10 7. Completing sentences 1 5=05 8. Completing text using suffix, Prefix or both =05 9. Tag questions 1 5= Sentence Connectors 1 5= Punctuation and Capitalization 05 Composition items: C.V. writing for (a) The post of an Assistant teacher. (b) The post of a computer operator. (c) The post of a medical representative. (d) The post of a marketing manager. 21

18 13. Formal letter: A letter to Headmaster/UNO/DC/Chairman- (a) For relief goods for flood affected people (b) For Transfer Certificate (c) For permission to go on a study tour. (d) For seat in the school hostel (e) For a short leave after the second period. 14. Paragraph: (a) A book fair (b) A winter morning (c) A school magazine (d) A school library. (e) A street accident 15. Composition: (a) Wonders of modern science. (b) Digital Bangladesh (c) The season you like most (d) Unemployment Problem in Bangladesh. (e) Child labour. Book Recommended 1. English Grammar and composition prescribed by the national curriculum text book board 2. Advanced learners communicative English grammar and composition by Chowdhury and Hossain. welq t- MwYZ wbe vwpz cȳ Í Ki bvg t MwYZ : beg-`kg köwy (NCTB KZ K cökvwkz) wøzxq Aa vq : mu I dvskb cö_g gvwmk cixÿvi wm jevm : 22

19 mßg Aa vq : e envwik R vwgwz Aa -evwl K cixÿvi wm jevm : cö_g Aa vq: ev Íe msl v wøzxq Aa vq: mu I dvskb Z Zxq Aa vq: exrmvwywzk ivwk lô Aa vq: ilv, KvY I wîfzr mßg Aa vq: e envwik R vwgwz beg Aa vq : wî KvYwgwZK AbycvZ, Abykxjbx- 9.1 Ges mswkøó D`vniYmg~n lô`k Aa vq: cwiwgwz, Abykxjbx Ges mswkøó D`vniY mg~n mß`k Aa vq: cwimsl vb wøzxq gvwmk cixÿvi wm jevm : PZz_ Aa vq: m~pk I jmvwi`g beg Aa vq: Abykxjbx Ges mswkøó D`vniY mg~n evwl K cixÿvi wm jevm : PZz_ Aa vq: m~pk I jmvwi`g câg Aa vq: GK PjK wewkó mgxkiy Aóg Aa vq: e Ë beg Aa vq: wî KvYwgwZK AbycvZ, Abykxjbx Ges mswkøó D`vniY mg~n GKv`k Aa vq: exrmvwywzk AbycvZ I mgvbycvz lô`k Aa vq: cwiwgwz, Abykxjbx Ges mswkøó D`vniY mg~n mß`k Aa vq: cwimsl vb cö kœi aviv I gvbeèb: gvwmk cixÿvi gvbeèb : `ybwu m Rbkxj cökœ _vk e DfqwUi DËi w` Z n e 10 2 = 20 b ^i Aa -evwl K I evwl K cixÿvi gvbeèb: m Rbkxj cö kœi Rb 70 b ^i Ges eûwbe vpbx cö kœi Rb 30b ^i eivï Av Q 23

20 cöwzwu m Rbkxj cö kœi b ^i 10 Ges cöwzwu eûwbe vpbx cö kœi b ^i 01 m Rbkxj cökœ : 10 7 = 70 b ^i 11wU (exrmwyz Ask _ K 3 wu, R vwgwz Ask _ K 3 wu, wî KvYwgwZ I cwiwgwz Ask _ K 3 wu Ges cwimsl vb Ask _ K 2 wu) cökœ _vk e exrmwyz Ask _ K 2 wu, R vwgwz Ask _ K 2 wu, wî KvYwgwZ I cwiwgwz Ask _ K 2 wu Ges cwimsl vb Ask _ K 1 wu mn gvu 7 wu cö kœi DËi w` Z n e eûwbe vpbx cökœ: 1 30 = 30 b ^i mkj Aa vq _ K AvbycvwZK nv i 30wU eûwbe vpbx cökœ _vk e Ges mekqwu cö kœi DËi w` Z n e me gvu : = 100 b ^i welq t- Bmjvg I ˆbwZK wkÿv wbe vwpz cȳ Í Ki bvg t Bmjvg I ˆbwZK wkÿv : beg-`kg köwy (NCTB KZ K cökvwkz) cö_g gvwmk cixÿvi wm jevm : 1g Aa vq t AvKvB` I ˆbwZK Rxeb cvv- 1 Bmjvg, cvv- 2 Cgvb, cvv- 3, gvbwek g~j eva wekv k Cgv bi iæz, cvv- 4 ZvInx`, cvv- 5 Avjøvn ZvÕqvjvi cwipq, cvv- 6 Kzdi 2q Aa vq t kixq Zi Drm cvv- 1 kwiqz, cvv- 2 kwiq Zi 1g Drm: Avj-KziAvb, cvv- 3 Avj KziAvb msiÿy I mskjb, cvv- 4 gvw I gv`vwb m~iv, cvv- 5 wzjviqvz: iæz I gvnvz, cvv- 6 m~iv Avk&-kvgm, cvv- 7 m~iv Av`&-`ynv 1g Aa vq t AvKvB` I ˆbwZK Rxeb Aa -evwl K cixÿvi wm jevm : 24

21 cvv- 1 Bmjvg, cvv- 2 Cgvb, cvv- 3, gvbwek g~j eva wekv k Cgv bi iæz, cvv- 4 ZvInx`, cvv- 5 Avjøvn ZvÕqvjvi cwipq, cvv- 6 Kzdi 2q Aa vq t kixq Zi Drm cvv- 1 kwiqz, cvv- 2 kwiq Zi 1g Drm: Avj-KziAvb, cvv- 3 Avj KziAvb msiÿy I mskjb, cvv- 4 gvw I gv`vwb m~iv, cvv- 5 wzjviqvz: iæz I gvnvz, cvv- 6 m~iv Avk&-kvgm, cvv- 7 m~iv Av`&-`ynv 3q Aa vq t Bev`Z cvv- 1 Bev`vZ, cvv- 2 mvjvz, cvv- 3 mvig, cvv- 4 hvkvz, cvv- 5 n¾ 4_ Aa vq t AvLjvK cvv- 1 AvLjv K nvwg`vn&, cvv- 2 ZvKIqv, cvv- 3 Iqv`v cvjb, cvv- 4 mz evw`zv, cvv- 5 kvjxbzv, cvv- 6 AvgvbZ, cvv-7 gvbe mev, cvv- 8 åvz Z eva I mv úª`vwqk m úªxwz, cvv- 9 bvixi cöwz m vb eva 5g Aa vq t Av`k Rxeb PwiZ cvv-1 gnvbex nhiz gynv ` (m:) Gi mgkvjxb mvgvwrk I mvs wzk Ae v, cvv- 2 gnvbex nhiz gynv ` (m.) Gi Rb ˆkke I ˆK kvi, cvv- 3 nhiz gynv ` (m.) Gi hšeb Kvj, beyiq Z cövwß I Bmjvg cöpvi, cvv- 4 nhiz gynv ` (m:) Gi gv`vwb Rxeb cvv- 5 nhiz gynv ` (m:) Gi g v werq I we`vq n¾ cvv- 6 Lyjvdv q iv kw` bi Rxebv`k cvv- 7 nhiz Igi (iv.) 2q gvwmk cixÿvi wm jevm : 1g Aa vq t AvKvB` I ˆbwZK Rxeb cvv- 7 wkik, cvv- 8 wbdvk, cvv- 9 wimvjvz, cvv- 10 ˆbwZK g~j eva wekv k wimvjvz I beyq Z, cvv- 11 Avmgvwb wkzve 2q Aa vq t kixq Zi Drm cvv- 8 m~iv Avj&-Bbwkivn&, cvv- 9 m~iv AvZ&-Zxb, cvv -10 m~iv AvjgvDb, cvv- 11 kixq Zi 2q Drm: mybœvn&, cvv- (12-21) nvw`m evwl K cixÿvi wm jevm : 25

22 1g Aa vq t AvKvB` I ˆbwZK Rxeb cvv- 7 wkik,cvv- 8 wbdvk, cvv- 9 wimvjvz, cvv- 10 ˆbwZK g~j eva wekv k wimvjvz I beyq Z, cvv- 11 Avmgvwb wkzve 2q Aa vq t kixq Zi Drm cvv- 8 m~iv Avj&-Bbwkivn&, cvv- 9 m~iv AvZ&-Zxb, cvv -10 m~iv AvjgvDb, cvv- 11 kixq Zi 2q Drm: mybœvn&, cvv- (12-21) nvw`m 3q Aa vq t Bev`vZ cvv- 6 gvwjk-köwgk m úk, cvv- 7 Bjg (Ávb), cvv- 8 wkÿv_ xi ˆewkó, cvv- 9 wkÿ Ki Yvejx, cvv- 10 QvÎ wkÿk m úk 4_ Aa vq t AvLjvK cvv-10 ^ `k cög, cvv- 11 KZ e civqyzv, cvv- 12 cwi QbœZv, cvv- 13 wgze wqzv, cvv- 14 AvZ ïw, cvv- 15 mrkv R Av `k I AmrKv R wb la, cvv- 16 AvLjv K hvwggvn&, cvv- 17 cözviyv 5g Aa vq t Av`k Rxeb PwiZ cvv- 8 nhiz Dmgvb (iv.) cvv- 9 nhiz Avwj (iv.), cvv- 10 gymwjg gbxlx, cvv- 11 Bgvg Avey nvwbdv (i.) cvv- 12 Bgvg Mvh&hvwj (i.) cö kœi aviv I gvbeèb : gvwmk cixÿvi gvbeèb (mkj gvwmk) : `ybwu m Rbkxj cökœ _vk e DfqwUi DËi w` Z n e 10 2 = 20 b ^i Aa -evwl K I evwl K cixÿvi gvbeèb: m Rbkxj cökœ : 11wU m Rbkxj cökœ _vk e Gi g a h Kv bv 7wU cö kœi DËi w` Z n e 10 7 = 70 b ^i eûwbe vpbx cökœ : 30wU eûwbe vpbx cökœ _vk e Ges mekqwu cö kœi DËi w` Z n e 1 30 = 30 b ^i me gvu : = 100 b ^i 26

23 welq t- wn `y ag I ˆbwZK wkÿv wbe vwpz cȳ Í Ki bvg t wn `y ag I ˆbwZK wkÿv : beg-`kg köwy (NCTB KZ K cökvwkz) cö_g gvwmk cixÿvi wm jevm : cö_g Aa vq t ªóv I m wó cö_g cwi Q` : ªóvi ^iƒc I Dcvmbv, wøzxq cwi Q` : ªóv, m wó I mev Z Zxq Aa vq t ag xq AvPvi-Abyôvb PZz_ Aa vq t wn `ya g ms vi Aa evwl K cixÿvi wm jevm : cö_g Aa vq t ªóv I m wó cö_g cwi Q` : ªóvi ^iƒc I Dcvmbv, wøzxq cwi Q` : ªóv, m wó I mev wøzxq Aa vq t wn `ya g i wek vm, DrcwË I wekvk cö_g cwi Q` : wn `ya g i wek vm, wøzxq cwi Q` : wn `ya g i DrcwË I µgwekvk Z Zxq Aa vq : ag xq AvPvi-Abyôvb PZz_ Aa vq : wn `ya g ms vi 2q gvwmk cixÿvi wm jevm : câg Aa vq : `e- `ex I c~rv mßg Aa vq : ag MÖ š ˆbwZK wkÿv Aóg Aa vq : ag xq DcvL vb I ˆbwZK wkÿv evwl K cixÿvi wm jevm : câg Aa vq : `e- `ex I c~rv lô Aa vq : hvm mvabv mßg Aa vq : ag MÖ š ˆbwZK wkÿv Aóg Aa vq : ag xq DcvL vb I ˆbwZK wkÿv cö kœi aviv I gvbeèb : 27

24 gvwmk cixÿvi gvbeèb (mkj gvwmk) : `ybwu m Rbkxj cökœ _vk e DfqwUi DËi w` Z n e 10 2 = 20 b ^i Aa -evwl K I evwl K cixÿvi gvbeèb: m Rbkxj cökœ : 11wU m Rbkxj cökœ _vk e Gi g a h Kv bv 7wU cö kœi DËi w` Z n e 10 7 = 70 b ^i eûwbe vpbx cökœ : 30wU eûwbe vpbx cökœ _vk e Ges mekqwu cö kœi DËi w` Z n e 1 30 = 30 b ^i me gvu : = 100 b ^i [ we: `ª: cökœc Î Kv bv MÖæc wefvrb _vk e bv m ú~y wm jevm _ K m Rbkxj I eûwbe vpbx cökœ _vk e cö kœi aviv I gvbe Ub ev W i wbqg Abyhvqx cwiez b I cwigvr b n Z cv i ] welq t- eš ag I ˆbwZK wkÿv wbe vwpz cȳ Í Ki bvg t eš ag I ˆbwZK wkÿv: beg-`kg köwy (NCTB KZ K cökvwkz) 2q Aa vq : ey I evwa më 3q Aa vq : wîwcuk 4_ Aa vq : m~î I MxwZMv_v 5g Aa vq : eš I Kg ev` cö_g gvwmk cixÿvi wm jevm : Aa -evwl K cixÿvi wm jevm : 1g Aa vq : MŠZg ey i Rxeb I wkÿv 2q Aa vq : ey I evwa më 3q Aa vq : wîwcuk 4_ Aa vq : m~î I MxwZMv_v 5g Aa vq : eš I Kg ev` 6ô Aa vq : AUV K_v 28

25 7g Aa vq : wbe vb 8g Aa vq : m½xz 9g Aa vq : RvZK 10g Aa vq : PwiZgvjv 11k Aa vq : eš a g i BwZnvm 2q gvwmk cixÿvi wm jevm : evwl K cixÿvi wm jevm : 7g Aa vq : wbe vb, 8g Aa vq : m½xz, 9g Aa vq : RvZK 10g Aa vq : PwiZgvjv 11k Aa vq : eš a g i BwZnvm 12k Aa vq : eš wfÿz I M nx `i wbz Kg I Abykvmb cö kœi aviv I gvbeèb : gvwmk cixÿvi gvbeèb (mkj gvwmk) : `ybwu m Rbkxj cökœ _vk e DfqwUi DËi w` Z n e 10 2 = 20 b ^i Aa -evwl K I evwl K cixÿvi gvbeèb: m Rbkxj cökœ : 11wU m Rbkxj cökœ _vk e Gi g a h Kv bv 7wU cö kœi DËi w` Z n e 10 7 = 70 b ^i eûwbe vpbx cökœ : 30wU eûwbe vpbx cökœ _vk e Ges mekqwu cö kœi DËi w` Z n e 1 30 = 30 b ^i me gvu : = 100 b ^i [ we: `ª: cökœc Î Kv bv MÖæc wefvrb _vk e bv m ú~y wm jevm _ K m Rbkxj I eûwbe vpbx cökœ _vk e cö kœi aviv I gvbe Ub ev W i wbqg Abyhvqx cwiez b I cwigvr b n Z cv i ] 29

26 welq t- wlªóag I ˆbwZK wkÿv wbe vwpz cȳ Í Ki bvg t wlªóag I ˆbwZK wkÿv : beg-`kg köwy (NCTB KZ K cökvwkz) cö_g gvwmk cixÿvi wm jevm : 1g Aa vq : gyw³i c _ AvnŸvb 3q Aavq : Avgvi ^vaxbzv I mgvr 5g Aa vq: ^vaxbzv I eva Zv 7g Aa vq: cyiæl I bvix 2q Aa vq: ^vaxbzv I Avwg 4_ Aa vq: ^vaxbzvq e o DVv 6ô Aa vq: wek Í eüz 1g Aa vq : gyw³i c _ AvnŸvb 3q Aavq : Avgvi ^vaxbzv I mgvr 5g Aa vq: ^vaxbzv I eva Zv 7g Aa vq: cyiæl I bvix 9g Aa vq : wczvi m y L Aa evwl K cixÿvi wm jevm : 2q gvwmk cixÿvi wm jevm : GKv`k Aa vq : we e Ki bxie KÉ ^i Î qv`k Aa vq : mwnsmzv I kvwší evwl K cixÿvi wm jevm : 30 2q Aa vq: ^vaxbzv I Avwg 4_ Aa vq: ^vaxbzvq e o DVv 6ô Aa vq: wek Í eüz 8g Aa vq : ^vaxbzv I RxebvnŸvb 10g Aa vq : Amȳ c w_exi wbivgq Øv`k Aa vq : ü` qi Zxeª hš bv GKv`k Aa vq : we e Ki bxie KÉ ^i Øv`k Aa vq : ü` qi Zxeª hš bv Î qv`k Aa vq : mwnsmzv I kvwší PZz` k Aa vq : cwiewz Z wek PvB câ`k Aa vq : Avgv `i gyw³i c_ cö kœi aviv I gvbeèb : gvwmk cixÿvi gvbeèb (mkj gvwmk) :

27 `ybwu m Rbkxj cökœ _vk e DfqwUi DËi w` Z n e 10 2 = 20 b ^i Aa -evwl K I evwl K cixÿvi gvbeèb: m Rbkxj cökœ : 11wU m Rbkxj cökœ _vk e Gi g a h Kv bv 7wU cö kœi DËi w` Z n e 10 7 = 70 b ^i eûwbe vpbx cökœ : 30wU eûwbe vpbx cökœ _vk e Ges mekqwu cö kœi DËi w` Z n e 1 30 = 30 b ^i 31 me gvu : = 100 b ^i [ we: `ª: cökœc Î Kv bv MÖæc wefvrb _vk e bv m ú~y wm jevm _ K m Rbkxj I eûwbe vpbx cökœ _vk e cö kœi aviv I gvbe Ub ev W i wbqg Abyhvqx cwiez b I cwigvr b n Z cv i ] welq t- evsjv `k I wek cwipq wbe vwpz cȳ Í Ki bvg t evsjv `k I wek cwipq : beg-`kg köwy (NCTB KZ K cökvwkz) 1g gvwmk cixÿvi wm jevm : BwZnvm t- cö_g Aa vq : c~e evsjvi Av `vjb I RvZxqZvev `i DÌvb cwi Q` : 1.1- evovwj RvZxqZvev `i wekv k fvlv Av `vjb cwi Q`: 1.2- evovwj RvZxqZvev `i wekv k ivr bwzk Av `vj bi f~wgkv f~ Mvj t- Z Zxq Aa vq : mširmr I f~-gûj, cwi Q`: 3.1- mširmr cwi Q`: 3.2- we k i wewfbœ v bi mgq wby q c wz cšibxwz t- mßg Aa vq : evsjv `k mikv ii wewfbœ A½ I cökvmb e e v (m ú~y ) mgvr t- Î qv`k Aa vq : cwi Q` : 13.1 Aa -evwl K cixÿvi wm jevm : BwZnvm t- cö_g Aa vq : c~e evsjvi Av `vjb I RvZxqZvev `i DÌvb cwi Q` : 1.1- evovwj RvZxqZvev `i wekv k fvlv Av `vjb cwi Q`: 1.2- evovwj RvZxqZvev `i wekv k ivr bwzk Av `vj bi f~wgkv wøzxq Aa vq : ^vaxb evsjv `k

28 cwi Q` : 2.1- gyw³hy i cö wz, mk gyw³hy I ^vaxb evsjv ` ki Afz `q f~ Mvj t- Z Zxq Aa vq : mširmr I f~-gûj, cwi Q`: 3.1- mširmr cwi Q`: 3.2- we k i wewfbœ v bi mgq wby q c wz cwi Q`: 3.3- c w_exi MwZ (c ôv ch ší) 4_ Aa vq : evsjv ` ki f~-cök wz I Rjevqy (c ôv ch ší) cšibxwz t- 6ô Aa vq : ivóª, bvmwikzv I AvBb (m ú~y ) mßg Aa vq : evsjv `k mikv ii wewfbœ A½ I cökvmb e e v (m ú~y ) 4.A_ bxwz: `kg Aa vq: RvZxq m ú` I A_ bwzk e e v (m ú~y ) GKv`k Aa vq: A_ bwzk wb ` kk mg~n I evsjv ` ki A_ bxwzi cök wz ( c : ch ší) 5. mgvr: Î qv`k Aa vq: evsjv ` ki cwievi KvVv gv I mvgvwrkxkiy (m ú~y ) PZz` k Aa vq: evsjv ` ki mvgvwrk cwiez b (m ú~y ) 2q gvwmk cixÿvi wm jevm : BwZnvm: wøzxq Aa vq: cwi Q` 2.2 I 2.3 f~ Mvj: Z Zxq Aa vq: cwi Q` 3.4 ( Rvqvi fvuv) A_ bxwz: GKv`k Aa vq: ( c :) mgvr: câ`k Aa vq : cwi Q`- 15.1, 15.2 evwl K cixÿvi wm jevm : 1. BwZnvm: cö_g Aa vq: c~e evsjvi Av `vjb I RvZxqZv `i DÌvb cwi Q`: 1.3 mvgwik kvmb I ciez x ivr bwzk NUbv cöevn wøzxq Aa vq: ^vaxb evsjv `k, cwi Q`: 2.2 ^vaxb evsjv ` ki cyb MV b e½eüzi kvmb Avgj I ciez x NUbvejx cwi Q`: 2.3 mbv kvmb Avgj 32

29 2. f~ Mvj: Z Zxq Aa vq: mširmr I f~gûj, cwi Q`-3.4: Rvqvi fvuv (c :52-54 c.) PZz_ Aa vq: evsjv ` ki f~c K wz I Rjevqy (c : ch ší), cybiv jvpbv: c : c : ch ší 3. cšibxwz: mßg Aa vq: evsjv `k mikv iii wewfbœ A½ I cökvmb e e v (m ú~y ) Aóg Aa vq : evsjv ` ki MYZš I wbe vpb (m ú~y ) 4. A_ bxwz: `kg Aa vq: RvZxq m ú` I A_ bwzk e e v (m ú~y ) GKv`k Aa vq: A_ bwzk wb ` kkmg~n I evsjv ` ki A_ bxwzi cök wz ( c : ch ší) 5. mgvr: PZz` k Aa vq: evsjv ` ki mvgvwrk cwiez b (m ú~y ) câ`k Aa vq: evsjv ` ki mvgvwrk mgm v I Gi cöwzkvi, cwi Q` mvgvwrk bivr I g~j ev ai Aeÿq cwi Q` bvixi cªwz mwnsmzv cö kœi aviv I gvbe Ub gvwmk cixÿvi gvbeèb : m Rbkxj cökœ : 2wU 10 2=20 Aa -evwl K I evwl K cixÿvi gvbeèb: cöwzwu wel qi m Rbkxj cö kœi Rb 70 b ^i Ges eûwbe vpbx cö kœi Rb 30 b ^i eivï _vk e cöwzwu m Rbkxj cö kœi b ^i 10 Ges cöwzwu eûwbe vpbx cö kœi b ^i-1 m Rbkxj cökœ: cöwzwu wel q 11wU m Rbkxj cökœ _vk e, 7wU cö kœi DËi w` Z n e eûwbe vpbx cökœ: 30wU eûwbe vpbx cökœ _vk e mekqwu cö kœi DËi w` Z n e me gvu b ^i: (70+30)=100 we.`ª: welq jv Z Kvb MÖæc wefvrb _vk e bv m ú~y wm jevm _ K m Rbkxj cökœ I eûwbe vpbx cökœ _vk e 33

30 welq- weávb wbe vwpz cȳ Í Ki bvg: weávb [ NCTB KZ K cökvwkz] cö_g gvwmk cixÿvi wm jevm: cö_g Aa vq: DbœZi Rxebaviv Z Zxq Aa vq: ü`h š i K_v PZz_ Aa vq: berxe bi m~pbv Aa -evwl K cixÿvi wm jevm: cö_g Aa vq: DbœZi Rxebaviv wøzxq Aa vq: Rxe bi Rb cvwb Z Zxq Aa vq: ü`h š i K_v PZz_ Aa vq: berxe bi m~pbv câg Aa vq: `L Z n j Av jv PvB 6ô Aa vq: cwjgvi wøzxq gvwmk cixÿvi wm jevm : mßg Aa vq: A ø ÿvik I je Yi e envi `kg Aa vq: G mv ej K Rvwb evwl K cixÿvi wm jevm : mßg Aa vq: A ø, ÿvik I je Yi e envi Aóg Aa vq: Avgv `i m ú` beg Aa vq: `y h v Mi mv _ emevm `kg Aa vq: G mv ej K Rvwb GKv`k Aa vq: Rxe cöhyw³ gvbeèb : gvwmk cixÿvi gvbeèb : m Rbkxj cökœ : 2wU 10 2=20 cö kœi aviv I gvb eèb (mkj cixÿvi Rb ) Aa -evwl K I evwl K cixÿvi gvbeèb: (K) cöwzwu wel qi m Rbkxj cö kœi Rb 11wU cökœ _vk e 7wU cö kœi DËi w` Z n e cöwzwu cö kœi gvb n e 10 b ^i eûwbe vpbx cökœ _vk e 30wU 30wU cö kœi DËi w` Z n e cöwzwu cö kœi gvb-1 34

31 me gvu b ^i (70+30)=100 m Rbkxj cö kœi mgq 2 N Uv 30 wgwbu eûwbe vpbx cö kœi mgq 30 wgwbu gvu b ^i : m Rbkxj: 70 10= 70 b ^i eûwbe vpbx: 30 1= 30 b ^i gvu b ^i = 100 b ^i [we:`ª: cö kœi aviv I gvbe Ub evw KZ K cwiez b I cwigvr b n Z cv i ] köyx : 9g welq- Z_ I hvmv hvm cöhyw³ welq-z_ I hvmv hvm cöhyw³ (NCTB KZ K cökvwkz) 1g gvwmk cixÿvi wm jevm: wøzxq Aa vq: Kw úduvi I Kw úduvi e envikvixi wbivcëv PZz_ Aa vq: Avgvi jlv jwl I wnmve Aa evwl K cixÿvi wm jevm: cö_g Aa vq: Z_ I hvmv hvm cöhyw³i Ges Avgv `i evsjv `k wøzxq Aa vq: Kw úduvi I Kw úduvi e envikvixi wbivcëv PZz_ Aa vq: Avgvi jlv jwl I wnmve wøzxq gvwmk cixÿvi wm jevm: 5g Aa vq: gvwëwgwwqv I MÖvwd (63 c ôv _ K 72 c ôv) 6ô Aa vq: WvUv er-gi e envi evwl K cixÿvi wm jevm: Z Zxq Aa vq: Avgvi wkÿvq B Uvi bu 5g Aa vq: gvwëwgwwqv I MÖvwd (64 c ôv _ K 75 ch ší) 6ô Aa vq: WvUv er Gi e envi cö kœi aviv I gvbeèb: gvwmk cixÿvi b ^i e Ub: 10wU eûwbe vpbx / mswÿß cökœ _vk e 10wU cö kœib DËi w` Z n e 10 1=10 b ^i 35

32 Aa -evwl K cixÿv I evwl K cixÿvi gvbeèb: c~y gvb: 50 b ^i b ^i eèb: 25wU eûwbe vpbx cªkœ _vk e 25wU cö kœi DËi w` Z n e 20 1=25 e envwik : 25 e envwik cixÿvi b ^i eèb : 1 cö R± IqvK / cöwz e`b cöyqb: 5 b ^i 2 gšwlk cixÿv: 5 b ^i 3 mduiqv ii I nvw Iq v ii e envi: 3wU cökœ _vk e 3 5=15 b ^i gvu : 25+25= 50 b ^i welq-kvixwik wkÿv, ^v weávb I Ljvayjv 1g gvwmk cixÿvi wm jevm: 1g Aa vq- mȳ Rxe bi Rb kvixwik wkÿv 4_ Aa vq- ^v weávb I ^v mev Aa evwl K cixÿvi wm jevm: 1g Aa vq- mȳ Rxe bi Rb kvixwik wkÿv 2q Aa vq- kvixwik mÿgzv 4_ Aa vq- ^v weávb I ^v mev 5g Aa vq- ^v i Rb cywó 36

33 8g Aa vq- `jmz Ljv (dzuej, ev ej I e vwwg Ub) wøzxq gvwmk cixÿvi wm jevm: 3q Aa vq- gvbwmk ^v I Aemv` 6ô Aa vq= gv`kvmw³ I GBWm 7g Aa vq- eqtmwükvj I cörbb ^v evwl K cixÿvi wm jevm: 3q Aa vq- gvbwmk ^v I Aemv` 6ô Aa vq= gv`kvmw³ I GBWm 7g Aa vq- eqtmwükvj I cörbb ^v 8g Aa vq- `jmz Ljv (KvevwW, n vûej) 9g Aa vq- A v_ jwukm I mvuzvi gvbeèb : NCTB KZ K cö`ë b ^i wefvrb I g~j vqb welq- imvqb wbe vwpz cȳ Í Ki bvg: imvqb (RvZxq wkÿvµg I cvv cȳ ÍK evw, XvKv) 1g gvwmk cixÿvi wm jevm: 1g Aa vq: imvq bi aviyv 2q Aa vq: c`v _ i Ae v Aa evwl K cixÿvi wm jevm: 1g Aa vq: imvqb aviyv 2q Aa vq: c`v _ i Ae v 3q Aa vq: c`v _ i MVb 4_ Aa vq: ch vq mviwy 37

34 * e envwik cixÿvi Rb : Dc iv³ PviwU Aa v qi cvv eb qi AšÍf~ ³ cixÿymg~n 10 2=20 2q gvwmk cixÿvi wm jevm: 5g Aa vq- ivmvqwbk eüb 6ô Aa vq- gš ji aviyv I ivmvqwbk MYbv evwl K cixÿvi wm jevm: 5g Aa vq: ivmvqwbk eüb 6ô Aa vq: gv ji aviyv I ivmvqwbk MYbv 7g Aa vq: ivmvqwbk wewµqv 8g Aa vq: imvqb I kw³ e envwik cixÿvi Rb : Dc iv³ PviwU Aa v qi cvv eb qi AšÍf~ ³ cixÿymg~n cö kœi aviv I gvbeèb gvwmk cixÿvi gvbeèb: m Rbkxj `ybwu cökœ: 10 2=20 Aa evwl K cixÿv I evwl K cixÿvi b ^i eèb: ZË xq Ask: 8wU m RYkxj cökœ _vk e Ges 5wU cö kœi DËi w` Z n e 10 5=50 b ^i eûwbe vpbx Afxÿv: mkj Aa vq _ K AvbycvwZK nv i 25wU cökœ _vk e 25 e envwik Ask: GKwU cixÿy 15 b ^i+ e envwik LvZv 05+ gšwlkv m e v gvu b ^i =m Rbkxj 50+eûwbe vpbx 25+e envwik 25=100 welq- c`v_ weávb ( evw KZ K cökvwkz) 1g gvwmk cixÿvi wm jevm: 2q Aa vq: MwZ 38

35 3q Aa vq: ej Aa evwl K cixÿvi wm jevm: 1g Aa vq- fšz ivwk I cwigvc 2q Aa vq- MwZ 3q Aa vq- ej 4_ Aa vq- KvR, ÿgzv I kw³ 5g Aa vq- c`v _ i Ae v I Pvc e envwik : 1 GKwU AvqZvKvi e i GKwU c ôi ÿîdj I AvqZb wby q 2 GKwU e ËvKvi Z³vi Dc i gv e j Mwo q ci Z w` q Mo `ªæwZ wby q 3 GKwU e ËvKvi cö Q `i ÿîdj wby q wguvi `Š o wkÿv_ xi `ªæwZ wby q Ges jlwp Î Zv we køly Ki 5 Kv bv e i Ici cöhy³ ej cwigvc 2q gvwmk cixÿvi wm jevm: 6ô Aa vq: e i Dci Zv ci cöfve 7g Aa vq: Zi½ I kã evwl K cixÿvi wm jevm: 6ô Aa vq: e i Dci Zv ci cöfve 7g Aa vq: Zi½ I kã 8g Aa vq: Av jvi cöwzdjb 9g Aa vq: Av jvi cöwzmiy 10g Aa vq: w i Zwor e envwik : 1 wmwo w` q `Š o D V wkÿv_ xi ÿgzv wby q 2 ei di MjbvsK wby q 3 cvwbi ùzubvsk wby q 4 AeZj `c b e envi K i cöwzwe ^ m wó I cö`k b 5 DËj jý e envi K i cöwzwe ^ m wó I cö`k b 39

36 m Rbkxj cökœ: 2wU cö kœi aviv I gvb eèb: mkj gvwmk cixÿvi gvbe Ub: 10 2=20 b ^i Aa evwl K cixÿv I evwl K cixÿvi b ^i eèb: ZË xq As ki Rb 75 b ^i Ges e envwik As ki Rb 25 b ^i eivï Av Q ZË xq Ask: m Rbkxj cö kœi Rb 50 b ^i Ges eûwbe vpbx cö kœi Rb 25 b ^i eivï Av Q cöwzwu m RYkxj cö kœi b ^i ( =10) Ges cöwzwu eûwbe vpbx cö kœi b ^i-1 8wU m RYkxj cökœ _vk e 5wU cö kœi DËi w` Z n e 10 5=50 25wU eûwbe vpbx cökœ _vk e Ges me KqwU cö kœi DËi w` Z n e 25 1=25 e envwik Ask: 1 cixÿy: hš /DcKiY ms hvrb I e envi/mwvk cöwµqv AbymiY/DcvË msmön cöwµqvkiy ch eÿb/askb/kbv³kiy: 15 2 e vl vmn djvdj Dc vcb: 5 3 gšwlk Afxÿv: 5 me gvu b ^i: 75+25=100 welq- RxeweÁvb (NCTB evw KZ K cökvwkz) 1g gvwmk cixÿvi wm jevm: 1g Aa vq: Rxeb cvv 2q Aa vq: Rxe Kvl I wumÿ 3q Aa vq: Kvl wefvrb 4_ Aa vq: Rxebxkw³ Aa evwl K cixÿvi wm jevm: 40

37 cö_g Aa vq: Rxeb cvv wøzxq Aa vq: Rxe Kvl I wumÿ Z Zxq Aa vq: Kvl wefvrb PZz_ Aa vq: Rxebx kw³ câg Aa vq: Lv`, cywó Ges cwicvk lô Aa vq: Rx e cwienb e envwik: 1. AbyexÿY hš ch eÿy Ges e envi 2. AbyexÿY h š i mvnv h Dw ` Kv l [ cqv Ri Kvl] ch eÿy 3. AbyexÿY h š i mvnv h cövwy Kvl (A vwgev) ch eÿy 4. QÎvK (K) cwbwmwjqvg ev gvkiæg ch eÿy 5. AbyexÿY h š i mvnv h e vk Uwiqv, (Nostoc) bxjvf meyr ˆkevj ch eÿy 6. k mb cöwµqvq ZvcwbM gb cixÿy, mv jvkms køly cöwµqvq Av jvi Acwinvh Zvi cixÿv ev cixÿb 7. wbdwk qvm, i³kwykv, cøvw W cixÿy I ch eÿb 8. gvb Uvwm mi avcmg~ ni vqx øvbw AbyexÿY h š ch eÿb 9. Dw `i im D Ëvjb cixÿy I ch eÿb wøzxq gvwmk cixÿvi wm jevm: 7g Aa vq: M vmxq wewbgq 8g Aa vq: gvbe ipb 9g Aa vq: ` pzv cö`vb I Pjb evwl K cixÿvi wm jevm: mßg Aa vq: M vmxq wewbgq Aóg Aa vq: ipb cöwµqv beg Aa vq: ` pzv cö`vb I Pjb `kg Aa vq: mgš^q GKv`k Aa vq: Rx ei cörbb e envwik: 1. mwvkfv e i³pvc I cvjm iu cwigvc 41

38 2. cö ^` bi cixÿv 3. hk Zi cö Q `i wpî vqx øvbw ch eÿy 4. Wvqv ewum cwigvc wklb 5. gvbek¼vj ch eÿy Aw i cwiwpwz Av jvpbv 6. Dw `i Av jvi cöwz mvov cö`vb 7. GKwU dz ji wewfbœ Ask ch eÿy (j ^ Q`) cö kœi aviv I gvbeèb gvwmk cixÿvi gvbe Ub -20 b ^i m Rbkxj cökœ _vk e `yõwu `yõwui DËi w` Z n e 2 10=20 Aa evwl K I evwl K cixÿvi b ^i eèb: ZË xq As ki Rb 75 b ^i Ges e envwik As ki Rb 25 b ^i eivï Av Q ZË xq Ask: m Rbkxj cö kœi Rb 50 b ^i Ges eûwbe vpbx cö kœi Rb 25 b ^i eivï Av Q cöwzwu m Rbkxj cö kœi DËi 10 Ges cöwzwu eûwbe vpbx cö kœi b ^i-1 8wU m Rbkxj cökœ _vk e 5wU cö kœi DËi w` Z n e 10 5=50 25wU eûwbe vpbx cökœ _vk e cö Z KwUi DËi w` Z n e 25 1=25 e envwik 25 gvu=100 b ^i e envwik Ask (GKwU cixÿv) cixÿy : hš /DcKiY ms hvrb I e envi / mwvk cöwµqv AbymiY/ DcvË msmön I cöwµqvkiy/ ch eÿy/a¼b / kbv³kiy/ Abykxjb: 15 b ^i e vl vmn djvdj Dc vcb: 5 b ^i, gšwlk Afxÿv; 5 b ^i, m Rbkxj-50 eûwbe vpbx-25 e envwik-25 gvu: =100 b ^i [we:`ª: cixÿvi b ^i e Ub ev W i wbqg Abyhvqx cwiez b I cwigvr b n Z cv i] 42

39 welq-d PZi MwYZ (NCTB evw KZ K cökvwkz) 1g gvwmk cixÿvi wm jevm: 2q Aa vq: exrmvwywzk ivwk PZz` k Aa vq: m vebv Aa evwl K cixÿvi wm jevm: K-wefvM (exrmwyz) 1g Aa vq: mu I dvskb 2q Aavq: exrmvwywzk ivwk 9g Aa vq: m~pkxq I jmvwi`gxq dvskb L-wefvM (R vwgwz, vbvsk R vwgwz I Nb R vwgwz) 3q Aa vq: R vwgwz GKv`k Aa vq: vbvsk R vwgwz: Abykxjbx 11.1 I 11.2 Ges mswkøó D`vniY Î qv`k Aa vq: Nb R vwgwz: Abykxjbx 13 Gi 1 _ K 13 ch ší Ges mswkøó D`vniY M wefvm (wî KvYwgwZ I m vebv) 8g Aa vq: wî KvYwgwZ: Abykxjbx 8:1 Ges mswkøó D`vniY PZz` k Aa vq: m vebv e envwik: 1. GK NvZ dvsk bi jlwpî AsKb 2. wønvz dvsk bi jlwpî AsKb 3. wîfz Ri ewne Ë A¼b K i e vmva wby q 2q gvwmk cixÿvi wm jevm: GKv`k Aa vq: Abykxjbx I 11.4 Ges mswkøó D`vniY 8g Aa vq: wî KvYwgwZ: Abykxjbx 8.2 Ges mswkøó D`vniY evwl K cixÿvi wm jevm: 43

40 K-wefvM (exrmwyz) 5g Aa vq: mgxkiy 7g Aa vq: Amxg aviv L-wefvM (R vwgwz, vbvsk R vwgwz I NbR vwgwz) 4_ Aa vq: R vwgwzk A¼b GKv`k Aa vq: vbvsk R vwgwz: Abykxjbx 11:1 I 11:2 Ges mswkøó D`vniY,Î qv`k Aa vq: Nb R vwgwz: Abykxjbx 13.1Gi 1 _ K 24 ch ší M- wefvm (wî KvYwgwZ I m vebv) 8g Aa vq: wî KvYwgwZ: Abykxjbx 8.2 Ges mswkøó D`vniY PZz` k Aa vq: m vebv e envwik: 1 wîfzr AsKb Ges AšÍe Ë I cwie Ë AsKb K i e vmva wby q 2 vbvsk R vwgwz: wîfzr ÿ Îi ÿîdj wby q I cwimxgv wby q cö kœi aviv I gvbeèb gvwmk cixÿvi gvbe Ub : m Rbkxj cökœ _vk e `yõwu `yõwui DËi w` Z n e 2 10=20 Aa evwl K I evwl K cixÿvi cö kœi aviv I gvbeèb: ZË xq As ki 75 b ^i Ges e envwik As ki Rb 25 b ^i ZË xq Ask: m Rbkxj cö kœi Rb 50 b ^i Ges eûwbe vpbx cö kœi Rb 25 b ^i 8wU m Rbkxj cökœ _vk e 5wU cö kœi DËi w` Z n e 10 5=50 25wU m Rbkxj cökœ _vk e Ges mekqwu cö kœi DËi w` Z n e 25 1=25 gvu=75 m Rbkxj cöwzwu cö kœi b ^i (2+4+4)=10 44

41 K wefvm _ K 3wU, L wefvm _ K 3wU, M wefvm _ K 2wU K i gvu 8wU m RYkxj c kœ _vk e cö Z K wefvm _ K bÿ bzg 1wU K i cökœmn gvu 5wU cö kœi DËi w` Z n e e envwik Ask: 2wU cixÿy m úbœ Ki Z n e 10 2=20 welq- A_ bxwz (NCTB evw KZ K cökvwkz) wbe vwpz cȳ Í Ki bvg: A_ bxwz (9g I 10 köyx) (RvZxq wkÿvµg I cvv cȳ ÍK evw KZ K cökvwkz) cö_g Aa vq: A_ bxwz cwipq PZz_ Aa vq: Drcv`b I msmvb 1g gvwmk cixÿvi wm jevm: Aa -evwl K cixÿvi wm jevm: cö_g Aa vq: A_ bxwz cwipq wøzxq Aa vq: A_ bxwzi iæz c~y aviyvmg~n Z Zxq Aa vq: Dc hvm, Pvwn`v, hvmvb I fvimvg PZz_ Aa vq: Drcv`b I msmvb 2q gvwmk cixÿvi wm jevm: lô Aa vq: RvZxq Avq I Gi cwigvc Aóg Aa vq: evsjv ` ki A_ bxwz 45

42 evwl K cixÿvi wm jevm: câg Aa vq: evrvi lô Aa vq: RvZxq Avq I Gi cwigvc mßg Aa vq: A_ I e vsk e e v Aóg Aa vq: evsjv ` ki A_ bxwz cö kœi aviv I gvbeèb: gvwmk cixÿvi gvbeèb 2wU m Rbkxj cökœ: 10 2=20 Aa evwl K I evwl K cixÿvi cö kœi aviv I gvbeèb: m Rbkxj cökœ:70 b ^i 11wU m Rbkxj cökœ _vk e, 7wU cö kœi DËi w` Z n e 10 7=70 cöwzwu m Rbkxj cö kœi Rb _vk e 10 b ^i eûwbe vpbx cökœ: 30 30wU eûwbe vpbx cökœ _vk e: 30wUi DËi w` Z n e 1 30=30 cöwzwu eûwbe vpbx cö kœi Rb _vk e- 1 b ^i gvu g gvwmk cixÿvi wm jevm: 1g Aa vq: cšibxwz I bvmwikzv 2q Aa vq: bvmwik I bvmwikzv Aa -evwl K cixÿvi wm jevm: cö_g Aa vq: cšibxwz I bvmwikzv 2q Aa vq: bvmwik I bvmwikzv 3q Aa vq: AvBb, ^vaxbzv I mvg welq- cšibxwz I bvmwikzv 46

43 4_ Aa vq: ivóª I mikvi e e v 5g Aa vq: msweavb 2q gvwmk cixÿvi wm jevm: 6ô Aa vq: evsjv ` ki mikvi e e v evwl K cixÿvi wm jevm: 6ô Aa vq: evsjv ` ki mikvi e e v 7g Aa vq: MYZ š ivr bwzk `j I wbe vpb 8g Aa vq: evsjv ` ki vbxq mikvi e e v 9g Aavq: bvmwik mgm v I Avgv `i KiYxq cö kœi aviv I gvb eèb: gvwmk cixÿvi gvb eèb m RYkxj 2wU 10 2=20 Aa evwl K I evwl K cixÿvi cö kœi aviv I gvbeèb: 11wU m Rbkxj cökœ _vk e 7wU cö kœi DËi w` Z n e 30wU eûwbe vpbx cªkœ _vk e mekqwu cö kœi DËi w` Z n e me gvu b ^i: 70+30=100 we:`ª: welq jv Z Kvb MÖæc wefvrb _vk e bv m ú~b wm jevm _ K m Rbkxj cökœ I eûwbe vpbx cªkœ _vk e welq- evsjv `k BwZnvm I wek mf Zv wbe vwpz cȳ Í Ki bvg: evsjv `k BwZnvm I wek mf Zv 1g gvwmk cixÿvi wm jevm: 2q Aa vq: wek mf Zv (wgkixq I wmüz mf Zv) 3q Aa vq: cövpxb evsjvi Rbc` Aa evwl K cixÿvi wm jevm: 1g Aa vq: BwZnvm cwiwpwz 2q Aa vq: wek mf Zv (wgkixq, wmüz, wmök I ivg) 47

44 3q Aa vq: cövpxb evsjvi Rbc` 4_ Aa vq: cövpxb evsjvi ivr bwzk BwZnvm (wlª c~e vã wlª vã) 5g Aa vq: cövpxb evsjvi mvgvwrk, A_ bwzk I mvs wzk BwZnvm 6ô Aa vq: ga hy Mi evsjvi ivr bwzk BwZnvm ( wlª vã) 2q gvwmk cixÿvi wm jevm: 8g Aa vq: evsjvi Bs ir kvm bi m~pbv ce 10g Aa vq: Bs ir kvmb Avg j evsjvi ^vaxkvi Av `vjb evwl K cixÿvi wm jevm: 7g Aa vq: ga hy Mi evsjvi mvgvwrk A_ bwzk I mvs wzk BwZnvm 8g Aa vq: evsjvi Bs ir kvm bi m~pbv ce 9g Aa vq : Bs ir kvmb Avg j evsjvi cöwz iva, bervmiy I ms vi Av `vjb 10g Aa vq: Bs ir kvmb Avg j evsjvi ^vaxkvi Av `vjb 11`k Aa vq: fvlv Av `vjy I ciez x ivr bwzk NUbv cöevn 12 `k Aa vq: mvgwik kvmb I ^vaxkvi Av `vjb cö kœi aviv I gvbeèb gvwmk cixÿvi gvbeèb: m Rbkxj cökœ: 2wU 10 2=20 Aa evwl K I evwl K cixÿvi cö kœi aviv I gvbeèb: cöwzwu wel q 11wU m RYkxj cökœ ZvK e 7 cö kœi DËi w` Z n e 30wU eûwbe vpbx cökœ _vk e cö Z KwU cö kœi DËi w` Z n e me gvu b ^i (70+30)=100 we:`ª: welq jv Z Kvb MÖæwc wefvrb _vk e bv m ú~y wm jevm _ K m Rbkxj cökœ I eûwbe vpbx cªkœ _vk e 48

45 welq-f~ Mvj I cwi ek wbe vwpz cȳ Í Ki bvg: f~ Mvj I cwi ek (9g I 10g köwy) 1g gvwmk cixÿvi wm jevm: 2q Aa vq; gnvwek I Avgv `i c w_ex 10g Aa vq: evsjv `k fšmwjk weeiy Aa evwl K cixÿvi wm jevm: 1g Aa vq: f~ Mvj I cwi ek 2q Aa vq: gnvwek I Avgv `i c w_ex 4_ Aa vq: c w_exi Af šíixy I evwn K MVb 7g Aa vq : RbmsL v 9g Aa vq: m ú` I A_ bwzk Kvh vewj 10g Aa vq: evsjv `k fš MvwjK weeiy 2q gvwmk cixÿvi wm jevm: 5g Aa vq : evqy gûj, 11k Aa vq: evsjv ` ki m ú` I wkí evwl K cixÿvi wm jevm: 3q Aavq: gvbwpî MVb I e envi 5g Aa vq: evqygûj 8g Aa vq: gvbe emwz 11k Aa vq: evsjv ` ki m ú` I wkí 12k Aa vq: evsjv ` ki hvmv hvm e e v I evwyr 14k Aa vq: evsjv ` kj cövk wzk `~ h vm m Rbkxj 2wU cökœ _vk e cö kœi aviv I gvb eèb: gvwmk cixÿvi gvbe Ub Aa evwl K I evwl K cixÿvi gvbe Ub 10 2=20 b ^i 49

46 cöwzwu m Rbkxj cö kœi Rb 10 Ges cöwzwu eûwbe vpbx cö kœi Rb 1 b ^i 11wU m Rbkxj cªkœ _vk e, 7wU cö kœi DËi w` Z n e 30wU eûwbe vpbx cökœ _vk e 30wU cö kœi DËi w` Z n e me gvu b ^i: 70+30=100 b ^i 2q I 6ô Aa vq welq- wnmve weávb 1g gvwmk cixÿvi wm jevm: Aa -evwl K cixÿvi wm jevm: 1g Aa vq- wnmve weávb cwiwpwz 2q Aa vq- jb `b 3q Aa vq- `yõzidv `vwljv c wz 5g Aa vq- wnmve 6ô Aa vq- Rv e`v 7g Aa vq- LwZqvb 8g Aa vq- bm`vb eb (eva Zvg~jK) 11k Aa vq- Drcv`b e q 4_ I 12k Aa vq 2q gvwmk cixÿvi wm jevm: evwl K cixÿvi wm jevm: 4_ Aa vq- g~jab I gybvdv RvZxq jb `b 9g Aa vq- iiqvwgj (eva Zvg~jK) 12k Aa vq- cvwievwik I AvZ Kg ms vbg~jk wnmve cybiv jvpbv: 2q, 7g I 8g Aa vq 50

47 cö kœi aviv I gvbeèb gvwmk cixÿvi gvbeèb: 02wU m Rbkxj cökœ _vk e `ybwuib DËi w` Z n e Aa evwl K I evwl K cixÿvi gvbe Ub 10 2=20 b ^i m Rbkxj cökœ: eva Zvg~jK Aa vq _ K `ybwu cökœmn gvu 11wU cökœ _vk e eva Zvg~jK Aa v qi `ybwu cökœmn gvu 07wU cö kœi DËi w` Z n e 10 7=70 eûwbe vpbx cökœ: mkj Aa vq _ K AvbycvwZK nv i 30wU cökœ _vk e mkj cö kœi DËi w` Z n e 1 30=30 gvu= 100 b ^i welq-wdb vý I e vswks 1g gvwmk cixÿvi wm jevm: 3q Aa vq I 10g Aa vq Aa -evwl K cixÿvi wm jevm: 1g Aa vq- A_ vqb I e emvq A_ vqb 2q Aa vq- A_ vq bi Drm 3q Aa vqñ A _ i mgqg~j 8g Aa vqñ gỳ ªv, e vsk I e vswks 9g Aa vq- e vswks e emvq I Zvi aib 10g Aa vq- evwywr K e vsk I Zvi cwiwpwz 2q gvwmk cixÿvi wm jevm: 4_ Aa vq I 12k Aa vq evwl K cixÿvi wm jevm: 4_ Aa vq- SzuwK I AwbðqZv 5g Aa vq- g~jawb Avq e q cöv jb 11k Aa vqñ e vs Ki AvgvbZ 12k Aa vq- e vsk I MÖvnK 51

48 cybiv jvpbv- 1g Aa vq- A_ vqb I e emvq A_ vqb, 9g Aa vq- e vswks e emvq I Zvi aib cö kœi aviv I gvbeèb gvwmk cixÿvi gvbeèb wdb vý Ask n Z 01wU I e vswks Ask n Z 01wU mn gvu 02wU m Rbkxj cökœ _vk e `yõwuib DËi w` Z n e: 10 2=20 b ^i Aa evwl K I evwl K cixÿvi cö kœi aib I gvbeèb: (K) wdb vý Ask n Z 06wU I e vswks Ask n Z 05wU m Rbkxj cökœmn gvu 11wU cökœ _vk e wdb vý Ask n Z bÿ bzg 03wU I e vswks Ask n Z bÿ bzg 03wU mn gvu 07wU cö kœi DËi w` Z n e 10 7=70 (L) cöwzwu Aa vq _ K 05wU K i cªkœ wb q gvu 30wU eûwbe vpbx cökœ _vk e mkj cö kœi DËi w` Z n e 1 30=30 gvu b ^i =100 welq- e emvq D ` vm eb qi bvg: gva wgk e emvq D ` vm ( evw ) 1g gvwmk cixÿvi wm jevm: 1g Aa vq- e emvq cwiwpwz 3q Aa vq- AvZ Kg ms vb Aa evwl K cixÿvi wm jevm: 1g Aa vq: e emvq cwiwpwz 2q Aa vq: e emvq D ` vm I D ` v³v 3q Aa vq: AvZ Kg ms vb 4_ Aa vq: gvwjkvbvi wfwë Z e emvq msmvb 5g Aa vq: e emvq AvBbMZ w`k 2q gvwmk cixÿvi wm jevm: 1) 7g Aa vq- evsjv ` ki wkí 2) 9g Aa vq- wecbb 52

49 evwl K cixÿvi wm jevm: 6ô Aa vq: e emvq cwikíbv 7g Aa vq: evsjv ` ki wkí 8g Aa vq: e emvq I cöwzwôv bi e e vcbv 9g Aa vq: wecbb 10g Aa vq: e emvq D ` vm Dbœq b mnvqk mev cö kœi aviv I gvb eèb: gvwmk cixÿvi gvbeèb: m Rbkxj 2wU cökœ _vk e 10 2=20 Aa evwl K/evwl K cixÿvi cö kœi aviv I gvbeèb: m Rbkxj: mkj Aa vq _ K bÿ bzg 02wU K i gvu 11wU cökœ _vk e h Kvb 7wU cö kœi DËi w` Z n e 7 10=70 eûwbe vpbx mkj Aa vq _ K AvbycvwZK nv i 30wU cökœ _vk e me cö kœi DËi w` Z n e 30 1=30 me gvu b ^i=100 welq- K wlwkÿv wbe vwpz cȳ Í Ki bvg: K wl wkÿv (NCTB KZ K cökvwkz) 1g gvwmk cixÿvi wm jevm: *1g Aa v qi 1g I 3q cwi Q` * 2q Aa v qi 2q cwi Q` *3q Aa v qi 1g cwi Q` Aa -evwl K cixÿvi wm jevm: cö_g Aa vq: (K wl cöhyw³): 53

50 1g cwi Q`- (dmj wbe vpb) 2q cwi Q`- (dmj Drcv` bi Rb Rwg cö wz) 3q cwi Q`- (f~wgÿq I ÿq iva) wøzxq Aa vq (K wl DcKiY) 1g cwi Q`- (dmj exr I esk we ÍviK DcKiY) 2q cwi Q`- (gv Qi cykzi) 3q cwi Q`- (gvq Pv li Rb cykzi Lbb Ges cö ZKiY) Z Zxq Aa vq (K wl I Rjevqy): 1g cwi Q`Ñ(weiƒc AvenvIqv mwnòz dmj I dm ji RvZ) 2q cwi Q`- (Rjevqy cwiez b I K wl ÿ Î cöfve) 3q cwi Q`- (Rjevqy cwiez bi cöÿvc U Awf hvrb Kjv KŠkj) PZz_ Aa vq (K wlr Drcv`b): 1g cwi Q`- (dmj Pvl c wz) 2q cwi Q`- (kvkmewr Pvl c wz) câg Aa vq (ebvqb) 1g cwi Q`- (evsjv ` ki ebvâ ji we Í wz) 2q cwi Q`- (eb msiÿy wewa) 3q cwi Q`- (eb bvm vwi) 2q gvwmk cixÿvi wm jevm: cö_g Aa v qi 4_ I 6ô cwi Q` wøzxq Aa v qi 4_ I 5g cwi Q` PZz_ Aa v qi 4_ cwi Q` evwl K cixÿvi wm jevm: cö_g Aa vq (K wl cöhyw³): 4_ cwi Q`-(exR msiÿb) 5g cwi Q`- (Lv` msiÿy) 6ô cwi Q`- (gv Qi m ú~ik Lv` ) wøzxq Aa vq (K wl DcKiY): 4_ cwi Q`- (gv Qi AfqvkÖg) 54

51 5g cwi Q`- (grm msiÿb AvBb) 6ô cwi Q`- (M ncvwjz cvwli Avevmb) 7g cwi Q`- (M ncvwjz cvwli Lv` ) 8g cwi Q`- (Mevw` cïi Lv` ) Z Zxq Aa vq (K wl I Rjevqy): 4_ cwi Q`- (grm ÿ Îi Dci Rjevqy cwiez bi cöfve) 5g cwi Q`- (Rjevqy cwiez bi cöÿvc U grm ÿ Î Awf hvrb Kjv KŠkj) 6ô cwi Q`- (Rjevqy cwyiez b cïcvwli Dci cöfve) 7g cwi Q`-(Rjevqy cwiez bi cöÿvc U cïcvwli Awf hvrb Kjv KŠkj) PZz_ Aa vq (K wlr Drcv`b): 3q cwi Q`- (dzj-dj Pvl c wz) 4_ cwi Q`- (gvq Pvl c wz) 5g cwi Q`- (mgwš^z gvq Pvl c wz) câg Aa vq (ebvqb) 4_ cwi Q`- (e ÿ KZ b I KvV msmön) 5g cwi Q`- (DcK~jxq ebvqy) cö kœi aviv I gvb eèb: gvwmk cixÿvi gvbeèb: m Rbkxj 2wU cökœ _vk e 10 2=20 Aa evwl K I evwl K cixÿvi cö kœi aviv I gvbeèb: ZË xq As ki Rb 75 b ^i Ges e envwik As ki Rb 25 b ^i eivï ZË xq Ask: m Rbkxj cö kœi Rb 50 b ^i Ges eûwbe vpbx cö kœi Rb 25 b ^i eivï Av Q cöwzwu m Rbkxj cö kœi b ^i 10 Ges cöwzwu eûwbe vpbx cö kœi b ^i-1 8wU m Rbkxj cökœ _vk e 5wUi DËi w` Z n e 25wU eûwbe vpbx cökœ _vk e Ges me jv cö kœi DËi w` Z n e 55

52 e envwik Ask: 25 b ^i cixÿy: hš / DcKiY ms hvrb I e envi/ mwuk cöwµqv AbymiY/ DcvË msmön I cöwµqvkiy/ ch eÿy/ AsKb/ kbv³kiy/ Abykxjb; 15 b ^i e vl vmn djvdj Dc vcb: 5 b ^i, gšwlk Afxÿv: 5 b ^i me gvu b ^i: ( )=100 [we.`ª: Kvb MÖæc wefvrb _vk e bv cªwzwu Aa vq _ K AvbycvwZK nv i m Rbkxj I eûwbe vpbx cökœ _vk e ] welq-k vwiqvi wkÿv eb qi bvg: K vwiqvi wkÿv 9g I 10g köwyi RvZxq wkÿvµg I cvv cȳ ÍK evw -KZ K cökvwkz g gvwmk cixÿvi wm jevm: 1g Aa vq: Avwg I Avgvi K vwiqvi (1-22 c ôv) Aa evwl K cixÿvi wm jevm: 1g Aa vq: Avwg I Avgvi K vwiqvi (1-22 c ôv) 2q Aa vq: K vwiqvi MVb: b I `ÿzv (23-46 c ôv) 2q gvwmk cixÿvi wm jevm: 3q Aa vq: K vwiqvi MV b hvmv hvm, m úk vcb I AvPiY (47-62 c ôv) evwl K cixÿvi wm jevm: 3q Aa vq: K vwiqvi MV b hvmv hvm, m úk vcb I AvPiY (47-62 c ôv) cö kœi aviv I gvbeèb: gvwmk cixÿvi gvbeèb: 10wU eûwbe vpbx cªkœ _vk e 1 10=10 Aa evwl K I evwl K cixÿvi cö kœi aviv I gvbeèb: 56

53 NCTB / evw KZ K wbe vwpz gvbeèb Abyhvqx welq-pviæ I KviæKjv eb qi bvg: Pviæ I Kviæ Kjv (9g I 10g köyx evw KZ K cökvwkz) 1g gvwmk cixÿvi wm jevm: 1g Aa vq : wkíkjv 2q Aa vq: `k-we ` ki D jøl hvm wkíx I wkíkg 5g Aa vq: e envwik wkíkjv Aa evwl K cixÿvi wm jevm: 1g Aa vq: wkíkjv 2q Aa vq: `k we ` ki D jøl hvm wkíx I wkíkg 4_ Aa vq: AvuK Z n j Rvb Z n e 7g Aa vq: (K) evu ki Zix wkíkg (L) Kvco Qvcv (UvB GÛ WvB, eøk I evwuk) I KvV Lv`vB wkí e envwik: 1. ilvwpî: cvm ckwuf, wój jvbd, dzj, cvzv, WªBs 2. FZz wfwëk mkj Qwe, gyw³hy, fvlv Av `vj bi Qwe Ges köyx wkÿk Øviv wba vwiz welq I gva g Øviv cwipvwjz n e, 3. R vwgwzk bkkv (e Ë, wîfyr, PZzfy R) 2q gvwmk cixÿvi wm jevm: 5g Aa vq: e envwik wkí Kjv evwl K cixÿvi wm jevm: 3q Aa vq: evovwj jvk Rxe b Pviæ I KviæKjv 5g Aa vq: e envwik wkíkjv 6ô Aa vq: ev Íe I wz _ K Abykxjb 7g Aa vq: (K) Ae eüz wrwbm w` q wkíkg, (L) cvovgvwu djk wpî 57

54 e envwik: 1 ilvwpî: wdmvi WªBs, j vû c 2 cövk wzk ` k : gva g Rj/ cvóvi is 3 bkkv: cövk wzk (dzj, jzv, cvzv, cvwl) cö kœi aviv I gvbeèb gvwmk cixÿvi gvbeèb 2wU cö kœi w` Z n e 5 2=10 Aa evwl K I evwl K cixÿvi cö kœi aviv I gvbeèb: ZË xq As ki Rb 75 b ^i Ges e envwik As ki Rb 25 b ^i eiv Av Q ZË xq Ask (A¼b wfwëk Ask, ey bvg~jk Ges eûwbe vpbx cökœ) A¼bwfwËK Ask: 40 b ^i PviæKjv Ask: wU ilvwpî 1wU A¼b Ki Z n e wU Qwe _vk e (1wU welq wfwëk I 1wU ey bvg~jk n Z 15 1wU Ki Z n e (WªBs As k- 8, is jcb-7) KviæKjv Ask: 15 b ^i 1 3wU welq _ K h Kvb GKwU welqk cö kœ D jøwlz gvc Abyhvqx bkkv (mv`v Kv jv) A¼b (bkkv A¼b 8 b ^i I is jcb 7 b ^i) 15 ey bvg~jk cökœ 20 b ^i PviæKjv As k 3wU Ges KviæKjv As k 3wU _vk e cö Z K As k _ K 2wU cö kœi w` Z n e 4 5=20 eûwbe vpbx Ask: 15wU eû wbe vpbx cökœ _vk e mekwu DËi w` Z n e- 1 15=15 gvu 75 e envwik 1 Qwe AvuK (ey bvg~jk ev welq wfwëk) 10 2 bkkv ˆZix (cövk wzk: dzj, jzv, cvzv, gvq) 10 A_ev R vgwzk: e Ë, wîfzr, PZzf~ R w` q A¼b 58