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TU A N 9.1>1:\1 SO H6A TOAN CO L<11 VAN

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cua

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. 41 Rise above oneself

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AschooLedu.vn

1


So hQc sinh
sinh.

sinh

so

3

bangso h<;>c sinh

so

Cho A,
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c

Ia cac phan s6.

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�. 4

5I 7

b)

�; 64
62 63

c)

.:!2.; 34
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d)

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Toan s- Quyen

ARCHIMEDES SCHOOL
�

LUY�N T�P

Bai 1 .
a)

3

1

5

4

5

5

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1

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4

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!

di�n tfch <16. Hoi

h<;1p tac xa con l�i bao nhieu

Anh 'chia k�o cho cac em. Neu moi em au'Q'c 5 cai thi thua 3 cai.

Neu mor em· du'
12

2 . 12

x - + - x ---

17

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Bac An tr6ng ch.JQ'c 192 cay gam chanh va .cam. Trong a6

met vu6ng oat chua trong rau?

a)

aX5

k�t qua d Lidi d� ng sO th�p ph an:

Nguoi ta da \rong ch.tqc

Tinh:

ha

lim so tv., nhh�n x, biet: x < b < 1,05 va b Ia s6 tu• n h i en .

s6 cfiy chanh b�ng

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__

A=2�+3�-13 +41_

sai 4. 11m a rOi vi�t

Bai 7.

Bili 2�

TRA LOI

aEBAI

Bien so thich hQ'p vao cho trong: 2345m2 =

Bai 6 ..

15

HQc sinh

Biti 1 .

Bai s.

e)

A

PH lEU CUOI TUAN 8

Tinh:

2

,..,

17

5

17

neu lay so IO'n chia cho so beta
se 9'l.(<;1� thudng Ia 2 va so dv Ia 10. Con neu lay so be chia cho s6 I an
se du'<;�c thu'dng viet du6i d�ng so th�p phan Ia 0,375.
Bai 9.

Tim hai so tlf nhh�n, biet rang

20
,
.
2.
4
6
8
18
. - --. - + -- - -- + ... +·--'--Biti 10. Tanh: B=1x3 3x5 5x7 7x9
17x19 ·19x21

Rise above oneself
and grasp the world

Archimedes School
Aschool,.edu ..vn

1


r¢ng

h

ta

du'
ca manh

thu

c)

0'

cu 5

bao n

5

4

2

4

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so tien cua

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4

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sO tien cUa Hil biing

s6 tien cua Dao. Hoi Hong c6 bao nhieu tien?

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6

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2
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b)

3

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va
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ARCHIMEDES SCHOOL
C

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12

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a

v

Toai1 5

20

d)

28

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va 23

39

PH lEU

PHAN 1- TRAC NGHI�M:

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2020

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2021

19

14

-

va'

17

12

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50

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va

va D�

..

8

2 +4+

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49

+98

134x269+ 135

1

chl ghi aap so, khong can giai thfch

TRALOI

Vit?t so th�p p h an gom: Muai ddn vj va ba mlidi larn pha n tram.

Bai 2. Gia trj cua chu so 4 trong so 0,3469 Ia:
Bai 3.

Phan so

B'aa4.
•

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phan 4 x 2 +�x3_
7 5 7 5

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thoa man n < 11,89 < n + 41a:

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Tlnh: A= 2 + 5 + 8 + 11 + 14 +

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

135x269-133

Quyen

CU61 TUAN 7

f>E BAI

Bai 1..

-

6 chiec thl thiE�u

.bao nhieu em OUQ'C chia k�o?

n

. . .

+ 38

1 chiec. Hoi c6 bao nhieu chiec k�o va

Bid 9. Co gi<�o chia va cho hQc sinh. Neu chia moi b�n

16 quyen 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

cac chu so bang 61a.:

Rise above oneself
and grasp the world

sao

cho tong

Archimedes School
AschooLedu.vn

77


8

sdm

15
h

may

lf

c6 5 nguai den them. Hoi to

se

h

c)

Bid 2.

Co giao chia 45 q u yen va cho 4 h9c sinh. Neu b�n thu nhat d\tgcthem2 quyen,

8+9

a)

-2011

1x3x5+2x6x10+3x9x15

3x 5x12+6x10x24+ 9x15x36

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?

Bai s.

MQt ella hang ngay thlr nhtit ban duqc

ngay thU' nhiit

�

�

s6 g;:�o, ngay thlr hai ban nhieu han

s6 9'.10. HOi ca hai ngay clra h.3ng 06 ban dl1t;1c baa nhil!u

phtin s6 g;;to?

Toan s- Quyen 1

ARCHIMEDES SCHOOL
·Bai 9..

Mot
. co chieu dai .:!2m, chieu rang kem chieu dai
. chh�c khan h1nh chu nhat

Tlnh chu viva di�n tfch cua chit�c khan

12

d6.

.

PH lEU

_!_ m.
12

CU61 TUAN 6

PHAN I TRAC NGHI�M: H9c sinh chlghi Clap sii khong can giai thfch
-

TRA LOI

BEBAI

Bai 1 ,. Bien so thich h
__

m2

Bili 2. Bien so thfch hqp vao cho trong: 4 t9 so kg .:.. 2 t9 3 yen =

kg

__

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Bili

10.

Tim mQt phan s6, biet rang

neu lily phcln s6 d6 c(>ng vOi

thl avac
. ket qua Ia �-

�

r6i cQng tiep

:

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2

1

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1 OSha

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16

1 km2 50dam2

3

4

.

12
..

Bid 6. M9t khu dat hlnh chu n h� t c6 chieu dai 250m, chh�u rDi$n tich khu dat Ia bao nhieu hec-ta?
Bid 11. Ton g chieu dai cua ba manh vai Ia 65m. To n g chieu d ai cua manh vai thu
nhat va

manh vai thu hai Ia

thu ba Ia

25

6

m.

12

Tong chieu dai cua

!2_ m. Tfnh chieu dai moi manh vaL
4

manh vai thu hai va m a nh vai

bi h.tong thljc au cho 1200 nguoi an
trong 35 ngay. Nhu'ng sau do ddn v! co 480 nguoi den them. Hoi
sO Iuong thljc do du dung trong bao nhieu ngay?
Bai 7. M(>t dan

vj b¢ dQi

chuan

M9t to c6 8 cong nhan lam trong 4 gia duqc l20 san pham. Hoi
cong nhan lam trong 6 giO' du<;tc bao nhieu san pham? (Mac la m

Bai 8.
10

cua moi ngu'oi nhtt nhau)

Bai 9. Tim y, biet: (y- s)- (y + s) + y x s- y: s

=

s

Bid 1 o. 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
voi thu hai chay thl may gio se day be?

Rise above oneself
and grasp the world

.

m¢t mlnh

Archimedes School

Aschool.edu.vn


25 5 3
9
6
B=---:-+-x18
4 2
4 27

14

5

6

1 1

11

9

Tfnh:

1

1 1
1

1
1
A =-+-+-+-+2 6 12 20 30

le "Ke ho�ch nho". Bh�t rang cu 12 h9c sinh thi thu gom
duqc 48kg giay V'-:Jn. Neu moi hQC sinh lop SA thu gom them du'Q'C 2kg -giay Vl;1n thl
ca lop thu gom du'Q'c tat ca 240kg giay v�n. Hoi lop SA thu duqc bao nhh�u ki-16-gam
B a i 2.

Lap SA tham gia tu an

giay vl;Jn?

2

2

2

2

B = - + -- + -- + ... +-19x21
1x3 3 x5 Sx7

3

4

5

( = -- + -- +
2x5 Sx9 9x14

7

5

b) yx--yx-+yx-= 2

a) yx-+yx-=2025

+

6

14x20

7

+ ---

20x27

9

9


Toan 5- Quyen 1

ARCHIMEDES SCHOOL
0=

4 - 8

1x3

-

3x5

--

+

12

5x7

--

-

16

7x9

--

+--·

9x11

20

PHIEU CU61 TUAN 5

PHAN 1 - TRAC NGHI�M:

HQc sinh chlghi ddp

s6, khong can giai thfch

TRALOI

DEBAI
Bai 1. f)h�n s6 thich helP vao cho tr6ng: 12dam2 25m2=

dam2

__

E=

1 +
1_ + __
-1 +_
1x3
3x5 5x7

...

+

1

19x21

Bai 2. Bi en phan so thfch hqp vao cho trong: 112hm2=

__

at 3
8"'
"

•

km2

3

,.r
. 2· �
1 =yx
11m y, b•tet:
T1
.

3

4

(

)(

Bai 4 Tlnh gia tri. cua bieu thac: A= _!_+ � :2� x 3 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

F=-+-+-+-+-+-+
2
4
8
16
32
64
128

-

Bid 6.. 32 hqc s i n h lop sA tham gia tr6ng cay. Biet cu bon b9nthl trong

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?

1 1 1
1
1
G=-+-+-+-+3
9
2 7 81 243

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 bao nhh�u ngvoi? (Biet rang muc
lam cua moi ngu'O'i nhv nhau)
Bili 9. C6 8

ngvoi lam xong

m9t cong

vi�c trong

6

ngay. Hoi muon

lam xong cong vi�c d6 trong 4 ngay thl can bao nhieu ngu'oi? (Biefrang
muc lam cua moi ngu'di nhu nhau)
Bai 1 0. So nho nhat cO bay chu so khac nhau chia het cho 9 h\:

121

Rise

above oneself
and grasp the world
.

Archimedes School
Aschool.edu.vn

I

73


y,

1
1
1
1
1
y+-+-+ +-+-+-=1
32 64
2 4
8 16

Vai G�C so tlj nhien a, bl c khac 0 va b
1.

a

(dQC I a: a va b p h a n c).

BAI

D�ng 1. Vh�t
vr df:l.

c

Gom phan nguy e n va pha n phan so voi phan phan s6 nh6 han 1 .

phan so du'oi d�ng hon

each chu yen

•

b gQi Ia h on so

phan s6 th a n h han so:

Ta c6:7: 4 = 1 (du 3). Vay ?_ = 1�.
4
- 4

?_ =?
4

• each chuyen han s6 thanh phan so:

Bai 2.. Tim m¢t phan so, biet rang neu

gH! nguyen tu so thl

lay mau

dV'1c m9t phan s6 mai

12_=

Vidu.
.

so cua phan so d6 chia cho 4 va

I on hdn phan so

ban aau

9•
8

4

4x1+3 =?_.
4

4

D�ng 2. Cqng, tru hon so

Khi c{>ng ho�c trl.i hai hon so ta c6 the viet chung duai d9ng phan so roi th�Jc h i�n

phep c¢ng ho�c tn1 hai phan so. Ta cung c6 the cqng

c¢ng ho�c tru phan phan so vCii nhau.

h o�c tru phan nguyen vai nhau,

Vi dv 1. Tinh::

a)

2�+4_2_
5

each

1:

3

22. +4_2_=_!i+_:!i
5
3
5 3
2

39+65
15

1

3

=

104=6 ]_i
15
15

7

each 2;
2

3

5

( )

+
+42_ = ( 2+4 ) + �+2_ =6+ 9 5 =6�

.

3

5

3

15

15

b) 2--1-

each 1:

22- 1=8-�=56 3

7

3

7

21

= =
21

11

each

2 1

(2

)

1
14�3
2 --1-= 2-1 + --- =1+

3
7
21
3· 7
'

(

)

�

= 111
-


Toan 5- Quyen 1

ARCHIMEDES SCHOOL

y: Neu ph an phan so cua so bf tru nho hdn phon phan sO cua s6 trtl,
m(Jt ddn vj a phon nguyen cua s6 bi tru de them vao phiin phan so.
Chu

ta phai rut

··
1
1
2 . 5

12
5
7
.. .
VJdu2. 8--3-=8-3-=7--3-=4-.
.
5
2
10
10
10
10
10

PHAN 1 - TRAC NGHI�M:

�

Vi dv 3. Tfnh:

a) 3 4 + 1..!.
9

7_!_-5�
4

8

b)

6

c)

PHIEU CU61 TUAN 4

Bid 1.

s-26
7

Han so

2�
8

HQCSinh chi ghi ddp SO, kh6ng cangiaithfch

chuyen thanh p han so auqc ket qua la:

Bai 2. Tlnh: A �}__x 4 1_!
5

Bal3.
... ·

7

x

2

n1m Y1 b."'
tet:· yx1-=
3 2 -:
1 33
7
4 5

Bili 4.. nm YJ blet;
•N'

(

..

3xy-1) (
X

1

1

1

1

15

J

= 13
2 + 4 +8 +16

.

Bai 5. Mf; he1n con 24 tuo i. Biet 5 nam sau tong so

m.;

con Ia 52 tuoi. Tfnh tuoi cua hai m� con hi�n nay.

Bai 6
D�ng

Nhan, chia hon so

ho�c chia hai hon so ta viet hai
thlfc hi$n phep nha n ho�c chia hai phan so.
Muon nhan

VfdtJ4.
a)

..

An

Vuan hoa cua truO'ng

bang 160m va chieu rQng bang
3.

1lx15
5_!_x3i=.!.!x-'!2=
2

4

2

4

2x4

han so d6 dvai d�ng phan so

9

Vi dv 5. Tinh:

3

9

3

5
1
a) 3-xl�

9 8

38

rei

-241

.

i

d9c m(>t

L i nh

hl nh chu nh�t c6 chu vi

chieu dai. Biet ngttOi ta dUng

.

cu on sach. Ngay thu nhat Linh

sO trang. Ngily th U hai

165
8

Linh d9c

dttqc%

dqc dugc

sO trang cOn l;;ti va ngfly

_!]_I tong cua so thu hai
15

Bai 8.. Tong cua so thu nhat va so thu hai Ia
va so thu

2

ba so d6.

1

b) 2x43

2

c) 2-:53

4

'

3

Bili 9.

b� Ia ��tong cua
12

so thu nhat va so thu ba Ia

2

20

3. Tim

Hai thung dVng 357 Ht dau. Neu rot 25 lit dau tU' thung I on

sang thu ng be th1 so lit dau
<1thung
be bang 3 solft dau Cithung lan.
.
.
4

Tinh s6 dau o thung be luc aau.
Bai 1 o. Tfnh: B =
'

Rise above oneself
and grasp the world

�

m{>t

cua hai

dL Dien tich trong hoa la:

dien tfch vu'on de lam
loi.
.
·..

Bai 7.

Ia

tuoi

thu ba Li nh OQC 2 4 trang nfi'a th1 vl!a het. 56 trang cua cuon sach d61a:

b) 6_!_: 4�=�: 38 = 19 x_2_=�
3

TRA LC11

OE BAI

(1- �-.J x (1-�Jx(1-__!_Jx (.1--1 ·J·
2

3

.

4

...

x

100

Archimedes School

Aschool.edu.vn


ta
n

phan

3
san.

16

ae

1

d

n

tfch

c)

2
3-+
5

3

4

4

b)

7

M¢t tu sach c6 hai ngan, trong d6 sO. stkh ngan tren nhieu han so sach ngan

3

a)

1
2
x+- = 2-

c)

x:3-1

3

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 ng a n luc dau.
11

15

2

-� = 2 2_
4

4

Bid 16.. Tf nh:
2

3

8

-5_2_

d) 7 2 :

3-x25
9

Bid 15.. ll m X, biet:
Bai 2..

3

2

a) 10-+2--69 .
9
5

4

1
4

4
18
b) 3 --X=5
5

2

1
2
d) xx3--1-=23
3
3

(

4 + 4b) 8-- 39
7
7

2

2)


ARCHIMEDES SCHOOL
2

3

1

8

c) 4 -+2-x7-

3

4

3

Toan s �Quyen 1

1

8

11

4

�

X'

.,.r

PH lEU CUOI TUAN

d) 5--1-:25

PHAN 1 - TRAC NGHI�M:

HQC sinh

3

chi ghi aap sor kh6ng can giai thfch

OE BAI

Bai 1.
2
3
2
1
e) 3-x6-+3-x35
4
5
4

f)

7

7

8

cua 4800 Ia:

Biti 2. f>h�n so thich hQ'p vao cho trong:

3�x125 -9 5 x3__!_
9

�

TRALOI

9

,..

,

.

4!

km =

__

1 I'
B...
., ph,
1
2
at3. Ketqua.. cua
eptm h 3-+2-:1a:
2

5

3

Bili 4. Mua Skg g<;�o het 60000 dong� Hoi mua 8kg

het bao nhieu tien?

Bid 17..

Nguai ta hoa

aeu nu'oc nho a6 vao
.

3�
2

1ft si-n� nho vao

6�
4

c�c CCCI moi. coc chua _!_
.

4

lit nu6'c loc
. de

pha n uoc nho1

roi rot

1ft Hoi rot duoc
. bao nhieu c6c?

Bai 5. -Mot
. sai
. day dai

�

duoc �
. . 4

990 cung

lo9i thl

chieu dai sai
. day do. Hoi

.

c6 a¢ dai c�nh day

Ia 3Scm, c;:hieu cao

qmh ctay. Tfnh di�n tfch hlnh blnh

h1tnh dO.

ctuqc%

sO cam con l ai
. v.a c aa hang van con

sO cam. BuOi

12kg

cam chua

ban auqc. HOi luc aau cua hang co bao nhieu ki-lo-gam cam?
m.

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

Bai s

.

..

Tinh: 1+2-3+4-5+ +100-101+1 02

Bili 9. Viet so tV nhH�n nho n hat co tong cac chu s6 bang 35.
Bai 10•

Rise above oneself
and grasp the world

%

3

MQtclia h3ng ban hoa qua bu6i sang ban

chieu ban

lan thl1 hai dai bao nhieu met?

5

Bai 6. Mc)t hlnh blnh hanh

B3i 7.

M¢t sqi dily d3i 16m. NguOi ta cat ra tam do�n biing nhau va mOi do�n d3i 1

4�m. Nglioi ta cat oi 3.

sqi day con l9i dai bao n hieu met?

tu'dng U'ng biing

Bili 18.

m

Ru't gQn

p h"an

,.,

so:

2019x2021-1

2018x2021+2020

Archimedes School
Aschool.edu.vn


8=

(2+4+6+

...

3 + 5+

+

+ 201

1

2
5

M()t cua hang tham gia ba ngay h(>i chQ' sach. Ngay thu nhat cua hang ban dtiQ'C

so sach va 16 quyen. Ngay thu hai eva hanq ban dvoc
-

Ngay thu ba eva hang ban auqc

!

�

.

�
10

s6 sach con lai
. va 20 quyen.

a)

Tfnh:
1

1

1

1

A=l-xl-xl-xl-x

2

3

4

5

...

xl

1

2020

--

1
xl--

2021

�

so sach con l�i va 30 quyen cu i cung. Hoi cua h a ng

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
6
12
20
380
420
.

-

6

6

6

6

c) C=1-><1-x1-x1-x
8

18
30 44

....

x1

6

--

10700

--


Toan s- Quyen 1

ARCHIMEDES SCHOOL

PHIEU CU61 TUAN 2

TUAN 3. ON TAP cAc BAI TOAN VE PHAN s6
.

I. TlM GIA TR' PHAN SO CUA MQT SO CHO TRUOC
Muon tim gia tr! phan so

, ta ttn
" h

c h o tnJoc,

m

m
n

(m,

n

Ia cac so tq nhien, n

khac

PHAN
O) cua

mÂt

so

a

ax-.

n

Vfdl,l. MQt khu VL(O'n rQng 1200m2ã NgUOi ta dUng

: di�n

tfch

�·

d� tr6ng bt16'i,

di�n tfch

de trong oi, phan con l9i de trong rau. Hoi di�n tkh trong rau Ia bao nhieu metvuong?

each 1:

Dien
- tich tr6ng

oi Ia: 1200 X _:!_= 200 (m2)
6

Di�n tfch trong buoi 1�:

Di�n tfch trong rau bang:
1
1 . 7
1-_:_--:- = 4

.(d."
, h kh u vuon
ten

' )·
. ttc
.

12

1200- 300- 200 = 700 (m2)

Bap so: 700m2

bi cho nam hQc moL m� mua 30 quyen vo cho hai chi em. Chi dung
so va, em dung het _! so vo. Hoi . con lai bao nhieu quyen v6?

Bai 20.

f)e chuan

.

. 5

me

.

.

.

Bai 4.

B a1

... .

6y

TRALOI

chuyen thanh phan so du'Qc ket qua Ia:

7

.
. .

2

4

Tim y biet: ·y-_]_=2_!x1_!_
f

.

Sosanh: A=S_!-4�
2

4

9

va

,

•

,

b"1et:
"'
y12
·

1

4

8=5_!:5�
2

,., s

5... . S"'
o I,dn n h""
at trong cac so

Ba1 6 11tm .y

3
6 19 '
1 ;2 ;
Ia:
3 4 7 2

-

;

-

-

-

3
4

-=�

Bai 7. Hung c6 120 vien bi gom cac mau: do, xanh va vang. So bi

2_
10

tong so bi. So bi mau

anh gap doi so bi mau oo.

x

So vi en bi mau vang Ia:

2
2
2
2
2
,
Bai 8. Ttnh: A= l:-x1-x 1-x1-x ... x1 -.3

..:!.
2

9.

5

7

9

Hai phan sO c6 hi�u Ja

1�.

2017

Biet

ph an so thu haL nm hai ph an so do.

BaiJO.

and grasp the world

f>E BAI

7

Biti

Rise above oneself

chi ghi dap so, khong can gh1i thfch

•

ma u do chi em

LUY�NT�P

H9c sinh

. "'
.,
"
' . t'
4

3 ·1'a:
B a12.. K.,.�
et qua cua ph ep
1n h 3 �+2-

.

1200 x !__ = 700 (m2)

Di�n tkh trong rau Ia:

3

12

Di�n tfch trong rau Ia:

1200x� =300 (m2)
4

het _!

6

Bai 1. Han so

Bili 3

each 2:

I - TRAC NGHI�M:

.
Tim x,bi

�t : �+�+-x-+
2x5

5x8

.

�
x

ph3n sO thU nhat biing

8x1 1 11x 14

+ ... +

x
32x35

33

70

Archimedes-school

AschooLedu.vn


B=

Bai

Hi�n

Vi�t bilng

�

nay tuoi bo ba n g

�

3

7

5 4 9 2
- - ---

x

9

+

7

:

5

9

cua bon ngVO'i trong gia dlnh hi�n nay Ia 88 tuoi.

.

bao n

tuoi m�, tuoi mt; gap sau Ian tuoi anh Vi$t, tuoi anh

tu6 i em Nam. Tinh s6 tu 6 i cUa m6i ngu'Gi hi�n nay, biet riln g tOng s6 tu6i

_::t
uu'o'C

Bai 22..

1

3

-

-

Mot
. hlnh chu nhat
. c6 chi e u dai

Cho mot
. so,

4

xe

quang

va di�n tfch hlnh chCt nh�t d6.

Bid 23..

xe

� m, chieu rong bang �
5

biet rang so a6 Ian hon

nho hon s6 2021 bao nhh�u acrn vJ?

.

3

5

4

chieu dai. Tinh chu vi

cua 2020 Ia 1 05 aO'n vi. Hoi 4 s6 d6
.

3


Toan

ARCHI MEDES SCHOOL
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

ban g 123 tOng sO hqc s i n h toi m tn.IOng, trong 06 sO h9c si n h n U chH�m

ca khoi. Tin h so hQC s i nh n cr, so hQC s i n h n a m cua kh oi 5.

!

scl hQc s i hh

PH lEU

PHAN I - TRAC NGHI�M:

Mqt cong nhan thang 3 1a m dl!Q'C 260 s a n pham, tha n g 4 lam du'Q'C ta n g th e m

s6 sa n phSm so vbi thang 3, thang 5 l ;;� i l a m auqc ta ng them

thl ghi Clap so, khong can giai thfch

.
Ba
.. t. 1 .

"-' ·45 u
'* u'dc
'"' qua.., I a�
'
a n so
R ut
, gon
. ket
. p h...

sai 2.

f>ien sO thfch hqp vao chO trOng:

105

TRA LCtl

�

sO sa n pham so vOi

t h a n g 4. Hoi tro n g ca ba thang cong nhan d6 1a m dU'Q'C bao nhieu san

pham?

h

1?

g

A'

.
;., 6 45 85 75
3
·"
A' b�a ng � I a' :
cac
- , ph a n s o
, . pha
A n so -; - ;-. ; .
.
8
1 5 1 00 1 53 200

Trong

Bai 5 .

Viet cac

B a•
" 6

11tm y, b. .tet:
"'
3 + (. 2 x y - 1 ) =5

•

kg=

5;8; 2021 ; u;s;

B at
... . 4.

•

�

h
;., 2 1 3 2020
Q 9 77
, b

h' "
h�
77 c o ao n t e u p a n so
T ron g cac p an so
r

•

n ho h dn

�

1

DE BAI

B a1
,.. • 3

Bai 25.

HQc sinh

CU61 TUAN

�han so sau thea thu tu' tu be den 16'n: _'!_;�;�;2
.
2
.

4

.

2

0 19 10

6

Bai 7.

Ph a n so I an nhat c6 tu so va mau so deu Ia cac so co hai chCt so Ia:

Bai 8.

Hi�n n a y m� 30 tuoi va

Bai 9.

Co bao nhieu ph an so toi gian khac 0 c6 tong cua tlt so va mau so

thl tuoi m� gap ba lan tuoi con?

if• 9?

s - Quyen 1

.

.

1

1

1

con 6 tuoi. Hoi sau baa n h ieu nam n ua

1

1

· +-.
Bid 1 0. Tt n h : M = - + - + - + - + -

20

I

Rise .abov.e oneself
.
a. n d grasp
the world

2

6

1

12

20

30

42

Archimedes School

Aschool.edu.vn

· .


em.

em

so
Vf d(!.
con

m
n

(v6'i m, n

0}

mot
. vuon cay. N g uoi t a

dung __:!_
4

1

4

A'

Tu of tru ng bi n h cu a m¢t n h 6 m hQc sin h Ia 1 2 tuoL Neu t h em m ¢t h 9c s i n h

- 8 tuoi thl tuoi trun g bin h

cua nh6m d6 1a 1 1 tuoi . H o i luc dau nh6m co bao n h ie u hQc sinh?

1

7 (d "

Bili 26. Biet

m9t n h o m giao vie n

Ia 30 tuoi. Tu o 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.
Biet so co g iao n h ieu h dn so
n h6m

do?

thay g i a o

Ia 1 0 n g uoi. Hoi co bao n h i eu co g iao tro n g

6

12

D i e. n tfch khu vuan Ia: 700 : !_ = 1 200 (m2)
12

LUY�N T�P

Biti 1 3 1 .. Tuoi tru n g bin h cu a

a. So

.

d ien tlch t r6 n g buoi,

Ia

a

:

m.
n

1
d ien
6
.

J�i 700m 2 de t ro n g rau. Hoi di�n tfc h khu vudn Ia bao n hi eu m et vuong?

D<1 e
". n t >'1 c h t ro n g ra u b a� n g : 1 - - -- = -

Bid

so ba n g

Bili 27.

�

q ua dtia n � n g

2.�

a en
h

.

t ro n g oi,

t i C h· kh u vvan
' )
I

kg. H Oi q u a dtia

06 n � n g bao n hieu ki-10-gam?

M(lt thUn g dl,l'ng diiu, sau khi lily di 24 I ft dilu thi s6 diiu cOn l<:�i ban g

dlfng trong thu ng. Hoi luc dau th u ng at)'ng bao n h it�u lit dau?

%

sO diiu


Toa n 5 - Quyen 1

ARC H I M EDES SCHOOL
Bai 28. Tra n g m (>t h9p k�o cO

con l 9 i 24 cai k�o deo. H o i

Bai 29. M¢t ti$m may

2
5

�

s6 k�o Ia k�o s 6-c6-l a ,

h¢p d6 c6 tat ca

su d l;l ng m(>t

�

s6 k�o I a k�o sera,

bao n hieu ca i k�o?

tam va i de may ao. Buoi sa n g hQ d u n g het

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
.
.

baa

n hii�u met?

8

m¢t so lit d a u alf<;fc ch i a vao cac c a n g i on g n ha u . Neu moi can 8 1 ft
t h1 th ua 1 2 Ht d a u . 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
c6 bao n h ieu 1 ft da u ?
Ba i 1 26. C6

B a i 1 27.

M 9t n h 6 m cO s 6 b <;� n n a m b3 n g

va 2 4 b9 n n u nen so b9 n n u g a p h a i lan
n h i e u hqc sinh?

Bai 30.

s6

M¢t vuon c6

cay quYt bi!ng

�

ba lo� i cay: ca m,

qu)ft, bueti. So cay cam chiem

�
5

Bai 1 28.

bgn nam

so b� n nam. Hoi luc da u nhom a6 co bao

Mot
. coc tra sua co da l a. n h chiem 2_ khoi

da lanh
vao thl thay da chit�m
.
.

and grasp the world

s 6 b<;�n nG'. Sau 06 c6 them 2

to.ng so ca y,

s6 cay cam va cOn l<;�i 3 cfly bll'Oi. HOi wOn 00 cO t
Rise above oneself

�

10

h.tcrng.
N g uO'i t a c h o them 1 00g

.

.�
khoi h.tong.
Tfnh khoi Iuong cua coc tra saa l u c dau.
.
25
*

.

·

.

Archimedes School

AschooLed u.vn

·

.


31

Bid 1

Ti m

3
5

c<) n g

Co g iao c h ia va c h o ca c e m h9c s i nh . Neu moi em 5 q uyen thl th ua 22 q uyen .

Neu moi em 7 q uyen thl

thieu

1 4 quyen. Hoi c6 bao n h ie u hqc s i n h dU'Q'c ch ia v6?

;;

Ba i 32.

Ti m pha n so co g i a trj ba ng

Bili 33.

H a i tO cOn g n h a n c6 48 n gtiCti . Neu c h U yen

,,

biet phan so d 6 c6 mau so han tli s6 20 1 9.

Bai 1 25.. C o g iao chia hQc sinh vao cac ba h. Neu chi a moi ban 2 em thl s em kh6ng c6
cho ngoL Neu ch i a moi ban 3 em thl t h ua 2 ba n Hoi c6 bao n h ieu ba n va bao n h ieu
.

h qc sin h ?

�

s6 cOng n h a n ella tO mQt sa ng

to h a i thi hai to c6 so cong n h a n ban g nhau. Hoi moi to cq bao n h ieu cong nhan?


Toa n 5 - Quyen

ARCH IMEDES SCHOOL
Bai 34.

M9t cua

hang trong ba n g a y ban duqc 1 43 5 lit dau. N gay thu n h at caa hang

ban g a p aoi n g ay th u h a i, hgay th U' h a i ban
ba n g
'

cua

h a n g ba n duqc baa n h ieu 1 ft dau?

_.:!_

ngay th u ba. Hoi moi ngay

4

Ta co:

4 x a + 20

5xa-10

1

= ]£
22

22x (4 x a +20) = 1 9 x (5 x a - 1 0 )

88 x a + 440 = 95 x a - 1 90

95 x a - 88 x a = 440 + 1 90

7 x a = 630

a = 90

N g a n tren co so q uyen sach I a: 4 X 90 = 360 (quyen)

N g a n duoi c6 so q uyen sa ch Ia: 5

Bai 35.

Hi$u hai so bang-705/ tong h ai so ba n g n a m

x

90

=

45 0

(quyen)

Bap so: Ngan tren: 360 quyen, ngan d u<1i: 450 quyen

lan so be. Tim hai so a6.

cay gom: cam/ quy-t, buoi. So cay cam

Bai 1 2 1 .

Trang vucrn c6 71

Bi.ti 1 22.

Tim hai SO; biet so lan gap bon Ian so be va

buoii so cay qu)lt nhieu hdn so cay buoi Ia 1 5 cay� Tin h so cay cam�

Bai 36.

2_
2

Bon b� n Du ng, Hu n g,

Van c6 mgt so vien bi.

tong so bi cua ba ban con lai.
. So .bi cua H ung bang

.

So bi cua Van gap 3 1an so bi
H.u n g 20 vien bi.

24

Nam,

-�

2_

So bi cua

gap nam !an s6 cay

Dung ban g

ton g so bi c u a b a b a n co n lai.

5

.

.

.

cua �am. Tinh so bi cua moi b�n� biet DOng c6 n hi e u hon

Rise above oneself
and grasp the world

�
4

so lC1n han so be Ia 1 2 ddn vi..

Archimedes School
AschooLedu.vn

·

.


bim do ti
M(?t so ba i toa n c6 ldi

t h u ¢c la n n ha u thl ta c6 t h e

Vi df!. So k�o cu a N a m g a p

N a m c6 a x 2 (ca i kE;o) .

d� l

h Jqng c h ua biE�t ma ca c d� i

d�i l u'<;n g a6 q ua cac c h v so a; b ; . . .

d6 ph'-:J

vi I a

ma n h dat hi

L3 bao

so kt;o c u a B! n h t hl ta c6 t h e gQi Bl n h c6 a (cai k�o) ,

Ngan tren n hif�u hon n g a n d udi 1 2 q u yen sach thl ta c6 the 99i ngan duai c6 x (q uyen),

ngan tren c6 x + 1 2 (quyen).

•

M9t

so

ky nan g can

n h a khi d9i so h6a: Chuyen ve aoi dau, tfch ch eor n h a n p h a

n go�ci cu n g nhan h o�c cu ng chia 2 v e vdi m ¢t so k h a c 0 .

Vf dv 1 . H i$n nayI t u oi c u a b6 g ap sa u l a n t u o i cua Nam, tu6i cu a o n g gap h a i l a n t u o i

cua bo. B iet tu6i cu a N a m it h on t u o i c u a o n g
Gqi s o tuoi cua

Ia 5 5 tuoi. Tfnh tuoi moi n g uoi h i�n

Ba i g i a i

N a m : a (tuoi); s o tuoi cua bo: a X 6 {tuoi); s 6 tu6i cua ong : a X

Ta c6: a x 1 2 - a =· 5 5

nay.

1 2 ( t u o i)

.

a == 5 5 : 1 1
a=S

Nam Ia s t u o i

Tuo i bo Ia: s x 6 =

Tuoi o n g

Ia: 5 x

.

30 (tuon

1 2 == 60 ( t uoi)

Bap so: Nam: 5 tuoi; bo: 30 tuoi; ong:

vr d\J 2. 56 Sikh n gii n t re n bl'mg

:

60 tuoi

s6 sckh n giin du'Oi. Ne'u them

tren va b6t di 1 0 q u yen a ngan d uoi thl so sach n ga n tren ba ng
-

Hoi moi ngan c6 bao nhieu q uyen sach?

Bai giai

Luc da u: Ngan tren 4 x a (quyen); ng�n du&i

s

x a (quyen)

20 q uyiln vao

.�
22

Luc sau: N gan tren 4 x a + 20 (quyen); n g a n d u6i -5 x a - 1 o (quyen)

Ia

64km : B i et c h h � u d a i

gap b a !a n chieu r<)n g . Hoi tren ban ao ti I� 1 : SOOOO thl khu con g nghi$p d6 c6 di�n tkh

a x 1 1 == 55

V�y t u o i

B a i 3 8 .. M¢t k h u con g n g h i$p hl n h ch C! n h �t co c h u v i

nga n

50 sach ngan d uoi.

Ia

ba o n h i e u xang-ti-met vu 6 n g ?


Toa n 5

ARCHI MEDES SCHOOL

Blti 39. MQt tn.tdng c6 1 200 h<;>c sinh, trong d6 sO h<;>c s i n h
h <;>c s i n h; sO h<;>c s i n h kha chii!m

�

g i 6i c h i i!m

!

-

Quy�n

1

t6n g sO

tOng sO h<;>c s i n h; cOn l�i Ia h <;>c s i n h tru n g bl n h

.

Tfn h so h 9c s i n h t ru n g bl n h cu a tn.iong d6.

Bai 1 1-9.

C6

hai d¢i t h a m g i a lam dliong. f)o�n duang

dvang d(>i 1 1 lam . Neu d(>i 1 l a m them

b�lng

Blti 40.

KhOi 5 c6 t3t c:a 240 h9c s i n h . Trong mQt bu6i l a o dQn g c6

quet siln tnrCmg,

�

sO hoc sinh dang tr6ng cay,

�

�

� � q ua ng duon g d(>i

H

15m dvang

d¢i I l a m dtJQc ban g

n ua thl dogn duon g

d(>i

: ao� n

I lam duqc

la m. Hol m oi d9i la m duqc bao n h ieu met duang?

sO hoc sin h dang

sO hQc sinh dang xi!p bim ghe, cOn l�i

Ia h Qc s i n h tvoi cay. Hoi co bao nhieu hQc si n h tvoi cay?

Bai 1 20.

Bid 41 . Huy c6 45 vi en bi g6m ba mau: xa n h, ao, van g. Biet so bi x a n h chi em ..:!. tong
s6 bi, _s6

bi 06 b3n g

26 1 Rise

�

3

Trang cau l ac b6 kh oa hocr
.

.

.

.2_
5

so h oc s i n h nam bang

th e m 1 6 h q c s i n h n a m thi so h Qc sin h n a m gap b a
SO hQC sinh trong ca u

I9C bQ khoa hQC do.

.

lan

� so hoc s i n h n cr. Neu.
11

.

so h Qc sin h nu. Tin h

tong

sO bi mau xa n h. HOi H uy c6 bao n h ieu vien bi m a u vil ng?

above oneself
and grasp the world

Archimedes School
AschooLedu.vn

·I

59


45

m
' 3
so I a - .
,.E

vao

tl

2

1

- so g a. o
�'

va

�

2

'

va

kg g;:to. HOi lil n th lr tti nglidi

21 kg g�o.

ba

06 ba n bao

1

-

2

so
"'

con l � i sau

I an

ki-16-gam 990?

------- -------�-----

Ba i

11

c o n bang

T�oi con h i�n n a y ban g

-�
3

h i e u so tuoi c u a
.

va con thl b6 b ao n h ieu tuoi?

; h i$u s6 tuoi

bo va con . Hoi

cu a b 6 va con . Bon na m tn.t6'c, tuo i

khi tuoi c o n b a n g

_!_
4

h ieu
. so tuoi c u a b o

Bai 43 .

Bai 1 1 8.

M¢t g ia sach gom hai ngan. So

sach a ngan tren bang �

c6 baa nh h?u q uyen?

..:!_
4

s6 dua, ran th lt h a i ba n

l�i t hl con 1 50 qua d ua. H oi ban dau n g uoi d6 c6 ba a nh it?u q u a d ua?

_!_
2

so d ua con

so sach a ngan duaL

Neu xep t h e m 1 2 quyen sach vao n ga n tren thl so sach a n ga n tre n b�n g

ngan duaL Hoi l u c aau moi n gan

Mot
. n guai ban ·d ua," i a n thU' nhat b a n

?_
9

so sach &

I