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1 welq wm jevm-2017 (evsjv fvm b) kªwy- Aóg GKbR i welqmg~n c ôv bs 1 evsjv 1g cî 02 2 evsjv 2q cî 03 3 Bs irx 1g cî 05 4 Bs irx 2q cî 07 5 Bmjvg I ˆbwZK wkÿv 11 6 wn `y ag I ˆbwZK wkÿv 12 7 wlªó ag I ˆbwZK wkÿv 13 8 eš ag I bwzk wkÿv 14 9 MwYZ evsjv `k I wek cwipq Z_ I hvmv hvm cöhyw³ Pviæ I KviæKjv K wl wkÿv Mvn weávb kvixwik wkÿv I ^v weávb Kg I RxebgyLx wkÿv 20 iv R `ªcyi K v Ub g U cvewjk zj I K jr, MvRxcyi wm jevm g köwy welq : evsjv 1g cî µwgk eb qi bvg jl Ki bvg cökvk Ki bvg 1 mvwnz KwYKv - evw cökvwkz 2 Avb ` cvv - evw cökvwkz 1g ce cixÿv M` : 1 AwZw_i wz 2 fve I KvR 3 c o cviqv 4 ˆZjwP Îi f~z 5 Gev ii msmövg ^vaxbzvi msmövg 6 Avgv `i jvkwkí 7 mylx gvbyl KweZv : 1 gvbeag 2 e½f~wgi cöwz 3 `yb wenv Rwg 4 cv Q jv K wkqz e j 5 bvix 6 Avevi Avwme wd i 7 `k Avb `cvv : 1 wk kvi KvwR 2 ivrkzgvi I wflvwii Q j 3 iwebmb µz kv 4 mvnive iv Íg 5 gv P U Ae fwbm 2q ce cixÿv M` : 1 wkíkjvi bvbv w`k 2 gswzi c _ 3 evsjv beel 4 evsjv fvlvi Rb K_v I 1g ce cixÿvi me cybiv jvpbv KweZv : 1 b`xi ^cœ 2 Rv Mv Z e AiY Kb viv 3 cöv_ x 4 GKz ki Mvb I 1g ce cixÿvi me cybiv jvpbv Avb `cvv : 1 wicf vb DBsKj 2 ivgvqy-kvwnbx (Avw` KvÐ) 3 mv o wzb nvz Rwg I 1g ce cixÿvi me cybiv jvpbv mkj ce cixÿvi cö kœi aviv I gvbeèb 1 m Rbkxj cökœ (9wU n Z 6wU) 10 6 = 60 2 eûwbe vpbx cökœ (40wU) 40 1 = 40 gvu = m Rbkxj cökœ : M`, KweZv Ges Avb `cvv cöwzwu wefvm _ K 3wU K i gvu 9wU m Rbkxj cökœ _vk e cöwzwu wefvm _ K Kgc ÿ 2wU K i gvu 6wU cö kœi DËi w` Z n e 2 eûwbe vpbx cökœ : 40wU eûwbe vpwb cökœ (M` _ K 15wU, KweZv _ K 15wU Ges Avb `cvv _ K 10wU cökœ) me KqwU cö kœi DËi w` Z n e Classs-8 (Page-01) Classs-8 (Page-02)

2 welq : evsjv 2q cî µwgk eb qi bvg jl Ki bvg cökvk Ki bvg 1 evsjv e vkiy I wbwg wz - evw cökvwkz 2 fvlv-wkÿv W. nvqvr gvgỳ - 1g ce cixÿv e vkiy : K fvlv U we k l i kªwywefvm L gvz fvlv I ivóªfvlv V wb ` kk me bv gi iƒc M mvay I PwjZ ixwzi cv_ K W avzz I wµqvc` N aÿwb I ey X gšwjk I mvwaz avzz O g- djv I e- djvi D PviY Y mkg K I AKg K wµqv P mwü Z wµqvi Kvj Q wemm mwü _ kã MVb R kã I c` ` kãv_ S wj½vší ii wbqg I D`vniY a GKB kã wewfbœ A _ cö qvm K i T eûepb MV bi wbqg I D`vniY evk ipbv b mgv_ K kã cö qv M evk ipbv mvivsk I mvig g : 2.1 _ K 2.10 ch ší fve-m cömviy : 3.1 _ K 3.7 ch ší Aby Q` wjl / Abyavb `ÿzv : welq wkÿk KZ K wba vwiz cî ipbv : K e w³mz cî (welq wkÿk KZ K wba vwiz) L Av e`b cî (welq wkÿk KZ K wba vwiz) M wbgš Y cî (welq wkÿk KZ K wba vwiz) cöeü ipbv : K evsjv ` ki lofzz L werq w`em M gyw³hy hv`yni N evsjv ` ki K lk O QvÎRxe bi `vwqz I KZ e P cvvvmv ii cö qvrbxqzv Q Aa emvq (cö qvr b welq wkÿk cwiez b Ki Z cvi eb) 2q ce cixÿv e vkiy : K aÿb vz K kã, AbyKvi kã I kã ˆØZ L kã MVb : cöv_wgk aviyv M evk N evk MV bi kz O LÐevK, ^vaxb I Aaxb LÐevK P mij, RwUj I hšwmk ev K i MVb Q weivg wpý R Kgv, mwg Kvjb, Kvjb I nvb d bi e envi S evbvb T evbv bi K qkwu mvaviy wbqg U Awfavb V ey vbyµg W fyw³ I kxl kã X wecixzv_ K kã cö qv M evk ipbv Y evmaviv Z wbwg wz I Abyaveb kw³ * Aby Q` I Abyaveb kw³ cö qvr b welq wkÿk wba viy Ki eb mvivsk I mvig g : 2.9 _ K cybiv jvpbv I welq wkÿk KZ K wba vwiz fve-m cömviy : cybiv jvpbv I welq wkÿk KZ K wba vwiz Aby Q` wjl / Abyavb `ÿzv : welq wkÿk KZ K wba vwiz cî ipbv : cybiv jvpbv I welq wkÿk KZ K wba vwiz K e w³mz cî I welq wkÿk KZ K wba vwiz L Av e`b cî I welq wkÿk KZ K wba vwiz M wbgš Y cî I welq wkÿk KZ K wba vwiz cöeü ipbv : K evsjv beel L Uª b ågy M Avgvi Q j ejv N ˆ`bw `b Rxeb I weávb O kª gi gh v`v P Kg gylx wkÿv Q ^ `k cög (cö qvr b welq wkÿk wba viy Ki Z cvi eb) mkj ce cixÿvi cö kœi aviv I gvbeèb ipbvg~jk As ki Rb 30 b ^i Ges eûwbe vpbx cö kœi Rb 20 b ^i eivï ipbvg~jk cökœ mvivsk/mvigg (2wU cökœ _ K 1wU) 05 fvem cömviy (2wU cökœ _ K 1wU) 05 Aby Q`/Abyaveb (2wU cökœ _ K 1wU) 05 cî/`ilv Í (2wU cökœ _ K 1wU) 05 cöeü ipbv (ms KZmn 3wU n Z 1wU) 10 gvu = 30 eûwbe vpwb cökœ ïay e vkiy Ask _ K 20wU cökœ _vk e me KqwU cö kœi DËi w` Z n e Classs-8 (Page-03) Classs-8 (Page-04)

3 Subject : English 1st paper List of Books: 1. English for Today - NCTB 2. English Grammar & Composition - NCTB 3. Advanced Learner's Communicative English Grammar and Composition- Chowdhury and Hossain Syllabus for 1st Term Examination 1. English For Today: Unit (1-5) 2. Informal Letters: a. Write a letter to your friend describing your aim in life. b. Write a letter to your friend describing the prize giving ceremony of your school. c. Write a letter to your friend thanking for birthday gift. d. Write a letter to your friend congratulating him on his brilliant success in the JSC Examination. e. Write a letter to your friend describing the picnic you attended. f. Write a letter to your younger brother advising him to be sincere and attentive to his studies. g. Write a letter to your friend describing what you intend to do after JSC examination. 3. Paragraphs: a. Our National Flag b. A Winter Morning c. The Importance of Learning English d. Tree Plantation e. A Tea Stall f. Traffic Jam g. A Rainy Day i. A Street Accident j. A School Magazine k. Load Shedding 4. Completing Stories: a. A Friend in Need is a Friend Indeed. b. Unity is Strength. c. Slow and Steady Wins the Race. d. Grapes are Sour. e. The Farmer and His Goose. f. Devotion to Mother g. The Lion and the Mouse. 5. Dialogues: a. Necessity of tree plantation. b. Preparation for JSC examination. c. How to learn English. d. Buying a pair of shoes. e. Importance of learning English. f. With bookseller for buying a book. g. Bad effects of smoking. h. With a doctor about health problems. Syllabus of 2nd Term Examination 1. Text Book: Unit (6-9) 2. Informal Letters: a. Write a letter to your friend telling him about the importance of learning English. b. Write a letter to your friend thanking him for hospitality. c. Write a letter to your friend describing the annual sports of your school. d. Write a letter to your friend describing your preparation for the JSC Examination. e. Write a letter to your friend inviting him to join a picnic. f. Write a letter to your friend inviting him to join your birthday party. g. Write a letter to your friend consoling on his mother s/ father s death. 3. Paragraphs: a. Your School Library b. A Book Fair c. A Street Beggar d. Life of a farmer e. Your favourite Teacher f. A Day Labourer g. Your Visit to a Book Fair h. Computer i. Mobile Phone 4. Completing Stories: a. Nobody Believes a Liar. b. Who is to Bell the Cat. c. Dividing the Bread. d. An Honest Wood-Cutter. e. Failure is the Pillar of Success. f. A Thirsty Crow. g. A Clever Fox Who Fell into a Trap Classs-8 (Page-05) Classs-8 (Page-06)

4 5. Dialogues: a. About your aim in life. b. About your hobbies. c. Advantages and disadvantages of village life and city life. d. Necessity of physical exercise e. Importance of reading newspaper f. Benefits of early rising g. Merits and demerits of mobile phone Marks Distribution for all the Term-ends and JSC Examination Section A (Reading) # Reading Test (Seen Passage) Questions Multiple Choice Question 1 5 = 5 Marks 2. Short Questions 2 5 = 10 Marks 3. Summarizing 10 Marks # Reading Test (Unseen Passage) Questions 4 & 5 4. Information Transfer 1 5 = 5Marks 5. True/False 1 5 = 5Marks 6. Fill in the gaps with appropriate 1 5 = 5Marks words 7. Rearranging Sentences 10 Marks 8. Gap filling with clues = 5Marks 9. Matching sentence parts 1 5 = 5Marks Section B (Writing) 10. Dialogue writing 10 Marks 11. Paragraph writing 10 Marks 12. Completing story 10 Marks 13. Informal Letter 10 Marks Total= 100 Marks Subject : English 2nd Paper List of Books: 1. English Grammar and Composition - NCTB 2. Advanced Learner s Communicative English Grammar and Composition - Chowdhury and Hossain Syllabus of 1st Term-end Examination Section-A: Grammar: Gap filling activities with and without clues: 2. Parts of Speech a. Uses of Nouns. b. Uses of Pronouns. c. Uses of Verbs d. Uses of Adverbs e. Uses of Preposition. f. Uses of Conjunction. g. Uses of Interjection h. Uses of Articles. 3. Tense a. Forms of Present Tense. b. Forms of Past Tense. c. Forms of Future Tense. 4. Making Sentences from the Substitution Table: 5. Narration- Direct to Indirect speech (detached sentences). a. Assertive Sentence. d. Optative Sentence b. Interrogative Sentence. e. Exclamatory Sentence c. Imperative Sentence. 6. Changing Sentences (detached sentences). a. Affirmative to Negative and Assertive to Interrogative and vice versa. b. Assertive to Exclamatory and vice versa c. Assertive to Imperative and vice versa d. Positive to Comparative or Superlative and vice versa. e. Active to Passive and vice versa. 7. Capitalization and Punctuation Marks (Passage form) 8. Uses of Suffixes and Prefixes (Passage form) 9. Uses of Right Form of Verbs (Passage form) Section-B: Composition: Writing (word limit: 150 words): a. Write an to your friend congratulating him on his brilliant success in the JSC Examination. Classs-8 (Page-07) Classs-8 (Page-08)

5 b. Write an to your cousin/friend wishing Happy Birthday to him. c. Write an to your friend inviting him to attend the wedding ceremony of your elder sister. d. Write an to your father telling him about the result of your annual examination. e. Write an to your father about your preparation for the JSC Examination. f. Write an to your friend inviting him to attend the picnic you are going to enjoy. 2. Writing Formal Letters: a. Write an application to your Headmaster for a transfer certificate. b. Write an application to your Headmaster for a seat in the school hostel. c. Write an application to your Headmaster for morning school. d. Write an application to your Headmaster for a canteen/ common room. e. Write an application to your Headmaster for a stipend/ financial help/ full free studentship. f. Write an application to your Headmaster for arranging a study tour/an excursion. g. Write an application to your Headmaster for remission of delay fine. 3. Writing Compositions (250 words) a. Your Favorite Hobby. b. Benefits of Newspaper Reading/Newspaper. c. Your Future Plan of Life/Aim in Life. d. A Journey by Boat/Pleasure of a Journey by Boat. e. A Journey by Train. f. Physical Exercise/Necessity of Physical Exercise. g. Duties of a Student / Student Life. h. Your Daily Life/Your Daily Routine. i. Your Childhood Memories. Syllabus of 2nd Term-end Examination/Test Examination Section- A: Grammar: Gap filling activities with or without clues (Uses of articles). 2. Gap filling activities with or without clues (Uses of preposition). 3. Gap filling activities with or without clues (Uses of nouns, pronouns, adjectives, adverbs, etc). 4. Making sentences from the substitution table. 5. Narration- Direct to Indirect speech (passage form): a. Assertive Sentence. b. Interrogative Sentence. c. Imperative Sentence. d. Optative Sentence. e. Exclamatory Sentence. 6. Changing Sentences (passage form) a. Affirmative to Negative and Assertive to Interrogative and vice versa b. Assertive to Exclamatory and vice versa c. Assertive to Imperative and vice versa d. Positive to Comparative or Superlative and vice versa e. Active to Passive and vice versa. 7. Capitalization and Punctuation Marks (passage form) 8. Uses of Suffixes and Prefixes (passage form) 9. Cloze test with/without clues (using right form of verbs) Section- B: Compositions: Writing (word limit: 150 words): a. Write an to your friend thanking for his birthday present. b. Write an to your friend asking him to return the book borrowed from you. c. Write an to your friend living in America inviting him to visit Bangladesh. d. Write an to your father living in London telling him that you have done well in the JSC Examination. e. You want to participate in an Essay competition/a Debate competition organized by BTV/a national daily. Write an to the proper authority requesting him for sending you the guidelines and other detail of that competition. f. Write an to your friend living in London greeting him on the New Years Eve. 2. Writing Formal Letters: a. Write an application to your Headmaster for early leave. b. Write an application to your Headmaster for opening a computer club. c. Write an application to your Headmaster for opening a debating club. d. Write an application to your Headmaster for leave in advance. e. Write an application to your Headmaster for increasing common room facilities/library facilities Classs-8 (Page-09) Classs-8 (Page-10)

6 f. Write an application to the Chairman of your Union Council for sinking tube-wells. g. Write an application to the Deputy Commissions/Upazilla Chairman for immediate help for the flood affected people. 3. Writing Compositions (250 words) : a. The Season You Like Best. b. Wonder of Modern Science/Science in Everyday Life. c. A Village Market. d. A Village Fair. e. Your Favorite Game. f. Your Visit to a Place of Historical Importance. g. Necessity of Tree Plantation. h. Computer. i. Population Problem of Bangladesh. j. Pattern of Question paper and Marks Distribution 1st Term-end/Test/Model Test/JSC Examination Section - A: Grammar: 30 Marks 1 Uses of Articles (Filling the gaps = 03 in a passage) 2 Uses of Prepositions (Filling the = 03 gaps in a passage) 3 Making sentences from the = 04 substitution table 4 Changing the form of speech = 04 (Narration) 5 Transformation of sentences = 05 6 Capitalization and punctuation = 03 7 Uses of suffixes and Prefixes = 04 8 Uses of right form of verbs = 04 Total = 30 Section - B: Composition: 20 marks 9 writing /formal letters = 08 (No option) 10 Composition (No option) = 12 Total = 20 G. Total 50 N.B. a. The syllabus for the model test may be selected by the subject teachers. b. There will be one Model Test after the 2nd Term-end Examination/Test Examination. Classs-8 (Page-11) welqt Bmjvg I ˆbwZK wk v eb qi bvgt Bmjvg I ˆbwZK wk v ( evw cökvwkz) 1g ce cix v t 1g Aa vq AvKvB` : Cgvb, Cgv bi mvzwu wel qi weeiy, wbdvk, Avj&- AvmgvDj ûmbv, wimvjvz, LZ g beyqz 2q Aa vq Bev`vZ : hvkvz, hvkvz dih niqvi kz mg~n, hvkv Zi wbmve, hvkv Zi gvmvwid, hvkv Zi iæz I Zvrch, nr, n R i HwZnvwmK cuf~wg, n R i dir, IqvwRe I mybœvzmg~n 3qAa vq KziAvb gvrx` I nv`xm wk v : KziAvb gvrx`, ZvRex`, b~b mvwkb I Zvbex bi ey bv, gxg mvwk bi ey bv, bvwriv wzjviqvz, m~iv Avj-Kv`i, m~iv Avj&-whjhvj, m~iv Avj-wdj 4_ Aa vq AvLjvK : KwZcq AvLjv K nvwg`vn, ˆah, åvz Z, bvixi gh v`v, mgvr mev, `k cög, cigzmwnòzzv 5g Aa vq Av`k RxebPwiZ : nhiz myjvqgvb (Av), nhiz gymv (Av), nhiz Cmv (Av), nhiz gynv ` (m) 2q ce cix v : 1g Aa vq AvKvB` : AvwLivZ, kvdvavz, RvbœvZ, Rvnvbœvg, Cgvb I ˆbwZKZv 2q Aa vq Bev`vZ : n¾ cvj bi wbqg, Kzievwb, AvKxKv, Kzievwbi 3qAa vq Z v Mi wk v KziAvb gvrx` I nv`xm wk v : m~iv KzivBk, m~iv Avb-bmi, AvqvZzj Kziwm, m~iv nvk ii kl wzb AvqvZ, Avj-KziAvb I ˆbwZK wk v, gvbvrvzg~jk nvw`m, nvw`m I ˆbwZK wk v 4_ Aa vq AvLjvK : AvLjv K hvwggvn, AnsKvi, Ak xjzv, cikªxkvzizv, N Yv, PŠh e wë, Nyl, mš vm, GBPAvBwf Ges GBWm 5g Aa vq Av`k RxebPwiZ : nhiz Avwqkv (ivt), nhiz Dgvi Be b Avãyj AvRxR (in.), nhiz iv eqv emwi (in.) mkj ce I wbe vpbx cixÿvi cö kœi aviv I gvbeèb : 1 m Rbkxj (9wU cökœ _ K 6wU cökœ) 10 6=60 2 eûwbe vpbx As k 40wU cökœt 1 40=40 gvu = 100 Classs-8 (Page-12)

7 welqt wn `y ag I ˆbwZK wk v eb qi bvg- wn `yag I ˆbwZK wk v ( evw KZ K cökvwkz) 1g ce cix v : 1. 1g Aa vq Ck ii ^iƒc 2. 2q Aa vq ag MÖš 3. 5g Aa vq `e `ex I c~rv cve Yt cvv-1 _ K cvv-6 ch ší 4. 6ô Aa vq agx q DcvL v b ˆbwZK wk v 5. 7g Aa vq Av`k RxebPwiZt kªxk ò, kªx nwipvu` VvKzi, ^vgx we ekvb `, VvKzi wbmgvb ` 2q ce cix v : wbe vpbx cix v : kªwy Afx v g Aa vq Ck ii ^iƒc 2. 2q Aa vq ag MÖš ev W i m ú~y wm jevm ev W i m ú~y wm jevm gvbeèb- mkj c e i Rb ( ev W i wbqgvbyhvqx) 1 m Rbkxj (9wU cökœ _ K 6wU 10 6=60 cökœ) 2 eûwbe vpbx As k 40wU cökœ: 1 40=40 welqt wlªóag I ˆbwZK wk v eb qi bvg- wlªóag I ˆbwZK wk v ( evw KZ K cökvwkz) 1g kªwy Afx v : 1g I 2q Aa vq 1g ce cix v : 1g Aa vq cweî AvZ v 2q Aa vq Ck ii m wói jvjb 3q Aa vq Ck i I gvbyl 4_ Aa vq gvby li cz bi dj 5g Aa vq hxïi evyx cöpv ii g~jfve 2q ce cix v : 6ô Aa vq Ck ii Avnev b wcz ii mvov`vb 7g Aa vq wlªógêjx 8g Aa vq hxïi Avðh KvR I HkivR 9g Aa vq b vh Zv, kvwší I AvZ mshg 10 Aa vq Ck ii mek w_i Uvwbqvm Agj Mv½yjx wbe vpbx cix v : ev W i m ú~y wm jevm kªwy Afx vi gvbeèb 1 m Rbkxj cö kœi DËi `vi : 01wU 10 1 = 10 2 eûwbe vpbx cökœ : 10wU 1 10 = 10 gvu- 20 gvbeèb- mkj c e i Rb ( ev W i wbqgvbyhvqx) 1 m Rbkxj (9wU cökœ _ K 6wU 6 10=60 cökœ) 2 eûwbe vpbx As k 40wU cökœ: 40 1=40 gvu- 100 welqt eš ag I ˆbwZK wk v eb qi bvg- eš ag I ˆbwZK wk v ( evw KZ K cökvwkz) 1g kªwy Afx v K. 1g Aa vq MŠZg ey i mvg bxwz L. 2q Aa vq e `bv 1g ce cix v : 1. 1g Aa vq MŠZg ey i mvg bxwz 2. 2q Aa vq e `bv 3. 3q Aa vq kxj 4. 5g Aa vq m~î I bxwzmv_v 5. 7g Aa vq agx q AvPvi Abyôvb I Drme 6. 8g Aa vq PwiZgvjv 7. 11Zg Aa vq eš a g ivrb e M i Ae`vbt mgªvu KwY 2q ce cix v : wbe vpbx cix v t ev W i m ú~y wm jevm ev W i m ú~y wm jevm kªwy Afx vi gvbeèb 1 m Rbkxj cö kœi DËi `vi : 01wU 10 1 = 10 2 eûwbe vpbx cökœ : 10wU 1 10 = 10 gvu- 20 gvbeèb- mkj c e i Rb ( ev W i wbqgvbyhvqx) 1 m Rbkxj (9wU cökœ _ K 6wU cökœ) 10 6=60 2 eûwbe vpbx As k 40wU cökœt 1 40=40 gvu- 100 Classs-8 (Page-13) Classs-8 (Page-14)

8 welq: MwYZ cvv eb: MwYZ, Aóg köwy- RvZxq wkÿvµg I cvv cȳ ÍK evw XvKv KZ K cökvwkz 1g ce cixÿv cvwumwyz : Abykxjbx: 1, 2.1, 2.2 Ges mswkøó D`vniY exrmwyz : Abykxjbx 4.1 _ K 4.4, 7 Ges mswkøó D`vniY R vwgwz : Dccv` : 1 n Z 5 ch ší, m úv` : 1 n Z 4 ch ší Abykxjbx: 8.1, 8.2 (1 n Z 7) cwimsl vb : Abykxjbx 11 (1 _ K 12 ch ší) Ges mswkøó D`vniY 2q ce cixÿv cvwumwyz : Abykxjbx: 3, cybiv jvpbv Abykxjbx 2.1, 2.2 Ges mswkøó D`vniY exrmwyz : Abykxjbx: 5.1, 5.2; 6.1, 6.2, cybiv jvpbv Abykxjbx 7 Ges mswkøó D`vniY R vwgwz : 9g I 10g Aa vq Ges 8g Aa v qi m úv` (5 n Z 7) Abykxjbx: 9, 10.1, 10.2,10.3, 8.2 (8 n Z 13 bs) cwimsl vb : Abykxjbx 11 (13 _ K 18) Ges mswkøó D`vniY wbe vpwb cixÿv 2016 mv ji R.Gm.wm. cixÿvi m ú~y cvv m~wp 1g ce, 2q ce Ges wbe vpwb cixÿvi b ^i wefvrb 1 m Rbkxj cª kœi Rb 60 b ^i Ges eûwbe vpwb cö kœi Rb 40 b ^i eivï Av Q 2 cöwzwu m Rbkxj cö kœi b ^i 10 Ges cöwzwu eûwbe vpwb cö kœi b ^i 1 3 m Rbkxj cökœ: * 9wU m Rbkxj cªkœ _vk e, 6wU cö kœi DËi w` Z n e * cvwumwyz Ask n Z 2wU, exrmwyz Ask n Z 3wU, R vwgwz Ask n Z 3wU Ges cwimsl vb Ask n Z 1wU K i cökœ _vk e * cö Z K Ask n Z b~ bzg 1wU K i gvu 6wU cö kœi DËi w` Z n e 4 eûwbev Pwb cökœ: * cvwumwyz Ask _ K 10-12wU, exrmwyz Ask _ K 10-15wU, R vwgwz Ask _ K 10-15wU Ges cwimsl vb Ask _ K 2-4wU K i gvu 40wU cökœ _vk e mekqwu cö kœi DËi w` Z n e * cökœc Î wpšíb `ÿzvi wewfbœ Í ii kzkiv nvi n e: mnr Íi- 30%, ga g Íi-50% Ges KwVb Íi 20% * cökœc Î wzb ai bi (mvaviy, eûc`x mgvwßm~pk Ges Awfbœ Z_ wfwëk) eû wbe vpwb cökœ _vk e welq t evsjv `k I wek^ cwipq 1g ce cixÿv: Aa vq 1g : Jcwb ewkk hym I evsjvi ^vaxbzv msmövg Aa vq 2q : evsjv ` ki gyw³hy Aa vq 3q : evsjv ` ki mvs wzk cwiez b I Dbœqb Aa vq 4_ : Jcwb ewkk hy Mi cözœzvwë K HwZn Aa vq 5g : mvgvwrkxkiy I Dbœqb Aa vq 6ô : evsjv ` ki A_ bxwz Aa vq 7g : evsjv ` k ivóª I mikvi e e v 2q ce cixÿvt Aa vq 8g : evsjv ` ki `y h vm Aa vq 9g : evsjv ` ki RbmsL v I Dbœqb Aa vq 10g : evsjv ` ki mvgvwrk mgm v Aa vq 11Zg : evsjv ` ki ÿz`ª b - Mvôx Aa vq 12Zg : evsjv ` ki cövk wzk m ú` Aa vq 13Zg : evsjv ` ki Ges wewfbœ AvÂwjK ms v I AvšÍR vwzk mn hvmx ms v wbe vpwb cixÿv : evw wba vwiz m ú~y wm jevm gvbeèb(mkj c e i Rb wba vwiz)t m Rbkxj cökœ (9wU _ K 6wU) eûwbe vpbx cökœ (40wU) 10 6 = 60 b ^i 1 40 = 40 b ^i me gvu = 100 b ^i welq t Z_ I hvmv hvm cöhyw³ cvv eb t RvZxq wk vµg I cvv cȳ ÍK evw KZ K cöyxz köwy Afxÿv-1 : Aa vq- 1 (m ú~y ) cö_g ce cix v Aa vq : 1 (m ú~y ) Aa vq : 2 (cvv 8 _ K 11 ch ší) Aa vq : 4 e envwik : Aa vq-4 wøzxq ce cix v Aa vq : 2 (cvv 12 _ K 14 ch ší) Aa vq : 3 (m ú~y ) Aa vq : 4 Aa vq : 5 e envwik : Aa vq-4 (cybiv jvpbv) I Aa vq -5 Classs-8 (Page-15) Classs-8 (Page-16)

9 gvbe Ub : köwy Afxÿvi Rb 1 msw ß cökœ (2wU) 5 2 = 10 2 eûwbe vpbx (10wU) 1 10 = 10 gvu = 20 gvbe Ub : mkj ce I wbe vpbx cix vi Rb 1 msw ß cökœ (8wU _ K 5wUi DËi w` Z n e) 5 5 = 25 2 eûwbe vpbx (25wU) 1 25 = 25 gvu = 50 welq- Pviæ I KviæKjv RvZxq wkÿvµg I cvv cȳ ÍK evw, XvKv 1g mvgwqk: ZË xq Ask : Z Zxq Aa vq : wel vz wkíx I wkíkg cö_g Aa vq : evsjv ` ki cövpxb wkíkjv I HwZ n i cwipq AsKb Ask : 1 gyw³hy i ` k 2 MÖv gi ` k (kirkvj) 3 cvwb Avbvi ` k 4 MÖvgxb Rxeb bkkv : 1 R vwgwzk AvK wz 2 cövk wzk AvK wz cövk wbe vpbx/aa -evwl K cixÿv : ZË xq Ask : lô Aa vq : welqwfwëk Qwe I bkkv AsKb mßg Aa vq : wewfbœ gva gi wkíkg AsKb Ask : 1 Miæi Mvwo w` q ` k 2 avb KvUvi ` k 3 b`xi cök wz 4 emšíkvj bkkv : 1 R vwgwzk AvK wz 2 cövk wzk AvK wz wbe vpbx/evwl K cixÿv t m ú~y wm jevm Aa -evwl K I evwl K cixÿvi gvbeèb : (K) cö kœi mswÿß DËi = 10 b ^i (L) eûwbe vpwb cökœ = 15 b ^i (M) ` k Gu K is Kiv = 15 b ^i (N) Avíbv AsKb = 10 b ^i gvu = 50 b ^i welq : K wl wk v cvv eb : RvZxq, wk vµg I cvv cȳ K evw KZ K cöyxz: welq c~y gvb cö kœi gvb e Ub K wl wk v 100 m Rbkxj cö kœi Rb 60 b ^i Ges eûwbe vpbx cö kœi 40 b ^i _vk e cöwzwu m Rbkxj cö kœi b ^i 10 Ges cöwzwu eû wbe vpbx cö kœi b ^i 1 m Rbkxj cökœt 9 wu cökœ _vk e, 6 wu cö kœi DËi w` Z n e eûwbe vpbx cökœt 40wU eûwbe vpbx cökœ _vk e me KqwU cö kœi DËi w` Z n e wet`ªt welqwu Z Kvb MÖ c wefvrb _vk e bv cövk wbe vpbx-cix v evw eb qi m ú~y wm jevm cö kœi aviv I gvbe Ub ev W i wbqg Abyhvqx wbe vpbx cix vt evw eb qi m ú~y wm jevm cö kœi aviv I gvbe Ub ev W i wbqg Abyhvqx welq: Mvn weávb cvv eb: RvZxq wk vµg I cvv cȳ ÍK evw KZ K cöyxz welq c~y gvb cö kœi gvb e Ub Mvn weávb 100 m Rbkxj cökœ: m Rbkxj cö kœi Rb 60 b ^i Ges eûwbe vpbx cö kœi Rb 40 b ^i _vk e cöwzwu m Rbkxj cö kœi b ^i 10 Ges cöwzwu eûwbe vpbx cö kœi gvb-1 m Rbkxj cökœ: 9wU cökœ _vk e 6wU cö kœi DËi w` Z n e eûwbe vpbx cökœ: 40wU eûwbe vpbx cökœ _vk e me KqwU cö kœi DËi w` Z n e we:`ª: welqwu Z Kvb MÖ c wefvrb _vk e bv m ú~b wm jevm n Z m Rbkxj cökœ I eûwbe vpbx cökœ _vk e 1g ce cix v K wefvm: Aa vq cö_g I wøzxq L wefvm: Aa vq PZz_ I câg M wefvm: Aa vq Aóg I beg Classs-8 (Page-17) Classs-8 (Page-18)

10 N wefvm: Aa vq Øv`k I Î qv`k cövk wbe vpbx cix v K wefvm: Aa vq Z Zxq L wefvm: Aa vq ló I mßg M wefvm: Aa vq `kg I GKv`k N wefvm: Aa vq PZz` k I câ`k we:`ª: 1g mvgwqk cix vi wm jevm cybiv jvpbv wbev Pbx : evw eb qi m ú~y wm jevm (cö kœi aviv I gvbe Ub ev W i wbqg Abyhvqx) welq: kvixwik wk v I ^v c~y gvb : 50 wm jevm : 1g ce cix v Aa vq Aa v qi welq cö_g kixipp v I mȳ Rxeb Z Zxq ^v weávb cwiwpwz I ^v mev PZz_ Avgv `i Rxe b cörbb ^v câg Rxe bi Rb Ljvayjv cvv (e vwwg Ub, ev Uej, n vûej, nwk ) wm jevm : cövk wbe vpbx I wbe vpbx cix v- m ú~y eb gvbe Ub: Aa evwl K, cövk wbe vpbx I wbe vpbx cix v eûwbe vpbx 20wU 1^20 = 20 cö kœvëi 5 wu _ K 3wU (K wefvm-1g, 2q I 5g Aa vq) 5^3 = 15 cö kœvëi 5 wu _ K 3wU (L wefvm-3q I 4_ Aa vq) 5^3 = 15 me gvu = 50 welq: weávb 2q ce /cövk- wbe vpwb cixÿv 4_ Aa vq : Dw `i eske w 5g Aa vq : mgš^q I wb:miy 10 Aa vq : A ø, ÿvik I jey 11 Aa vq : Av jv 12 Aa vq : gnvkvk I DcMÖn 13 Aa vq : Lv` I cywó 14 Aa vq : cwi ek I ev Zš wbe vpwb cixÿv m ú~y wm jevm 1g ce, cövk-wbe vpwb I wbe vpwb cixÿvi cö kœi aviv I gvbeèb: 1 m Rbkxj cökœ : (9wU _ K 6wU) : 10 6 = 60 b ^i 2 eûwbe vpbx cökœ : (40 wu) : 1 40 = 40 b ^i me gvu = 100 b ^i welq: Kg I RxebgyLx wkÿv 1g ce cixÿv : 1g Aa vq : gav, KvwqK kög I AvZ AbymÜvb c ôv : (1-35) 2q Aa vq : Avgv `i KvR : h jv A b iv K i c ôv : (36-44) cövk wbe vpbx/aa -evwl K cixÿv : 2q Aa vq : Avgv `i KvR : h jv A b iv K i c ôv : (45-49) 3q Aa vq : Avgv `i wkÿv I KvR c ôv : (50-80) wbe vpbx /evwl K cixÿv : m ú~y wm jevm 1g ce, cövk wbe vpbx/aa -evwl K I wbe vpbx/evwl K cixÿvi gvbe Ub ( ev W i wbqgvbyhvqx) : 1 m Rbkxj cökœ-5wu _vk e, h Kvb 3wU cö kœi DËi w` Z n e 10 3 = 30 2 eûwbe vpbx cökœ-20wu cökœ _vk e me jv cö kœi DËi w` Z n e 01 20= 20 gvu = 50 eb qi bvg- weávb ( evw KZ K cökvwkz) 1g ce cixÿv 1g Aa vq : cövwyrm Zi köwy web vm 2q Aa vq : Rx ei e w I eskmwz 3q Aa vq : e vcb, Awf ªeY I cö ^`b 6ô Aa vq : cigvyyi MVb 7g Aa vq : c w_ex I gnvkl 8g Aa vq : ivmvqwbk wewµqv 9g Aa vq : ezbx I Pj we`ÿ r Classs-8 (Page-19) Classs-8 (Page-20)