Toán Lớp 5 (Quyển 1) - Archimedes Books

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� 3 MQt khu VU'On hlnh [( nh�t c6 vi Ia 28m. bang- e 4 .................................................................. 5 a) tlch chU' KIENTHUC NHO . . .. . . . . . . .. . .... . . . . . . . 5 � d6 de ....................................................................................................................................................... 6............... .... ......... . .. ........ ..... .. .. .............. .. .. . . .... ...... .. ...... . . b) Nguoi ta sudL;Jng di�ntfch khu vu'On trong rau Biet moi met vu6ng trong rau . . thu ho�ch auqc 2kg rau. Hoi thu ho9ch dtJQ'c tat ca bao nhieu ki-16-gam rau tren KIENTHUC CANGHI NHO . . ... .. . . . . 1 3 khu vlion a6? ... .. ..... ......... ............. .. .. . .......................... ............... ................. .... cAc Dl:\NG BAI Tf:,..P.. . . .. .. . . .. :;;(. . . . . . 1 3 ... ... . ... . . ........ . . ... .... . ...... ... ... ...... ... ......... . . ..................... . .... ................. . I 1 D9ng 1 . V1e,.�t ph"an soA! d Lf' T • d0 1 9ng hon so vaA' ' nguQCI "' 91 .................................................... 3 . Dt?ng 2. Cqng, trv hon so . . ... .. . . . .. . . . . . . 13 ....... ...... . . .. .. . .. . .... .................. ......... ... ........ ... ... ....... ..... ..... . D9ng 3. Nhan, chia -hon- so . . . . . . . . ... .. .. . . . 14 ....... ... ... ... ....... ....... ....... ........ . ......... . .......... .. . .. ....4> ••••••••• LUY�N TAP . . . . . ... � . . . . . 1 5 ............... ....... .... .................. . ............. ......... .. ..... .... ......... ... . .. ... ... ................... . . ...... TUAN 3. ON T�P CAC BAI TOAN VE PHAN SO . .. 18 .............................. ..... ................................ L TIM GIATRI PHAN SO CUA MQT SO CHO TRUde . ... . . . ... . .. . .. .... 1 8 ...... .. . ...... .. .. .... .... . . ........ .... If. TlM MQT SO KHI BIET GIA TR! MOT PHAN SO CUA s6 D0 . . :21 ........... ........ ................... Ill. Tl so CUA HAl so . . . . .. . . . . . .. . . 23 ..... . ... . .. .. .. ....... .............. . . .. ... ........... . ..... ... ..... . ........................ .... ....... TUAN� 4. LUY._I;N T-�p- -- . .. .. . .. . . . . .. . . . 25 ............... ..... .............. .. . .... ... .... . ......._... .. ............. ......... ... . : TUAN 5.6. Ti L� THU�N- TiLe NGHICH ............................................................................. ..,.............31 Bai 2. M(>t.I C/p hQc c6 sO b;;tn nam bi.ing sO b<;�n nil Neu them 2 bgn nam va 5 b<;�n nCI BAI 1. roAN Ti L�THUAN . . . . . -............................................................31 ... . ..... ..... ...... ...... ....... .. ...... ... .. thl ti so nam va nu Ia 0,72. Tfn h so hqc sinh lop d6. II. BAI TOAN TfLe NGH!CH 34 . . �········ . . ...............n . ................ ......................... ... ............................... .... Ill. BAI TOAN Ti l� KEP ............38 h<••••••«•••••••••••••••••••••••••••••••••••••••••••••••••••••--•••-.••••• ..•••••,.••••••••u._,.••••, , TUAN 7. HAl Hli;U SO� -'"" A"' . .. . . . . 43 .. ................................. .......................... . ........ IIfi ..... ... ........................ KIEN THUC CAN GHI NHd . . . . 43 ....�... ....................... .............. . ............ .. ..... ...................... .... ............... lUYt;'N TAP 44 .... ............................................................................................................. ............................ ruAN s. HAl Ti s6 . . . . . . . . . 49 ... ............. .....·.... ............... ............... .... .............................. ..... ......... KIEN THIJC CAN GHI NHd . . . . . .,� 49 ...H.......... ............... ...... ..H••••••••••. . .... ....................... •••••••••••••••••••••••• CACD�NGBAITAP ......,, .. , .. ,,.,,,,..,,,,,,,,.,,,,,,,,,,,,, .. ,,,,.,,.,,.,,.,,,,,,.,,.,,,,,,,,.. ,.,. ....... ,n••••>*•ao••••••••••••••••••••"••••••••••• t,. . D;;Jng 1 B'.a1 toan ha1 1 so co; tong kh,.ong thay d ,.�Ol· . 4. 9 . , . "' Jl... .. .... ............. .......... ..............u................. · D;;Jng 2. B�li toan haiti so.,c6 hi�u kh6ng doi . . . . . . . 50 .............. .. ... .,�............ ....... ....... ........ ............ LUY�N T�p . . . . . . . . . . . . . . .. . . . S0 ..... ...... . . . ......... ... ..... .... ... . . ..H..... .u.. .. ........ ... ......... . . . . . . .. . . ... ... .n... .... .. . ..... ....... ......

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ARCHIMEDES SCHOOL Toan s -Quyen 1 TUAN 9.1>1:\1 SO H6A TOAN CO L<11 VAN..................................................................60 PHlEU cu6t ruAN 9 KIEN THUC CAN GHI NHO ................................................................................................................. 60 LUY�N T�p 61 PHAN 1- TRAc NGHI�M: H<;>c sinh chi ghiadp so, khong can giai thfch . . ,...... "········ ....... ...... ............................................................................................................. . PHIEU CU61 TUAN 1 .. .. ......... ........ . ............ ......................... ................ .....................65 TRALOI . . . . . _ . . . - . TUAN. . PHIEU� K � . . . . CUOI 2 .................. .......................................................... .. ......... ........ . 67 . . ...!" .... . PHIEU CUQ,J TUANj{ 3 . . . . . . . . .. .. 69 ...... ....... . . ....... ...... ...... ........... .. ...... .......... ._............. .............. PHIEU cu·ol TOAN 4 ....................................... . . . , . . . . . . , , th�p phan lon trong ... .. . ..... ... .. ... ,..........................•... Bai 2. llm so nhat cac so sau: 3,25; 3,095; . PH.IEU CUOI TUAN� ,./'· � . . �·······=······················...································..····7·3 5 ... ........... . ..... .......... 3,199;3,31 . .. .. PHIEU.lilt(': CUOIA' TUANA.. 6............. .............. . .............. .....-......................................................75 .. . . . . PHteu ·cu61 TUAN 1 . . . 77 .............................................. ...................................... ...... ...... PH Itt" . -.'I TUAN.,:0:. lEU CUO 8:.. ............ .. ... . ............ . ..........41.········�···········-······-·�-....................79 .. . . . . . . , TUAN·� PHIEU CUOI.K 9-············�···�··········�·,···�···-············,·······················-·················"······81 Bai 4. Tlm hai s6 tlf nhien lien tiep a va b, biet: a< 20,21 < b. Bai5. Tfnh: A=6x2+ 6:15. 7 14 7 9 Bid 6.. TI so giCta hai soIa 0,4. So Ion hon so be 45 adn v!. Hai so do lit Bai 7. 8 nguoi lam trong h ai ngay aVc;tc 64 san pham. Hoi trong 5 ngaythl9 ngu'ai lam du'Qc bao nhh�u san pham? (Nang suat lam vi�c cua moi nglfoi nhu' nhau) ci;lng 13 ! Biti s; Trung blnh cUa ba sO . SO thU ba b3ng trung blnh cong cua so .thU' n. . hat va so thu haL 56 thU' nh�h han so thu hal _:!_ . .4 . Tim ba so do. (Vietdap so du6i d�ng so th�p phan). Bai 9. M9t so chia het cho 6 va B. Tlm so a6 biet thucrng khi chia so d6 cho 6 Ion han thtldng khi chia so d6 cho 8 Ia 4 ddn vi. . ' . b'tet: 1 1 1 1 6 8...a1 1 0. 11tmsottlnAI . h•1enA y, AI - +.-+ - + ... + - =,..._. • . 6 -12 20 90 y .41 Rise above oneself Archimedes School and grasp the world AschooLedu.vn ·

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So hQc sinh bang- so 3 sinh. sinh so so h<;>c sinh Cho A, c Ia cac phan s6. Tinh chat giao hoan cua phep cqng, phep nhan: • A+B=B+A AxB=BxA • Tinh chat ket hqp cua phep c¢ng/ phep nhan: A + B + C = A + (B + C) = (A + C) + B A X B X C = A X (B X C} = (A X C) X B • M¢t phan so tru di m¢t tong (hi�u) cac phan so: A - (B+ C) A - B - C = A - (B - C) A - B + C = • M9t phan so chia cho m9t tfch (thu'ong) cac phan so: A : (B x C) = A : B : C ! neu A : (B : C) A : B x C Bili 2. Tim phan s6 c6 giil trj biing . Bh�t cling bOt 0 tli s6 va mllu s6 clta = • Nhan m9t phan s6 v6'i m9t tong (hi$u) cac phan s6: Phan so d6 di 25 dan vi thl. ta duoc. phan so mai c6 gia tri bang. !Q. C) 13 A x (B+ = A x B + Ax C A x (B - C) A x B - A X C = Tinh chat'phan so bang nhau: Neu � =!: (b; d khac O) th1 a x d b c (tich cheo) • = x . b d • So sanh phan so (cung mau,cung hi, trung gian, phan hdn1 phan btJ; quydong mau, quy dong tuf ... ). Vf dtJ. So sanh cac c�p phan s6 sau (giidthkh each lam). �.4 �; 64 c) .:!2.;34 .!3_.� a) b) d) 11 5 I 7 62 63 24 39 '12

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ARCHIMEDES SCHOOL Toan s- Quyen 1 LUY�N T�P PH lEU CUOI TUAN 8� ,.., A Bai 1 . Tinh: s6, PHAN 1- TRAC NGHI�M: HQc sinh chi ghi ddp khong can giai thfch 3 2 1 3 11 4 7 aEBAI TRA LOI a) -'-+'-+-+- b)-�-+- 4 5 4 5 9 3 9 Biti 1 . Bien so thich hQ'p vao cho trong: 2345m2 = ha __ 4 2 1 1 21 1 3 Bai 3. Tfnh: A=2�+3�-13 +41_ d) -.-75 19 1 6 7 9 7 9 c) --.:..--+--- . + -. +-.-+-+ - +-. . 5 3 5 3 100 25 34 4 25 34 �'"'2! sai 4. 11m a rOi vi�t k�t qua d Lidi d�ng sO th�p phan: a X5 Bai s. lim so tv., nhh�n x, biet: x < b < 1,05 va b Ia s6 tu nhien. . . . • . -(�+�·) -(2. _i_'J Bai 6.. Bac An tr6ng ch.JQ'c� 192 cay gam chanh va .cam. Trong a6 e) 16 23 f) _ 21. 6 21 9 9 15 s6 cfiy chanh b�ng sO cay cam. Bile An tr6ng duqc sO cay cam Ia: Bai 7. M<)thqptac xa dlj ajnh trong rau s�ch tren di�n tich 1ha 500m2• ch.tqc ! h<;1p Nguoi ta da \rong di�n tfch <16. Hoi tac xa con l�i bao nhieu met vu6ng oat chuatrong rau? Bai 8. Anh 'chia k�o cho cac em. Neu moi em au'Q'c 5 cai thi thua 3 cai. Bili 2� Tinh: Neu mor em· du'<Jc 7 r;ai th1 thieu 5 cai. Hoi anh c6 bao nhieu cai k�o? 4 5 4 1 8 12 12 2 . 12 Bai 9. Tim hai so tlf nhh�n, biet rang neu lay so IO'n chia cho so beta a) -x-+-x- . b) x + x - - - --- chia 7 6 7 6 5 17 17 5 17 se 9'l.(<;1� thudng Ia 2 va so dv Ia 10. Con neu lay so be cho s6 Ian se du'<;�c thu'dng viet du6i d�ng so th�p phan Ia 0,375. , . 2 . 4 6 8 18 20 Biti 10. Tanh: B=-. - --. - + -- - -- + ... +·--'--- 1x3 3x5 5x7 7x9 17x19 ·19x21 Rise above oneself Archimedes School and grasp the world Aschool,.edu..vn

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5 2 4 7 16 15 c) -x-x-x- - x- : - x----···- h 0' 4 7 5 2 r¢ng ta cu 5 du'<!c 30kg ng6. ca manh thu bao n t;;\ ng6? 2 2 9 b) yx---=- 3 3 12 � B ai 2. Ba b<;ln Hil, HOng, f>ilo c6 t3t d 420 000 dOng. Biet sO tien cUa Hil biing Bai 4.. Tim so tv nhien Y� biet: 3_ Hong i �< y <� 2 1 3 so tien cua va ba ng s6 tien cua Dao. Hoi Hong c6 bao nhieu tien? a) b) < < - - - 5 4 6 8 4 1 3 y 4 Bid 5.. So sanh cac c�p phan so sau (giai thfch each lam). a) 1 8 2 6 8 - va-� b) va' - - 45 5 1 9 23

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ARCHIMEDES SCHOOL Toai1 5 Quyen 1 - C) 15 va� 20 d) � va 23 PHlEU CU61 TUAN 7 - -28 12 43 39 PHAN 1- TRAC NGHI�M: HQc sinh chl ghi aap so, khong can giai thfch f>E BAI TRALOI Bai 1.. Vit?t so th�p phan gom: Muai ddn vj va ba mlidi larn pha n tram. e) 2019 va 2020 ·f) 19 va-17 ' 2020 2021 - 14 12 Bai 2. Gia trj cua chu so 4 trong so 0,3469 Ia: Bai 3. Phan so .� vietthanh so tha� .phan Ia� 125 .� • � 1 1 1 B'aa4. 11m Y1 b"''1et: y+- = 3-xl- 2 4 5 , Bai 6.. So sanh cac c�p phan s6 -sau (giai thfch each lam). Bai s Tlnh r6i viet ket qua du6'i da.ng so thap·. phan� 4 2 +�x3_ .. 7 x . 1+3+5+7+ +99 8 2 +4+ +98 5 7 5 A = ... va.. ... 50 49 Bai 6. Gia tr! nho nhat cua so tlf nhien n thoa man n < 11,89 < n + 41a: Bid 7. Tlnh: A= 2 + 5 + 8 + 11 + 14 + + 38 . . . Bai 8. Ch! chia k�o cho cac em. Neu chia moi em 5 chiec thl thU'a 2 chh?c. Neu chia moi em 6 chiec thl thiE�u 1 chiec. Hoi c6 bao nhieu chiec k�o va =54xl07-53 .bao nhieu emOUQ'C chia k�o? 135x269-133 C va D� 53x107 +54 134x269+ 135 Bid 9. Co gi<�o chia va cho hQc sinh. Neu chia moi b�n 16quyen vo thl thua 12 quy�n vf:J. Neu chia moi bqn 18 quyen VO thl thua 4 quyen vo. Hoi co giao c6 bao nhieu quyen va va bao nhieu h<;>e sinh duqc chia vi:J? Bai 1 o.. 56 th�p phan be nhat, c6 cac chu so khac nhau sao cho tong cac chu so bang 61a.: Rise above oneself Archimedes School 77 and grasp the world AschooLedu.vn

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15 8+9 lf a) 8 Hoi -2011 c6 5 nguai den them. to se h sdm h may 1x3x5+2x6x10+3x9x15 c) 3x 5x12+6x10x24+ 9x15x36 Bid 2. Co giao chia 45 quyenva cho 4 h9c sinh. Neu b�n thu nhat d\tgcthem2 quyen, bc;tn th(( hai bOt di 2 quyen, bC?n thu ba tang so vo len gap doi, b(;ln thu tu' giam so va di hai lan thl so vo cua bon bC;ln bang nhau. Hoi lut dau moi bC;ln c6 bao nhieu quyen vo? � nhieu Bai s. MQt ella hang ngay thlr nhtit ban duqc s6 g;:�o, ngay thlr hai ban han thU' � phtin ngay nhiit s6 9'.10. HOi ca hai ngay clra h.3ng 06 ban dl1t;1c baa nhil!u s6 g;;to?

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ARCHIMEDES SCHOOL Toan s- Quyen 1 ·Bai 9.. Mot chh�c khan h1nh chu nhat co chieu dai .:!2m, chieu ang kem chieu dai _!_ PHlEU CU61 TUAN 6 . . r m. 12 . 12 Tlnh chu viva di�n tfch cua chit�c khan d6. PHAN I TRAC NGHI�M: H9csinh chlghi Clap sii khong can giai thfch - BEBAI TRA LOI Bai 1 ,. Bien so thich h<Jp vao cho trong: 4ha 3m2= m2 __ Bili 2. Bien so thfch hqp vao cho trong: 4t9 sokg .:.. 2 t9 3 yen = kg __ Bai 3. Tinh: A = 134 +235+ 1608-35+66 Biti 4.. Bien dau (>; =; <) thfch h�p vao 6 tr6ng: Bili neu lily � : 1km2 50dam2 D 1OSha 10. Tim mQt phan s6, biet rang phcln s6 d6 c(>ng vOi r6i cQng tiep thl avac. ket qua Ia �- Bai 5. Tfnh: B=,_-,·+-X·--'-1-2 1 9 . 1 16 .. 3 3 4 12 Bid 6. M9t khu dathlnh chunh�t c6 chieu dai 250m, chh�u r<?ng 200m. Di$n tich khu dat Ia bao nhieu hec-ta? Bai 7. M(>t dan vj b¢ dQi chuan bi h.tong thljc au cho 1200 nguoi an Bid 11. Tong chieu dai cua ba manh vai Ia 65m. Tong chieu dai cua manh vai thu trong 3 ngay. Nhu'ng sau do ddn v! co 480 nguoi den them. Hoi 5 12 do du dung trong sO Iuong thljc bao nhieu ngay? nhat va manh vai thu hai Ia 25 m. Tong chieu dai cua manh vai thu hai va ma nh vai 6 M9t Bai 8. to c6 8 cong nhan lam trong 4 gia duqc l20 san pham. Hoi thu ba Ia !2_ m. Tfnh chieu dai moi manh vaL lam trong 6 giO' du<;tc bao nhieu san pham? (Mac la 4 10 cong nhan m cua moi ngu'oi nhtt nhau) Bai 9. Tim y, biet: (y- s)- (y + s) + y x s- y: s s = Bid 1o. Hai voi n u6'c cung chay vao be thl sau 1 gio 12 phut se day be . . Neu m9t mlnh voi thu nhat chay thl sau 2 gict'se day be. Hoi m¢t mlnh voi thu hai chay thl may gio se day be? Rise above oneself Archimedes School and grasp the world Aschool.edu.vn

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6 5 b) 14 7 5 25 5 3 9 6 a) yx-+yx-=2025 yx--yx-+yx-= 2 B=---:-+-x- 1 1 11 9 9 9 18 4 2 4 27 1 Tfnh: 1 1 1 1 1 A =-+-+-+-+- 2 6 12 20 30 B a i 2. Lap SA tham gia tuan le "Ke ho�ch nho". Bh�t rang cu 12 h9c sinhthi thu gom duqc 48kg giay V'-:Jn. Neu moi hQC sinh lop SA thu gom them du'Q'C2kg -giay Vl;1n thl ca lop thu gom du'Q'c tat ca 240kg giay v�n. Hoi lop SA hu duqc bao nhh�u ki-16-gam 2 2 2 2 t B +-- = -1x3 + -- + --+ ... 19x21 vl;Jn? 3 x5 Sx7 giay 3 4 5 6 7 ( = -- + -- + + + --- 2x5 Sx9 9x14 14x20 20x27

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ARCHIMEDES SCHOOL Toan 5- Quyen 1 0= 4 - 8 + 12 - 16 +--20 · PHIEU CU61 TUAN 5 - -- -- -- 1x3 3x5 5x7 7x9 9x11 PHAN 1 - TRAC NGHI�M: HQc sinh chlghi ddp s6, khong can giai thfch DEBAI TRALOI Bai 1. f)h�n s6 thich helP vao cho tr6ng: 12dam2 25m2= dam2 __ -1- 1_ _1_ 1 Bai 2. Bien phan so thfch hqp vao cho trong: 112hm2= km2 E= +_ + + ... + __ 1x3 3x5 5x7 19x21 �=-3 8"'at 3 T111m y, b•tet:,.r yx. 2 1· " • . 3 4 bieu A=(_!_+ � :2�)x(3 �) Bai 4 Tlnh gia tri cua. thac: 4 + .. 4 2 3 . s 5 Bai 5.. Chu vi hlnh vuong c6 di$n tfch 25cm2 Ia: = 1 1 1 1 1 1 1 Bid 6.. 32 hqc inh lop sA tham giatr6ng cay. Biet cu bon b9nthl trong F -+-+-+-+-+-+ s - 2 4 8 16 32 64 128 duqc 6 cay. Hoi lop SA trong chiqc tat ca bao nhieu cay? Biti 7. M<)t thU'a ru9ng cu 100m2 thl thu ho9ch au'�c 60kg th6c. Hoi thua ruqng co di�n tfch 2ha thi thu ho�ch dugc bao nhieu t� th6c? Bili 8. C6 s ngudi lam xong m(>t cong vi�c trong 12 ngay. Hoi muon lam cong vi�c d6 trong 4 ngaythl can baonhh�u ngvoi? (Biet rang muc 1 1 1 1 1 lam cua moi ngu'O'i nhv nhau) G=-+-+-+-+- 3 9 2 7 81 243 Bili 9. C6 8 ngvoi lam xong m9t cong vi�c trong 6 ngay. Hoi muon lam d6 trong ngay th can bao f xong cong vi�c 4 l nhieu ngu'oi? (Bie rang muc lam cua moi ngu'di nhu nhau) Bai 1 0. Sonho nhat cO bay chu so khac nhau chia het cho 9 h\: 121 above oneself Archimedes School I 73 Rise and grasp the world. Aschool.edu.vn

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1 1 1 1 1 y, y+-+-+ +-+-+-=1 2 4 8 16 32 64 b gQi 1. Vai G�C so tlj nhien a, bl c khac 0 va b <c. So co d�ng a Ia hon so c (dQC I a: a va b phan c). Gom phan nguyen va phan phan so voi phan phan s6 nh6 han 1 . BAI D�ng 1. Vh�t phan so du'oi d�ng hon • each chuyen phan s6 th anh han so: vr df:l. ?_=? Ta c6:7: 4 = 1 (du 3). Vay ?_=1�. 4 - 4 4 • each chuyen han s6 thanh phan so: 12_= 4x1+3 =?_. Vidu. . 4 4 4 Bai 2.. Tim m¢t phan so, biet rang neu lay mau so cua phan so d6 chia cho 4 va D�ng 2. Cqng, tru hon so gH! nguyen tu so thl dV'1c m9t phan s6 mai on hdn phan so ban aau Khi c{>ng ho�c trl.i hai hon so ta c6 the viet chung duai d9ng phan so roi th�Jc hi�n I 9• 8 phep c¢ng ho�c tn1 hai phan so. Ta cung c6 the cqng h �c tru phan nguyen vai nhau, o c¢ng ho�c tru phan phan so vCii nhau. Vi dv 1. Tinh:: a) 2�+4_2_ 5 3 each 1: each 2; 22. +4_2_=_!i+_:!i 39+65 104=6]_i 3 +42_ =(2+4)+(�+2_)=6+ 9+5 =6� 5 = 15 2 . 3 5 3 15 15 5 3 5 3 15 15 2 1 b) 2--1- 3 7 each 1: 56- each2 1 (2 ) 22- 1=8-�= = = 11 ( ) 1 14�3 =1-11 2 --1-= 2-1 + --- =1+ 3 7 3 7 21 21 3· 7 3 7 21 ' �

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ARCHIMEDES SCHOOL Toan 5- Quyen 1 Chu y: Neu phan phan so cua so bf tru nho hdn phon phan sO cua s6 trtl, ta phai rut PHIEU CU61 TUAN 4 m(Jtddn vj a phon nguyen cua s6 bi trude them vao phiin phan so. .. . 1 1 ·2 5 7 PHAN 1 - TRAC NGHI�M: HQCSinh chi ghi ddp SO, kh6ng cangiaithfch VJdu2. . 12 5 � 8--3-=8-· -3-=7--3-=4-. . 5 2 10 10 10 10 10 TRALC11 OE BAI Vi dv 3. Tfnh: Bid 1. Han so 2� chuyen thanh phan so auqc ket qua la: 8 a) 3 4 +1..!. b) 7_!_-5� c) s-26 9 6 8 4 7 Bai 2. Tlnh: A �}__x 4 1_! x 5 7 2 Bal3.... · n1m Y1 b."' ·tet: yx1-=3 2-:1 3-3 (3xy-17 ) 4(.. 5 Bili 4.. nm YJ blet;•N' X . 1 1 +8 +16 1 1 J= 15 2 + 4 13 Bai 5. Mf; he1n con 24 tuoi. Biet 5 nam sau tong so tuoi cua hai m.; con Ia 52 tuoi. Tfnh tuoi cua hai m� con hi�n nay. Bai 6 Vuan hoa cua truO'ng An�Ia m{>t hlnh chu nh�t c6 chu vi .. bang 160m va chieu rQng bang chieu dai. Biet ngttOi ta dUng Nhan, -1 dien tfch vu'on de lam loi. . dL Dien tich trong hoa la: D�ng 3. chia hon so 24 ·.. . . Muon nhan ho�c chia hai hon so ta viet hai han so d6 dvai d�ng phan so rei d9c m(>t dqc dugc Bai 7.i Linh cuon sach. Ngay thudttqc% nhat Linh thlfc hi$n phep nhan ho�c chia hai phan so. th Linh sO trang. Ngily U hai d9c sO trang cOn l;;ti va ngfly VfdtJ4. i h 2 4 thu ba L n OQC trang nfi'a th1 vl!a het. 56 trang cua cuon sach d61a: a) 5_!_x3i=.!.!x-'!2= 1lx15 165 _!]_I Bai 8.. Tong cua so thu nhat va so thu hai Ia tong cua so thu hai 2 4 2 4 2x4 8 15 1 b� ��tong cua 2 b) 6_!_: 4�=�: = 9 x_2_=� va so thu Ia so thu nhat va so thu ba Ia 3. Tim 38 12 20 3 9 3 9 3 38 2 d6. ba so Vi dv 5. Tinh: Bili 9. Hai thung dVng 357 Ht dau. Neu rot lit dau tU' thung Ion 1 25 5 1 3 2 sang thung be th1 so lit dau <1thung be bang solft dau Cithung lan. a) 3-xl� b) 2x4- c) 2-:5-' . . 3 9 8 3 4 3 4 Tinh s6 dau o thung be luc aau. (1-�-.Jx(1-�Jx(1-__!_Jx (.1--1 ·J· Bai 1 o. Tfnh: B = x ... ' 2 3 4 100 . Rise above oneself Archimedes School and grasp the world Aschool.edu.vn

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ta d 1 16 2 3 3 -5_2_ n ae n tfch 3-+ b) 3 5 7 8 4 phan san. 4 4 1 c) 3-x2- d) 7 2 : 9 5 3 4 Bid 15.. llm X, biet: 2 1 4 1 8 a) x+-= 2- b) 3--X=- Bai 2.. M¢t tu sach c6 hai ngan, trong d6 sO. stkh ngan tren nhieu han so sach ngan 3 2 5 5 duoi Ia 4 quyen. Neu chuyen tu ngan tren xuong ngan du6'i 8 quyen thl so sach ngan tren bang !_ so sach ngan du6'i. Tinh so sach moi ngan luc dau. 11 -� = 2_ 2 2 1 c) x:3-1 2 d) xx3--1-=2- 15 4 4 3 3 3 Bid 16.. Tfnh: 2 3 2 2 ( 2) a) 10-+2--6- b) 8-- 3-+4-4 9 5 9 . 7 9 7

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ARCHIMEDES SCHOOL Toan s �Quyen 1 c) 4-+2-x7-2 3 8 d) 5--1-:2-1 3 1 PHlEU.,.r CUOI TUANX' � 3 3 4 11 8 4 5 PHAN 1 - TRAC NGHI�M: HQC sinh chi ghi aap sor kh6ng can giai thfch OE BAI TRALOI Bai 1. � cua 4800 Ia: 8 2 4! e) 1 2 3 3�x125 5 x3__!_ Biti 2. f>h�n so thich hQ'p vao cho trong: km = m 3-x6-+3-x3- f) -9 __ 5 4 5 4 9 7 7 9 ,.... p , . 1 B...at3. Ketqua cua.. ., h,eptmh 3-+2-:1-1 2 I'a: 2 5 3 Bili 4. Mua Skg g<;�o het 60000 dong� Hoi mua 8kg 990 cung lo9i thl het bao nhieu tien? Bai 5. -Mot. sai day dai. 4�m. Nglioi ta cat oi 3. chieu dai sai day. do. Hoi. Bid 17.. Nguai ta hoa 3� 1ft si-n� nho vao 6� lit nu6'c loc. de pha nuoc nho1 roi rot 5 3 2 4 sqi day con l9i dai bao hieu n met? aeu nu'oc nho a6 vao c�c CCCI moi. coc chua _!_ 1ft Hoi rot duoc bao nhieu. c6c? . .. 4 Bai 6. Mc)t blnh hanh c6 a¢ dai c�nh day Ia 3Scm, cao hlnh c;:hieu % h1tnh tu'dng U'ng biing qmh ctay. Tfnh di�n tfch hlnh blnh dO. 7. MQtclia h3ng ctuqc% B3i ban hoa qua bu6i sang ban sO cam. BuOi chieu ban duoc � sO cam con lai. v.a caa hang van con 12kg cam chua . . 4 ban auqc. HOi luc aau cua hang co bao nhieu ki-lo-gam cam? Bili 18. M¢t sqi dily NguOi biing � .. ... d3i 16m. ta cat ra tam do�n nhau va mOi do�n d3i 1 m. Bai s Tinh: 1+2-3+4-5+ +100-101+102 Phan day con l�i, ngU'oi ta cat du'gc bon do�n dai nhu.nhau. Hoi moi do�n day cat ra o lan thl1 hai dai bao nhieu met? Bili 9. Viet so tV nhH�n nho nhat co tong cac chu s6 bang 35. ,., u't h" 2019x2021-1 Bai 10• R gQn p an so: 2018x2021+2020 Rise above oneself Archimedes School and grasp the world Aschool.edu.vn

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8= (2+4+6+ + 3 + 5+ +201 ... 1 Tfnh: 1 1 1 1 1 1 a) A=l-xl-xl-xl-x xl xl-- M()t cua hang tham gia ba ngay h(>i chQ' sach. Ngay thu nhat cua hang ban dtiQ'C 2 3 4 5 ... --2020 2021 2 so sach va 16 quyen. Ngay thu hai eva hanq ban dvoc � s6 sach con lai. va 20 quyen. 5 - � 1 0 ! . Ngay eva hang ban so sach va 30 quyen � Hoi cua h ang thu ba auqc con l�i cu i cung. aa ban ch.Jqc bao nhieu quyen sach trong ba ngay h9i ch9? 1 1 1 1 1 ·1 b) B=l-+1-+1-+1-+ ... +1. +1 2 20 -380 --420 6 12 c) 6 6 6 6 6 C=1-><1-x1-x1-x x1 8 18 30 .... --10700 44

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ARCHIMEDES SCHOOL Toan s- Quyen 1 TUAN 3. ON TAP cAc BAI TOAN VE PHAN s6 PHIEU CU61 TUAN 2 . I. TlM GIA TR' PHAN SO CUA MQT SO CHO TRUOC PHAN I - TRACNGHI�M: H9c sinh chi ghi dap so, khong can gh1i thfch f>E BAI TRALOI Muon tim gia tr! phan so m (m, n Ia cac so tq nhien, n khac O) cua m¢t so a m n 6y ch , ta " h Bai 1. Han so chuyen thanh phan so du'Qc ket qua Ia: o tnJoc, ttn ax-. n Vfdl,l. MQt khu : di�n d� �· i� VL(O'n rQng 1200m2• NgUOi ta dUng tfch tr6ng bt16'i, d n tfch . " B"' qua cua p., hep. t'1nh ·1'a: a12..• K.,.�et 3 4�+2-3 ' 7 7 de trong oi, phan con l9i de trong rau. Hoi di�n tkh trong rau Ia bao nhieu metvuong? Bili 3 Tim y biet: ·y-_]_=2_!x1_!_ . . 2 4 9 f . each 1: each 2: oi 1200 X _:!_= 200 2 Di�n tfch trong rau bang: Bai 4. Sosanh: A=S_!-4� 8=5_!:5� Dien- tich tr6ng Ia: (m ) va 6 2 4 2 4 1 1 . 7 .(d." Di�ntfch trong buoi 1�: 1-_:_--:- = - ten. ttc, h khu vuon' )· . . 4 6 12 B , ,., s 3 6 19 ' Di�n tfch trong rau Ia: a1... . 5... . S"'o I,dn nh""at trong cac so ;1 ; 2 ; Ia: 1200x� =300 (m2) -3 -4 -7 -2 4 Di�n tkh trong Ia: 1200x !__ 700(m2) rau = 12 B 1 a1. 6 11tm y. b"1et: y- 3 300- 700 . . • , "' -· -=� 1200- 200 (m2) Bap so: 700m2 12 4 = Bai 7. Hung c6 120 vien bi gom cac mau: do, xanh va vang. So bi LUY�NT�P ma u do chiem 2_ tong so bi. So bi mau xanh gap doi so bi mau oo. 10 bi So vienbi mau vang Ia: Bai 20. f)e chuan cho nam hQc moL m� mua 30 quyen vo cho hai chi em. Chi dung het _! so va, em dung het _! so vo. Hoi con lai bao nhieu quyen v6? , 2 2 2 2 2 me. Bai 8. Ttnh: A= l:-x1-x 1-x1-x x1 .- . 3 . 5 ... - . 3 5 7 9 2017 9. 1�. � Biti Hai phan sO c6 hi�u Ja Biet ph3n sO thU nhat biing ..:!. ph an so thu haL nm hai phan so do. 2 . . �t �+�+-x-+ BaiJO. Timx,bi : x + ... + x 33 2x5 5x8 8x11 11x14 32x35 70 Rise above oneself Archimedes-school and grasp the world AschooLedu.vn

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xe 4 1 - uu'o'C_::t quang xe - 3 5 4 9 2 . 3 B = x-+-:--- bao n 7 9 7 5 9 nay � Vi$t, Bai Hi�n tuoi bo ba ng tuoi m�, tuoi mt; gap sau Ian tuoi anh tuoi anh � ngu'Gi nay, r g tu6i u � � Vi�t bilng tu6i em Nam. Tinh s6 tu6i cUa m6i hi�n biet iln tOng s6 Bai 22.. Mot. hlnh chu nhat c6 ch. ie dai m, chieu rong bang chieu dai. Tinh chu vi 5 . 4 cua bon ngVO'i trong gia dlnh hi�n nay Ia 88 tuoi. va di�n tfch hlnh chCt nh�t d6. Bid 23.. Cho mot so,. biet rang so a6 Ian hon 3 cua 2020 Ia 1 05 aO'n vi. Hoi 4 s6 d6 5 . 3 nho hon s6 2021 bao nhh�u acrn vJ?

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ARCHI MEDES SCHOOL Toan s - Quyen 1 Bai 24. Truong Tieu h Qc Archi med es Academy c6 1 6 1 2 hQc sin h . So hQc! s i n h khoi s PHlEU CU61 TUAN 1 ban g 23 tOng sO hqc s i n h toi m tn.IOng, trong 06 sO h9c si n h n U chH�m scl hQc sihh 1 PHAN I - TRAC NGHI�M: HQc sinh thl ghi Clap so, khong can giai thfch ca khoi. Tin h so hQC s i nh n cr, so hQC s i n h n am cua kh oi 5. DE BAI TRA LCtl B .. . a t 1 .. R ,ut gon ph...a n so · 45 u u'dc'* k '"'et qua a�I ' . "-' - . .., 105 sai hqp � 2. f>ien sO thfch vao chO trOng: kg= g h ;., 2 1 3 2020 Q 9 77 , b h' " h � B ,.. • 3a1 Tron g cacr p an soh 5;8; 2021 ; u;s;77 c o ao n t e u p a n soA' • n ho h dn 1 ? . ;., 6 45 85 75 ·" 3 I' B ... .at 4. Trong cac p, . h Aa n so -;- ;-. ; -- , ph a n s oA' b�a ng � a : 1 5 1 00 1 53 200. 8 . Bai 25. Mqt cong nhan thang 3 1a m dl!Q'C 260 san pham, tha n g 4 lam du'Q'C ta n g th e m � thang � Viet �han 16'n: _'!_;�;�;2 . s6 sa n phSm so vbi 3, thang 5 l ;;� i l a m auqc ta ng them sO sa n pham so vOi Bai 5 . cac so sau thea thu tu' tu. be den. 2 2 0 1 9 1 0 thang 4. Hoi tro n g ca ba thang cong nhan d6 1a m dU'Q'C bao nhieu san pham? B "a• 6 11tm y, .b .tet: - +3 (2 x y - 1)=-5 • • "' . 4 6 Bai 7. Pha n so Ian nhat c6 tu so va mau so deu Ia cac so co hai chCt so Ia: Bai 8. Hi�n nay m� 30 tuoi va con 6 tuoi. Hoi sau baa n h ieu nam n ua thl tuoi m� gap ba lan tuoi con? Bai 9. Co bao nhieu phan so toi gian khac 0 c6 tong cua tlt so va mau so if• 9? .n . 1 1 1 1 1 1 Bid 1 0. Tt h: M = - + - + - + - + -· + - . 2 6 1 2 20 30 42 20 I Ra n d grasp the. ise .ab. ov.e oneself Archimedes School world Aschool.edu.vn · .

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e m . e m m a. a m so (v6'i m, n 0} so ba n g So I a : . n n Vfd(!. mot vuon. cay. N g uoi ta dung __:!_ d ien. tlch t r6 n g buoi, 1 d ien trong oi, 4 6 . con J�i 700m2 de t ro n g rau. Hoi di�n tfc h khu vudn Ia bao n hi eu m et vuong? 1 1 7 (d " D< "1 e n t 1 c. >' h t ro n g ra u b �a n g : 1 - - -- = - aeh n t i Ch kh· u vvan' ) A' . I 4 6 1 2 D i e n. tfch khu vuan Ia: 700 : !_=1 200 (m2) Bid Tu of tru ng bi n h cu a m¢t nh6m hQc sin h Ia 1 2 tuoL Neu them m ¢t h 9c s i n h 1 2 - 8 tuoi thl tuoi trun g bin h cua nh6m d6 1a 1 1 tuoi . Hoi luc dau nh6m co bao nhieu hQc sinh? LUY�N T�P Bili 26. Biet � 2.� 06 q ua dtia n�n g kg. H Oi q u a dtia n � n g bao n hieu ki-10-gam? Biti 1 3 1 .. Tuoi tru n g bin h cu a m9t nhom giao vien Ia 30 tuoi. Tuo i t ru n g bln h cua cac co giao trong n h6m I a 27 tu6i. Tuoi tru n g blnh cua cac t hay giao trong nh6m Ia 35 tu6i. Bili 27. % M(lt thUn g dl,l'ng diiu, sau khi lily di 24 I ft dilu thi s6 diiu cOn l<:�i ban g sO diiu Biet so co g iao nhieu h dn so thay giao Ia 1 0 n g uoi. Hoi co bao n h i eu co g iao tro n g n h6m do? dlfng trong thu ng. Hoi luc dau thu ng at)'ng bao n h it�u lit dau?

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ARC H I M EDES SCHOOL Toa n 5 - Quyen 1 � � Ba i 1 26. C6 m¢t so lit d a u alf<;fc ch ia vao cac can g i on g n ha u . Neu moi can 8 1 ft Bai 28. Tra n g m (>t h9p k�o cO s6 k�o Ia k�o s 6-c6-l a , s6 k�o I a k�o sera, t h1 th ua 1 2 Ht dau. Con neu m oi c a n 1 0 1ft thl vlta du va so ca n g ia m cfi 3 ca L H o i con l 9 i 24 cai k�o deo. H o i h¢p d6 c6 tat ca bao n hieu ca i k�o? c6 bao n h ieu 1 ft da u ? Bai 29. M¢t ti$m may su d l;l ng m(>t tam va i de may ao. Buoi sa n g hQ d u n g het 2 tam va i . Buoi chieu ho. d u n g het 3 tam viH thl con lai 1 8m vai . Hoi tam va i a6 dai. h � bgn nam . . B a i 1 27. M 9t n 6 m cO s 6 b <;� n n a m b3 n g s 6 b<;�n nG'. Sau 06 c6 them 2 5 8 baa n hii�u met? so va 2 4 b9 n n u nen so b9 n n u g a p h a i lan b� n nam. Hoi luc da u nhom a6 co bao n h i e u hqc sinh? Bai 30. M¢t vuon c6 ba lo� i cay: ca m, qu)ft, bueti. So cay cam chiem � to.ng so cay , 5 cayquYt bi!ng � cfly s6 s6 cay cam va cOn l<;�i 3 bll'Oi. HOi wOn 00 cO t<lt ca baa n hieu cay? Bai 1 28. Mot. coc tra sua co da l a n h. chiem 2_ khoi h.tcrng.. N g uO'i t a c h o them 1 00g 1 0 da lanh vao thl thay da chit�m. .� khoi h.tong. Tfnh khoi. Iuong cua coc tra saa l u c dau. . 25 * . · . Rise above oneself Archimedes School and grasp the world AschooLedu.vn · .

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