toán lớp 5 q2

hai
1 2 e m . 56
ae u c h o h QC
T6 m¢t c6 1
to hai n h�n dlfQ'C n h i e u hon 0 t6 m9t li:f 1 4 v i e n . Hoi moi to n h � n duqc bao n h i e u
1

vien kE;o?

Bai 1 60.. M <) t khoi

h 9c si n h t h a m gia dong dien. N eu xe p 1 2 e m m ¢ t ha n g thl t h ua
Neu xep 1 4 em m¢t ha n g thl ding th U'a 6 em n h un g ft· cfi 2 h a n g . Hoi c6
bao n h i e u hqc si n h tham g ia don g dien?

6 em.

---···

----- ------

R i s e a bove o n es elf

a n d g ras p the w o r l d


5 -

I.

A . N HAN

-

1.

�

SO TH P PHAN

so

vO'i

n h ien

1 : 1 ,2

- Lam tlnh n h lf I a n h a n cac so t V n h i en .

- f) � t dau p h ay d tkh cu ng v! tri v6'i dau
phay a so th�p phan.

X

1 ,2

X

1

4=?

4

4,8 _

2. Nhan so th�p phan vai 1 0; 1 00; 1 000;
N ha n so t h � p p h a n voi 1 0; 1 00; 1 000;
chG' so ttio'ng ung .

Vi d ':J 2: 3,1 871
3.

X

•.•

. ..

tuc

Ia

d ai dau p hay sang phai 1 ; 2; 3; . . .

1 00 = 3 1 8, 7 1

N han so th� p phan v6i so th� p p h an

- N han n h ll n h a n cac so

Vi d �;�

tl! nhit�n.

- sa hang th� p p h a n Ci tkh bang ton g so
hang th� p p h a n d cac thua so.

3: 1 ,24
X

X

3,6 = ?

1 ,24

3,6

+ 744

3 72

4,464
4.

N ha n so th�p phan v6'i 0,1 ; 0,0 1 ; o,oo 1 ; .. ..
N ha n so thc}p p h a n voi 0 , 1 ; 0,0 1 ; 0,00 1 ;

chu so t uong ling.

Vi d l.} 4: 5 62,2

s . Tinh

X

- Tfnh chat g i a o hoan: a
X

5

=

5

X

- Tfnh chat ket hqp: (a
Vi d �;�

6: (0,8

X

75)

x

X

x

b=b xa

2,3

b)

1 25

=

x
.=

1 1 ,5

c=a

7, 5

X

x

(b

(0,8

x

X

c)

125) = 7 15

- Tfn h chat phan p h oi cua phep n han a6i voi
7:

tuc Ia doi d au ph a y sa n g trai 1 ; 2; 3; . . .

0,1 = 5 6,22

chat

Vi d� 5: 2,3

...

2,5 X 613 + 2,5 X 3,7 = 215

X

X

1 00 = 750

p h e p cc)n g : (a + b)

(6,3 + 3,7) = 2,5 X 1 0 = 25

X c

=a

X

c +b

X c

Arch i m ed e s School
Asc h oo l .e d u .vn


ARCHIMEDES SCHOOL
B.

(HIA SO TH�P PHAN

1 . C hia

so th� p phan cho so ty' n hh�n

.- Tn..toc .het c h ia ph�n ng uyen ch o so do. ­
-: Viet dau p hay vao ben p h a i t h u'on g

vr d 'J 1:

s,28 : 4 = !
5J28 �
1 2 f 1',3 2 .

tr�oc khi lay chu so aau tiE�n (J pha n th�p

p h a n ct}a s6 b j chia�

- Tiep tttc chia . ph a n th�p phan cho
so d6.
2.

08
0

Chi a so tl! nhh�n cho so tl! nhien (thu'dng Ia so th�p phan)

- Viet dau phay vao ben phai so thuong .

- Viet t h e m mqt ch u s o 0 vao b e n p h a i so
du va ti �l? tvc chia.

Vf d y 2:

- Neu p hep c h ia van co n dv thl viet them
m¢t ch a so 0 vao ben phai so du' va tiep
t y c chi a.
3.

Chia so t l! n h ien cho so th�p ph an

- f)em chu so hang t h � p phan cua so c h ia
roi viet vao ben phai so b! chia cung m ¢t
c h u so o.

- 86

hai

4.

dau p hay 0
so ttj n h it�n.

so

baa n h ieu cha

so (1 ph�n
th� p p ha n c u a s6 c h i a thl c huyen dau
phay (j so bi chia sang ben p h a i bay
�

Bern xem

co

nhiE�u ch u so.

- Bo

dau p h ay (J

sO ch ia

roi thlfc hi � n

p h e p chi a n h u chia cho so tV n hien.
5. Chia
. . .

0

VI d fJ 3: 38: 9,5 = ?
380

�
1

00 4

Vf d y 4:

19,72 : 5�8 :::: ?
1 972 �
2320 1 3,4
0

so th�p phan cho 1 0; 1 00; 1 000; . . ..

so th � p p h an cho 1 O; 1
chu so.

Ch i a

=

20

chia roi chia n h li c h ia

Ch i a so th�p ph a n cho so th�p phan

19 :4 ?
19 �
30 1 4175

"Vi dl:I S�

41 ,84 : 1 0 = 4, 1 84

00; 1 ooo;

. .

. ta chi vi�c ch uyen dau phay san g tn§i

Rise a bove oneself
and g rasp the world

· .

1 ; 2; 3;


Bai 1 56.

Toah s

-

Q uyen 2.1

M9t ddn Vi b¢ d9i can sang $6ng. N�u moi thuyen ch d
n g V6'i thl thlta
40 nguoi chua duqc sang song. Neu moi thuyen ch6 20 n g uoi thl con t h ua 1 th uyen .
Hoi c6 bao nh!eu thuyef} va dan vi b9 d9i d6 co bao n h i e u n g uai?

15

Bai i 57. M¢t n h6m b � n ru n h a u di hai qua hong. Neu moi b�h 5 q ua thl thua 11 q ual
neu moi b�n 6 qua thl m¢t b9 n khong ha i duc;;c qua nao. Hoi n h6m c6 bao n h i e u b �Hi
Va hai OU(JC bao nhieu q u a hong?

Bfd 1 58. M¢t to xe c6 m¢t so xe ta i, neu moi xe cho 1 5 bao 9 9 0 thl con th ieu 1 xe,
neu moi xe chO' 10 bao 990 th1 f9i th ua 1 xe. Hoi to co may xe ta i va dt,t d�nh ch6' bao
nh ieu bao g?o?

A rch i m edes School
Aschoo l . ed u .v n

pha i

m nhau
d a dj n h S a u kh i th ljc h i � n du ng s 6 n g a y da dj n h t hl n h o m 1
moi
1 40
II
t h i e u 1 00
v1
n g ay chi d?t dVQ'C 1 45 c 3 i . Hoi'
ngay va so ao aa d!n h theo ke h O<;!Ch c u a
moi n h 6 m .
,.... ,...,. .,. __. ....

.

0 m()t phong h Q p, n eu moi bim ngoi 3 n g uoi thl 1 7 n g uoi c h ua c6 cho ng6i,
neu m o i ba n ngoi 4 n g uai thl 2 nguoi chua c6 cho ngoi . Hoi c6 bao n h ieu n g uai dlf
hQp va bao nhh�u ban?
B a i 1 54

Bfd 1 5 5

..

..

0 m()t l&p h QC, neu x�p _moi bim } b�n thi con thua 8 b9n c h u'a co cho ngoil
c6 bao nhi<�u hQC sin h va bao nhh�u ba n ?

n eu xep moi bzm 5 b�n thl thlia 2 ban. Hoi lop

I

R i se a bove o n e se lf

a n d g ra s p th e wo r l d


•

a) 1 ,2

f)�t t[n h roi tfn h :
X

b) 5 1

0,6

X

4, 5

c) 7,92 : 6

·d) 5 76 : 45

Ba i 2 . Tfn h:
a ) 45,1 78 x 1 00 - 90, 32

b) 0, 1 862 1 x 1 000 + 3 1 8, 02

c) 2,5 x 81 4 + 1 6, 27

d) 1 880, 8 : 8 - 1 92, 8

f) 61 9 x 0, 1 + 23 1, 82 : 1 000

Bai 3.

llm y, b h:?t:

a) 0,4 X Y

=

c) y + 1 ,59

0,6

=

12

X

x

10

b) 1 05 : y = 7,46 - 3,26

2,5

d) 3,75 : y = 3 : 4

Archi medes Sch o o l

Aschool .ed u .vn


ARCHIMEDES SCHOOL
Bai 4. Tfn h ban g each hqp ly:

c) 1, 07 x 7, 1 + 1, 07 x 2,9

d) 20,5 x 4,7 -20� 5 x 4,6

e) 1, 98 : 1 2 + 41 02 : 1 2

g) 2, 37 x 57, 8 + 23, 7 x 4, 22

h) 1 2, 4 x 52 - 1 24 x 4� 2

i) 0, 6 x 2�, 1 7 x 6 + 3 x 26, 83 x 1,2.

j) 0, 8 x 23, 6 x 3 - 4, 8 x 1, 8

61

Ri se a bove oneself

a nd g rasp the world


Toa n s - Quyen 2. 1

·

Bai 1 SO. Bac Tan t h u hoc;lch xoai va cho vao hqp dem di ban. Neu m o i h<)p chua
9 qua thl con thua 8 q ua, con moi h(>p 1 2 q ua thl th ieu 4 qua. Hoi bac Ta n thu hor?ch
au'<;lc bao n hieu qua xoai?

Bai 1 5 1 . Trong m 9t d<;tt t h u ho�ch th6c, neu chia moi bao 35kg thl co n thua 7 7 kg,

con neu chia m o i bao 40kg thl con thua 22kg. Hoi dQt <16 thu hoc;lch alJQ'C baa nhh?u
ki-lo-ga m th6c?

B�ti 1 52. Hai c6 m{>t so bi va mqt so tu i. Neu Hai bo vao moi tui S vie n bi thl thua
1 2 vh�n, neu b6 vao m6i tui 1 1 vien bi thl vua au . Hoi Hai c6 bao nhieu vien bt, c6 ba o
n h i eu tui?

Arch i me des School

Aschool.edu.vn

_


Lop

Neu

m ua 4 q

90

q uyen1 neu moi b9-n 6 q uyen t hl vl.ra het. Hoi so va l ap SA au<;Jc m ua I a bao n h ieu
m ua

quyen ?

1 48.. An h c h ia tao cho cac ems n eu c h i a moi em 6 q u a thi thua 7 qua, neu c hia
moi em 9 qua thl con th ieu 2 q u a. Hoi c6 bao nhieu q u a tao va bao n h ieu em dU'Q'c

Bai

chia tao?

Bid 1 49 . M¢t oia ha n g ban 9 9 0.

Neu chia mo� tui 1 7kg thl t h i eu 20kg, n eu chia moi
tui 20kg thl th ieu 80kg . Hoi cua hang c6 b a o n h ieu ki-l o-gam g�o va dU'Q'C chia vao
bao n h i t� u t u i ? (moi tui co so 9 9 0 b a n g nhau)

Rise a bove o n eself

g ra s p the wo rld


.:!2 :(3 -� ]= 2,5
12

5

y

1

c ) 1 - ( 1 , 1 + y ) : a10

Bid

1

.

=

7

b) 1, 5 x y : 2 = 2 -

0

6. Ti m Y� bh�t:

a ) y x 3, 6 + y x 6, 4 = 1 81 9

.

2

2

d) (y + 4 ) : 0, 5 + 1-:- = 1 3 3
3

b) 9,4 : Y. + 5, 3 : y = 1 4

d) y : 0, 4 - y : 0, 5 = 1, 2

Bai

7 . Tfnh n h a n h :

a) 3 x (36, 2 -6, 5�) + 7 x 36, 2 + 3 x 0, 52

A rchi medes School
AschooLed u .v n


ARCH IM EDES SCHOOL
b)

258,93 x (76; 1 -1 4, 3) � 1 58, 93 x (72 + 4, 1 ) + 258,93 x 1 4, 3

· c) 1 5,2 x 34, 5 + 1 5, 2 x 471 5 + 84, 8 x 82

)

(

d ) 497,625 - 2 1 5;46 x 2 x 1 5, 9 - 6 + 2 1 5, 46 x 2 x 1 5, 9 - 2 1 5,46 x 6

Bid 8 . Trung b1n h moi p h ut 6 to di duqc t2km.

Bai 9. Hai t h u n g c6 tat

ca

2 1 4,5 1 ft

Hoi 6 to d6 di 45 km het "bao lau?

dau. Sau kh i do 1 0, 5 l it d a u tv t h u n g thu nhatsa ng

thu n g. thu hai thl .so dau (J th u ng thu n hat b�ng
dau moi thung c6 b a o n h i e u 1ft dau?

8 1·

Rise a bove oneself

and g rasp the world

�
3

so

dau b thu ng thu h a i. Hoi ltk


'

BAI 3 : HAl

I. LY THUYET
1 . Cac bliO.c

giai d�ng

Buac T: Tofll tat bai

.

.

Toa n s - Quyen 2. 1

�

-

H I EU

. SO

bai t�p hai hi�u so

toan.

Bciac 2: llm hi�u thanh ph an.
Buac 3: 1lm

Buac 4: Tam

hi�u tong.

thanh p h an.

Butte 5: Ti m tong.

2. ca c: d�ng bai t�p

Co g iao chia VCJ c h o cac em hQC sinh. Neu moi em 3 quyen thi thua 4 q uyen.
Neu moi em 4 q uyen thl thiE�u 4 quyen. Tfnh so hQc sinh va so vo.

Vi dl}:

Tom

Bai giai

tat:

3 q uy�n /em : thua 4 quyen

4 q uyen/em : thieu 4 quyen

C h e n h l�ch so v& m¢t em g i ua 2 each chia Ia: 4 - 3

=

1 (qu y en)

Chenh l�ch tong so vo du chia g iua 2 each chia Ia: 4 + 4 = 8 (qu yen)

(c6 the sa dvng sa do de xac djnh hi�u tong)
56 hoc s i n h I a: 8 ; 1

=

8

(em)

Tong so vo co g i a o chia Ia: 8
·-

II.

LUY�N T�P

X

3 + 4 = 28 (quyen)

fla p so: 8 em, 28 q u ye n vC:J

-oai 1-46� -ch! ch ia k�o cho cac em, neu moi em 6 chiec thl thua 4 chiec, neu moi e m
8 chiec thi t hiE�u 6 chiec. H6i c 6 bao n h ieu chiec k�o va ba a n h ieu em duq2'chia ��o?

Archi medes School

Aschool.edu.vn


40%

kl I I,

them 1 b � n n a m va 4 b � n n v n e n so b � n n a m ba n g 60o/o s6 b� n n O'. Hoi da u n a m h9c
n hiE�u
l op

Bid 1 44..i M9t g ia

-

sa c h c6 3 n gan. So s a c h

Ia n a m .

& ngan

thu n hat

bang

66

�

_

so

sach b

n g a n thlt ba. 56 sach 6 nga n thd' h a i bang 75o/o so sach a ng a n thu n hat Hoi g i a c6
tat ca bao n h teu q uye n sac h ? Biet ran g ngan thu ba nhieu h an ngah th d' hai I a
45

quyen sach.

b uoi sang, 40% Ia hqc s i n h lop 61
36o/o Ia h QC sinh lop 7, so 'hQC sinh con 1<;1i I a h Q C s i n h l ap 8. Buoi chieu, so h Q C s i n h lo p
6 giam 75°/o, so h Q c sinh lop 1 tang 25%, so hQc s i n h l o p 8 tang 75%. Hoi so h9c sinh
tham gia lao d¢ng buoi chieu ta n g h ay g ia m bao- n hieu pha.n tra m so voi s o hQc. sinh
lao a¢ n g b u oi sang?
Ba i 1 45 .. Trang s6 hQc sinh t h a m g ia lao a¢ n g

Rise a bove oneself

a n d g rasp the w o r l d


ti m

n6 cho n h a u thl g ia

11.
1

2

so

cua so d6 ta n g l e n 1 0 i a n .

sao

Tln h :

a ) 1- -o
6

so t h � p

30

16
6 +I

b)

9

4
7
- + 1 - - 0, 8
30
15

3

5

c)

2- : 2 + 1 8-5 .
1
4

d) 3 ' 1 2 x 9
4 .:... 3 6 x 2 +1 6x-

e)

.
1
1
1
1. 5 : ...:.. + 0, 4 x - + 1 6

3
2

f) l : 1 7, 5 x 24 + 1 3, 4 x 24 - 7, 9 x 24

1

.

1

I

1 + 4 +7 + .. + 55 + 58 - 39 x 1 1

_

Arch i m ed es School

As choo l . e d u .vn


·

ARCHIMEDES SCHOOL
Bai 1 2 .. Cho day

a) Day s6 nay

so; _1 , t ; 2, 2; 3r3; . � · ; 1 qs,9; 1 1 0,0.

c6 bao n hieu s6 h9ng?

b) So h�ng t h u 30 cua day Ia so nao?

Bai 1 3 . Cho day s6: o, 1 ; o,o-1 ; o,oo 1 ; � . .

a) So h�ng t hu 1 ooo c 6 bao nhiel.J chCrso o ph a n th�p phan?

b)

Be vi et tlt so h�ng th u n h at den so h(;lng thu 1 00 phai dung bao nhieu chu so 1 ;

bao

nhieu chu so 0?

Bai 1 4. Ch o day c6 quy lu�t sau: 1 ,2 1 ; 1 ,23 ; 1 ,25; 1 ,27;

a)

Day tre n c6 b a a n hieu so th�p p ha n ?

b) Tfnh to ng cac so th� p p h a n cua day tren.

Bai 1 s. nm x 1 biE�t:

a)

(x +O�S) +(x +0,25) +(x + 0, 1 25) + (x + 0, 0625) = 1

Rise above oneself

a nd g rasp the world

. ..

; 2,3 1 .


Toan s - Quyen 2. 1

Bid

1 40. Di�n tfch cua m¢t hlnh vu6ng se thay aoi n h lf the nao neu C9 n h hln h vu6ng
ta ng them 20%?
.

B a i 1 41 .

llm di¢n tlch hhih ch u n h�t, biet rang neu tang 20o/o chieu dai va g iam
chieu r¢ng thl di$n tkh ta n g them 20o/o dm2 •

Bili 1 42 .

Hoi

1 5%

·

Khoi l ugng co n g vi$c tang l en 50% n h ung nang suat lao a¢ n g chi ta n g 25%.
phai ta n g s6 c6ng n h a n len bao nh�eu phan tram ae h o a n th� m h cong vi�c du n g

thai h � n ?

·

Arch i m edes School

Aschoo Led u .vn


Do i : 3 2o/o

=

0,32; 1 Oo/o

=

0, 1 .

N eu c o i kho i l uqng c o n g vi?c.cu Ia i adn vi t hl khoi 'h iqng c6n g vi�c m 6' i so vdi

vi�c cG Ia: 1 + 0,3 2 = 1 ,3 2

N e u cof nang s u at l a o dqng c G I a 1 ddn vj

i(t

SUa

l.ao uqng
..=f "
, 1 + (\ 1
cu_ ,.a:
Vy

=

,

n a n g s u at

1 1
I

d() n g m cri so v6'i. nang

f)e th{jc h i�n dvqc khoi l vqng c6ng vi$c moi v oi nang suat lao d¢n g m�i t hl so cong
n ha n phai d9t toi muc la: 1 ,3 2 : 1 / 1

=

1 12

V�y ti so phan t r a m so c6n g n ha n p h a i ta ng t h e m so voi so cu Ia: 1 ,2 - 1 = 012

Bap so
Bai

t�p

=

20o/o

2o%

..

B a i 1 3 7 M(lt

so sa u k h i g ia m di 20o/o thl pha i ta ng them bao n h i e u phan tra m so m oi

de l�i au'Q'c so cu?

du'qc s o

B a i 1 38 . M
cu?

··

t h e m 259·6 th1 phai g iam d i bao nhieu p h an tra m so moi de l9i

..

.

cua m<)t hl n h chu n h�t se thay doi the n a o n eu t a n g chit�u dai cua
n6 l e n 20% va giam chieu r<)ng cua n 6 di 20%?

B a i 1 39 Di�n tfch

Rise above oneself
a n d g rasp the worl d


c) x x 01 1 + x x 0, 3 + x x 0, 5 + �. + x x 21,7 = 2376, 2

(

23

3

d) 0 , 44 x x + x x 5 - - + - x 2, 24 = 1

Bai

55

J

14

1 6. T111h hqp I f:

a) 2, 3 + 2� 7 + 3, 1 + 3, 5 + ... + 24� 3 + 24, 7

Arch i m edes Schoo l

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ARCH I MEDES SCHOOL
b) 1, 2 + 1, 7 + 2, 2 + 2, 7 + ... + 1 24, 7 + 1 25, 2

c) 1 0, 1 + 1 1, 2 + 1 2, 3 + 1 3, 4 + ... + 93,7 +94,8

Bai 1. 7 .. Tong cua hai so la 1 2,4. Biet so th u nhat bang � so th u haL llm hai s6 d6.
3

B�ti 1 8. _M9t h l n h ch G' rih�t co chit�u dai gap rllfli chie u r¢n g . Biet c;hieu dai lon hdn
chieu r(>n g Ia 2,4cm. Tfrih di�n tfch hl nh cha n h �t do.

Rise a bove oneself

a nd g ra s p the world


Toan 5 - Quyen 2. 1

H. MQT s6 BAI TOAN KHAC

C h u y: Dol voi m Qt so h3i toa n ve ti so p h a n tram.. co th e h LJong dan hQc s i n h alia
ve cac dc�mg toa n q uen t h u9 c nt;lti tong - ti, hi$u - ti, . . . de· t1m ra_ da p so n ha n h han,
de hi�u hdn.

.

·

Vf dl;l

l : To ng cua hai s6 bang 25% thucrng cua hai so d6 cung bang 25o/o. Tim hai so d6.

Ta c6

sa do:

Bili giai:

}0,25

so thu n hat:
so thu hai:

S6 thu nhat Ia: 0,25 : (1 + 4) = 0,05

so thu hai I a : o,25 - o,os = 0 ,2

£>ap so: o,o5; o,2.

d� i: Gia g iay viet nam nay b an g 1 20% gia· g i ay n a m ngoaL Hoi val so tien mua
du<;1c 1 50 t� p g iay & th ai ctiem n a m ngoai thl n a m nay m u a du'<;1c ba o n hieu t�p g iay?

Vi

Bili giai:

n s6 gia g i ay n a m nay so vai nam ngoai
Vi cung m¢t so tien t h1

nay m u a avqc I a : 1 50

x

1�: 1 2091:1

=

6

5

s6 g iay mua duqc ti I� n g h ! c h voi ti so g i a nen sO tien d6 nam
5 :6

=

1 25 (t� p)

Vi

f)ap s6: 1 25 t� p giay.

d�;� 3: Kh6i h.tqng cong vl�c ta n g 32°/o. Hoi phai tang so nguoi lao d¢n g them bao

n hieu phan tra m de n a ng SU!lt l a o d(>ng ta n g 1 0%?
Bai giai

ca�::: h 1 :

Neu coi khoi I VQ'ng cong vi$c cO Ia 1 00% t h l khoi luqng tof)g vi¢c mC1i so vC1i cong

vi�c c:u I a : 1 OOo/o + 32o/o =

Neu co i

1 32%.

d(>ng cu Ia 1 00% th1 n a ng suat lao d(>ng m6t so voi n a n g suat

tao d<) ng cu Ia: 1 OOo/o + 10% = 1 1 Oo/o
na ng suat lao

f)e thtjc hi�n avqc khoi h.tqn g co n g vi�c moi voi n a n g suat lao a(> n g mdi thl so cong
n h a n phai d<;1t t6'i m uc I a : 1 3 2% : 1 1 Oo/o = 1 20o/o
Vf?,y ti s6 phan tram so cong n han phai ta n g them

1 20o/o - 1 00% = 20%

so

vai so cu I a :

Dap so: 20%

·

Schooi

Asch o o l .ed u.vn

Arch i medes


9 1 .3 3

S o/o

so

Bai 1 34. Dan so cua m()t qu�n nam 201 6 1a 560 000 ngu'oi, tan g 1 2% so voi nam 20 1 5.
Neu tang 1 5% so Vdi nam 201 5 thl so dan cua qu�n a6 nam 20 1 6 1a bao n h i eu ngu'di ?

Bai 1 35. M9t tinh c6 2 tri�u dan, trung bl n h moi nam da n so c u a tin h d6 l�i tang 5°!0
so voi n a m tni6c. Hoi hai nam sau, tinh d6 c6 bao n hieu n g ucri?

Bai 1 36. Mqt nha may c6 2 000 cong n h a n . Cu sau moi nam, n ha may lgi tuyen th em
1 0% so cong n han so voi nam tru6'c. Hoi sau ba n a mr n ha may c6 tat ca bao n h i e u
cong nhan?

Rise above oneself
grasp

world

c6

hln h thoi a6.

Ia 1 1

2
9

B a i 20. Tong c u a h a i so th�p p h a n
t h� p phan d6.

hai.

Ia 22,5 va

h i �u cua chung Ia 1 ,22. Tim h a i so

B ili 2 1 . ll m h a i so c6 th llcmg Ia 2020 -va- hi¢u cua c h u n g Ia 201 ,9.

Bai 22 Ti m h a i so c6 tong va thudng cua chung aeu ban g 0,25.
..

Archimed es Sch ool
Aschool.ed u. vn


ARCH I M EDES SCHOOL

·

Bid 23. Tt m· h a i

Bai 24.

so co thvang va hi�u cua ch ung deu bang o,s .

S o sanh: A = 2, 1 93 x21 9,9 va B = 21,96 x 21,96 .

Bili 2S. Ti m

hai so th�p phan c6 h i<%u ba ng 36,84. Biet ran g neu lay so Ion chia. cho so
be thl duqc th udn g Ia 3,4 va du 0,024.
,-1_.,

�

Bili 26. B a o thu n hat

n hieu hdn bao th u hai 25,4kg g9o. N eu cho them vao moi bao
t.h1 s6 g�o 0 bao th u n hat gap bq lan so g�o (j bao thu hai. ll m so g�o a moi
bao luc aau.
1 ,7kg

Bai 2 7 . Tfch cua hai so Ia 3 3,3 75. Neu tang t h ua s o tha n hat t h e m 1 ,2 ddn v j thl ta
dlioc tfch m6'i Ia 40,875. Tim hai so ban dau: ·
.

.

Rise a bove o n eself

and g rasp the world

.

.


G.

Toa n s - Quyen 2. 1

BAi TOAN LIEN QUAN £>EN DAN SO

1 . Ly thuyet

56 d a n nam· nay = so dan n a m tnJoc a6 + % s6 dan n a m tnJac d6.

Vi d�: Cuoi nam 2000 nvacta c6 78· tri�u n g uo i Hoi cuoi n a m 2002 da n so nuoc ta Ia
ba o n hieu neu moi nam dan so tang 2%?
.

So

Bai 9iai

dan nam nay = s6 dan ·na m tntac a6 + 2% so dan nam trvac d6.

Cuoi nam 2001 so d a n tang them Ia: 7 8 0 0 0 000

·

X

2 : 1 00 = 1 560 000 (ng uoi)

Cuoi nam 2001 nuoc ta c6 so dan Ia: 78 000 000 + 1 5 60 000 = 79 560 000 (ngVQ'i)
Cu6i nam 2002 so dan nv6"c ta Ia:
79 560 ooo + (79 560 ooo x 2 : 1 OO) = 8 1 1 5 1 200 (nguoi)
f>ap so: 81 1 5 1 200 ng u'oL
'

2. Bai t�p
Ba i 1 3 1 .

dan so

a) Hoi

f)au nam 201 8 da n so cua Vi�t N a m khoang 95 tri�u nglf<:ti. Dau na m 20 1 9
cua Vi�t Nam khoan g 96,9 tri�u ngubi.

tu dau

n am 20 1 8 den dau nam 201 9 d a n so cua

nh ieu phan tram?

Vi�t

N a m ta n g them bao

b) Neu tu ctau n a m 201 9 den da u nam 2020 dan so cua Vi-�t Nam cGn g ta n g vai ti l�
tre n thl dau nam 2020 dan so c u a Vi�t N a m Ia bao n h ieu ngVai?

Bid 1 32. Dan

so cua m{>t xa cu o i nam 201 8 I a 1 0 000 nguai. Biet rang ti I� tang
da n s6 trung bin h moi nam cua xa d6 1a 3%. Hoi cuoi nam 201 9 xa a6 c6 bao· n hieu ng u'Oi?

Archi medes School
Asthool .�du.v n


trl n h p h a i

65%.
bay h ai I a bao n h ie u

say kh o n g

ki- l o-g a m

c 6 s lj h a o h l:Jt n a o khac n g oa i n lfoc) .

Nguoi ta p h oi 780 kg th6c tuail sa u kh i p hoi thl k h 6i higng th 6 c g i a m 1 30kg.
Tfnh ty so phan tram g i ua hiqng n u'oc va h Jqng t h u a n h � t c6 tro n g th6c da p h ai Biet
rang trong th6c tu'd'i n u'oc chiem 25o/o va trong q u a trl n h p h d'i kho n g c6 slf hao hl:lt

nao kh a c ngoai n u'6'c.

Bid 1 30.

.

Rise a b ove o n eself

and g ra s p the wo rl d