keleri . pfafi
მოსწავლის რვეული
ელფის გამომცემლობა
.
karl-hainc keleri peter pfafi
მოსწავლის რვეული saredaqcio kolegia: germanuli mxare: vibke meieri, hendrik simoni, nina simoni (redaqtorebi); krista miuleri (fsiqologi), kornelia ziberi (konsultanti); Sps tif-eni, berlini / mario kuxinke-hoferi, miriam frici (ilustraciebi); Sps tif-eni, berlini /martin adami (fotoebi); Sps tif-eni, berlini (dizaini). helme haine (sagamomcemlo jgufi `belci~). qarTuli mxare: irma lazaria (mTavari redaqtori); leila kirTaZe (stilist-redaqtori), dali kereseliZe (mTargmneli), TinaTin didebuliZe (proeqtis xelmZRvaneli), naTia mzeqalaSvili (teqnikuri redaqtori), inga lazaria (redaqtori).
გრიფმინიჭებულია საქართველოს განათლებისა და მეცნიერების სამინისტროს მიერ 2018 წელს
yvela ufleba daculia germanuli saavtoro ufleba: © Mildenberger Verlag GmbH Offenburg/Germany, 2016 qarTuli saavtoro ufleba: © elfis gamomcemloba, 2016
ISBN 978-9941-475-08-5 gamocema: pirveli weli: 2018
www.mathematics.elf.ge misamarTi: kartozias q. 8 # Tbilisi 0177 telefoni: (032)2923570 elfosta: office@elf.ge
სახელი, გვარი:
სკოლა:
სასწავლო წელი:
gameoreba da ganmtkiceba 1
>, < Tu = ? 4
7
0
4 + 6
13
7
17
18
20
12
10
1
13
19
9
5
5
b)
6 = 4 + 6 =
b)
10 + 2
2 + 5
18
11 + 4
9
6 + 4
14
13 + 6
10
1 + 8
19
12 + 7
+ 3
8= 1 + 8=
g)
+ 5
d)
9= 3 + 9=
d)
+ 5
10 = 6 + 10 =
+ 7
6 = 1 +
8= 6 +
9= 1 +
10 = 2 +
6 =
8=
9=
10 =
+ 1
3
5
a)
+ 6
+
3
4
+ 4 b)
5
−
d)
2
4
+ 9 g)
6
9 19
3 13 −
4
6
e)
8
5
6
v)
7
−
4
3
9
6 8 13
a)
+ 5 15
+
8 13 15 4
13
g)
Cawere gamotovebuli ricxvebi. a)
3
8
11
a)
2
moswavlis wigni gv. 6-8
9 2
13
7
17
b)
g)
d)
8 4
5
6
3
e)
4
3
6
9
4
v)
2 z)
7 2 5
1
4
3
1
2
4
daasrule mimdevroba. a)
2
3
5
b)
5 2
4
gameoreba da ganmtkiceba 1
iangariSe swrafad. a)
2
3
4
moswavlis wigni gv. 9
a)
a)
5+ 4 =
b)
8 + 2 =
g)
2+ 7 =
d)
9− 5 =
15 + 4 =
18 + 2 =
12 + 7 =
19 − 5 =
6+ 3 =
4 + 6 =
9+ 1 =
6− 2 =
16 + 3 =
14 + 6 =
19 + 1 =
16 − 2 =
9+6=
b)
6 +6=
g)
8+4=
d)
13 − 6 =
9+7=
6 +7=
8+5=
13 − 7 =
9+8=
6 +8=
8+8=
13 − 8 =
9+9=
6 +9=
8+9=
13 − 9 =
8+ 8 =
b)
7+ 9 =
g)
6+ 2 =
d)
20 − 3 =
10 + 6 =
9+ 7 =
6+ 4 =
10 − 3 =
12 + 4 =
11 + 5 =
6+ 6 =
20 − 9 =
14 + 2 =
5 + 11 =
6+ 8 =
10 − 9 =
Seadgine magaliTebis ojaxi: 7
13
15
6
6
6
8
9
14
5
14
19
6 + 7 = 13
5
>, < Tu = ? a)
12
7 + 6
9
10 − 2
16
9 + 8
< 11 + 9
8
11 − 4
17
11 + 7
< 14 − 4
13
19 − 6
20
6 + 12
< 12 + 3
7
12 − 7
9
15 + 3
> 16 + 2
11
20 − 7
5. b SesaZlebelia ramdenime amonaxsni.
b)
> 10 + 5
g)
3
gameoreba da ganmtkiceba 1
moswavlis wigni gv. 10-11
rogor gadaixdi? daalage da Cawere. 6
2 13
14
2
5
Tu yidulob 20-lariani banknotiT, ramdens dagibruneben? a)
b)
g)
5
20
−
13
=
damibruneben
−
6
=
damibruneben
lars. 3
7
−
=
damibruneben
lars.
lars.
ganagrZe mimdevroba. a)
b)
4
a) meoreklasel
6 gogonas da 8 biWs uyides axali skamebi. ramdeni axali skami iyides sul?
iyides 4
axali skami.
b) klasSi Sesacvlelia 12 merxi.
7 merxi ukve Secvales. ramdeni merxi darCa Sesacvleli?
Sesacvleli darCa
magida.
grovebi 100-is farglebSi / aTeulebi 1
Semoxaze aTeuli. ramdeni aTeulia? a)
b)
40 +
2
+
=
+
4 aT. + 8 erT. =
aT. +
erT. =
aT. +
= erT. =
warmoadgine mocemuli ricxvebi grovebiT. Casvi gamotovebuli ricxvebi. b)
40 + 5 = 4 aT. + 5 erT. =
g)
30
+
aT. +
=
+
erT. =
aT. +
2
= erT. = 67
daakavSire ricxvebi Sesabamis sityvebTan. 10
50
70
samocdaaTi
40
aTi
oTxmocdaaTi
4
g)
=
8
a)
3
moswavlis wigni gv. 12-13
90
g)
50
40
ormoci
80
70
60
90
40
20
30
30
60
50
10
100
10
30
d)
70
60
90
90
20
80
100
70
60
oci
samoci
5
b)
30
ormocdaaTi
>, < Tu =â&#x20AC;&#x2030;? a)
20
80
100
ocdaaTi oTxmoci
asi
SeaerTe aTeulebi TanmimdevrobiT. daiwye umciresi ricxvidan. 10 20
60
40 30 50
90
70 80
100
5
ricxvebis wakiTxva
moswavlis wigni gv. 14
1
21
1
ricxviT mwkrivSi Cawere gamotovebuli ricxvebi.
2
TiToeuli ricxvi Cawere sityvierad.
3
28 ocdarva
63
76
58
44
85
97
39
23 26
30 31 33 34
waikiTxe da miuwere Sesabamisi ricxvi. samocdaoTxi
asi
ocdacameti
oTxmocdaTerTmeti
cxrameti
ormoci
samocdaxuTi
samocdaTormeti
oTxmocdaTvrameti
38
42 44 4
TiToeuli feradi baraTisTvis ipove Sesabamisi baraTi da gaaferade imave ferSi. 36
96 95
5 aT. + 8 erT. samocdaCvidmeti
93 91
3 aT. + 6 erT.
samocdaaTi
96
77
8 aT. + 0 erT.
4 aT. + 3 erT.
ormocdaTvrameti
6 aT. + 8 erT.
70
54
7 aT. + 7 erT.
68
41
ormocdaToTxmeti
59
5 aT. + 9 erT.
43
55 56 57
3 aT. + 2 erT.
oTxmocdaTeqvsmeti
60
86 84 83 6
50 52
oTxmoci
2 aT. + 3 erT.
ocdaTormeti
ocdasami
46
80
77
73
70
68
65
63
aseulis veli 1
ra ricxvebia aq warmodgenili? Cawere. a)
2
moswavlis wigni gv. 16-17
b)
b)
warmoadgine mocemuli ricxvebi aseulis velSi da gaaferade. a)
b)
g)
34 3
66
d)
78
97
ramdeni aTeuli da erTeuli dagWirdeba aseulis velSi am ricxvebis warmosadgenad? a)
4
g)
52 =
aT. +
erT.
33 =
aT. +
erT.
61 =
aT. +
erT.
50 =
aT. +
12 =
aT. +
erT.
93 =
26 =
aT. +
erT.
59 =
aT. +
erT.
b)
11 =
aT. +
erT.
erT.
100 =
aT. +
erT.
aT. +
erT.
40 =
aT. +
erT.
74 =
aT. +
erT.
87 =
aT. +
erT.
28 =
aT. +
erT.
99 =
aT. +
erT.
g)
romeli ricxvebis warmodgena SegiZlia qvemoT mocemuli masaliT? ipove ramdenime SesaZlebloba. a)
b)
7
savarjiSoebi ricxviT sxivze 1
ra ricxvebia? baraTebze Cawere. 0
2
10
20
30
40
50
60
70
80
90
100
daakavSire baraTze mocemuli ricxvebi ricxviT sxivTan. 0
10
27 3
moswavlis wigni gv. 18
20
30
40
50
49
33
60
70
58
42
80
90
100
64
96
85
daalage klebis mixedviT. daiwye udidesi ricxviT. gamoiyene >. 44
98
67
73
8
90
59
81
98 > 4
Cawere mocemuli ricxvis wina da momdevno ricxvi. a)
5
b)
67
g)
78
23
39
92
80
46
50
11
36
b)
20 21 41
g)
65
92
78
53
100
37
86
romel aTeulebs Sorisaa mocemuli ricxvi? daakavSire. 0
10
36 8
64
Cawere gamotovebuli ricxvebi. a)
6
d)
85
20
11
30
66
40
50
59
60
95
70
80
73
90
88
100
97
saganTa zomebis Sedareba 1
moswavlis wigni gv. 19-20
daalage gasaRebebi sididis mixedviT. daiwye yvelaze patara gasaRebiT. gamoiyene <.
5
3 4
1
2
3< 2
gazome sagnebis sigrZe TiTiT.
3
gazome warmodgenili sagnebi lentiT da daajgufe sididis mixedviT. 2
grZe agidis si
m
Seni
Seni velosiped
is sigrZe
3
meg sima obris Rl e karis
1
saklaso oTaxis sigrZe
4
7
4
skolaSi yvelaze didi mcenaris simaRle
e
simaRl 6
dafis sigrZe 5
gaavle mocemuli raodenobis ujrebis Sesabamisi xazebi. a)
=
9 ujra
b)
= 1 5 ujra
g)
= 1 0 â&#x20AC;&#x160;ujra
9
sigrZis sazomi arastandartuli erTeulebi 1
mosw. wigni gv. 20-21
romelia ufro grZeli? jer Seafase Semdeg gazome TiTis siganiT, cidiT an nabijiT. sagnebi
SefasebiT
nabijiT an cidiT
Cemi oTaxis karis sigane maTematikis wignis sigane CanTis sigane fanjris rafis sigane fexburTis karis sigrZe saklaso merxis sigane saklaso merxis sigrZe penalis sigrZe Seni simaRle flomasteris sigrZe wylis Wiqis sigrZe
2
sinamdvileSi ra zomisaa sagnebi? aRniSne ` a)
g)
3
4 cida
b)
6 mklavi
10 cida
10 mklavi
7 cida
1 cida
d)
7 TiTi
3 cida
11 TiTi
5 cida
15 TiTi
gazome sagnebi TiTis siganiT an cidiT. a)
10
2 mklavi
~ - iT.
b)
g)
d)
e)
erTeulis mimateba da gamokleba 1
jer Sekribe erTeulebi. a)
54 + 5 =
b)
g)
73 + 5 =
d)
56 + 3 =
12 + 7 =
26 + 2 =
45 + 4 =
86 + 2 =
63 + 6 =
41 + 7 =
71 + 9 =
b)
a)
d)
57 2 5 8 1 52 4 3 7 6
87 2 6 7 4 81 5 8 1 3
g)
63 7 2 4 5 61 3 1 6 0
76 1 3 7 5 73 4 2 0 6
jer gamoakeli erTeulebi. a)
38 − 3 =
b)
29 − 6 =
g)
66 − 4 =
d)
74 − 2 =
97 − 5 =
58 − 8 =
79 − 7 =
36 − 3 =
49 − 9 =
88 − 7 =
b)
a)
26 − 4 =
87 − 6 = 4
5
88 + 1 =
21 + 8 =
2
3
moswavlis wigni gv. 26-28
d)
42 2 6 8 4 48 7 1 3 5
67 4 2 8 6 69 3 1 7 5
g)
98 4 1 8 6 99 3 5 7 9
52 2 6 5 4 58 0 1 3 7
ipove xuTi Secdoma da gaaswore. a)
43 + 4 = 46
47
b)
57 − 5 = 53
g)
47 − 2 = 45
68 + 1 = 69
89 − 2 = 87
26 + 3 = 29
72 + 5 = 87
74 − 3 = 44
71 + 9 = 79 11
mimateba-gamokleba _ analogiuri magaliTebi 1
iangariSe ditos gziT. a)
g)
2
13 + 2 =
22 + 7 =
33 + 2 =
52 + 7 =
63 + 2 =
72 + 7 =
93 + 2 =
92 + 7 =
5+ 3 =
d)
13 + 2 = 16
dito
7+ 2 =
3+ 4 =
e)
35 + 3 =
17 + 2 =
23 + 4 =
55 + 3 =
37 + 2 =
83 + 4 =
75 + 3 =
47 + 2 =
53 + 4 =
45 + 3 =
77 + 2 =
63 + 4 =
56 +
= 58
62 + 71 +
82 +
= 86
= 67
77 +
= 77
86 +
b)
35 +
= 37
= 79
42 +
= 48
= 88
53 +
= 55
g)
iangariSe ninos gziT. a)
7 − 5 =
b)
9−2=
9 −4=
d)
8−6=
29 − 2 =
49 − 4 =
38 − 6 =
47 − 5 =
79 − 2 =
69 − 4 =
58 − 6 =
77 − 5 =
89 − 2 =
79 − 4 =
88 − 6 =
97 − 5 =
99 − 2 =
99 − 4 =
68 − 6 =
4
27 − 5 = 24
g)
nino
g)
27 − 5 =
7−5= 4
12
3 +2= 6
2+ 7 =
b)
ipove ucnobi ricxvi. a)
3
3+ 2 =
mosw. wigni gv. 29-30
ipove ucnobi ricxvi. a)
48 −
= 42
69 −
= 63
65 −
= 61
79 −
= 74
37 −
= 31
88 −
= 85
55 −
= 53
99 −
= 92
b)
86 −
= 83
95 −
= 91
89 −
= 82
87 −
= 84
89 −
= 84
37 −
= 31
35 −
= 33
d)
e)
Sevseba aTeulebamde _ analogiuri magaliTebi 1
ganagrZe. a)
b)
13 + 7 = 23 + 7 =
2
5 + 15 =
32 + 8 =
5 + 25 =
+
=
+
=
+
=
+
=
+
=
+
=
+
=
+
=
+
=
13 + 7 = + =
b)
+
=
+
13
27
+
=
=
+
=
g)
32
8
+
=
+
=
+
=
+
=
+
=
+
=
4 53
18 7 56
72 82
16
17
28 3
23
ipove ucnobi ricxvi. a)
4
g)
12 + 8 =
SearCie buStebis wyvilebi ise, rom Seivsos aTeulebamde. Cawere Sesabamisi magaliTebi. arsebobs sxvadasxva SesaZlebloba. a)
3
mosw. wigni gv. 31
26 +
= 30
5+
= 40
43 +
= 50
+ 53 = 60
+ 2 = 80
7+
= 80
82 +
= 90
+ 65 = 70
+ 4 = 60
3+
= 20
73 +
= 80
+ 28 = 30
+ 5 = 90
4+
= 30
17 +
= 20
+ 49 = 50
+ 1 = 70
8+
= 70
b)
+ 37 = 40
+ 7 = 50
g)
d)
Cawere Sesabamisi ricxvi. a)
16 23 45 76 34
+ + + + +
20
a)
46
−
40
g)
7
+ +
30
55 −
50
9
50
69 −
60
57 −
80
77 −
70
19
40
93 −
90
34 −
+
20 30 40 30 20 13
aTeulebis Sekreba 1
moswavlis wigni gv. 33
Sekribe da iangariSe ricxviT sxivze. +4
5 + 4 0
5
0
50
9
10
50 + 40 100
1 + 5 0
10
0
100
0
10
0
100
10 + 50 3 + 7 30 + 70 2
iangariSe. a)
3+ 2=
b)
3
4
4+
5 =
40 +
=
v)
3+
4 =
30 +
=
z)
3+
5 =
30 +
=
8+
0 =
80 +
=
2+
d)
T)
5 = 7
+
=
2+
7 =
+
=
Cawere gamotovebuli ricxvebi.
0
3
6
_
1
3
5
_
_
0
30
_
_
10
_
_
_
_
iangariSe. a)
14
g)
20 + 40 =
30 + 20 = e)
2+ 4=
10 + 50 =
b)
50 + 40 =
g)
30 +
= 70
d)
20 +
= 90
40 + 30 =
30 + 60 =
40 +
= 80
30 +
= 80
60 + 10 =
40 + 40 =
50 +
= 90
40 +
= 70
aTeulebis Sekreba-gamokleba 1
a)
moswavlis wigni gv. 34-35
2 aT. + 5 aT. =
b)
4 aT. + 2 a T. = 6 aT.
4 0 + 2 0 = g)
d)
3 0 + 2 0 = 2
3
a)
60 + 20 =
50 + 10 =
b)
10 + 70 =
g)
20 + 70 =
50 + 10 =
60 + 60 =
10 + 80 =
40 + 40 =
80 + 20 =
80 + 50 =
a)
b)
8 a T. − 2 aT. =
9 0 − 6 0 =
g)
5
a)
d)
90 − 30 =
b)
50 − 40 =
g)
− 5
6
90 − 50 =
d)
=
140 − 60 =
80 − 60 =
60 − 30 =
60 − 10 =
110 − 50 =
50 − 20 =
90 − 70 =
90 − 80 =
130 − 40 =
a)
b)
g)
d)
50 40 6
70 + 40 =
30 + 40 =
8 0 − =
4
d)
20
10
40
10
10
30
20
90 60 20
ocma meoreklaselma kedlis morTva gadawyvita xelis feradi anabeWdebiT. marjvena xeli yvelam wiTel saRebavSi Cayo, marcxena – lurjSi, Semdeg ki kedels miades. a) ramdeni
lurji da wiTeli xelis anabeWdi darCeba kedelze?
kedelze darCeba
anabeWdi.
b) ramdeni
lurji TiTis anabeWdi darCeba kedelze?
kedelze darCeba
anabeWdi. 15
fuli 1
moswavlis wigni gv. 36-38
ramdeni TeTria sul? a)
b)
g)
TeTri 2
TeTri
b)
TeTri
g)
d)
g)
d)
Seadgine 1 lari monetebiT. Caxate. a)
b)
1 4
TeTri
ramdeni laria sul? a)
3
d)
1
1
1
daSale monetebi. a)
b)
g)
− 3 1 −
16
3,4. SesaZlebelia ramdenime amonaxsni.
monacemTa Segroveba da warmodgena 1
moswavlis wigni gv. 39-41
dabadebis dReze lelam 11 Tanaklaseli dapatiJa. daxate Sesabamisi diagrama. biWebi
gogonebi
biWebi gogonebi
2
lelam darbazis mosarTavad 30 buSti iyida. a) Seitane
cxrilSi buStebis mocemuli raodenobebi.
wiTeli yviTeli
wiTeli yviTeli buStebi buStebi
mwvane
mwvane buStebi
iisferi buStebi
cisferi buStebi
iisferi b)
lurji
3
aTma bavSvma tafaze Semwvari TiTo-TiTo sosisi miirTva, orma ki _ or-ori sosisi. samma bavSvma amjobina Samfurze Semwvari mwvadi. oTxma ki mayalze Semwvari TiTo-TiTo kartofili gainawila. garda amisa, nakverCxalze Sewves simindis sami taro da oTxi didi soko. Seitane raodenobebi cxrilSi da Seqmeni Sesabamisi diagrama. sosisi
sosisi
mwvadi
mwvadi
kartofili simindis taro soko
4
daxaze diagrama lurji buStebis Tvis. raodenoba Seitane cxrilSi.
kartofili simindis taro soko
dabadebis dReze anam dapatiJa 8 Tanaklaseli biWi da 4 gogona. gamosaxe xazebiT an diagramiT. biWebi gogonebi
1-3. TiToeuli bavSvisTvis gankuTvnilia erTi ujra.
17
ricxvebis Sedareba | Sekreba-gamokleba 1
>, < Tu = ? a)
2
27 − 4
25
50
56 − 3
68 + 1
60
22 + 7
25
35 + 3
37
40 + 10
b)
17
15 + 3
52
48
74 − 1
72
98 − 8
90
g)
50
40 − 20
44 + 4
76
78 − 4
39
31 + 6
25
25 − 5
84
80 + 5
90
d)
30 + 40
40 + 30
70 − 50
28 − 6
56 + 3
20 + 30
78 − 4
40 + 40
42 + 8
67 + 2
30 + 50
a)
b)
100 − 30
80 − 10
77 − 5
71 + 3
39 − 9
90 − 60
86 + 3
89 − 0
50 − 20
38 − 5
49 − 4
42 + 5
b)
20
2
3
g)
5
e)
1
31
3
d)
66
34
2 T)
74
60
2
20
3 2
z)
2
53
1
6 2
Seadgine Sekrebis magaliTebi. 54
40 70
23 42
14
7 30
61
a)
9 5
54 + 7 = + =
b)
+
=
+
=
+
=
+
=
g)
+
=
+
=
+
=
+
=
+
=
+
=
−
=
−
=
Seadgine gamoklebis magaliTebi. 5
90 59 87
36
40
28 20 40
18
72
v)
20
5
9
50 + 30
g)
4
4
100
>, < Tu = ? a)
3
moswavlis wigni gv. 42-43
7 3
a)
−
=
−
=
−
=
−
=
−
=
−
=
−
=
−
=
−
=
−
=
b)
g)
kviris dReebi, Tveebi, TariRebi 1
kviris ra dRe iyo guSinwin? ra DdRe iqneba zeg?
a)
2
moswavlis wigni gv. 46-47
guSinwin
dRes
kvira
samSabaTi
b)
oTxSabaTi
g)
paraskevi
d)
kvira
e)
SabaTi
v)
xuTSabaTi
zeg
Cawere kalendarSi Semoxazuli dRis TariRi orgvarad. 1 ianvari 2019, 01.01.2019 ka le n d a r i 2019 oMr sDa m oMT xDu T pFa r Sa b kv
3
oMr sDa m oMT xDu T pFa r Sa b kv
kviris ra dRe iqneba 2019 wels Semdegi dReebi? a) 19
aprili
2 seqtemberi 14 marti
4
b) 01.05
26. 01.
30. 07.
oMr sDa m oMT xDu T pFa r Sa b kv
ianvari
aprili
ivlisi
oqtomberi oMr sDa m oMT xDu T pFa r Sa b kv
Te b e r v a l i
maisi
a gv i s t o
noemberi
marti
ivnisi
seqtemberi
d ek e m b e r i
a) 2019
wlis romel TveSia mxolod 4 kvira dRe? ianvari
b) 2019
wlis romel TveebSia xuTi kvira dRe?
g) Cawere
oqtombris kvira dReebis TariRebi. 06. 10. 2019, 19
aseulis dafa 1
moswavlis wigni gv. 48-50
ra ricxvebi imaleba naxatebis qveS? 1
2
3
4
5
7
8
9 10
11 12 13
20 30
2
3
aseulis dafaze dawere mocemuli ricxvebi: a) lurjad: 35, 55, 85, 95 b) wiTlad: 81, 84, 86, 89
g) mwvaned:
27, 50, 61, 100
Cawere gamotovebuli ricxvebi. a)
b)
26
g)
52 83 d)
e)
12
v)
54 48
z)
74 4
20
sad midixar? saidan gadixar? a) 83
b) 6
25
71
1
100
35
55
g)
99
aTeulis mimateba 1
mosw. wigni gv. 51-54
aseulis dafaze feradi isrebiT warmoadgine Sekrebis magaliTebi da Cawere Sedegebi.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19 20
3 + 30 = 15 + 40 =
21 22 23 24 25 26 27 28 29 30
29 + 50 =
31 32 33 34 35 36 37 38 39 40 41
42 43 44 45 46 47 48 49 50
51
52 53 54 55 56 57 58 59 60
32 + 40 = 47 + 50 = 64 + 20 =
61 62 63 64 65 66 67 68 69 70
76 + 20 =
71 72 73 74 75 76 77 78 79 80
35 + 30 =
81 82 83 84 85 86 87 88 89 90
24 + 50 =
91 92 93 94 95 96 97 98 99 100 2
a)
+
b)
40 20 50
43 27 36 a)
3
a)
+
30 10 40
g)
b)
50
24 39 41
58 12 45
62 + 30 =
+
20 + 51 =
g)
43 +
= 73
44 69
d)
31 +
= 81
40 + 48 =
35 + 40 =
58 +
= 68
15 +
= 95
50 + 17 =
63 + 20 =
24 +
= 94
66 +
= 86
41 + 50 = 41 + 40 =
b)
34 + 20 = 34 + 30 =
g)
27 + 20 = 37 + 20 =
+
=
+
=
+
=
+
=
+
=
+
=
41 + 10 =
34 + 60 =
67 + 20 =
21
moswavlis wigni gv. 55-57
aTeulis gamokleba 1
aseulis dafaze feradi isrebiT warmoadgine gamoklebis magaliTebi da Cawere Sedegebi.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17 18 19 20
97 − 60 = 84 − 50 =
21 22 23 24 25 26 27 28 29 30
76 − 40 =
31 32 33 34 35 36 37 38 39 40 41
42 43 44 45 46 47 48 49 50
51
52 53 54 55 56 57 58 59 60
68 − 30 = 59 − 30 = 43 − 20 =
61 62 63 64 65 66 67 68 69 70
37 − 20 =
71 72 73 74 75 76 77 78 79 80
28 − 10 =
81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 2
a)
−
b)
20 40 30
58 74 85 d)
−
30
e)
40
4
22
77 − 30 =
37
28
b)
63 − 40 =
−
10 20
50 63
0 81
v)
50
83 43 67 75
54 a)
−
g)
20
77 94 44 68
62 88
3
−
15 g)
− 46 26 79 69 81 51
62 −
= 22
d)
76 −
= 56
56 − 20 =
82 − 70 =
88 −
= 8
95 −
= 5
95 − 60 =
93 − 50 =
51 −
= 11
69 −
= 49
gias 63 stikeri aqvs. 20 stikeri nenes aCuqa. ramdeni stikeri darCa gias? pasuxi:
aTeulis mimateba-gamokleba 1
mosw. wigni gv. 59
warmoadgine magaliTebi saangariSo xaziT. +10
+10
+10
57 + 30 = 57
_
_
31 + 50 = 31 33 + 40 = 62 + 20 = –10
–10
–10
99 − 30 = _
_
99
84 − 20 = 84 48 − 50 = 62 − 40 = 2
iangariSe. a)
3
27 + 60 =
b)
48 + 30 =
g)
48 − 20 =
d)
56 − 30 =
71 + 10 =
69 + 20 =
36 − 10 =
63 − 40 =
37 + 40 =
54 + 20 =
56 − 30 =
47 − 20 =
58 + 20 =
72 + 10 =
78 − 60 =
88 − 50 =
ipove ucnobi aTeuli. a)
27 +
= 57
54 +
= 74
31 +
= 81
57 +
45 +
= 95
51 +
b)
83 −
= 53
= 97
64 −
= 91
78 −
g)
39 −
= 9
= 24
92 −
= 12
= 58
61 −
= 21
d)
23
Sekreba aTeulis gavliT 1
a)
+
3
4
5
6
moswavlis wigni gv. 62-63
7
b)
8
36
+
8
64 58
62 g)
+
2
8
5
7
27
d)
9 30
+
9
65 6
49
9
4
52
7 54
92
Sesakrebebs Seucvale adgilebi da iangariSe. 8 + 25 =
a)
3
6
69
66 2
4
b)
6 + 73 =
g)
9 + 48 =
d)
27 + 4 =
67 + 4 =
5 + 56 =
67 + 3 =
7 + 38 =
36 + 7 =
47 + 8 =
5 + 26 =
9 + 45 =
9 + 54 =
4 + 69 =
8 + 77 =
56 + 6 =
amoxseni magaliTebi da gamoicani sityva. a
iP
j
b
m
z
31 52 53 61 74 75 51 + 2 =
4 + 27 =
7 + 24 =
68 + 7 =
5 + 69 =
4 + 48 =
52 + 9 = me var 4
da miyvars xumroba.
anas aqvs 48 wigni. dabadebis dReze aCuqes kidev 7 wigni. a) ramdeni
wigni aqvs anas?
b) ramdeni
wigni unda iyidos anam, rom 61 wigni hqondes?
pasuxi: .
pasuxi: . 24
moswavlis wigni gv. 64-65
gamokleba wina aTeulSi gadasvliT 1
a)
47 − 9 =
b)
d)
63 − 8 =
67 − 8 =
83 − 4 =
22 − 8 =
88 − 7 =
82 − 3 =
45 − 9 =
49 − 7 = d)
76 6 5 9 3 81 2 8 7 4
48 8 4 5 3 52 7 6 2 9
g)
39 7 2 4 8 41 9 6 5 3
67 3 6 5 9 73 8 4 2 7
ganagrZe ricxviTi mimdevroba. – 6 a)
– 6
b)
a)
– 6
74
26 – 7
– 8
– 7
81
21
−
3
4
5 46
6
7
b)
8
63 g)
−
3
73 41 5
36 − 8 =
b)
a)
4
g)
63 − 6 =
2
3
23 − 5 =
7
8
d)
4
68
−
8
6
34 71
29
−
6
4
7
62 3
5
7
54 46 32
79
78
ipove magaliTebis ojaxi. a)
38
5
43
38 + 5 = 5 +
b)
29
g)
8
29 + 8 =
56
63 +
=
=
+
=
+
=
− 5 =
−
=
−
=
−
−
=
−
=
= 5
25
saaTi da drois monakveTebi 1
daakavSire suraTi da dro erTmaneTTan. Caxate saaTis isrebi da Semoxaze. a)
23 sU aaTi
12 sU aaTi
b)
9 UsaaTi
19 sU aaTi
g)
8 UsaaTi
17 sU aaTi
d)
7 UsaaTi
3 UsaaTi
18 sU aaTi
6 UsaaTi
v)
16 sU aaTi
21 sU aaTi
21 sU aaTi
15 sU aaTi
e)
z)
2
T)
TiToeul saaTs miuwere dro orgvarad. a)
b)
g)
d)
e)
UsaaTi
UsaaTi
UsaaTi
UsaaTi
UsaaTi
UsaaTi
UsaaTi
UsaaTi
v)
26
moswavlis wigni gv. 72
z)
T)
UsaaTi
UsaaTi
k)
i)
UsaaTi
UsaaTi
UsaaTi
UsaaTi
UsaaTi
UsaaTi
UsaaTi
UsaaTi
UsaaTi
/
UsaaTi
moswavlis wigni gv. 73 1
romelia swori? aRniSne ` ~-iT. a)
8 UsaaTi
b)
15 UsaaTi
20 UsaaTi
23 UsaaTi
dRis
d)
19 UsaaTi
Ramis
e)
1 UsaaTi
7 UsaaTi
v)
4 UsaaTi
13 UsaaTi
dilis
16 UsaaTi
dRis
dRis
iangariSe drois Sualedi da Cawere. a)
b)
14 UsaaTi d)
18 saaTi
g)
7 saaTi e)
5 saaTi
22 saaTi 3
11 UsaaTi
3 UsaaTi
saRamos
2
g)
saaTi
12 saaTi
8 saaTi saaTi
16 saaTi
7 saaTi
11 saaTi v)
saaTi
3 saaTi saaTi
saaTi
a) gigi
b) melaZeebis ojaxma qalaqgareT
ramden xans iyo gigi fexburTis saTamaSod?
romel saaTze dabrundnen Sin?
15 saaTze fexburTis saTamaSod wavida da saxlSi 17 saaTze dabrunda.
pasuxi:
2. v SesaZlebelia mravali amonaxsni.
gaiseirna. isini saxlidan 10 saaTze gavidnen da 7 saaTis Semdeg dabrundnen.
pasuxi:
27
Sekreba-gamokleba saangariSo xaziT 1
moswavlis wigni gv. 76
iangariSe nenes msgavsad da gamosaxe saangariSo xaziT. + 10
53 + 12 =
+2
53
62 + 16 =
62 _2
35 − 22 =
_ 20 35
13 74 − 25 =
74 2
iangariSe Temos msgavsad da gamosaxe saangariSo xaziT. +4
34 + 44 =
+ 40
34 56 + 31 =
56
69 − 35 =
_ 30
_5 69
76 − 43 = 76 b)
3
a)
28
35 6 12 75 22 23 66 31 53 44
72 77 7 66 11 79 55 22 44 33
d)
g)
40 68 9 64 14 31 54 27 43 35
86 71 2 68 13 88 57 24 46 35
orniSna ricxvebis Sekreba aseulis dafaze 1
magaliTebi feradi isrebiT warmoadgine aseulis dafaze da gamoicani samizne ricxvi. 37 + 21 =
a)
b)
44 + 22 =
64 + 25 =
62 + 26 =
26 + 42 =
35 + 33 =
32 + 45 =
53 + 25 =
mosw. wigni gv. 77-78
1
2
3
4
5
6
7
8
9 10
11
12
13
14
15
16
17
18
19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46
47 48 49 50
51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
2
amoxseni Seni gziT. 36 + 32 =
a)
3
a)
b)
15 + 14 =
27 + 22 =
d)
82 + 16 =
43 + 43 =
24 + 31 =
31 + 33 =
27 + 32 =
51 + 27 =
34 + 33 =
44 + 41 =
62 + 26 =
74 + 14 =
55 + 54 =
51 + 22 =
64 + 34 =
+
12 23 34 41
b)
25 33 42 4
g)
+
11 22 33 44
16 44 52
g)
+
16 27 38 49
12 39 42
amoxseni magaliTebi da gamoicani sityva. a
dP
v
z
i
n
o
r
27 39 47 56 68 79 85 97 26 + 13 =
14 + 13 =
46 + 22 =
26 + 21 =
53 + 26 =
55 + 42 =
62 + 23 =
36 + 32 =
25 + 31 = me var romelic gadaSenda. 29
orniSna ricxvebis gamokleba aseulis dafaze 1
magaliTebi warmoadgine aseulis dafaze feradi isrebiT da gamoicani samizne ricxvi.
1
2
3
4
5
6
7
8
9 10
11
12
13
14
15
16
17
18
19 20
76 − 42 =
21 22 23 24 25 26 27 28 29 30
95 − 44 =
85 − 53 =
31 32 33 34 35 36 37 38 39 40
67 − 33 =
69 − 47 =
41 42 43 44 45 46
58 − 26 =
56 − 35 =
51 52 53 54 55 56 57 58 59 60
89 − 27 =
a)
mosw. wigni gv. 79-80
b)
47 48 49 50
61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 2
amoxseni Seni gziT. 96 − 34 =
a)
3
a)
b)
68 − 47 =
d)
99 − 71 =
49 − 46 =
76 − 42 =
39 − 21 =
74 − 31 =
37 − 26 =
68 − 35 =
59 − 41 =
57 − 46 =
54 − 41 =
59 − 28 =
49 − 11 =
−
11 22 33 44
b)
− 99 68 57
12 23 43 55
g)
− 85 78 67
iangariSe da gamoicani zRapris gmirebis saxelebi. a
n
u
r
w
d
27 35 43 52 64 75 97 − 33 =
88 − 24 =
86 − 43 =
69 − 17 =
87 − 52 =
87 − 44 =
49 − 22 =
98 − 34 = 75 − 32 =
30
87 − 56 =
85 − 42 =
98 77 65 4
g)
99 − 24 =
59 − 24 =
58 − 31 =
48 − 21 =
13 25 37 45
orniSna ricxvebis Sekreba saangariSo xaziT 1
mosw. wigni gv. 81
iangariSe lados msgavsad da warmoadgine saangariSo xaziT. + 10 +5 48 + 15 = 48
58
63
67 + 24 = 19 + 73 = 36 + 37 =
2
iangariSe Teonas msgavsad da warmoadgine saangariSo xaziT. + 10 +5 48 + 15 = 48
53
63
68 + 24 = 34 + 17 = 15 + 19 =
3
iangariSe Teonas msgavsad da warmoadgine saangariSo xaziT. +3
57 + 28 = 79 + 16 =
57
+ 20
60
+5
80
85
66 + 36 = 32 + 39 =
31
orniSna ricxvebis Sekreba saangariSo xaziT 1
iangariSe lados an Teonas msgavsad. a)
66 + 27 =
b)
39 + 54 =
+ 27 +
4
+
+
+ +
+
39
+
47
b)
3 7 + 2 6 =
g)
2 4 + 5 8 =
4 5 + 3 9 =
3 7+
=
2 4 +
=
+
=
+
=
+
=
+
=
iangariSe Seni gziT. a)
2 7 + 3 8 =
b)
5 6 + 2 9 =
g)
3 5 + 4 7 =
d)
1 5 + 6 7 =
e)
4 8 + 2 3 =
v)
2 9 + 5 9 =
lizam, nikom da gigim Zvelmanebis bazrobaze saTamaSoebi da wignebi gayides. lizam 46 lari aiRo, nikom â&#x20AC;&#x201C; 28, xolo gigim â&#x20AC;&#x201C;17. ufro meti Tanxa aiRo, biWebma Tu lizam?
a) vin
b) ra
pasuxi:
pasuxi: .
32
47 + 18 =
iangariSe iraklis an beqas msgavsad. a)
3
g)
+
66 2
mosw. wigni gv. 82
Tanxa aiRo samivem erTad?
.
savarjiSoebi Sekrebaze 1
a)
moswavlis wigni gv. 83
b)
g)
d)
34 18
16
17
16
e)
19
11
3
a)
26
15
28
18
29
15
z)
15
b)
18
8
7
12
g)
6
17
8
d)
16
38
14
47
24 57
27 46
45 37
45 48
e)
3
19
v)
7 2
27
v)
z)
T)
66
28
24
29
19 25
47 36
47 39
42 57
amoxseni magaliTebi da gamoicani sityva. h
u
m
i
n
a
e
z
56 62 71 80 81 82 83 94 58 + 13 =
48 + 8 =
58 + 25 =
51 + 29 =
37 + 45 =
39 + 42 =
36 + 26 =
43 + 19 =
41 + 39 =
27 + 54 =
49 + 45 =
me var baroni â&#x20AC;&#x2030; 4
â&#x20AC;&#x2030;.
Team 38 lari Seagrova. bebom dabadebis dReze 15 lari aCuqa. SeZlebs Tea am fuliT 42-lariani qurTukis yidvas?
pasuxi: 33
geometriuli figurebi 1
moswavlis wigni gv. 86
romeli dasaxelebaa swori? aRniSne ` ~ - iT. oTxkuTxedi
a)
d)
oTxkuTxedi
b)
3
samkuTxedi
marTkuTxedi
kvadrati
wre
oTxkuTxedi
samkuTxedi e)
samkuTxedi
wre
marTkuTxedi
xuTkuTxedi
oTxkuTxedi
samkuTxedi
b) oTxi
sxvadasxva zomis marTkuTxedi.
g) oTxi
sxvadasxva zomis samkuTxedi.
oTxkuTxedi
DSeavse gamotovebuli adgilebi. EmarTkuTxeds aqvs
EkuTxe da
b) wres
E aqvs kuTxeebi.
g) kvadrats
aqvs
d) ExuTkuTxeds
aqvs
EkuTxe da
gverdi. gverdi. Ayvela gverdi
EkuTxe da
.
gverdi.
ganagrZe mimdevroba. a)
34
v)
Caxaze figurebi: a) oTxi sxvadasxva zomis kvadrati.
a)
4
kvadrati
marTkuTxedi
marTkuTxedi 2
g)
b)
2. SesaZlebelia ramdenime amonaxsni.
orniSna ricxvebis gamokleba aTeulis gavliT 1
mosw. wigni gv. 90
iangariSe lizas msgavsad da gamosaxe saangariSo xaziT. – 20 –5 47 – 25 = 22
27
47
38 – 27 = 85 – 34 = 76 – 28 =
2
iangariSe Temos msgavsad da gamosaxe saangariSo xaziT. –40 –7 85 – 47 = 78
38
85
34 – 16 = 93 – 38 = 73 – 27 =
3
iangariSe vasos msgavsad da gamosaxe saangariSo xaziT. – 20 –4 –3 44 – 27 = 17
20
40
44
73 – 35 = 56 – 19 = 62 – 24 = 35
orniSna ricxvebis gamokleba aTeulis gavliT 1
amoxseni lizasa da Temos msgavsad. a)
51 − 34 =
b)
83 − 56 =
− 34 −
g)
−
−
− −
−
4
83
74
b)
6 4 − 2 7 =
8 2 − 6 5 =
g)
4 3 − 2 5 =
6 4 −
=
8 2 −
=
−
=
−
=
−
=
−
=
iangariSe Seni gziT. a)
4 5 − 2 6 =
b)
8 2 − 5 9 =
g)
9 1 − 6 3 =
d)
7 1 − 5 4 =
e)
9 5 − 3 8 =
v)
5 2 − 1 3 =
amoxseni magaliTebi da gamoicani winadadeba. f
T
k
i
e
b
l
18 19 24 27 28 35 38 81 − 57 = 55 − 27 = 65 − 46 = 71 − 44 = 66 − 28 = 43 − 16 = 36
−
amoxseni sofosa da levanis msgavsad. a)
3
74 − 28 =
−
51 2
mosw. wigni gv. 91
62 − 34 = 52 − 14 = 97 − 79 = 83 − 55 = 63 − 28 = 71 − 44 =
Cven varT
savarjiSoebi gamoklebaze 1
a)
−
5
b)
7 12 17
−
17 37 77 d)
−
e)
8 16 19 27
−
44 − 18 = 26
b)
g)
−
8 27
53
41 85
0 82
14 36 52 28
v)
−
7 18
35
62 75
28 87
71 − 34 = 43
g)
56 − 38 = 18
82 − 44 = 46
53 − 47 = 6
74 − 27 = 47
63 − 25 = 38
95 − 26 = 70
62 − 33 = 31
a)
b)
94
g)
99 45 17 9
27 7
5
12 15
51 71 83
46
4
5
ipove 4 Secdoma da gaaswore. a)
3
2
12 42 92
34 64 74 2
moswavlis wigni gv. 92-93
112 58 35 4
erTmaneTTan daakavSire urTierTSebrunebuli magaliTebi da iangariSe. 76 −
= 49
34 + 19 =
37 +
= 66
49 +
66 − = 76
53 − 19 =
a)
39 29 36 25 28 75 56 16 53 47
= 37
47 + 38 = 85 − 38 =
g)
b)
54 59
68 24
33
92
17
38 66
45
47 49 34 63 16 81 29 38 74 55
d)
42 48
49 15
25
64
18
37
29 11 37
savarjiSoebi Sekreba-gamoklebaze 1
a)
g)
b)
66
75
39
moswavlis wigni gv. 94
44
d)
81
69
18
99
37
63 37
44 e)
v)
51
z)
95
72
47
47 38
T)
27
100
19 83
2
100
90
amoxseni magaliTebi da gamoicani sityva. a
e
q
c
n
i
r
15 27 45 63 65 66 76 27
+ 38 =
19 + 26 =
73
− 58 =
71 − 44 =
46
+ 17 =
35 + 10 =
34
− 19 = − 16 =
84 − 18 =
92
35 − 20 =
ici es zRapari? 3
niko babua 75 wlisaa, misi vaJi kaxa − 54 wlis, xolo SviliSvili lela − 19 wlis. a)
ramdeni wliT ufrosia niko babua kaxaze?
pasuxi: b) lela
da kaxa erTad ufro meti wlisani arian, Tu niko babua?
pasuxi:
38
fuli â&#x20AC;&#x201C; gamoyenebiTi angariSi
moswavlis wigni gv. 95-98
15
13 34
89 49
1
ra Rirs a) lampa da nagvis yuTi? 2 +
2=
b) merxi
da saaTi? 2 +
2 2
sul
da kalmebis Casawyobi?
2 =
2 +
2 2
sul
v)
sul
2 +
2
sul
2=
2 = 19 2
2 +
2
2 2
sul
e)
2
7
g) merxi
d)
49 2 + 7 2 =
2
8
6
2=
2 2
sul
ramdens damibruneben? a)
vyidulob skams da vixdi 2 +
2=
b) vyidulob
g) vyidulob
da vixdi 2 +
2 2
sul
lampas
magidas da vixdi 2 =
2 +
2 2
sul e)
v)
vixdi
2 + 8 2 =
2
damibruneben 2
2 +
2=
2 2
sul
d)
vixdi
sawer
vixdi 2 =
damibruneben 2
2
2 +
2=
2
damibruneben 2 39
gaormageba | ganaxevreba 1
Sua xazis marjvniv Caxate igive ornamenti/mimdevroba. ramdeni ujraa TiToeuli feri? dawere Sekrebis magaliTebi. a)
2
b)
17 +
=
20 +
=
+
=
+
=
+
=
+
=
+
=
+
=
+
=
26 + 26 = 17 +
b)
41 +
+
= 68
+
= 72
=
+
= 38
+ 25 =
+
= 94
g)
+ 49 = 38 +
=
gaanaxevre. miuxate gamyofi Sua xazi. dawere Sesabamisi magaliTi. a)
b)
36 = a)
b)
g)
+
ricxvi
= 35
13
ricxvi ganaxevrebuli
56
+
44 94
gaormagebuli
40
40 + 40 =
=
+ 33 =
4
g)
gaaormage. a)
3
moswavlis wigni gv. 100-101
86
37 68
14 47
=
82 90
29
39
+
moswavlis wigni gv. 106-107
ricxviTi gamosaxuleba 1
ipove ricxviTi gamosaxulebis mniSvneloba. a)
2
4
3 9 – (1 4 + 7) =
5 6 + (1 9 + 8) =
(5 0 - 1 7) + 2 0 =
(2 3 + 1 4) – 4 2 =
3 8 + (1 7 + 6) =
3 6 – (1 7 – 9) =
(2 6 + 1 8) – 9 =
4 2 – 1 5 + 5 = 2 2
b)
9 1 – 8 5 + 6 = 0
2 1 + 9 – 5 = 2 5
6 0 – 2 3 + 1 8 = 6 5
3 7 + 2 9 – 6 = 5 0
5 6 + 2 0 – 1 0 = 4 6
Cawere ricxviTi gamosaxuleba da gamoTvale misi mniSvneloba. a)
25-isa da 7-is jams miumate 15.
b)
73-s gamoakeli 23-isa da 9-is sxvaoba.
g)
42-s miumate 12-isa da 8-is jami.
d)
84-isa da 17-is sxvaobas gamoakeli 15.
gamoiyene Sekrebis Tviseba da gamoTvale jami advili gziT. a)
5
b)
dasvi frCxilebi ise, rom miiRo swori toloba. a)
3
3 8 – (9 + 2) =
3 5 + 7 + 5 =
b) 5
7 + 5 + 3 + 5 =
2 8 + 1 3 + 2 =
3 4 + 9 + 6 + 1 1 =
4 7 + 1 8 + 3 =
1 7 + 1 9 + 2 3 + 2 1 =
ipove ucnobi ricxvi a)
1 4 + 6 +
= 3 1
2 2 + 4 +
= 4 3
b)
+ 7 + 7 = 2 4 + 1 8 + 9 = 6 0
41
sagnebis SerCevis SesaZleblobebi 1
Cacmis ramdeni SesaZlebloba aqvs nikas?
2
ricxviT baraTebze mocemuli cifrebiT aawyve, rac SeiZleba meti orniSna ricxvi 100-mde.
mosw. wigni gv. 108-109
0 1 6 8 3
lile kamaTliT TamaSobs. man gaagora sami erTnairi ricxvi da erTi gansxvavebuli wyvili. ramdeni SesaZlebloba arsebobs?
arsebobs 3 erTnairi ricxvisa da erTi wyvilis gagorebis SesaZlebloba. 42
gamoyenebiTi angariSi 1
biblioTekam meoreklaselTaTvis moawyo Sejibri xmamaRla kiTxvaSi. ramdeni bavSvi Caewera?
pasuxi:
2
moswavlis wigni gv. 110
kiTxvis Sejib rSi monawileTa si a klasi
biWebi
2a 2b 2g 2d
4 1 9 11
gogonebi
8 12 7 9
TiToeulma moswavlem 1 wuTis ganmavlobaSi xmamaRla waikiTxa arCeuli teqsti da 2 wuTis ganmavlobaSi ucxo teqsti. ramdeni wuTi dasWirda 2a klass?
pasuxi:
3
dajildoeba gaimarTeba xuTSabaTs, 14 saaTze da gagrZeldeba 1 saaTis ganmavlobaSi. romel saaTze damTavrdeba dajildoeba?
pasuxi:
4
dajildoebisTvis iyides 1 cali 20-lariani wigni, 4 cali 15-lariani wigni da 1 cali 12-lariani SemecnebiTi wigni. sul ramdeni lari gadaixades wignebSi?
pasuxi: 43
gamoyenebiTi angariSi 1
moswavlis wigni gv. 111
yvela amocanas miuwere kiTxva, amonaxsni da pasuxi. a) qalbaton veneras baRisTvis 3 pomidvris nergis yidva unda. kiTxva:
pasuxi: b) qalbatonma
42
veneram gadaixada 50-lariani kupiuriT.
kiTxva:
pasuxi: g) qalbatoni
venera savaWro centrSi 18 saaTze mivida, iqidan wamovida 20 saaTze.
kiTxva:
pasuxi:
2
savaWro centrSi aqciaa: Txilis ori nergi 12 lari Rirs. a)
ukve gaiyida 14 nergi.
kiTxva:
pasuxi: b)
ra Rirs Txilis erTi nergi? 12 2
pasuxi: 44
figuris areebi, figuris sazRvari 1
mocemuli figurebis gamoyenebiT SeqmeniT ilustracia `afriani gemi~.
.
2
moswavlis wigni gv. 112-113
.
Caxate: a)
5
b)
oTxkuTxedis sazRvarze 3
g)
4
d)
samkuTxedis Siga areSi. .
samkuTxedis gare areSi.
oTxkuTxedis Siga areSi 7
.
45
figurebis Sedareba 1
moswavlis wigni gv. 114-115
daxaze mocemuli figurebis toli figurebi. a)
b)
g)
d)
e)
v)
z)
T)
i)
k)
2
daxaze erTnairi figurebi. gamyofi Sua xazidan Seamowme sarkiT.
3
toli figurebi gaaferade erT ferSi.
5
moifiqre geometriuli figurebi da gaaferade.
46
gamoyenebiTi angariSi 1
moswavlis wigni gv.118, 119
romel kiTxvas upasuxeb? ramden biWs xedav karuselze? 2 srola 2 2 5 srola 3 2
1 wre 22
karuselze zis 6 bavSvi. ramdeni lari gadaixada yvelam erTad? ramdenjer trialebs karuseli erTi gaseirnebisas?
2
Seavse.
mozrdili adamianisTvis Rirs lari.
mamisa da SvilisTvis Rirs lari.
3
fasi
ori mozrdili adamianisTvis Rirs lari.
ufrosebi 4 bavSvebi 2
bavSvebisTvis Rirs lari.
dawere suraTis Sesabamisi kiTxva da upasuxe.
47
Tavsatexi Tavsatexi
minus 3 kodi (yvela aso icvleba win mdebare mesame asoTi).
a
b
g
d
e
v
z
T
i
k
l
m
n
o
p
J
r
x
j
h
a
b
g
d
e
v
z
T
i
k
l
m
n
o
gacvlis kodi
S
g
l
q
x
e
s
d
R
u
naxati kodi: X
l
a
f
l
i
T
x
1
gaSifre sami Setyobineba. TiTos TiTo kodi sWirdeba.
2
ipove sakuTari kodi. Semdeg dawere koduri Setyobineba.
48
r
d
y
v
danarTi 1: aseulis dafa da Jetonebi
1
2
3
4
5
6
7
8
9 10
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
danarTi 1: carieli aseulis dafa da Jetonebi
danarTi 2: aTeulis veli da xuTeulis zolebi
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
5 76 77 78 79 80 81 82 83 84 85 86 87 88 89 9â&#x20AC;&#x160;0 91 92 93 94 95 96 97 98 99 100101102 103
9 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79
3 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
0
danarTi 3: ricxviTi sxivi
danarTi 3: fuli
danarTi 5. saswavlo saaTi
23 11 22
24 / 0 12
13 1 2
10
21 9
20
14
3 15
8
4 7 19
6 18
5 17
16